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

Time bar (total: 9.0s)

analyze4.0ms (0%)

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

Compiled 19 to 15 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-add: 1.0ms (52.8% of total)
ival-mult: 1.0ms (52.8% 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)

sample1.1s (11.8%)

Results
789.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 499.0ms
ival-mult: 234.0ms (46.9% of total)
ival-add: 118.0ms (23.6% of total)
ival-div: 62.0ms (12.4% of total)
ival-sub: 59.0ms (11.8% of total)
const: 24.0ms (4.8% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess450.0ms (5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02460
16252
217452
342451
481951
5133451
6215351
7298951
8336151
9353651
10381851
11384051
12388051
13430751
01417
13017
25117
36317
47117
59017
614817
730517
877717
9148617
10275917
11323317
12334917
13339317
14340117
15340117
0340114
Stop Event
iter limit
saturated
saturated
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)
(- (/ (- 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))
(+ x (/ (+ 230753/100000 (* x -27061/100000)) (+ 1 (* x (+ (* x 4481/100000) -99229/100000)))))
(neg (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))
(- (/ (+ 230753/100000 (* x -27061/100000)) (+ -1 (* x (- 99229/100000 (* x 4481/100000))))) x)

explain287.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-0-(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 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
147.0ms512×0valid
Compiler

Compiled 162 to 126 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 65.0ms (60.8% of total)
ival-add: 26.0ms (24.3% of total)
ival-div: 7.0ms (6.5% of total)
const: 6.0ms (5.6% of total)
ival-sub: 3.0ms (2.8% 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)

localize271.0ms (3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
12770
24670
38870
413670
519870
631570
755170
897170
9145670
10265370
11312570
12324170
13328570
14329370
15329370
0329359
Stop Event
iter limit
saturated
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)
Results
98.0ms256×0valid
Compiler

Compiled 72 to 56 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 24.0ms (53.7% of total)
ival-sub: 7.0ms (15.7% of total)
ival-add: 7.0ms (15.7% of total)
ival-div: 3.0ms (6.7% of total)
const: 3.0ms (6.7% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

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

18 calls:

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

rewrite791.0ms (8.8%)

Algorithm
batch-egg-rewrite
Rules
7962×accelerator-lowering-fma.f32
7962×accelerator-lowering-fma.f64
5760×*-lowering-*.f32
5760×*-lowering-*.f64
4146×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01450
18750
273950
0841042
Stop Event
iter limit
node limit
Counts
6 → 410
Calls
Call 1
Inputs
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000)))))
(* x 27061/100000)
(* x -4481/100000)
(* x (- 99229/100000 (* x -4481/100000)))
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000))))) x)
(+ 230753/100000 (* x 27061/100000))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (*.f64 x #s(literal 27061/100000 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) #s(literal 230753/100000 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))) (*.f64 (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (+.f64 (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))) (*.f64 (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (+.f64 (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
(+.f64 (*.f64 #s(literal 230753/100000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))
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simplify651.0ms (7.2%)

Algorithm
egg-herbie
Rules
10186×accelerator-lowering-fma.f32
10186×accelerator-lowering-fma.f64
4326×*-lowering-*.f32
4326×*-lowering-*.f64
1436×neg-lowering-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118434
1317426
2740422
31788386
46711386
08470356
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
230753/100000
(+ 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 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x)) x)
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 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 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 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 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(+.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 -30191289437/10000000000 binary64))))
(* -1 x)
(neg.f64 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 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 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 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))

eval276.0ms (3.1%)

Compiler

Compiled 20587 to 15594 computations (24.3% saved)

prune72.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New47210482
Fresh000
Picked011
Done000
Total47211483
Accuracy
100.0%
Counts
483 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
52.1%
(-.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)
98.8%
(-.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)
53.1%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
56.9%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 binary64) x)) x)
98.2%
(-.f64 #s(literal 230753/100000 binary64) x)
49.7%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
56.9%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
53.2%
(neg.f64 x)
49.0%
#s(literal 230753/100000 binary64)
Compiler

Compiled 172 to 130 computations (24.4% saved)

localize319.0ms (3.5%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02183
14183
26483
38383
410283
514383
622883
736983
870483
9137883
10266483
11321983
12336483
13344283
14345983
15346183
0346173
Stop Event
iter limit
saturated
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 x)
(- (/ 27061/4481 x) x)
(/ 27061/4481 x)
27061/4481
(+ 230753/100000 (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)))
(* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000))
(+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)
(* x 1900161040244073/1000000000000000)
1900161040244073/1000000000000000
-30191289437/10000000000
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 x)
(-.f64 #s(literal 230753/100000 binary64) x)
(- (/ 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)
(+ 230753/100000 (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
(* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000))
(*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)))
(+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)
(+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))
(* x 1900161040244073/1000000000000000)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
1900161040244073/1000000000000000
#s(literal 1900161040244073/1000000000000000 binary64)
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
Results
101.0ms256×0valid
Compiler

Compiled 91 to 68 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 45.0ms (63.5% of total)
ival-add: 11.0ms (15.5% of total)
ival-div: 7.0ms (9.9% of total)
ival-sub: 4.0ms (5.6% of total)
const: 4.0ms (5.6% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

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

36 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000))
1.0ms
x
@0
(- (/ 27061/4481 x) x)
0.0ms
x
@0
(* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000))
0.0ms
x
@inf
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))) x)
0.0ms
x
@-inf
(* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000))

rewrite676.0ms (7.5%)

Algorithm
batch-egg-rewrite
Rules
5076×accelerator-lowering-fma.f32
5076×accelerator-lowering-fma.f64
3932×/-lowering-/.f32
3932×/-lowering-/.f64
3826×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02170
113670
2120370
0838461
Stop Event
iter limit
node limit
Counts
12 → 401
Calls
Call 1
Inputs
(* x 27061/100000)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000)))
(* x 99229/100000)
(+ 230753/100000 (* x 27061/100000))
(- 230753/100000 x)
(/ 27061/4481 x)
(- (/ 27061/4481 x) x)
(* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000))
(* x 1900161040244073/1000000000000000)
(+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)
(+ 230753/100000 (* x (+ (* x 1900161040244073/1000000000000000) -30191289437/10000000000)))
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x 99229/100000))) x)
Outputs
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 #s(literal 27061/100000 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))))
(-.f64 (/.f64 (/.f64 #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 #s(literal 99229/100000 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))))
(neg.f64 (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -99229/100000 binary64))))))
(/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (+.f64 (*.f64 x #s(literal -27061/100000 binary64)) #s(literal -230753/100000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -99229/100000 binary64))))
(/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64))) (*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))))
(/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))
(/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)))))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))))))
(/.f64 (+.f64 #s(literal -12286892763167777/1000000000000000 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(/.f64 (+.f64 #s(literal -53246947009/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) (neg.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal -230753/100000 binary64)))))
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x (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))) (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))) (+.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (-.f64 #s(literal 0 binary64) x))))))
(*.f64 (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))))))))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))) (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -99229/100000 binary64)))))))

simplify495.0ms (5.5%)

Algorithm
egg-herbie
Rules
7422×accelerator-lowering-fma.f32
7422×accelerator-lowering-fma.f64
2866×*-lowering-*.f32
2866×*-lowering-*.f64
1438×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134734
1365716
2909692
32712652
46089650
08210596
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
(* 99229/100000 x)
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
230753/100000
(+ 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)))))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ (+ 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))))))
(* -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))))
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
(* 1900161040244073/1000000000000000 x)
-30191289437/10000000000
(- (* 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)))
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))))
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)))))
Outputs
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 2003561459544073/1000000000000000 binary64) (*.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64)))))))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) x))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 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)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(-.f64 (/.f64 #s(literal 27061/4481 binary64) 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))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) 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 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 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))))
(* 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 x (*.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))))
(* (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 x (*.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))))
(* (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 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
(- (* 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)))
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 (- (* 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 x (*.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 (/ 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 x (*.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 (* -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)))))
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 (*.f64 x #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 30191289437/10000000000)))
(+.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 -30191289437/10000000000 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 (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) x)
(* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3))))))
(-.f64 (+.f64 #s(literal 27061/99229 binary64) (/.f64 (-.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal 2019128943700000/977047873985989 binary64) x)) 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 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)) 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)

eval204.0ms (2.3%)

Compiler

Compiled 13481 to 9602 computations (28.8% saved)

prune65.0ms (0.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New5432545
Fresh145
Picked145
Done011
Total54511556
Accuracy
100.0%
Counts
556 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
52.1%
(-.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)
53.1%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
56.9%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
98.2%
(-.f64 #s(literal 230753/100000 binary64) x)
58.9%
(-.f64 #s(literal 27061/99229 binary64) x)
49.7%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
56.9%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
53.2%
(neg.f64 x)
49.0%
#s(literal 230753/100000 binary64)
Compiler

Compiled 130 to 97 computations (25.4% saved)

localize288.0ms (3.2%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1651231776/20079361 binary64) x)
cost-diff0
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
cost-diff0
(-.f64 (/.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 x #s(literal -30191289437/10000000000 binary64))
cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
cost-diff-64
(neg.f64 x)
cost-diff0
(-.f64 #s(literal 27061/99229 binary64) x)
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)
accuracy99.4%
(/.f64 #s(literal -1651231776/20079361 binary64) x)
accuracy100.0%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
accuracy99.9%
(-.f64 (+.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 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
accuracy99.5%
(*.f64 x #s(literal -30191289437/10000000000 binary64))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(-.f64 #s(literal 27061/99229 binary64) x)
Rules
1024×accelerator-lowering-fma.f32
1024×accelerator-lowering-fma.f64
416×*-lowering-*.f32
416×*-lowering-*.f64
304×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01857
13257
24857
37757
412457
519557
634357
753757
884457
9114357
10172157
11192157
12200357
13200957
0200954
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- 27061/99229 x)
27061/99229
x
(neg x)
(+ 230753/100000 (* x -30191289437/10000000000))
230753/100000
(* x -30191289437/10000000000)
-30191289437/10000000000
(- (+ 230753/100000 (* x -20191289437/10000000000)) x)
(+ 230753/100000 (* x -20191289437/10000000000))
(* x -20191289437/10000000000)
-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
Outputs
(- 27061/99229 x)
(-.f64 #s(literal 27061/99229 binary64) x)
27061/99229
#s(literal 27061/99229 binary64)
x
(neg x)
(-.f64 #s(literal 0 binary64) x)
(+ 230753/100000 (* x -30191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 30191289437/10000000000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x -30191289437/10000000000)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
-30191289437/10000000000
#s(literal -30191289437/10000000000 binary64)
(- (+ 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)))
(* x -20191289437/10000000000)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
-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)
Results
77.0ms256×0valid
Compiler

Compiled 66 to 46 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 12.0ms (31.1% of total)
ival-mult: 12.0ms (31.1% of total)
ival-add: 7.0ms (18.1% of total)
ival-sub: 4.0ms (10.4% of total)
const: 3.0ms (7.8% of total)
ival-neg: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (- 27061/99229 x)>
#<alt (neg x)>
#<alt (* x -30191289437/10000000000)>
#<alt (+ 230753/100000 (* x -30191289437/10000000000))>
#<alt (* x -20191289437/10000000000)>
#<alt (- (+ 230753/100000 (* x -20191289437/10000000000)) x)>
#<alt (+ 230753/100000 (* x -20191289437/10000000000))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)>
#<alt (+ 27061/4481 (/ -1651231776/20079361 x))>
#<alt (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)>
Outputs
#<alt 27061/99229>
#<alt (+ 27061/99229 (* -1 x))>
#<alt (+ 27061/99229 (* -1 x))>
#<alt (+ 27061/99229 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/99229 (/ 1 x)) 1))>
#<alt (* x (- (* 27061/99229 (/ 1 x)) 1))>
#<alt (* x (- (* 27061/99229 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 27061/99229 (/ 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 (* -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 (* -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 (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -20191289437/10000000000 x)>
#<alt 230753/100000>
#<alt (+ 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 (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (/ -1651231776/20079361 (pow x 2))>
#<alt (/ (- (* 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))))))>
Calls

33 calls:

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

rewrite598.0ms (6.6%)

Algorithm
batch-egg-rewrite
Rules
4848×accelerator-lowering-fma.f32
4848×accelerator-lowering-fma.f64
4168×/-lowering-/.f32
4168×/-lowering-/.f64
3846×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852
111852
2102252
0876649
Stop Event
iter limit
node limit
Counts
11 → 509
Calls
Call 1
Inputs
(- 27061/99229 x)
(neg x)
(* x -30191289437/10000000000)
(+ 230753/100000 (* x -30191289437/10000000000))
(* x -20191289437/10000000000)
(- (+ 230753/100000 (* x -20191289437/10000000000)) x)
(+ 230753/100000 (* x -20191289437/10000000000))
(/ -1651231776/20079361 x)
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)
Outputs
(+.f64 #s(literal 27061/99229 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 27061/99229 binary64))
(+.f64 (/.f64 #s(literal 19816708627981/977047873985989 binary64) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x (+.f64 #s(literal 27061/99229 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x (+.f64 #s(literal 27061/99229 binary64) x))))))
(+.f64 (/.f64 #s(literal 732297721/9846394441 binary64) (+.f64 #s(literal 27061/99229 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 27061/99229 binary64) x))))
(-.f64 #s(literal 27061/99229 binary64) x)
(-.f64 (/.f64 #s(literal 19816708627981/977047873985989 binary64) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x (+.f64 #s(literal 27061/99229 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x (+.f64 #s(literal 27061/99229 binary64) x)))))
(-.f64 (/.f64 #s(literal 732297721/9846394441 binary64) (+.f64 #s(literal 27061/99229 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 27061/99229 binary64) x)))
(fma.f64 x #s(literal -1 binary64) #s(literal 27061/99229 binary64))
(fma.f64 #s(literal 19816708627981/977047873985989 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x (+.f64 #s(literal 27061/99229 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 732297721/9846394441 binary64) (*.f64 x (+.f64 #s(literal 27061/99229 binary64) x))))))
(fma.f64 #s(literal 732297721/9846394441 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27061/99229 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 27061/99229 binary64) x))))
(fma.f64 #s(literal -1 binary64) x #s(literal 27061/99229 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 0 binary64))) #s(literal 27061/99229 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 27061/99229 binary64))
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(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 x x)))) (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 x x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 x x)))))) (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))) (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) x)) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) x))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) (/.f64 (/.f64 x (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x))) (+.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) (*.f64 x x))))))
(*.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal -27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))))

simplify446.0ms (5%)

Algorithm
egg-herbie
Rules
8286×accelerator-lowering-fma.f32
8286×accelerator-lowering-fma.f64
2444×*-lowering-*.f32
2444×*-lowering-*.f64
1304×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072609
1189594
2452548
31103524
42922524
54511524
66598524
08031497
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
27061/99229
(+ 27061/99229 (* -1 x))
(+ 27061/99229 (* -1 x))
(+ 27061/99229 (* -1 x))
(* -1 x)
(* x (- (* 27061/99229 (/ 1 x)) 1))
(* x (- (* 27061/99229 (/ 1 x)) 1))
(* x (- (* 27061/99229 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))
(* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))
(* -1 (* x (- 1 (* 27061/99229 (/ 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)
(* -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 (* -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)))))
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
(* -20191289437/10000000000 x)
230753/100000
(+ 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)))))
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/ -1651231776/20079361 x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 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))))))
Outputs
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* -1 x))
(-.f64 #s(literal 27061/99229 binary64) x)
(+ 27061/99229 (* -1 x))
(-.f64 #s(literal 27061/99229 binary64) x)
(+ 27061/99229 (* -1 x))
(-.f64 #s(literal 27061/99229 binary64) x)
(* -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)) 1))
(-.f64 #s(literal 27061/99229 binary64) x)
(* x (- (* 27061/99229 (/ 1 x)) 1))
(-.f64 #s(literal 27061/99229 binary64) 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 (* 27061/99229 (/ 1 x)))))
(-.f64 #s(literal 27061/99229 binary64) x)
(* -1 (* x (- 1 (* 27061/99229 (/ 1 x)))))
(-.f64 #s(literal 27061/99229 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)
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(+ 230753/100000 (* -20191289437/10000000000 x))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 20191289437/10000000000 binary64)))
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 (pow x 2))
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/ -1651231776/20079361 (pow x 2))
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x))
(/ (- (* 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)

eval174.0ms (1.9%)

Compiler

Compiled 14490 to 9893 computations (31.7% saved)

prune82.0ms (0.9%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New6401641
Fresh011
Picked055
Done055
Total64012652
Accuracy
100.0%
Counts
652 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
52.1%
(-.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)
53.1%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
56.9%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
98.2%
(-.f64 #s(literal 230753/100000 binary64) x)
58.9%
(-.f64 #s(literal 27061/99229 binary64) x)
49.7%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
56.9%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
53.2%
(neg.f64 x)
49.0%
#s(literal 230753/100000 binary64)
9.5%
#s(literal 27061/99229 binary64)
Compiler

Compiled 87 to 66 computations (24.1% saved)

localize330.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
cost-diff0
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
cost-diff0
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
accuracy100.0%
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
accuracy99.7%
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
accuracy99.7%
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
accuracy99.6%
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
Rules
2768×accelerator-lowering-fma.f32
2768×accelerator-lowering-fma.f64
1028×div-sub
752×*-lowering-*.f32
752×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01153
11553
22053
32653
43453
55253
610053
717753
839753
978353
10173253
11299753
12432253
13487653
14494753
15496153
16496153
0496153
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
27061/99229
(- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x)
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
27061/4481
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361)
(/ 151724043800704/89975616641 x)
151724043800704/89975616641
x
-1651231776/20079361
Outputs
27061/99229
#s(literal 27061/99229 binary64)
(- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
27061/4481
#s(literal 27061/4481 binary64)
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361)
(+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
151724043800704/89975616641
#s(literal 151724043800704/89975616641 binary64)
x
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)
Results
52.0ms256×0valid
Compiler

Compiled 55 to 41 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 23.0ms (64.1% of total)
ival-add: 9.0ms (25.1% of total)
const: 2.0ms (5.6% of total)
ival-sub: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

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

15 calls:

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

rewrite525.0ms (5.8%)

Algorithm
batch-egg-rewrite
Rules
5454×accelerator-lowering-fma.f32
5454×accelerator-lowering-fma.f64
4932×*-lowering-*.f32
4932×*-lowering-*.f64
4558×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
17343
267143
0857743
Stop Event
iter limit
node limit
Counts
5 → 432
Calls
Call 1
Inputs
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(/ 151724043800704/89975616641 x)
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
(- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x)
Outputs
(+.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(+.f64 (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))) x) (/.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))) x))
(-.f64 (/.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (*.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))))
(fma.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 151724043800704/89975616641 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1651231776/20079361 binary64) (/.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) x))
(fma.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 151724043800704/89975616641 binary64) (*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x))
(neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
(/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x))) x))
(/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x))) x) (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x))
(/.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x))))
(/.f64 (+.f64 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (neg.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x))))))
(/.f64 (+.f64 #s(literal 4502193042845904546911256576/8095611589928196122881 binary64) (neg.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64))) (neg.f64 (*.f64 x (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) 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 (/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) x) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 (-.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) x) #s(literal -250531562306938255970304/1806652887732246401 binary64)) x)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64)) x) (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) #s(literal -2726566378072114176/403180738168321 binary64)) x)) (+.f64 (/.f64 #s(literal -151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)))) (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.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 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3492715628131539778362288623136356291313664/728407644889815871069003384462721 binary64) (*.f64 x (*.f64 x x))) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 23020185467237945893670895616/8095611589928196122881 binary64) (*.f64 x x)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (/.f64 #s(literal 250531562306938255970304/1806652887732246401 binary64) x))) x))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x)))) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x))) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x x)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x x))) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) x) x))
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))))) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x)) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x)))))) (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x)) (-.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64))))))))
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x))))) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (/.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) #s(literal 27061/4481 binary64)))) (+.f64 (*.f64 x x) (-.f64 #s(literal -27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)))))

simplify414.0ms (4.6%)

Algorithm
egg-herbie
Rules
10028×accelerator-lowering-fma.f32
10028×accelerator-lowering-fma.f64
2610×*-lowering-*.f32
2610×*-lowering-*.f64
1228×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082463
1212446
2530442
31344442
44297410
56590410
08170392
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ 151724043800704/89975616641 (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ -1651231776/20079361 x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ -1651231776/20079361 x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 (pow x 3))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 151724043800704/89975616641 (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(/ 151724043800704/89975616641 (pow x 3))
(/ (+ 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))))))
Outputs
(/ 151724043800704/89975616641 (pow x 2))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 (pow x 3))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x (*.f64 x x)))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x)
(/ 151724043800704/89975616641 (pow x 2))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64))
(/ 151724043800704/89975616641 (pow x 3))
(/.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ 151724043800704/89975616641 (* x (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361))) (pow x 3))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x (-.f64 #s(literal 27061/4481 binary64) (*.f64 x x)))))) (*.f64 x (*.f64 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))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x) x)
(* -1 x)
(-.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 (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x) #s(literal 27061/4481 binary64)) x) x)

eval280.0ms (3.1%)

Compiler

Compiled 18221 to 12893 computations (29.2% saved)

prune78.0ms (0.9%)

Pruning

12 alts after pruning (0 fresh and 12 done)

PrunedKeptTotal
New4920492
Fresh000
Picked022
Done01010
Total49212504
Accuracy
100.0%
Counts
504 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
52.1%
(-.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)
53.1%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
56.9%
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64))) x)
98.2%
(-.f64 #s(literal 230753/100000 binary64) x)
58.9%
(-.f64 #s(literal 27061/99229 binary64) x)
49.7%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
56.9%
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
53.2%
(neg.f64 x)
49.0%
#s(literal 230753/100000 binary64)
9.5%
#s(literal 27061/99229 binary64)
Compiler

Compiled 200 to 149 computations (25.5% saved)

regimes8.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 27061/99229 binary64)
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 27061/99229 binary64) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 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 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) 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 #s(literal 99229/100000 binary64)))) x)
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) 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 #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)
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:

4.0ms
x
3.0ms
(-.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
13 → 1
Calls
Call 1
Inputs
#s(literal 27061/99229 binary64)
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 27061/99229 binary64) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 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 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) 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 #s(literal 99229/100000 binary64)))) x)
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) 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
98.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 27061/99229 binary64)
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 27061/99229 binary64) x)
(-.f64 #s(literal 230753/100000 binary64) x)
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(-.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal -20191289437/10000000000 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 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
Outputs
(-.f64 #s(literal 230753/100000 binary64) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 27061/99229 binary64)
#s(literal 230753/100000 binary64)
(neg.f64 x)
(-.f64 #s(literal 27061/99229 binary64) x)
Outputs
(neg.f64 x)
#s(literal 230753/100000 binary64)
(neg.f64 x)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.7%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 27061/99229 binary64)
#s(literal 230753/100000 binary64)
Outputs
#s(literal 230753/100000 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
49.0%1x
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 27061/99229 binary64)
Outputs
#s(literal 27061/99229 binary64)
Calls

1 calls:

0.0ms
x
Results
AccuracySegmentsBranch
9.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch41.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
9.937792251945399e-8
8.65891345728924
18.0ms
-72.1494442716621
-5.281276597688673e-12
Results
27.0ms304×0valid
Compiler

Compiled 155 to 131 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (52% of total)
ival-add: 4.0ms (20.8% of total)
ival-div: 2.0ms (10.4% of total)
ival-sub: 1.0ms (5.2% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

soundness1.0ms (0%)

Stop Event
done
Compiler

Compiled 49 to 36 computations (26.5% saved)

preprocess38.0ms (0.4%)

Compiler

Compiled 134 to 100 computations (25.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...