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

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze5.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.6s (24%)

Memory
37.9MiB live, 2 566.6MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
const: 553.0ms (54.2% of total)
ival-add: 175.0ms (17.1% of total)
ival-mult: 170.0ms (16.6% of total)
ival-sub: 58.0ms (5.7% of total)
ival-div: 49.0ms (4.8% of total)
ival-true: 7.0ms (0.7% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain194.0ms (2.9%)

Memory
-37.3MiB live, 415.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
810-0-(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
00-0-(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
00-0-(*.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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
00-0-(*.f64 x #s(literal 27061/100000 binary64))
00-0-(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
00-0-(*.f64 x (+.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
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
79.0ms512×0valid
Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
const: 33.0ms (56.4% of total)
ival-mult: 11.0ms (18.8% of total)
ival-add: 7.0ms (12% of total)
ival-div: 3.0ms (5.1% of total)
ival-sub: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess131.0ms (2%)

Memory
20.5MiB live, 100.0MiB allocated
Algorithm
1×egg-herbie
Rules
1 400×lower-fma.f64
1 400×lower-fma.f32
584×lower-*.f32
578×lower-*.f64
480×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
14335
213835
337434
468434
5105334
6171234
7219934
8230734
9234834
10235134
11235134
01417
02217
13817
25917
37117
47917
59817
615617
731417
878617
9149617
10275817
11323217
12334817
13339317
14340117
15340117
0340114
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Outputs
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

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

Compiled 17 to 14 computations (17.6% saved)

simplify71.0ms (1.1%)

Memory
-2.4MiB live, 36.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
cost-diff128
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
cost-diff128
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
Rules
1 400×lower-fma.f64
1 400×lower-fma.f32
584×lower-*.f32
578×lower-*.f64
480×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01470
02270
13870
25970
37170
47970
59870
615670
731470
878670
9149670
10275870
11323270
12334870
13339370
14340170
15340170
0340159
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
#s(literal 230753/100000 binary64)
(*.f64 x #s(literal 27061/100000 binary64))
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 1 binary64)
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
#s(literal 99229/100000 binary64)
(*.f64 x #s(literal 4481/100000 binary64))
#s(literal 4481/100000 binary64)
Outputs
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 #s(literal 27061/100000 binary64) x)
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)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 99229/100000 binary64)
(*.f64 x #s(literal 4481/100000 binary64))
(*.f64 #s(literal 4481/100000 binary64) x)
#s(literal 4481/100000 binary64)

localize47.0ms (0.7%)

Memory
-12.1MiB live, 64.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
accuracy0.37109375
(*.f64 x #s(literal 4481/100000 binary64))
accuracy0.3984375
(*.f64 x #s(literal 27061/100000 binary64))
accuracy18.968018087793237
(/.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))))))
Samples
36.0ms256×0valid
Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
const: 12.0ms (50.8% of total)
ival-mult: 5.0ms (21.2% of total)
ival-add: 3.0ms (12.7% of total)
ival-div: 1.0ms (4.2% of total)
ival-sub: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.0MiB live, 12.9MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) (patch (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #<representation binary64>) () ())
#s(alt (/.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)))))) (patch (/.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)))))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt 230753/100000 (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (patch (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (patch (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) #<representation binary64>) () ())) ())
#s(alt 99229/100000 (taylor 0 x) (#s(alt (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (patch (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) (patch (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) (patch (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) (patch (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) (patch (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) (patch (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) (patch (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.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)))))) (patch (/.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)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.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)))))) (patch (/.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)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.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)))))) (patch (/.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)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.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)))))) (patch (/.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)))))) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 27061/100000 binary64)) (patch (*.f64 x #s(literal 27061/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 4481/100000 binary64)) (patch (*.f64 x #s(literal 4481/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (patch (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 99229/100000 (* x 4481/100000)) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (* x 27061/100000) (* x 4481/100000) (* x (+ 99229/100000 (* x 4481/100000))))
2.0ms
x
@-inf
((+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 99229/100000 (* x 4481/100000)) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (* x 27061/100000) (* x 4481/100000) (* x (+ 99229/100000 (* x 4481/100000))))
1.0ms
x
@0
((+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 99229/100000 (* x 4481/100000)) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (* x 27061/100000) (* x 4481/100000) (* x (+ 99229/100000 (* x 4481/100000))))

simplify136.0ms (2.1%)

Memory
-3.4MiB live, 136.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 760×lower-fma.f64
10 760×lower-fma.f32
3 992×lower-*.f64
3 992×lower-*.f32
1 442×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122570
1337562
2798558
31945522
46965522
08171468
Stop Event
1×iter limit
1×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))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
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)))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(/ 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)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 (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))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 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))))
Outputs
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))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #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 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 99229/100000 x)
(*.f64 #s(literal 99229/100000 binary64) x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* 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))
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* 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))
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)

rewrite195.0ms (3%)

Memory
-27.3MiB live, 246.5MiB allocated
Rules
7 866×lower-fma.f64
7 866×lower-fma.f32
5 638×lower-*.f32
5 632×lower-*.f64
3 966×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464
02264
19864
280764
0838253
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 493
Calls
Call 1
Inputs
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 x #s(literal 4481/100000 binary64))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
Outputs
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eval75.0ms (1.1%)

Memory
16.2MiB live, 134.1MiB allocated
Compiler

Compiled 16 880 to 2 063 computations (87.8% saved)

prune16.0ms (0.2%)

Memory
5.1MiB live, 44.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New57910589
Fresh000
Picked101
Done000
Total58010590
Accuracy
100.0%
Counts
590 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
67.7%
(fma.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) (neg.f64 x))
100.0%
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
56.5%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
▶98.1%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
▶48.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
▶46.3%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
54.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
56.8%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
▶45.1%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Compiler

Compiled 188 to 156 computations (17% saved)

simplify183.0ms (2.8%)

Memory
-4.2MiB live, 72.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
cost-diff0
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
cost-diff0
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
cost-diff0
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
cost-diff0
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64))
cost-diff0
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
cost-diff0
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
cost-diff320
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
Rules
4 008×lower-fma.f32
3 990×lower-fma.f64
1 256×lower-*.f64
1 256×lower-*.f32
1 144×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036201
057191
195191
2154190
3331190
4534190
5799190
61346190
72406190
83224190
94069190
104461190
114544190
124577190
134592190
144601190
154605190
164613190
04613184
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
#s(literal -27061/100000 binary64)
x
#s(literal -230753/100000 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
(neg.f64 x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
x
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64))
#s(literal 1900161040244073/1000000000000000 binary64)
x
#s(literal -30191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64))
(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64))
#s(literal -179503363065659419717/100000000000000000000 binary64)
x
#s(literal 1900161040244073/1000000000000000 binary64)
#s(literal -30191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)
Outputs
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64))
#s(literal -27061/100000 binary64)
x
#s(literal -230753/100000 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
(neg.f64 x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
x
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64))
#s(literal 1900161040244073/1000000000000000 binary64)
x
#s(literal -30191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64))
(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64))
#s(literal -179503363065659419717/100000000000000000000 binary64)
x
#s(literal 1900161040244073/1000000000000000 binary64)
#s(literal -30191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)

localize122.0ms (1.9%)

Memory
17.2MiB live, 172.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64))
accuracy0.09375
(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64))
accuracy33.2827684236213
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
accuracy0.0625
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
accuracy0.08203125
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64))
accuracy34.34416496748178
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
accuracy0.01953125
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
accuracy34.755574427033324
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64))
accuracy35.11226414014771
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
accuracy0.1953125
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy0.23046875
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
accuracy0.9998506734627342
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
Samples
87.0ms256×0valid
Compiler

Compiled 197 to 42 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
const: 28.0ms (40.9% of total)
ival-mult: 18.0ms (26.3% of total)
ival-add: 17.0ms (24.9% of total)
ival-div: 3.0ms (4.4% of total)
ival-sub: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-19.9MiB live, 24.4MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) (patch (-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) (patch (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) (patch (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) (patch (fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt -230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -27061/100000 x) 230753/100000) (taylor 0 x) (#s(alt (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (patch (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (neg x)) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) x) 230753/100000) (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) (+ (* 4481/100000 x) 99229/100000))
2.0ms
x
@-inf
((+ (* (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (neg x)) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) x) 230753/100000) (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) (+ (* 4481/100000 x) 99229/100000))
1.0ms
x
@0
((+ (* (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (neg x)) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) x) 230753/100000) (+ (* 1900161040244073/1000000000000000 x) -30191289437/10000000000) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) x) 230753/100000) (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) (+ (* 4481/100000 x) 99229/100000))

simplify161.0ms (2.4%)

Memory
27.9MiB live, 186.1MiB allocated
Algorithm
1×egg-herbie
Rules
11 390×lower-fma.f64
11 390×lower-fma.f32
3 774×lower-*.f64
3 774×lower-*.f32
2 944×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02241473
16481459
217901409
348551396
085681255
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
-230753/100000
(- (* -27061/100000 x) 230753/100000)
(- (* -27061/100000 x) 230753/100000)
(- (* -27061/100000 x) 230753/100000)
-1
(- (* 99229/100000 x) 1)
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
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)))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
-30191289437/10000000000
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
-30191289437/10000000000
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)
1900161040244073/1000000000000000
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
(+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -27061/100000 x)
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/ (- (+ (* 9922900000/20079361 (/ 1 x)) (* 88811884418598900000/403180738168321 (/ 1 (pow x 3)))) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (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)))))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(/ 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)
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* 1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1900161040244073/1000000000000000 (/ 230753/100000 (pow x 2))) (* 30191289437/10000000000 (/ 1 x))))
(* 1900161040244073/1000000000000000 x)
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* x (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 x)
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* x (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -27061/100000 x)
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (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)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(/ 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))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* 1900161040244073/1000000000000000 (pow x 2))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(* 1900161040244073/1000000000000000 x)
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(* -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)))))
(* 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)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
-230753/100000
#s(literal -230753/100000 binary64)
(- (* -27061/100000 x) 230753/100000)
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(- (* -27061/100000 x) 230753/100000)
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(- (* -27061/100000 x) 230753/100000)
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
-1
#s(literal -1 binary64)
(- (* 99229/100000 x) 1)
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 888118844185989/1000000000000000 binary64) x #s(literal -9398294441/10000000000 binary64)) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
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(* -27061/100000 x)
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(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
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(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(/ -100000/4481 (pow x 2))
(/.f64 #s(literal -100000/4481 binary64) (*.f64 x x))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
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(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 #s(literal -9922900000/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 88811884418598900000/403180738168321 binary64) x) #s(literal 939829444100000/89975616641 binary64)) x)) x)) (*.f64 x x))
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
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(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
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(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #s(literal -27061/4481 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(* 1900161040244073/1000000000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1900161040244073/1000000000000000 binary64))
(* (pow x 2) (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x)
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 230753/100000 binary64) x) x) #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x)
(* (pow x 2) (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))))
(*.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 230753/100000 binary64) x) x) #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x)
(* 1900161040244073/1000000000000000 x)
(*.f64 #s(literal 1900161040244073/1000000000000000 binary64) x)
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64))
(* -1 (* x (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000)))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64))
(* -1 x)
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(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
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(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
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(*.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64))
(* -179503363065659419717/100000000000000000000 x)
(*.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x)
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64))
(* -1 (* x (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))

rewrite280.0ms (4.2%)

Memory
-20.4MiB live, 210.3MiB allocated
Rules
5 916×lower-fma.f32
5 898×lower-fma.f64
4 670×lower-/.f32
4 668×lower-/.f64
4 640×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036180
057170
1288169
22263169
09399164
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 449
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64))
(fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
Outputs
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eval117.0ms (1.8%)

Memory
26.5MiB live, 149.2MiB allocated
Compiler

Compiled 16 847 to 1 950 computations (88.4% saved)

prune22.0ms (0.3%)

Memory
-16.4MiB live, 56.8MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New6263629
Fresh235
Picked145
Done000
Total62910639
Accuracy
100.0%
Counts
639 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶44.8%
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
60.2%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
▶100.0%
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
▶56.5%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
✓98.1%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
✓48.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
✓46.3%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
▶54.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
▶56.8%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
✓45.1%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify192.0ms (2.9%)

Memory
-8.6MiB live, 79.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
cost-diff0
#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
cost-diff0
(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff0
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x))
cost-diff0
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
cost-diff0
#s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
cost-diff0
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
Rules
3 368×lower-fma.f32
3 352×lower-fma.f64
1 368×lower-*.f64
1 368×lower-*.f32
728×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049239
069227
1107227
2160227
3283227
4401227
5602227
61086227
71696227
82754227
93709227
104285227
114614227
124904227
134927227
144942227
154978227
164992227
174992227
185004227
05004221
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
x
#s(literal 230753/100000 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
#s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64))
#s(literal -30191289437/10000000000 binary64)
x
#s(literal 230753/100000 binary64)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)
x
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
#s(literal -27061/100000 binary64)
x
#s(literal -230753/100000 binary64)
#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
#s(literal -9398294441/10000000000 binary64)
#s(literal 99229/100000 binary64)
#s(literal -1 binary64)
(neg.f64 x)
Outputs
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
#s(literal 27061/100000 binary64)
x
#s(literal 230753/100000 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
#s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64))
#s(literal -30191289437/10000000000 binary64)
x
#s(literal 230753/100000 binary64)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)
x
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
(fma.f64 #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (neg.f64 x))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
#s(literal -27061/100000 binary64)
x
#s(literal -230753/100000 binary64)
#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
#s(literal -9398294441/10000000000 binary64)
#s(literal 99229/100000 binary64)
#s(literal -1 binary64)
(neg.f64 x)

localize259.0ms (3.9%)

Memory
20.1MiB live, 249.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
accuracy0.07421875
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
accuracy0.23046875
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
accuracy34.63352176454247
#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)))
accuracy0.01953125
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
accuracy0.28125
(/.f64 #s(literal 27061/4481 binary64) x)
accuracy28.232878268831215
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x))
accuracy0.04296875
(fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
accuracy33.2827684236213
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
accuracy34.711070545971474
#s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64))
accuracy0
(neg.f64 x)
accuracy27.66556056089947
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
accuracy0.06640625
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
accuracy0.1953125
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
accuracy0.23046875
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
accuracy18.968018087793237
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
Samples
228.0ms256×0valid
Compiler

Compiled 216 to 49 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 211.0ms
const: 148.0ms (70.3% of total)
ival-mult: 31.0ms (14.7% of total)
ival-add: 16.0ms (7.6% of total)
ival-neg: 7.0ms (3.3% of total)
ival-div: 6.0ms (2.8% of total)
ival-sub: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-17.3MiB live, 29.2MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) (patch #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) #<representation binary64>) () ())
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#s(alt #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) (patch (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* 27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 99229/100000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg x) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) x) 230753/100000) (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ 27061/4481 x) (+ (* (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (neg x)) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* (+ (* -9398294441/10000000000 x) 99229/100000) x) -1) (+ (* 4481/100000 x) 99229/100000) (+ (* -9398294441/10000000000 x) 99229/100000))
1.0ms
x
@-inf
((- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg x) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) x) 230753/100000) (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ 27061/4481 x) (+ (* (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (neg x)) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* (+ (* -9398294441/10000000000 x) 99229/100000) x) -1) (+ (* 4481/100000 x) 99229/100000) (+ (* -9398294441/10000000000 x) 99229/100000))
1.0ms
x
@0
((- (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) x) (/ (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* 27061/100000 x) 230753/100000) (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg x) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (+ (* (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) x) 230753/100000) (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ 27061/4481 x) (+ (* (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (neg x)) (+ (* -27061/100000 x) -230753/100000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* (+ (* -9398294441/10000000000 x) 99229/100000) x) -1) (+ (* 4481/100000 x) 99229/100000) (+ (* -9398294441/10000000000 x) 99229/100000))

simplify184.0ms (2.8%)

Memory
6.1MiB live, 208.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 272×lower-fma.f64
10 272×lower-fma.f32
3 746×lower-*.f64
3 746×lower-*.f32
2 896×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02281643
16581615
217891571
347871564
082161421
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
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)))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
-30191289437/10000000000
(- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)
(- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
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 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
-230753/100000
(- (* -27061/100000 x) 230753/100000)
(- (* -27061/100000 x) 230753/100000)
(- (* -27061/100000 x) 230753/100000)
-1
(- (* 99229/100000 x) 1)
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
-1
(- (* 99229/100000 x) 1)
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
99229/100000
(+ 99229/100000 (* -9398294441/10000000000 x))
(+ 99229/100000 (* -9398294441/10000000000 x))
(+ 99229/100000 (* -9398294441/10000000000 x))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(/ 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)
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 3) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* (pow x 3) (- (+ (* 1900161040244073/1000000000000000 (/ 1 x)) (* 230753/100000 (/ 1 (pow x 3)))) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) (+ 179503363065659419717/100000000000000000000 (/ 30191289437/10000000000 (pow x 2)))))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(/ 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)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -27061/100000 x)
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/ (- (+ (* 9922900000/20079361 (/ 1 x)) (* 88811884418598900000/403180738168321 (/ 1 (pow x 3)))) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(* -9398294441/10000000000 (pow x 2))
(* (pow x 2) (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(* (pow x 2) (- (* 99229/100000 (/ 1 x)) (+ 9398294441/10000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 99229/100000 (/ 1 x)) (+ 9398294441/10000000000 (/ 1 (pow x 2)))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* -9398294441/10000000000 x)
(* x (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(* x (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(* x (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
(* -179503363065659419717/100000000000000000000 (pow x 2))
(* (pow x 2) (- (* 1900161040244073/1000000000000000 (/ 1 x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -27061/100000 x)
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(* -9398294441/10000000000 (pow x 2))
(* (pow x 2) (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 99229/100000) x)) 9398294441/10000000000))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 99229/100000) x)) 9398294441/10000000000))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* -9398294441/10000000000 x)
(* -1 (* x (- 9398294441/10000000000 (* 99229/100000 (/ 1 x)))))
(* -1 (* x (- 9398294441/10000000000 (* 99229/100000 (/ 1 x)))))
(* -1 (* x (- 9398294441/10000000000 (* 99229/100000 (/ 1 x)))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #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 #s(literal -20191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -20191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
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))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
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(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* -9398294441/10000000000 x)
(*.f64 #s(literal -9398294441/10000000000 binary64) x)
(* x (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
(* x (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
(* x (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
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(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
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(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/ 27061/4481 x)
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(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
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(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
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(* 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))
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(* -1 x)
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(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
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(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(* -179503363065659419717/100000000000000000000 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -179503363065659419717/100000000000000000000 binary64))
(* -1 (* (pow x 3) (- 179503363065659419717/100000000000000000000 (* 1900161040244073/1000000000000000 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x) x)
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (- 1900161040244073/1000000000000000 (* 30191289437/10000000000 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) x)) x) #s(literal 179503363065659419717/100000000000000000000 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 179503363065659419717/100000000000000000000 (* -1 (/ (+ 1900161040244073/1000000000000000 (* -1 (/ (- 30191289437/10000000000 (* 230753/100000 (/ 1 x))) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1900161040244073/1000000000000000 binary64) (/.f64 (-.f64 #s(literal 30191289437/10000000000 binary64) (/.f64 #s(literal 230753/100000 binary64) x)) x)) x) #s(literal 179503363065659419717/100000000000000000000 binary64)) (pow.f64 x #s(literal 3 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 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(*.f64 x (fma.f64 (-.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) x #s(literal 1900161040244073/1000000000000000 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 30191289437/10000000000 (/ 1 x)) 1900161040244073/1000000000000000) x)) 179503363065659419717/100000000000000000000))
(*.f64 x (fma.f64 (-.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) (/.f64 #s(literal 30191289437/10000000000 binary64) (*.f64 x x))) x #s(literal 1900161040244073/1000000000000000 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal 151724043800704/89975616641 binary64)) x)) x) #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)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 27061/4481 binary64) x) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x) #s(literal -27061/4481 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(* -27061/100000 x)
(*.f64 #s(literal -27061/100000 binary64) x)
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(* -1 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
(/ -100000/4481 (pow x 2))
(/.f64 #s(literal -100000/4481 binary64) (*.f64 x x))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9922900000/20079361 binary64) x) #s(literal 100000/4481 binary64)) x) x)
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 939829444100000/89975616641 binary64) x) #s(literal 9922900000/20079361 binary64)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 #s(literal -9922900000/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 88811884418598900000/403180738168321 binary64) x) #s(literal 939829444100000/89975616641 binary64)) x)) x)) (*.f64 x x))
(* -9398294441/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9398294441/10000000000 binary64))
(* (pow x 2) (- (* 99229/100000 (/ 1 x)) 9398294441/10000000000))
(*.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 99229/100000) x)) 9398294441/10000000000))
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 99229/100000) x)) 9398294441/10000000000))
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(* 4481/100000 x)
(*.f64 #s(literal 4481/100000 binary64) x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(* -9398294441/10000000000 x)
(*.f64 #s(literal -9398294441/10000000000 binary64) x)
(* -1 (* x (- 9398294441/10000000000 (* 99229/100000 (/ 1 x)))))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
(* -1 (* x (- 9398294441/10000000000 (* 99229/100000 (/ 1 x)))))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
(* -1 (* x (- 9398294441/10000000000 (* 99229/100000 (/ 1 x)))))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))

rewrite289.0ms (4.4%)

Memory
-9.4MiB live, 270.5MiB allocated
Rules
5 454×lower-fma.f32
5 438×lower-fma.f64
4 336×lower-/.f32
4 332×lower-/.f64
4 250×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049219
069207
1342207
22374207
08897201
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 555
Calls
Call 1
Inputs
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
#s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64))
#s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64))
Outputs
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eval126.0ms (1.9%)

Memory
27.3MiB live, 254.3MiB allocated
Compiler

Compiled 20 831 to 2 265 computations (89.1% saved)

prune86.0ms (1.3%)

Memory
-38.5MiB live, 111.8MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New7950795
Fresh011
Picked055
Done044
Total79510805
Accuracy
100.0%
Counts
805 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓44.8%
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
▶60.2%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
✓100.0%
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
✓56.5%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
✓98.1%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
✓48.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
✓46.3%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
✓54.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
✓56.8%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
✓45.1%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Compiler

Compiled 108 to 83 computations (23.1% saved)

simplify301.0ms (4.6%)

Memory
9.1MiB live, 204.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff192
(+.f64 #s(literal 0 binary64) x)
cost-diff320
(*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
cost-diff448
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))
cost-diff1216
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
Rules
11 332×lower-fma.f32
11 322×lower-fma.f64
3 520×lower-*.f32
3 512×lower-*.f64
1 356×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023164
041149
187149
2253145
3710141
41543141
52660132
66546132
08095127
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
#s(literal 0 binary64)
(*.f64 x x)
x
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))
#s(literal -27061/100000 binary64)
#s(literal 230753/100000 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) x)
(*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
#s(literal 732297721/10000000000 binary64)
#s(literal -53246947009/10000000000 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))
Outputs
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) x (/.f64 (fma.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) x)
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) x)
#s(literal 0 binary64)
(*.f64 x x)
x
(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))
#s(literal -27061/100000 binary64)
#s(literal 230753/100000 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (fma.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)))
(+.f64 #s(literal 0 binary64) x)
x
(*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -732297721/10000000000 binary64) (*.f64 x x) #s(literal 53246947009/10000000000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64))
#s(literal 732297721/10000000000 binary64)
#s(literal -53246947009/10000000000 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))
(*.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64)) x)

localize80.0ms (1.2%)

Memory
1.4MiB live, 161.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.23046875
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))
accuracy0.9998506734627342
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
accuracy20.176761235724214
(*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
accuracy24.56522404505353
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
Samples
63.0ms256×0valid
Compiler

Compiled 191 to 30 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
const: 20.0ms (43.8% of total)
ival-mult: 14.0ms (30.6% of total)
ival-add: 7.0ms (15.3% of total)
ival-div: 3.0ms (6.6% 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
19.0MiB live, 19.0MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (patch (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 53246947009/10000000000 x) (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (patch (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 53246947009/10000000000 (* -7591171304756061/1000000000000000 x))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (patch (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 53246947009/10000000000 (* x (- (* 520168508864906276969/100000000000000000000 x) 7591171304756061/1000000000000000)))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (patch (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 53246947009/10000000000 (* x (- (* x (+ 520168508864906276969/100000000000000000000 (* -46562965328494594023256901/10000000000000000000000000 x))) 7591171304756061/1000000000000000)))) (taylor 0 x) (#s(alt (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (patch (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt 53246947009/10000000000 (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 53246947009/10000000000 (* -5283641304756061/1000000000000000 x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 53246947009/10000000000 (* x (- (* 493107508864906276969/100000000000000000000 x) 5283641304756061/1000000000000000))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 53246947009/10000000000 (* x (- (* x (+ 493107508864906276969/100000000000000000000 (* -46562965328494594023256901/10000000000000000000000000 x))) 5283641304756061/1000000000000000))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 99229/100000 x) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -27061/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (+ (* (- 0 (* x x)) (+ (* x -27061/100000) 230753/100000)) (* (+ 0 x) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (* (+ 0 x) (+ (* x -27061/100000) 230753/100000))) (+ (* (- 0 (* x x)) (+ (* x -27061/100000) 230753/100000)) (* (+ 0 x) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ 0 x) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* x -27061/100000) 230753/100000))
1.0ms
x
@-inf
((/ (+ (* (- 0 (* x x)) (+ (* x -27061/100000) 230753/100000)) (* (+ 0 x) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (* (+ 0 x) (+ (* x -27061/100000) 230753/100000))) (+ (* (- 0 (* x x)) (+ (* x -27061/100000) 230753/100000)) (* (+ 0 x) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ 0 x) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* x -27061/100000) 230753/100000))
1.0ms
x
@0
((/ (+ (* (- 0 (* x x)) (+ (* x -27061/100000) 230753/100000)) (* (+ 0 x) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (* (+ 0 x) (+ (* x -27061/100000) 230753/100000))) (+ (* (- 0 (* x x)) (+ (* x -27061/100000) 230753/100000)) (* (+ 0 x) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))))) (* (+ (* 732297721/10000000000 (* x x)) -53246947009/10000000000) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1))) (+ 0 x) (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (+ (* x -27061/100000) 230753/100000))

simplify339.0ms (5.1%)

Memory
-35.7MiB live, 289.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 300×lower-fma.f64
14 300×lower-fma.f32
4 712×lower-*.f64
4 712×lower-*.f32
4 132×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0206546
1564545
21411524
33853508
08343472
Stop Event
1×iter limit
1×node limit
Counts
72 → 60
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* 53246947009/10000000000 x)
(* x (+ 53246947009/10000000000 (* -7591171304756061/1000000000000000 x)))
(* x (+ 53246947009/10000000000 (* x (- (* 520168508864906276969/100000000000000000000 x) 7591171304756061/1000000000000000))))
(* x (+ 53246947009/10000000000 (* x (- (* x (+ 520168508864906276969/100000000000000000000 (* -46562965328494594023256901/10000000000000000000000000 x))) 7591171304756061/1000000000000000))))
53246947009/10000000000
(+ 53246947009/10000000000 (* -5283641304756061/1000000000000000 x))
(+ 53246947009/10000000000 (* x (- (* 493107508864906276969/100000000000000000000 x) 5283641304756061/1000000000000000)))
(+ 53246947009/10000000000 (* x (- (* x (+ 493107508864906276969/100000000000000000000 (* -46562965328494594023256901/10000000000000000000000000 x))) 5283641304756061/1000000000000000)))
x
x
x
x
-1
(- (* 99229/100000 x) 1)
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
230753/100000
(+ 230753/100000 (* -27061/100000 x))
(+ 230753/100000 (* -27061/100000 x))
(+ 230753/100000 (* -27061/100000 x))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* 27061/100000 (pow x 3))
(* (pow x 3) (- 27061/100000 (* 230753/100000 (/ 1 x))))
(* (pow x 3) (+ 27061/100000 (* -1 (/ (+ 230753/100000 (* 732297721/448100000 (/ 1 x))) x))))
(* (pow x 3) (- (+ 27061/100000 (* 72665170557109/2007936100000 (/ 1 (pow x 3)))) (+ (* 230753/100000 (/ 1 x)) (/ 732297721/448100000 (pow x 2)))))
-732297721/448100000
(- (* 72665170557109/2007936100000 (/ 1 x)) 732297721/448100000)
(- (* 72665170557109/2007936100000 (/ 1 x)) (+ 732297721/448100000 (/ 181662029040302741/281173802003125 (pow x 2))))
(- (+ (* 72665170557109/2007936100000 (/ 1 x)) (* 17008602013182683721064/1259939806776003125 (/ 1 (pow x 3)))) (+ 732297721/448100000 (/ 181662029040302741/281173802003125 (pow x 2))))
x
x
x
x
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/ (- (+ (* 9922900000/20079361 (/ 1 x)) (* 88811884418598900000/403180738168321 (/ 1 (pow x 3)))) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(* -27061/100000 x)
(* x (- (* 230753/100000 (/ 1 x)) 27061/100000))
(* x (- (* 230753/100000 (/ 1 x)) 27061/100000))
(* x (- (* 230753/100000 (/ 1 x)) 27061/100000))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* 27061/100000 (pow x 3))
(* -1 (* (pow x 3) (- (* 230753/100000 (/ 1 x)) 27061/100000)))
(* -1 (* (pow x 3) (- (+ (* 230753/100000 (/ 1 x)) (/ 732297721/448100000 (pow x 2))) 27061/100000)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 732297721/448100000 (* 72665170557109/2007936100000 (/ 1 x))) x)) 230753/100000) x)) 27061/100000)))
-732297721/448100000
(- (* 72665170557109/2007936100000 (/ 1 x)) 732297721/448100000)
(- (* -1 (/ (- (* 181662029040302741/281173802003125 (/ 1 x)) 72665170557109/2007936100000) x)) 732297721/448100000)
(- (* -1 (/ (- (* -1 (/ (- (* 17008602013182683721064/1259939806776003125 (/ 1 x)) 181662029040302741/281173802003125) x)) 72665170557109/2007936100000) x)) 732297721/448100000)
x
x
x
x
(/ -100000/4481 (pow x 2))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(* -27061/100000 x)
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64))
(* 53246947009/10000000000 x)
(*.f64 #s(literal 53246947009/10000000000 binary64) x)
(* x (+ 53246947009/10000000000 (* -7591171304756061/1000000000000000 x)))
(*.f64 (fma.f64 #s(literal -7591171304756061/1000000000000000 binary64) x #s(literal 53246947009/10000000000 binary64)) x)
(* x (+ 53246947009/10000000000 (* x (- (* 520168508864906276969/100000000000000000000 x) 7591171304756061/1000000000000000))))
(*.f64 (fma.f64 (fma.f64 #s(literal 520168508864906276969/100000000000000000000 binary64) x #s(literal -7591171304756061/1000000000000000 binary64)) x #s(literal 53246947009/10000000000 binary64)) x)
(* x (+ 53246947009/10000000000 (* x (- (* x (+ 520168508864906276969/100000000000000000000 (* -46562965328494594023256901/10000000000000000000000000 x))) 7591171304756061/1000000000000000))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -46562965328494594023256901/10000000000000000000000000 binary64) x #s(literal 520168508864906276969/100000000000000000000 binary64)) x #s(literal -7591171304756061/1000000000000000 binary64)) x #s(literal 53246947009/10000000000 binary64)) x)
53246947009/10000000000
#s(literal 53246947009/10000000000 binary64)
(+ 53246947009/10000000000 (* -5283641304756061/1000000000000000 x))
(fma.f64 #s(literal -5283641304756061/1000000000000000 binary64) x #s(literal 53246947009/10000000000 binary64))
(+ 53246947009/10000000000 (* x (- (* 493107508864906276969/100000000000000000000 x) 5283641304756061/1000000000000000)))
(fma.f64 (fma.f64 #s(literal 493107508864906276969/100000000000000000000 binary64) x #s(literal -5283641304756061/1000000000000000 binary64)) x #s(literal 53246947009/10000000000 binary64))
(+ 53246947009/10000000000 (* x (- (* x (+ 493107508864906276969/100000000000000000000 (* -46562965328494594023256901/10000000000000000000000000 x))) 5283641304756061/1000000000000000)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -46562965328494594023256901/10000000000000000000000000 binary64) x #s(literal 493107508864906276969/100000000000000000000 binary64)) x #s(literal -5283641304756061/1000000000000000 binary64)) x #s(literal 53246947009/10000000000 binary64))
x
x
x
x
-1
#s(literal -1 binary64)
(- (* 99229/100000 x) 1)
(fma.f64 #s(literal 99229/100000 binary64) x #s(literal -1 binary64))
(- (* x (+ 99229/100000 (* -9398294441/10000000000 x))) 1)
(fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
(- (* x (+ 99229/100000 (* x (- (* 888118844185989/1000000000000000 x) 9398294441/10000000000)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 888118844185989/1000000000000000 binary64) x #s(literal -9398294441/10000000000 binary64)) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))
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))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) x (neg.f64 x))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1651231776/20079361 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x))
(* 27061/100000 (pow x 3))
(*.f64 #s(literal 27061/100000 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- 27061/100000 (* 230753/100000 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) x) x)
(* (pow x 3) (+ 27061/100000 (* -1 (/ (+ 230753/100000 (* 732297721/448100000 (/ 1 x))) x))))
(*.f64 (-.f64 #s(literal 27061/100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 732297721/448100000 binary64) x) #s(literal 230753/100000 binary64)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ 27061/100000 (* 72665170557109/2007936100000 (/ 1 (pow x 3)))) (+ (* 230753/100000 (/ 1 x)) (/ 732297721/448100000 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (/.f64 (-.f64 #s(literal 732297721/448100000 binary64) (/.f64 #s(literal 72665170557109/2007936100000 binary64) x)) x)) x) #s(literal -27061/100000 binary64)) (pow.f64 x #s(literal 3 binary64)))
-732297721/448100000
#s(literal -732297721/448100000 binary64)
(- (* 72665170557109/2007936100000 (/ 1 x)) 732297721/448100000)
(-.f64 (/.f64 #s(literal 72665170557109/2007936100000 binary64) x) #s(literal 732297721/448100000 binary64))
(- (* 72665170557109/2007936100000 (/ 1 x)) (+ 732297721/448100000 (/ 181662029040302741/281173802003125 (pow x 2))))
(-.f64 #s(literal -732297721/448100000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 181662029040302741/281173802003125 binary64) x) #s(literal 72665170557109/2007936100000 binary64)) x))
(- (+ (* 72665170557109/2007936100000 (/ 1 x)) (* 17008602013182683721064/1259939806776003125 (/ 1 (pow x 3)))) (+ 732297721/448100000 (/ 181662029040302741/281173802003125 (pow x 2))))
(-.f64 #s(literal -732297721/448100000 binary64) (/.f64 (-.f64 #s(literal -72665170557109/2007936100000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 17008602013182683721064/1259939806776003125 binary64) x) #s(literal 181662029040302741/281173802003125 binary64)) x)) x))
x
x
x
x
(/ -100000/4481 (pow x 2))
(/.f64 #s(literal -100000/4481 binary64) (*.f64 x x))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9922900000/20079361 binary64) x) #s(literal 100000/4481 binary64)) x) x)
(/ (- (* 9922900000/20079361 (/ 1 x)) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 939829444100000/89975616641 binary64) x) #s(literal 9922900000/20079361 binary64)) x)) (*.f64 x x))
(/ (- (+ (* 9922900000/20079361 (/ 1 x)) (* 88811884418598900000/403180738168321 (/ 1 (pow x 3)))) (+ 100000/4481 (/ 939829444100000/89975616641 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 #s(literal -9922900000/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 88811884418598900000/403180738168321 binary64) x) #s(literal 939829444100000/89975616641 binary64)) x)) x)) (*.f64 x x))
(* -27061/100000 x)
(*.f64 #s(literal -27061/100000 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 27061/100000))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 27061/100000))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 27061/100000))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) x (neg.f64 x))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1651231776/20079361 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal 1651231776/20079361 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x))
(* 27061/100000 (pow x 3))
(*.f64 #s(literal 27061/100000 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* 230753/100000 (/ 1 x)) 27061/100000)))
(*.f64 (*.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal -230753/100000 binary64)) x) x)
(* -1 (* (pow x 3) (- (+ (* 230753/100000 (/ 1 x)) (/ 732297721/448100000 (pow x 2))) 27061/100000)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -230753/100000 binary64) (/.f64 #s(literal 732297721/448100000 binary64) x)) #s(literal 27061/100000 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- 732297721/448100000 (* 72665170557109/2007936100000 (/ 1 x))) x)) 230753/100000) x)) 27061/100000)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -230753/100000 binary64) (/.f64 (-.f64 #s(literal 732297721/448100000 binary64) (/.f64 #s(literal 72665170557109/2007936100000 binary64) x)) x)) x) #s(literal -27061/100000 binary64)) (pow.f64 x #s(literal 3 binary64)))
-732297721/448100000
#s(literal -732297721/448100000 binary64)
(- (* 72665170557109/2007936100000 (/ 1 x)) 732297721/448100000)
(-.f64 (/.f64 #s(literal 72665170557109/2007936100000 binary64) x) #s(literal 732297721/448100000 binary64))
(- (* -1 (/ (- (* 181662029040302741/281173802003125 (/ 1 x)) 72665170557109/2007936100000) x)) 732297721/448100000)
(-.f64 #s(literal -732297721/448100000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 181662029040302741/281173802003125 binary64) x) #s(literal 72665170557109/2007936100000 binary64)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 17008602013182683721064/1259939806776003125 (/ 1 x)) 181662029040302741/281173802003125) x)) 72665170557109/2007936100000) x)) 732297721/448100000)
(-.f64 #s(literal -732297721/448100000 binary64) (/.f64 (-.f64 #s(literal -72665170557109/2007936100000 binary64) (/.f64 (-.f64 (/.f64 #s(literal 17008602013182683721064/1259939806776003125 binary64) x) #s(literal 181662029040302741/281173802003125 binary64)) x)) x))
x
x
x
x
(/ -100000/4481 (pow x 2))
(/.f64 #s(literal -100000/4481 binary64) (*.f64 x x))
(/ (- (* 9922900000/20079361 (/ 1 x)) 100000/4481) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9922900000/20079361 binary64) x) #s(literal 100000/4481 binary64)) x) x)
(/ (- (* -1 (/ (- (* 939829444100000/89975616641 (/ 1 x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 (/.f64 #s(literal 939829444100000/89975616641 binary64) x) #s(literal 9922900000/20079361 binary64)) x)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 88811884418598900000/403180738168321 (/ 1 x)) 939829444100000/89975616641) x)) 9922900000/20079361) x)) 100000/4481) (pow x 2))
(/.f64 (-.f64 #s(literal -100000/4481 binary64) (/.f64 (-.f64 #s(literal -9922900000/20079361 binary64) (/.f64 (-.f64 (/.f64 #s(literal 88811884418598900000/403180738168321 binary64) x) #s(literal 939829444100000/89975616641 binary64)) x)) x)) (*.f64 x x))
(* -27061/100000 x)
(*.f64 #s(literal -27061/100000 binary64) x)
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* -1 (* x (- 27061/100000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64))

rewrite188.0ms (2.8%)

Memory
1.4MiB live, 316.1MiB allocated
Rules
4 988×lower-/.f32
4 984×lower-/.f64
3 924×lower-*.f32
3 916×lower-*.f64
2 922×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023101
04191
119088
2183688
0840288
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 785
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))))
(*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) x)
(/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))
(fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))
Outputs
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eval349.0ms (5.3%)

Memory
28.2MiB live, 340.8MiB allocated
Compiler

Compiled 56 025 to 3 673 computations (93.4% saved)

prune70.0ms (1.1%)

Memory
-15.8MiB live, 71.8MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New9221923
Fresh000
Picked101
Done099
Total92310933
Accuracy
100.0%
Counts
933 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓44.8%
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
60.2%
(/.f64 (fma.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
✓100.0%
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
✓56.5%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
✓98.1%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
✓48.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
✓46.3%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
✓54.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
✓56.8%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
✓45.1%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Compiler

Compiled 312 to 167 computations (46.5% saved)

regimes11.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x) (*.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal 230753/100000 binary64)) (*.f64 (neg.f64 x) x))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (fma.f64 #s(literal 732297721/10000000000 binary64) (*.f64 x x) #s(literal -53246947009/10000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal 230753/100000 binary64))))
(fma.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (pow.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 27061/100000 binary64) x)))) (neg.f64 x))
Outputs
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
Calls

2 calls:

5.0ms
x
5.0ms
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes10.0ms (0.2%)

Memory
-18.9MiB live, 18.6MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
Outputs
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
Calls

2 calls:

6.0ms
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes7.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 #s(approx (+ (* (+ (* -179503363065659419717/100000000000000000000 x) 1900161040244073/1000000000000000) x) -30191289437/10000000000) #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 #s(literal 1900161040244073/1000000000000000 binary64) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -179503363065659419717/100000000000000000000 binary64) x #s(literal 1900161040244073/1000000000000000 binary64)) x #s(literal -30191289437/10000000000 binary64)) x #s(literal 230753/100000 binary64)))
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) #s(approx (/ -1 (+ (* (+ (* 4481/100000 x) 99229/100000) x) 1)) (fma.f64 (fma.f64 #s(literal -9398294441/10000000000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal -1 binary64))) (neg.f64 x))
Outputs
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
Calls

2 calls:

3.0ms
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
3.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
98.1%1(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory
-29.5MiB live, 8.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
Outputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Results
AccuracySegmentsBranch
98.6%3x
98.6%3(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Outputs
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Calls

2 calls:

1.0ms
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
1.0ms
x
Results
AccuracySegmentsBranch
45.1%1x
45.1%1(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.3077172519441747
174969712.68231776
0.0ms
-56565017.13337235
1.904756778538398
Compiler

Compiled 20 to 18 computations (10% saved)

simplify25.0ms (0.4%)

Memory
29.2MiB live, 66.3MiB allocated
Algorithm
1×egg-herbie
Rules
14×+-commutative-binary64-+.f64
8×*-commutative-binary64-*.f64
8×sub-neg-binary64-neg.f64-+.f64--.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044167
158167
263167
364167
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -50000000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Outputs
(fma.f64 (fma.f64 #s(literal -27061/100000 binary64) x #s(literal -230753/100000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (/.f64 (fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64)) (fma.f64 (fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64)) x #s(literal 1 binary64))) x)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -50000000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal -50000000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 27061/100000 binary64) x) #s(literal 230753/100000 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal 4481/100000 binary64) x) #s(literal 99229/100000 binary64)) x) #s(literal 1 binary64))) x) #s(literal 4 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64)) #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))

soundness397.0ms (6%)

Memory
-15.7MiB live, 355.4MiB allocated
Rules
10 760×lower-fma.f64
10 760×lower-fma.f32
7 866×lower-fma.f64
7 866×lower-fma.f32
5 638×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01464
02264
19864
280764
0838253
0122570
1337562
2798558
31945522
46965522
08171468
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 170 to 83 computations (51.2% saved)

preprocess276.0ms (4.2%)

Memory
2.6MiB live, 80.9MiB allocated
Compiler

Compiled 202 to 100 computations (50.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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