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

Time bar (total: 8.2s)

analyze6.0ms (0.1%)

Memory
-38.7MiB live, 7.2MiB allocated
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 16 computations (15.8% saved)

sample1.5s (18.4%)

Memory
23.5MiB live, 1 250.5MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 993.0ms
const: 577.0ms (58.1% of total)
ival-mult: 153.0ms (15.4% of total)
ival-add: 143.0ms (14.4% of total)
ival-sub: 54.0ms (5.4% of total)
ival-div: 51.0ms (5.1% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess444.0ms (5.4%)

Memory
-137.7MiB live, 36.6MiB allocated
Algorithm
egg-herbie
Rules
1 400×accelerator-lowering-fma.f32
1 400×accelerator-lowering-fma.f64
584×*-lowering-*.f32
584×*-lowering-*.f64
344×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
13737
210335
328534
471534
5127634
6175234
7239634
8245734
9248834
10248834
01417
12417
24017
38417
418217
536317
661517
799117
8157517
9208017
10223917
11229517
12232817
13233117
14233117
0233114
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
Outputs
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64))))

explain293.0ms (3.6%)

Memory
0.7MiB live, 201.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
580-0-(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
00-0-(*.f64 x #s(literal 4481/100000 binary64))
00-0-#s(literal 99229/100000 binary64)
00-0-(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
00-0-#s(literal 1 binary64)
00-0-(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
00-0-(*.f64 x #s(literal 27061/100000 binary64))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))
00-0-(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
00-0-#s(literal 27061/100000 binary64)
00-0-#s(literal 4481/100000 binary64)
00-0-#s(literal 230753/100000 binary64)
00-0-x
00-0-(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
89.0ms512×0valid
Compiler

Compiled 180 to 60 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
const: 49.0ms (69% of total)
ival-mult: 9.0ms (12.7% of total)
ival-add: 6.0ms (8.4% of total)
ival-div: 3.0ms (4.2% of total)
ival-sub: 2.0ms (2.8% of total)
ival-true: 1.0ms (1.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify92.0ms (1.1%)

Memory
25.4MiB live, 64.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
cost-diff128
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))
cost-diff128
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
Rules
1 400×accelerator-lowering-fma.f32
1 400×accelerator-lowering-fma.f64
584×*-lowering-*.f32
584×*-lowering-*.f64
344×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

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

localize70.0ms (0.9%)

Memory
-19.0MiB live, 63.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)
accuracy99.4%
(*.f64 x #s(literal 27061/100000 binary64))
accuracy99.3%
(*.f64 x #s(literal 4481/100000 binary64))
accuracy78.7%
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))
Samples
55.0ms256×0valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
const: 32.0ms (69.6% of total)
ival-add: 6.0ms (13% of total)
ival-mult: 5.0ms (10.9% of total)
ival-div: 2.0ms (4.3% of total)
ival-sub: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))>
#<alt (+ 99229/100000 (* x 4481/100000))>
#<alt (- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))>
#<alt (* x 4481/100000)>
#<alt (* x 27061/100000)>
#<alt (* (+ 99229/100000 (* x 4481/100000)) x)>
Outputs
#<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 1>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))>
#<alt (+ 1 (* 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)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<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)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -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 (* 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 (* 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 (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
Calls

24 calls:

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

rewrite429.0ms (5.3%)

Memory
-16.8MiB live, 614.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 906×accelerator-lowering-fma.f32
6 906×accelerator-lowering-fma.f64
5 346×*-lowering-*.f32
5 346×*-lowering-*.f64
4 052×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464
18464
273064
0840853
Stop Event
iter limit
node limit
Counts
8 → 471
Calls
Call 1
Inputs
(+ 230753/100000 (* x 27061/100000))
(+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))
(+ 99229/100000 (* x 4481/100000))
(- x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x))))
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* (+ 99229/100000 (* x 4481/100000)) x)))
(* x 4481/100000)
(* x 27061/100000)
(* (+ 99229/100000 (* x 4481/100000)) x)
Outputs
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+.f64 #s(literal 230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(+.f64 (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))) #s(literal 230753/100000 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal 230753/100000 binary64))
(+.f64 (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)) #s(literal 230753/100000 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 53246947009/10000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(neg.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 99229/100000 binary64) x)))
(fma.f64 #s(literal 99229/100000 binary64) x (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))))
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) (*.f64 x #s(literal 99229/100000 binary64)))
(fma.f64 #s(literal 4481/100000 binary64) (*.f64 x x) (*.f64 #s(literal 99229/100000 binary64) x))
(fma.f64 (*.f64 x #s(literal 4481/100000 binary64)) x (*.f64 x #s(literal 99229/100000 binary64)))
(fma.f64 (*.f64 x #s(literal 4481/100000 binary64)) x (*.f64 #s(literal 99229/100000 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 4481/100000 binary64) (*.f64 x #s(literal 99229/100000 binary64)))
(fma.f64 (*.f64 x x) #s(literal 4481/100000 binary64) (*.f64 #s(literal 99229/100000 binary64) x))
(fma.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) x)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (-.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) x) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))))) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 99229/100000 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 99229/100000 binary64) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 99229/100000 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 99229/100000 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 #s(literal 99229/100000 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))))) (-.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 (*.f64 x #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64)))) (-.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x #s(literal 99229/100000 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 99229/100000 binary64) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))))) (-.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 (*.f64 #s(literal 99229/100000 binary64) x) (*.f64 #s(literal 99229/100000 binary64) x))) (-.f64 (*.f64 x (*.f64 x #s(literal 4481/100000 binary64))) (*.f64 #s(literal 99229/100000 binary64) x)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))))) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) x)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) x) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))))) x) (neg.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) x) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) x) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(*.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) x))
(*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) x))
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(*.f64 (*.f64 x (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))

simplify256.0ms (3.1%)

Memory
-0.2MiB live, 557.2MiB allocated
Algorithm
egg-herbie
Rules
9 368×accelerator-lowering-fma.f32
9 368×accelerator-lowering-fma.f64
2 950×*-lowering-*.f32
2 950×*-lowering-*.f64
1 702×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128590
1360582
2869556
32171520
46808520
08193466
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
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))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
230753/100000
(+ 230753/100000 (* -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))
(* 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)
(* 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)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.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))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.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))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) x))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 x (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) x) #s(literal -27061/4481 binary64)) x))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 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)
(* 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))
(* 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)
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))

eval77.0ms (0.9%)

Memory
21.7MiB live, 174.0MiB allocated
Compiler

Compiled 18 059 to 2 017 computations (88.8% saved)

prune69.0ms (0.8%)

Memory
17.2MiB live, 178.4MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New55314567
Fresh000
Picked101
Done000
Total55414568
Accuracy
100.0%
Counts
568 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
54.5%
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
60.7%
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
55.8%
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
54.5%
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
60.8%
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
100.0%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
46.4%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
76.5%
(-.f64 x (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
98.1%
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
47.7%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
97.2%
(-.f64 x #s(literal 230753/100000 binary64))
48.0%
x
53.4%
#s(literal -230753/100000 binary64)
Compiler

Compiled 260 to 190 computations (26.9% saved)

simplify549.0ms (6.7%)

Memory
-16.8MiB live, 425.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
cost-diff192
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
cost-diff0
(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff0
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
cost-diff0
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
cost-diff0
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
Rules
8 568×accelerator-lowering-fma.f32
8 568×accelerator-lowering-fma.f64
1 704×*-lowering-*.f32
1 704×*-lowering-*.f64
1 592×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031123
173123
2173123
3381122
4997121
52565121
64114121
75183121
85932121
96293121
106441121
116611121
126719121
136753121
146761121
156765121
167105121
177409121
187499121
197646121
207646121
217646121
227646121
07646101
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
x
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 27061/100000) 230753/100000)
27061/100000
230753/100000
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(+ (* x 4481/100000) 99229/100000)
4481/100000
99229/100000
1
-230753/100000
(+ (* x 30191289437/10000000000) -230753/100000)
x
30191289437/10000000000
-230753/100000
(- x (/ 27061/4481 x))
x
(/ 27061/4481 x)
27061/4481
(- x (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000))
x
(+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)
(+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)
(+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)
-179503363065659419717/100000000000000000000
1900161040244073/1000000000000000
-20191289437/10000000000
230753/100000
Outputs
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64))))
x
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(+ (* x 27061/100000) 230753/100000)
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
27061/100000
#s(literal 27061/100000 binary64)
230753/100000
#s(literal 230753/100000 binary64)
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ (* x 4481/100000) 99229/100000)
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
99229/100000
#s(literal 99229/100000 binary64)
1
#s(literal 1 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
(+ (* x 30191289437/10000000000) -230753/100000)
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
x
30191289437/10000000000
#s(literal 30191289437/10000000000 binary64)
-230753/100000
#s(literal -230753/100000 binary64)
(- x (/ 27061/4481 x))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
27061/4481
#s(literal 27061/4481 binary64)
(- x (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
x
(+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)
(fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))
(+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
-179503363065659419717/100000000000000000000
#s(literal -179503363065659419717/100000000000000000000 binary64)
1900161040244073/1000000000000000
#s(literal 1900161040244073/1000000000000000 binary64)
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
230753/100000
#s(literal 230753/100000 binary64)

localize105.0ms (1.3%)

Memory
3.8MiB live, 281.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
accuracy99.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))
accuracy99.9%
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
accuracy100.0%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
accuracy99.5%
(/.f64 #s(literal 27061/4481 binary64) x)
accuracy99.6%
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
accuracy99.7%
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
accuracy99.7%
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy78.7%
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
Samples
72.0ms256×0valid
Compiler

Compiled 105 to 33 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
const: 29.0ms (50.7% of total)
ival-mult: 12.0ms (21% of total)
ival-add: 7.0ms (12.2% of total)
ival-div: 4.0ms (7% of total)
ival-sub: 4.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-19.2MiB live, 19.9MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))>
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))>
#<alt (+ (* x 27061/100000) 230753/100000)>
#<alt (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)>
#<alt (+ (* x 30191289437/10000000000) -230753/100000)>
#<alt (- x (/ 27061/4481 x))>
#<alt (/ 27061/4481 x)>
#<alt (- x (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000))>
#<alt (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)>
#<alt (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)>
#<alt (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)>
#<alt (+ (* x 4481/100000) 99229/100000)>
Outputs
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))>
#<alt (+ 1 (* 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)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<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)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (/ -27061/4481 x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt (/ (- (pow x 2) 27061/4481) x)>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))>
#<alt (* 179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))>
#<alt 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 (* -179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))>
#<alt -20191289437/10000000000>
#<alt (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)>
#<alt (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)>
#<alt (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))>
#<alt (* -179503363065659419717/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))>
#<alt 1900161040244073/1000000000000000>
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))>
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))>
#<alt (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))>
#<alt (* -179503363065659419717/100000000000000000000 x)>
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))>
#<alt (* -179503363065659419717/100000000000000000000 x)>
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- x (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000))
1.0ms
x
@-inf
(- x (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000))
0.0ms
x
@0
(- x (/ 27061/4481 x))
0.0ms
x
@0
(/ 27061/4481 x)
0.0ms
x
@inf
(+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)

rewrite377.0ms (4.6%)

Memory
30.3MiB live, 797.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 774×accelerator-lowering-fma.f32
4 774×accelerator-lowering-fma.f64
4 236×*-lowering-*.f32
4 236×*-lowering-*.f64
4 194×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031106
1212106
21876106
0878986
Stop Event
iter limit
node limit
Counts
12 → 381
Calls
Call 1
Inputs
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 27061/100000) 230753/100000)
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(+ (* x 30191289437/10000000000) -230753/100000)
(- x (/ 27061/4481 x))
(/ 27061/4481 x)
(- x (+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000))
(+ (* x (+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)) 230753/100000)
(+ (* x (+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)) -20191289437/10000000000)
(+ (* x -179503363065659419717/100000000000000000000) 1900161040244073/1000000000000000)
(+ (* x 4481/100000) 99229/100000)
Outputs
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) x)
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) #s(literal -3610611978861437611091411629329/1000000000000000000000000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64) #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x #s(literal -341085297090152915588775917228587341/100000000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64) #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) (*.f64 x #s(literal -341085297090152915588775917228587341/100000000000000000000000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) #s(literal -3610611978861437611091411629329/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64))) (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) (*.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64))) (*.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64) #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x #s(literal -341085297090152915588775917228587341/100000000000000000000000000000000000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) #s(literal -3610611978861437611091411629329/1000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)))) (neg.f64 (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) (fma.f64 (/.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) (/.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64)) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))) (/.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x #s(literal -341085297090152915588775917228587341/100000000000000000000000000000000000 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64) #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) #s(literal -3610611978861437611091411629329/1000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -5783859957539525215413439598050327620955656970493588242474813/1000000000000000000000000000000000000000000000000000000000000 binary64) #s(literal 6860744213671060204503219918705801252765217017/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) (-.f64 #s(literal 3610611978861437611091411629329/1000000000000000000000000000000 binary64) (*.f64 x #s(literal -341085297090152915588775917228587341/100000000000000000000000000000000000 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 32221457351881942307971175939573168360089/10000000000000000000000000000000000000000 binary64) #s(literal -3610611978861437611091411629329/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))

simplify290.0ms (3.6%)

Memory
0.2MiB live, 589.0MiB allocated
Algorithm
egg-herbie
Rules
9 758×accelerator-lowering-fma.f32
9 758×accelerator-lowering-fma.f64
4 214×*-lowering-*.f32
4 214×*-lowering-*.f64
1 950×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021010
1594980
21683956
35077954
08190852
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(/ -27061/4481 x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
(/ (- (pow x 2) 27061/4481) x)
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(* 179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
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)))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
-20191289437/10000000000
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
1900161040244073/1000000000000000
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(* -179503363065659419717/100000000000000000000 x)
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* -179503363065659419717/100000000000000000000 x)
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64))) x)
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4))))))
(+.f64 (fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x)))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64))) x)
(* -1 (* x (- (+ (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))) 1)))
(+.f64 (fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -151724043800704/89975616641 binary64) x)) (*.f64 x x)))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 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 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 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 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(/ -27061/4481 x)
(/.f64 #s(literal -27061/4481 binary64) x)
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(/ (- (pow x 2) 27061/4481) x)
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x)
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x)
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x)
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) x)
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(fma.f64 x (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)) 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)
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000)))) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (* 1900161040244073/1000000000000000 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64))))
(* (pow x 3) (- (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2))) (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x)) x)))
(* 179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64))))
(* -1 (* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(*.f64 x (*.f64 x (fma.f64 x (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) #s(literal -1900161040244073/1000000000000000 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal -1900161040244073/1000000000000000 binary64) (/.f64 (-.f64 (/.f64 #s(literal -230753/100000 binary64) x) #s(literal -30191289437/10000000000 binary64)) x)) x)))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64)))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -20191289437/10000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) x)) x) #s(literal -179503363065659419717/100000000000000000000 binary64)) #s(literal 1900161040244073/1000000000000000 binary64)))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64)))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))) x)))))
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (/.f64 (+.f64 #s(literal -20191289437/10000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) x)) x)) x)))
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)
(fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)
(fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(*.f64 x (fma.f64 x (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 20191289437/10000000000 (pow x 2)))))
(*.f64 x (fma.f64 x (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) #s(literal 1900161040244073/1000000000000000 binary64)))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(*.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(*.f64 x (fma.f64 x (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(*.f64 x (fma.f64 x (+.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal -20191289437/10000000000 binary64) (*.f64 x x))) #s(literal 1900161040244073/1000000000000000 binary64)))
1900161040244073/1000000000000000
#s(literal 1900161040244073/1000000000000000 binary64)
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* -179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* -179503363065659419717/100000000000000000000 x)
(*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))

eval74.0ms (0.9%)

Memory
2.9MiB live, 161.1MiB allocated
Compiler

Compiled 15 703 to 1 627 computations (89.6% saved)

prune60.0ms (0.7%)

Memory
-10.9MiB live, 148.2MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New5223525
Fresh279
Picked055
Done000
Total52415539
Accuracy
100.0%
Counts
539 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
54.5%
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
60.7%
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
55.8%
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
54.5%
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
60.8%
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
76.5%
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))))
100.0%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
98.1%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
47.8%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
46.4%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
47.7%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
97.2%
(-.f64 x #s(literal 230753/100000 binary64))
48.0%
x
53.4%
#s(literal -230753/100000 binary64)
Compiler

Compiled 241 to 174 computations (27.8% saved)

simplify227.0ms (2.8%)

Memory
14.5MiB live, 214.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1651231776/20079361 binary64) x)
cost-diff0
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
cost-diff0
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
cost-diff0
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
cost-diff192
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
cost-diff0
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
cost-diff192
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
cost-diff0
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))
cost-diff0
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
Rules
3 280×accelerator-lowering-fma.f32
3 280×accelerator-lowering-fma.f64
1 072×*-lowering-*.f32
1 072×*-lowering-*.f64
712×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027111
157111
2119109
3263107
4562107
51078107
61773107
72596107
83474107
93928107
104010107
114077107
124125107
134135107
144247107
154287107
164287107
174287107
0428794
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))
x
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))
(+ (* x 27061/100000) 230753/100000)
27061/100000
230753/100000
(+ (* x 99229/100000) 1)
99229/100000
1
x
(- x (+ (* x -20191289437/10000000000) 230753/100000))
x
(+ (* x -20191289437/10000000000) 230753/100000)
-20191289437/10000000000
230753/100000
(- x (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))
x
(+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)
(+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)
1900161040244073/1000000000000000
-20191289437/10000000000
230753/100000
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
x
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
27061/4481
(/ -1651231776/20079361 x)
-1651231776/20079361
Outputs
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal -99229/100000 binary64) #s(literal -1 binary64))))
x
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))
(+ (* x 27061/100000) 230753/100000)
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
27061/100000
#s(literal 27061/100000 binary64)
230753/100000
#s(literal 230753/100000 binary64)
(+ (* x 99229/100000) 1)
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
99229/100000
#s(literal 99229/100000 binary64)
1
#s(literal 1 binary64)
x
(- x (+ (* x -20191289437/10000000000) 230753/100000))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
x
(+ (* x -20191289437/10000000000) 230753/100000)
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
230753/100000
#s(literal 230753/100000 binary64)
(- x (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
x
(+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
1900161040244073/1000000000000000
#s(literal 1900161040244073/1000000000000000 binary64)
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
230753/100000
#s(literal 230753/100000 binary64)
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
(-.f64 x (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
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)

localize405.0ms (5%)

Memory
-23.2MiB live, 146.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
accuracy100.0%
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
accuracy99.7%
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
accuracy99.3%
(/.f64 #s(literal -1651231776/20079361 binary64) x)
accuracy100.0%
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
accuracy99.9%
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
accuracy99.9%
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
accuracy99.5%
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
accuracy100.0%
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
accuracy100.0%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
accuracy99.9%
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))
accuracy99.7%
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
Samples
67.0ms256×0valid
Compiler

Compiled 100 to 29 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
const: 26.0ms (48.9% of total)
ival-add: 9.0ms (16.9% of total)
ival-mult: 8.0ms (15% of total)
ival-div: 5.0ms (9.4% of total)
ival-sub: 5.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))>
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))>
#<alt (+ (* x 27061/100000) 230753/100000)>
#<alt (+ (* x 99229/100000) 1)>
#<alt (- x (+ (* x -20191289437/10000000000) 230753/100000))>
#<alt (+ (* x -20191289437/10000000000) 230753/100000)>
#<alt (- x (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))>
#<alt (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)>
#<alt (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)>
#<alt (- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))>
#<alt (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)>
#<alt (+ 27061/4481 (/ -1651231776/20079361 x))>
#<alt (/ -1651231776/20079361 x)>
Outputs
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))>
#<alt (* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))>
#<alt (- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))>
#<alt (+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (* 30191289437/10000000000 x)>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))>
#<alt (* 30191289437/10000000000 x)>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt -230753/100000>
#<alt (- (* 30191289437/10000000000 x) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)>
#<alt (* -1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))>
#<alt (* -1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (* 1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x))))>
#<alt (* 1900161040244073/1000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))>
#<alt -20191289437/10000000000>
#<alt (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)>
#<alt (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)>
#<alt (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))>
#<alt (* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))>
#<alt (* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))>
#<alt (* 1900161040244073/1000000000000000 x)>
#<alt (* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))>
#<alt (* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))>
#<alt (* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))>
#<alt (/ 1651231776/20079361 (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (/ -1651231776/20079361 (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
Calls

39 calls:

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

rewrite395.0ms (4.8%)

Memory
-3.6MiB live, 415.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 590×/-lowering-/.f32
4 590×/-lowering-/.f64
4 218×*-lowering-*.f32
4 218×*-lowering-*.f64
3 924×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02795
119495
2180695
0860882
Stop Event
iter limit
node limit
Counts
13 → 404
Calls
Call 1
Inputs
(- x (/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1)))
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x 99229/100000) 1))
(+ (* x 27061/100000) 230753/100000)
(+ (* x 99229/100000) 1)
(- x (+ (* x -20191289437/10000000000) 230753/100000))
(+ (* x -20191289437/10000000000) 230753/100000)
(- x (+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000))
(+ (* x (+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)) 230753/100000)
(+ (* x 1900161040244073/1000000000000000) -20191289437/10000000000)
(- x (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x))
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
(/ -1651231776/20079361 x)
Outputs
(+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))
(+.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x)
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (fma.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) (-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))))))
(fma.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))) x)
(fma.f64 (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 977047873985989/1000000000000000 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 9846394441/10000000000 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal -1 binary64)))) x)
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 19816708627981/89975616641 binary64) (/.f64 #s(literal -4502193042845904546911256576/8095611589928196122881 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x)) #s(literal 732297721/20079361 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64)) (+.f64 #s(literal 19816708627981/89975616641 binary64) (/.f64 #s(literal -4502193042845904546911256576/8095611589928196122881 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 19816708627981/89975616641 binary64) (/.f64 #s(literal -4502193042845904546911256576/8095611589928196122881 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) (-.f64 (/.f64 #s(literal -1651231776/20079361 binary64) x) #s(literal 27061/4481 binary64)) #s(literal 732297721/20079361 binary64))))
(*.f64 (-.f64 #s(literal 732297721/20079361 binary64) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -20079361/1651231776 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -20079361/1651231776 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)))))
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/.f64 #s(literal -1651231776/20079361 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1651231776/20079361 binary64) (neg.f64 x))
(/.f64 #s(literal 1651231776/20079361 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -20079361/1651231776 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal -20079361/1651231776 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(*.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1651231776/20079361 binary64))

simplify316.0ms (3.9%)

Memory
7.9MiB live, 376.4MiB allocated
Algorithm
egg-herbie
Rules
10 108×accelerator-lowering-fma.f32
10 108×accelerator-lowering-fma.f64
3 314×*-lowering-*.f32
3 314×*-lowering-*.f64
2 598×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191954
1523908
21263876
33591832
08170740
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* 99229/100000 x))
(+ 1 (* 99229/100000 x))
(* 99229/100000 x)
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* 99229/100000 x)
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* 30191289437/10000000000 x) 230753/100000)
(* 30191289437/10000000000 x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(* 30191289437/10000000000 x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* -20191289437/10000000000 x))
(* -20191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* -20191289437/10000000000 x)
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
-230753/100000
(- (* 30191289437/10000000000 x) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(* -1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(* 1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x))))
(* 1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
-20191289437/10000000000
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(* 1900161040244073/1000000000000000 x)
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(* 1900161040244073/1000000000000000 x)
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(/ 1651231776/20079361 (pow x 2))
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/ -1651231776/20079361 x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
Outputs
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -2003561459544073/1000000000000000 x))) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal -2003561459544073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* x (- (* 198811400069098819717/100000000000000000000 x) 2003561459544073/1000000000000000)))) 230753/100000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 198811400069098819717/100000000000000000000 binary64) #s(literal -2003561459544073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(+.f64 x #s(literal -27061/99229 binary64))
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))
(+.f64 x (-.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(* x (- (+ 1 (* 2019128943700000/977047873985989 (/ 1 (pow x 3)))) (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2)))))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(+.f64 x #s(literal -27061/99229 binary64))
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))
(+.f64 x (-.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- 20191289437/9846394441 (* 2019128943700000/977047873985989 (/ 1 x))) x)) 27061/99229) x)) 1)))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x)))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 2003561459544073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 2003561459544073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 2003561459544073/1000000000000000 (* -198811400069098819717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -198811400069098819717/100000000000000000000 binary64) #s(literal 2003561459544073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(- (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x))
(- (+ 27061/99229 (+ (* 20191289437/9846394441 (/ 1 x)) (* 201912894370000000000/96951483487755702481 (/ 1 (pow x 3))))) (/ 2019128943700000/977047873985989 (pow x 2)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
27061/99229
#s(literal 27061/99229 binary64)
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(+ 27061/99229 (* -1 (/ (- (* 2019128943700000/977047873985989 (/ 1 x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 #s(literal -2019128943700000/977047873985989 binary64) x)) x))
(+ 27061/99229 (* -1 (/ (- (* -1 (/ (- (* 201912894370000000000/96951483487755702481 (/ 1 x)) 2019128943700000/977047873985989) x)) 20191289437/9846394441) x)))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 (+.f64 #s(literal 20191289437/9846394441 binary64) (/.f64 (+.f64 (/.f64 #s(literal 201912894370000000000/96951483487755702481 binary64) x) #s(literal -2019128943700000/977047873985989 binary64)) x)) x))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(* x (+ 99229/100000 (/ 1 x)))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* 30191289437/10000000000 x)
(*.f64 #s(literal 30191289437/10000000000 binary64) x)
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000)))
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -20191289437/10000000000 x)
(*.f64 x #s(literal -20191289437/10000000000 binary64))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* 30191289437/10000000000 x) 230753/100000)
(fma.f64 #s(literal 30191289437/10000000000 binary64) x #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(- (* x (+ 30191289437/10000000000 (* -1900161040244073/1000000000000000 x))) 230753/100000)
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* -1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000))
(*.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000) x)) 1900161040244073/1000000000000000))
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* 1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 20191289437/10000000000 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* 1900161040244073/1000000000000000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 20191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(* x (- 1900161040244073/1000000000000000 (* 20191289437/10000000000 (/ 1 x))))
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(* 1900161040244073/1000000000000000 x)
(*.f64 x #s(literal 1900161040244073/1000000000000000 binary64))
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(* -1 (* x (- (* 20191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64))
(/ 1651231776/20079361 (pow x 2))
(/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x x))
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))
(/.f64 (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal -27061/4481 binary64)) #s(literal 1651231776/20079361 binary64)) (*.f64 x x))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))
(* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))
x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -27061/4481 binary64) x))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(+.f64 x (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))
(/ -1651231776/20079361 (pow x 2))
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)

eval71.0ms (0.9%)

Memory
11.3MiB live, 120.8MiB allocated
Compiler

Compiled 12 187 to 1 497 computations (87.7% saved)

prune62.0ms (0.8%)

Memory
-6.8MiB live, 156.3MiB allocated
Pruning

19 alts after pruning (10 fresh and 9 done)

PrunedKeptTotal
New5555560
Fresh055
Picked145
Done055
Total55619575
Accuracy
100.0%
Counts
575 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
54.5%
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
60.7%
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
55.8%
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
54.5%
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
60.8%
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
76.5%
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))))
46.4%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
100.0%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
98.1%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
47.8%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
47.3%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))))
47.6%
(-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
47.7%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
47.3%
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
97.2%
(-.f64 x #s(literal 230753/100000 binary64))
54.2%
(-.f64 x #s(literal 27061/99229 binary64))
48.0%
x
53.4%
#s(literal -230753/100000 binary64)
Compiler

Compiled 280 to 202 computations (27.9% saved)

simplify282.0ms (3.5%)

Memory
-11.6MiB live, 355.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
cost-diff0
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
cost-diff0
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(literal 27061/100000 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))
cost-diff128
(-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 20191289437/9846394441 binary64) x)
cost-diff0
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
cost-diff0
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
cost-diff0
(-.f64 x #s(literal 27061/99229 binary64))
cost-diff0
(-.f64 x #s(literal 230753/100000 binary64))
Rules
9 224×accelerator-lowering-fma.f32
9 224×accelerator-lowering-fma.f64
2 378×*-lowering-*.f32
2 378×*-lowering-*.f64
1 672×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491
14991
28891
317391
431491
553791
686587
7187487
8324987
9417187
10485987
11549287
12630087
13717387
14760687
0819682
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- x 230753/100000)
x
230753/100000
(- x 27061/99229)
x
27061/99229
(- x (+ 27061/99229 (/ 20191289437/9846394441 x)))
x
(+ 27061/99229 (/ 20191289437/9846394441 x))
27061/99229
(/ 20191289437/9846394441 x)
20191289437/9846394441
(- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1)))
x
(/ (* x 27061/100000) (+ (* x 99229/100000) 1))
(* x 27061/100000)
27061/100000
(+ (* x 99229/100000) 1)
99229/100000
1
(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))
x
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
(+ (* x 27061/4481) -1651231776/20079361)
27061/4481
-1651231776/20079361
(* x x)
Outputs
(- x 230753/100000)
(+.f64 x #s(literal -230753/100000 binary64))
x
230753/100000
#s(literal 230753/100000 binary64)
(- x 27061/99229)
(+.f64 x #s(literal -27061/99229 binary64))
x
27061/99229
#s(literal 27061/99229 binary64)
(- x (+ 27061/99229 (/ 20191289437/9846394441 x)))
(+.f64 x (+.f64 #s(literal -27061/99229 binary64) (/.f64 #s(literal -20191289437/9846394441 binary64) x)))
x
(+ 27061/99229 (/ 20191289437/9846394441 x))
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
27061/99229
#s(literal 27061/99229 binary64)
(/ 20191289437/9846394441 x)
(/.f64 #s(literal 20191289437/9846394441 binary64) x)
20191289437/9846394441
#s(literal 20191289437/9846394441 binary64)
(- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1)))
(fma.f64 x (/.f64 #s(literal 27061/100000 binary64) (fma.f64 x #s(literal -99229/100000 binary64) #s(literal -1 binary64))) x)
x
(/ (* x 27061/100000) (+ (* x 99229/100000) 1))
(/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
27061/100000
#s(literal 27061/100000 binary64)
(+ (* x 99229/100000) 1)
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
99229/100000
#s(literal 99229/100000 binary64)
1
#s(literal 1 binary64)
(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))
(+.f64 x (/.f64 (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (*.f64 x x)))
x
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(+ (* x 27061/4481) -1651231776/20079361)
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
27061/4481
#s(literal 27061/4481 binary64)
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)
(* x x)
(*.f64 x x)

localize86.0ms (1.1%)

Memory
29.3MiB live, 104.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
accuracy99.7%
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
accuracy78.6%
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
accuracy100.0%
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
accuracy99.9%
(/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64)))
accuracy99.8%
(-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
accuracy99.4%
(*.f64 x #s(literal 27061/100000 binary64))
accuracy100.0%
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
accuracy100.0%
(+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x))
accuracy99.8%
(/.f64 #s(literal 20191289437/9846394441 binary64) x)
accuracy100.0%
(-.f64 x #s(literal 27061/99229 binary64))
accuracy100.0%
(-.f64 x #s(literal 230753/100000 binary64))
Samples
63.0ms256×0valid
Compiler

Compiled 87 to 26 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
const: 20.0ms (47.5% of total)
ival-mult: 8.0ms (19% of total)
ival-sub: 6.0ms (14.2% of total)
ival-div: 5.0ms (11.9% of total)
ival-add: 3.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-25.2MiB live, 12.0MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (- x 230753/100000)>
#<alt (- x 27061/99229)>
#<alt (- x (+ 27061/99229 (/ 20191289437/9846394441 x)))>
#<alt (+ 27061/99229 (/ 20191289437/9846394441 x))>
#<alt (/ 20191289437/9846394441 x)>
#<alt (- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1)))>
#<alt (/ (* x 27061/100000) (+ (* x 99229/100000) 1))>
#<alt (* x 27061/100000)>
#<alt (+ (* x 99229/100000) 1)>
#<alt (- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))>
#<alt (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))>
#<alt (+ (* x 27061/4481) -1651231776/20079361)>
#<alt (* x x)>
Outputs
#<alt -230753/100000>
#<alt (- x 230753/100000)>
#<alt (- x 230753/100000)>
#<alt (- x 230753/100000)>
#<alt x>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt (* x (- 1 (* 230753/100000 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))>
#<alt -27061/99229>
#<alt (- x 27061/99229)>
#<alt (- x 27061/99229)>
#<alt (- x 27061/99229)>
#<alt x>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (/ -20191289437/9846394441 x)>
#<alt (/ (- (* -27061/99229 x) 20191289437/9846394441) x)>
#<alt (/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x)>
#<alt (/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x)>
#<alt x>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))>
#<alt (* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)>
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)>
#<alt (/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt 27061/99229>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (/ 20191289437/9846394441 x)>
#<alt (* 72939/100000 x)>
#<alt (* x (+ 72939/100000 (* 2685235969/10000000000 x)))>
#<alt (* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* -266453279967901/1000000000000000 x)))))>
#<alt (* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* x (- (* 26439892517934848329/100000000000000000000 x) 266453279967901/1000000000000000))))))>
#<alt x>
#<alt (* x (- 1 (* 27061/99229 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (* 27061/99229 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (+ (* 27061/99229 (/ 1 x)) (* 270610000000000/977047873985989 (/ 1 (pow x 3))))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 2706100000/9846394441 (/ 1 x)) 27061/99229) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 270610000000000/977047873985989 (/ 1 x)) 2706100000/9846394441) x)) 27061/99229) x)) 1)))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* -2685235969/10000000000 x)))>
#<alt (* x (+ 27061/100000 (* x (- (* 266453279967901/1000000000000000 x) 2685235969/10000000000))))>
#<alt (* x (+ 27061/100000 (* x (- (* x (+ 266453279967901/1000000000000000 (* -26439892517934848329/100000000000000000000 x))) 2685235969/10000000000))))>
#<alt 27061/99229>
#<alt (- 27061/99229 (* 2706100000/9846394441 (/ 1 x)))>
#<alt (- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (* 2706100000/9846394441 (/ 1 x)))>
#<alt (- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (+ (* 2706100000/9846394441 (/ 1 x)) (* 27061000000000000000/96951483487755702481 (/ 1 (pow x 3)))))>
#<alt 27061/99229>
#<alt (- 27061/99229 (* 2706100000/9846394441 (/ 1 x)))>
#<alt (+ 27061/99229 (* -1 (/ (- 2706100000/9846394441 (* 270610000000000/977047873985989 (/ 1 x))) x)))>
#<alt (+ 27061/99229 (* -1 (/ (+ 2706100000/9846394441 (* -1 (/ (- 270610000000000/977047873985989 (* 27061000000000000000/96951483487755702481 (/ 1 x))) x))) 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 1>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* 99229/100000 x)>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (* x (+ 99229/100000 (/ 1 x)))>
#<alt (/ 1651231776/20079361 (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))>
#<alt (/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))>
#<alt x>
#<alt (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<alt (* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))>
#<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>
#<alt (- (* 27061/4481 x) 1651231776/20079361)>
#<alt (- (* 27061/4481 x) 1651231776/20079361)>
#<alt (- (* 27061/4481 x) 1651231776/20079361)>
#<alt (* 27061/4481 x)>
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))>
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))>
#<alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))>
#<alt (* 27061/4481 x)>
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))>
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))>
#<alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/ (* x 27061/100000) (+ (* x 99229/100000) 1))
2.0ms
x
@0
(- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1)))
0.0ms
x
@-inf
(/ (* x 27061/100000) (+ (* x 99229/100000) 1))
0.0ms
x
@0
(- x (+ 27061/99229 (/ 20191289437/9846394441 x)))
0.0ms
x
@0
(/ 20191289437/9846394441 x)

rewrite351.0ms (4.3%)

Memory
34.4MiB live, 466.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 794×/-lowering-/.f32
4 794×/-lowering-/.f64
4 542×accelerator-lowering-fma.f32
4 542×accelerator-lowering-fma.f64
4 538×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02477
116577
2148877
0875370
Stop Event
iter limit
node limit
Counts
13 → 449
Calls
Call 1
Inputs
(- x 230753/100000)
(- x 27061/99229)
(- x (+ 27061/99229 (/ 20191289437/9846394441 x)))
(+ 27061/99229 (/ 20191289437/9846394441 x))
(/ 20191289437/9846394441 x)
(- x (/ (* x 27061/100000) (+ (* x 99229/100000) 1)))
(/ (* x 27061/100000) (+ (* x 99229/100000) 1))
(* x 27061/100000)
(+ (* x 99229/100000) 1)
(- x (/ (+ (* x 27061/4481) -1651231776/20079361) (* x x)))
(/ (+ (* x 27061/4481) -1651231776/20079361) (* x x))
(+ (* x 27061/4481) -1651231776/20079361)
(* x x)
Outputs
(+.f64 x #s(literal -230753/100000 binary64))
(+.f64 #s(literal -230753/100000 binary64) x)
(-.f64 x #s(literal 230753/100000 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64)))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 x #s(literal 230753/100000 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64))))) (/.f64 #s(literal 12286892763167777/1000000000000000 binary64) (fma.f64 x x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (-.f64 x #s(literal -230753/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))) (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 230753/100000 binary64)) (fma.f64 x x #s(literal -53246947009/10000000000 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64)) (fma.f64 x x (fma.f64 x #s(literal 230753/100000 binary64) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -12286892763167777/1000000000000000 binary64)) (fma.f64 x x (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x #s(literal -230753/100000 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x x)))
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(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) x) (/.f64 #s(literal 1 binary64) x))
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(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64)))) x))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) x))
(+.f64 (*.f64 x #s(literal 27061/4481 binary64)) #s(literal -1651231776/20079361 binary64))
(+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(-.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (-.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64)))))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(fma.f64 #s(literal 27061/4481 binary64) x #s(literal -1651231776/20079361 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (neg.f64 (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) (neg.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(/.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))) (-.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) #s(literal 2726566378072114176/403180738168321 binary64))) (*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)))) (neg.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (fma.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)) (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/89975616641 binary64) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal 2726566378072114176/403180738168321 binary64)) (*.f64 x #s(literal -44683983090336/89975616641 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify299.0ms (3.7%)

Memory
10.7MiB live, 401.4MiB allocated
Algorithm
egg-herbie
Rules
9 684×accelerator-lowering-fma.f32
9 684×accelerator-lowering-fma.f64
3 276×*-lowering-*.f32
3 276×*-lowering-*.f64
2 788×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0183824
1509806
21187756
33334718
47819718
08236681
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
-230753/100000
(- x 230753/100000)
(- x 230753/100000)
(- x 230753/100000)
x
(* x (- 1 (* 230753/100000 (/ 1 x))))
(* x (- 1 (* 230753/100000 (/ 1 x))))
(* x (- 1 (* 230753/100000 (/ 1 x))))
x
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
(* -1 (* x (- (* 230753/100000 (/ 1 x)) 1)))
-27061/99229
(- x 27061/99229)
(- x 27061/99229)
(- x 27061/99229)
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(* x (- 1 (* 27061/99229 (/ 1 x))))
(* x (- 1 (* 27061/99229 (/ 1 x))))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(/ -20191289437/9846394441 x)
(/ (- (* -27061/99229 x) 20191289437/9846394441) x)
(/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x)
(/ (- (* x (- x 27061/99229)) 20191289437/9846394441) x)
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))
(* x (+ 1 (* -1 (/ (+ 27061/99229 (* 20191289437/9846394441 (/ 1 x))) x))))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))
(* -1 (* x (- (+ (* 27061/99229 (/ 1 x)) (/ 20191289437/9846394441 (pow x 2))) 1)))
(/ 20191289437/9846394441 x)
(/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)
(/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)
(/ (+ 20191289437/9846394441 (* 27061/99229 x)) x)
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
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(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
27061/99229
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(+ 27061/99229 (* 20191289437/9846394441 (/ 1 x)))
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(/ 20191289437/9846394441 x)
(* 72939/100000 x)
(* x (+ 72939/100000 (* 2685235969/10000000000 x)))
(* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* -266453279967901/1000000000000000 x)))))
(* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* x (- (* 26439892517934848329/100000000000000000000 x) 266453279967901/1000000000000000))))))
x
(* x (- 1 (* 27061/99229 (/ 1 x))))
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(* x (- (+ 1 (/ 2706100000/9846394441 (pow x 2))) (+ (* 27061/99229 (/ 1 x)) (* 270610000000000/977047873985989 (/ 1 (pow x 3))))))
x
(* -1 (* x (- (* 27061/99229 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2706100000/9846394441 (/ 1 x)) 27061/99229) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 270610000000000/977047873985989 (/ 1 x)) 2706100000/9846394441) x)) 27061/99229) x)) 1)))
(* 27061/100000 x)
(* x (+ 27061/100000 (* -2685235969/10000000000 x)))
(* x (+ 27061/100000 (* x (- (* 266453279967901/1000000000000000 x) 2685235969/10000000000))))
(* x (+ 27061/100000 (* x (- (* x (+ 266453279967901/1000000000000000 (* -26439892517934848329/100000000000000000000 x))) 2685235969/10000000000))))
27061/99229
(- 27061/99229 (* 2706100000/9846394441 (/ 1 x)))
(- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (* 2706100000/9846394441 (/ 1 x)))
(- (+ 27061/99229 (/ 270610000000000/977047873985989 (pow x 2))) (+ (* 2706100000/9846394441 (/ 1 x)) (* 27061000000000000000/96951483487755702481 (/ 1 (pow x 3)))))
27061/99229
(- 27061/99229 (* 2706100000/9846394441 (/ 1 x)))
(+ 27061/99229 (* -1 (/ (- 2706100000/9846394441 (* 270610000000000/977047873985989 (/ 1 x))) x)))
(+ 27061/99229 (* -1 (/ (+ 2706100000/9846394441 (* -1 (/ (- 270610000000000/977047873985989 (* 27061000000000000000/96951483487755702481 (/ 1 x))) x))) 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)
1
(+ 1 (* 99229/100000 x))
(+ 1 (* 99229/100000 x))
(+ 1 (* 99229/100000 x))
(* 99229/100000 x)
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* 99229/100000 x)
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(* x (+ 99229/100000 (/ 1 x)))
(/ 1651231776/20079361 (pow x 2))
(/ (+ 1651231776/20079361 (* -27061/4481 x)) (pow x 2))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
(/ (+ 1651231776/20079361 (* x (- (pow x 2) 27061/4481))) (pow x 2))
x
(* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))
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x
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(* -1 (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
-1651231776/20079361
(- (* 27061/4481 x) 1651231776/20079361)
(- (* 27061/4481 x) 1651231776/20079361)
(- (* 27061/4481 x) 1651231776/20079361)
(* 27061/4481 x)
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
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(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
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(- x 230753/100000)
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27061/99229
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(/ 20191289437/9846394441 x)
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(* x (+ 72939/100000 (* x (+ 2685235969/10000000000 (* -266453279967901/1000000000000000 x)))))
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(* 27061/100000 x)
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27061/99229
#s(literal 27061/99229 binary64)
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(* 27061/100000 x)
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(* 27061/100000 x)
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(* 27061/100000 x)
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(* 27061/100000 x)
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(* 27061/100000 x)
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(* 27061/100000 x)
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(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
1
#s(literal 1 binary64)
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(* 99229/100000 x)
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(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval129.0ms (1.6%)

Memory
-27.8MiB live, 168.5MiB allocated
Compiler

Compiled 13 252 to 1 615 computations (87.8% saved)

prune69.0ms (0.8%)

Memory
15.4MiB live, 138.5MiB allocated
Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New6032605
Fresh145
Picked235
Done189
Total60717624
Accuracy
100.0%
Counts
624 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.8%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
54.5%
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
60.7%
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
55.8%
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
54.5%
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
60.8%
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
76.5%
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))))
46.4%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
100.0%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
47.8%
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
47.7%
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
47.7%
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))
47.3%
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x)))
97.2%
(-.f64 x #s(literal 230753/100000 binary64))
54.2%
(-.f64 x #s(literal 27061/99229 binary64))
48.0%
x
53.4%
#s(literal -230753/100000 binary64)
Compiler

Compiled 379 to 201 computations (47% saved)

regimes15.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x)))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
(-.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64) #s(literal -53246947009/10000000000 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))))
(-.f64 x (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
Outputs
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
x
7.0ms
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes111.0ms (1.4%)

Memory
-17.0MiB live, 21.3MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x)))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
Outputs
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
Calls

2 calls:

104.0ms
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
6.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
98.1%1(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes11.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
(-.f64 x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 30191289437/10000000000 binary64) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1900161040244073/1000000000000000 binary64) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (/.f64 #s(literal 20191289437/9846394441 binary64) x))
(-.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(-.f64 x (fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal -2706100000/9846394441 binary64) x)))
(-.f64 x (+.f64 #s(literal 27061/99229 binary64) (/.f64 #s(literal 20191289437/9846394441 binary64) x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 179503363065659419717/100000000000000000000 binary64) #s(literal -1900161040244073/1000000000000000 binary64)) #s(literal 30191289437/10000000000 binary64)) #s(literal -230753/100000 binary64))
(-.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64)))
(-.f64 x (/.f64 (*.f64 x #s(literal 27061/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 x #s(literal 99229/100000 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
Outputs
(-.f64 x #s(literal 230753/100000 binary64))
Calls

2 calls:

5.0ms
x
5.0ms
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes9.0ms (0.1%)

Memory
-26.9MiB live, 10.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -230753/100000 binary64)
x
(-.f64 x #s(literal 27061/99229 binary64))
Outputs
x
#s(literal -230753/100000 binary64)
x
Calls

2 calls:

7.0ms
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
2.0ms
x
Results
AccuracySegmentsBranch
97.6%3x
97.6%3(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes3.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
1.0ms
x
Results
AccuracySegmentsBranch
53.4%1x
53.4%1(-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x))))
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.3075278951035476
21.47673601900671
0.0ms
-3.8521218398760655
-2.3546149135382297
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify17.0ms (0.2%)

Memory
-8.9MiB live, 30.1MiB allocated
Algorithm
egg-herbie
Rules
104×unsub-neg_binary64
94×neg-mul-1_binary64
60×*-commutative_binary64
52×+-commutative_binary64
46×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03072
15072
27472
39972
413472
515972
623172
734272
836572
937572
1037672
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x #s(literal 230753/100000 binary64))
(if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -3 binary64)) x (if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -2 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)
Outputs
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))))
(-.f64 x #s(literal 230753/100000 binary64))
(if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -3 binary64)) x (if (<=.f64 (-.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) x)))) #s(literal -2 binary64)) #s(literal -230753/100000 binary64) x))
(if (<=.f64 (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) #s(literal -3 binary64)) x (if (<=.f64 (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) #s(literal -2 binary64)) #s(literal -230753/100000 binary64) x))
#s(literal -230753/100000 binary64)

soundness524.0ms (6.4%)

Memory
16.3MiB live, 464.9MiB allocated
Rules
9 758×accelerator-lowering-fma.f32
9 758×accelerator-lowering-fma.f64
9 368×accelerator-lowering-fma.f32
9 368×accelerator-lowering-fma.f64
6 906×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464
18464
273064
0840853
02021010
1594980
21683956
35077954
08190852
0128590
1360582
2869556
32171520
46808520
08193466
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 125 to 70 computations (44% saved)

preprocess51.0ms (0.6%)

Memory
-5.8MiB live, 109.7MiB allocated
Compiler

Compiled 182 to 90 computations (50.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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