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

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze6.0ms (0.1%)

Memory
-25.5MiB live, 15.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.3s (20.9%)

Memory
29.5MiB live, 2 598.6MiB allocated
Samples
994.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 824.0ms
const: 412.0ms (50% of total)
ival-mult: 169.0ms (20.5% of total)
ival-add: 118.0ms (14.3% of total)
ival-div: 62.0ms (7.5% of total)
ival-sub: 47.0ms (5.7% of total)
ival-true: 7.0ms (0.8% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain191.0ms (3%)

Memory
-6.1MiB live, 519.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
540-0-(/.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
72.0ms512×0valid
Compiler

Compiled 162 to 46 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
const: 27.0ms (49.9% of total)
ival-add: 10.0ms (18.5% of total)
ival-mult: 10.0ms (18.5% of total)
ival-div: 4.0ms (7.4% of total)
ival-sub: 2.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess138.0ms (2.2%)

Memory
14.0MiB live, 132.2MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
Compiler

Compiled 18 to 14 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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 18 to 14 computations (22.2% saved)

simplify77.0ms (1.2%)

Memory
-7.1MiB live, 70.3MiB allocated
Algorithm
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
iter limit
saturated
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 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(/.f64 (+.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 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 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)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
#s(literal 99229/100000 binary64)
(*.f64 x #s(literal 4481/100000 binary64))
#s(literal 4481/100000 binary64)

localize56.0ms (0.9%)

Memory
25.9MiB live, 105.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
accuracy0.3671875
(*.f64 x #s(literal 4481/100000 binary64))
accuracy0.4375
(*.f64 x #s(literal 27061/100000 binary64))
accuracy12.671742384490697
(/.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: 23.0ms
const: 12.0ms (51.7% of total)
ival-mult: 5.0ms (21.5% of total)
ival-add: 3.0ms (12.9% of total)
ival-div: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-20.7MiB live, 17.9MiB 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 (* 27061/100000 x) (taylor inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor inf 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 (* 27061/100000 x) (taylor -inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf 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 (* x (+ 27061/100000 (* 230753/100000 (/ 1 x)))) (taylor -inf 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 (* 4481/100000 (pow x 2)) (taylor inf 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 (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf 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 (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf 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 (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf 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 (* 4481/100000 (pow x 2)) (taylor -inf 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>) () ())) ())
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#s(alt (* 4481/100000 x) (taylor 0 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 0 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 0 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 0 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 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 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 (* 99229/100000 x) (taylor 0 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 (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 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 (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 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 (* x (+ 99229/100000 (* 4481/100000 x))) (taylor 0 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 (* 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>) () ())) ())
#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

24 calls:

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

simplify189.0ms (3%)

Memory
34.0MiB live, 308.4MiB allocated
Algorithm
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
0122592
1337584
2799558
31945522
46969522
08157468
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 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 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 27061/100000 x)
(*.f64 #s(literal 27061/100000 binary64) x)
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))

rewrite430.0ms (6.9%)

Memory
-192.2MiB live, 486.4MiB 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
iter limit
node limit
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
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+.f64 #s(literal 230753/100000 binary64) (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))
(+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(+.f64 (neg.f64 (*.f64 x #s(literal -27061/100000 binary64))) #s(literal 230753/100000 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64))) #s(literal 230753/100000 binary64))
(+.f64 (*.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64)) #s(literal 230753/100000 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)))
(-.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))) (/.f64 #s(literal 53246947009/10000000000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 27061/100000 binary64) x #s(literal 230753/100000 binary64))
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 1 binary64) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 230753/100000 binary64))
(fma.f64 #s(literal 53246947009/10000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(neg.f64 (fma.f64 x #s(literal -27061/100000 binary64) #s(literal -230753/100000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))
(/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (*.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))) (+.f64 (/.f64 #s(literal 53246947009/10000000000 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)) (*.f64 x #s(literal 6244406933/10000000000 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64)) #s(literal 12286892763167777/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))))) (neg.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal -53246947009/10000000000 binary64))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal -230753/100000 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1854924355574497323849180998921432230216877326433/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 7782059939393690265947066921031556117141/1000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) (+.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/1000000000000000 binary64))) #s(literal 12286892763167777/1000000000000000 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))) (+.f64 #s(literal 12286892763167777/1000000000000000 binary64) (*.f64 #s(literal -19816708627981/1000000000000000 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 150967733773584690183223851121729/1000000000000000000000000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 392701940846296607456136361/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (+.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64))) (fma.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 2835237365779254046081/100000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 536259952181793841/100000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x (*.f64 x #s(literal 732297721/10000000000 binary64)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (neg.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))))) (+.f64 #s(literal -99229/100000 binary64) (neg.f64 (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x)) (+.f64 #s(literal -99229/100000 binary64) (neg.f64 (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) (*.f64 x x) (-.f64 (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64))) (*.f64 x x)) (*.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -9846394441/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))))) (+.f64 #s(literal -99229/100000 binary64) (neg.f64 (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64))) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))))) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) x) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -9846394441/10000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) x) (+.f64 #s(literal -99229/100000 binary64) (neg.f64 (*.f64 x #s(literal -4481/100000 binary64)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal -9846394441/10000000000 binary64)) x) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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 (*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) #s(literal 1 binary64)) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(*.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) x)
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))) x))
(*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) x))
(*.f64 (fma.f64 #s(literal 977047873985989/1000000000000000 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4481/100000 binary64) (*.f64 x x)) (*.f64 x #s(literal 99229/100000 binary64)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))
(*.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 89975616641/1000000000000000 binary64)) #s(literal 977047873985989/1000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 20079361/10000000000 binary64)) #s(literal 444645149/10000000000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -20079361/10000000000 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))

eval92.0ms (1.5%)

Memory
5.2MiB live, 201.2MiB allocated
Compiler

Compiled 19 719 to 2 015 computations (89.8% saved)

prune74.0ms (1.2%)

Memory
17.3MiB live, 176.4MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5827589
Fresh000
Picked101
Done000
Total5837590
Accuracy
100.0%
Counts
590 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
45.0%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
46.2%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 #s(literal 27061/4481 binary64) x)) x)
98.3%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
63.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
46.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
56.4%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Compiler

Compiled 102 to 66 computations (35.3% saved)

simplify97.0ms (1.5%)

Memory
-12.3MiB live, 67.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
cost-diff0
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #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
(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
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
Rules
1 544×lower-fma.f32
1 536×lower-fma.f64
664×lower-*.f64
664×lower-*.f32
526×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027157
037142
161142
294142
3108142
4124142
5158142
6253142
7440142
8924142
91631142
102922142
113413142
123545142
133599142
143613142
153618142
163624142
03624142
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
x
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 4481/100000 binary64) #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) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(neg.f64 x)
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))))) #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 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
x
#s(literal -30191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)
Outputs
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
x
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 4481/100000 binary64) #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) #s(literal 230753/100000 binary64))
#s(literal 230753/100000 binary64)
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
(neg.f64 x)
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))))) #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 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
x
#s(literal -30191289437/10000000000 binary64)
#s(literal 230753/100000 binary64)

localize84.0ms (1.3%)

Memory
29.7MiB live, 147.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.1640625
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
accuracy23.658607126642252
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
accuracy0
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
accuracy27.754557779847016
#s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64))
accuracy0
(neg.f64 x)
accuracy34.52990399954437
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
accuracy27.90968870765778
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
accuracy0.078125
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
accuracy0.15234375
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy0.21484375
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
accuracy12.671742384490697
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
Samples
58.0ms256×0valid
Compiler

Compiled 156 to 26 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
const: 15.0ms (34.2% of total)
ival-mult: 14.0ms (31.9% of total)
ival-add: 8.0ms (18.2% of total)
ival-div: 3.0ms (6.8% of total)
ival-sub: 2.0ms (4.6% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-26.2MiB live, 12.4MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<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>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #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 #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 (-.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 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (patch #s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) (patch (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<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 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<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 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) #<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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* 27061/100000 x) (taylor inf 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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#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
Calls

36 calls:

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

simplify248.0ms (4%)

Memory
28.8MiB live, 267.3MiB allocated
Algorithm
egg-herbie
Rules
10 958×lower-fma.f64
10 958×lower-fma.f32
4 166×lower-*.f64
4 166×lower-*.f32
1 472×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271102
13541086
28511062
32118894
47292894
08505810
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* -30191289437/10000000000 x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 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 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 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 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -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 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -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)
(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)
(neg.f64 x)
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 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -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 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #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 (* -30191289437/10000000000 x))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(* -30191289437/10000000000 x)
(*.f64 #s(literal -30191289437/10000000000 binary64) x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(fma.f64 #s(literal -30191289437/10000000000 binary64) x #s(literal 230753/100000 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))

rewrite298.0ms (4.8%)

Memory
-10.4MiB live, 419.3MiB allocated
Rules
4 938×lower-fma.f32
4 930×lower-fma.f64
4 606×lower-/.f32
4 604×lower-/.f64
3 584×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027144
037129
1193129
21444129
08476129
Stop Event
iter limit
node limit
iter limit
Counts
12 → 569
Calls
Call 1
Inputs
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
#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))
(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))))) #s(literal 230753/100000 binary64))
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
Outputs
(+.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(+.f64 (neg.f64 x) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))))))
(+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(-.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal -230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 4481/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64))))))
(*.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x #s(literal 4481/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 x #s(literal 444645149/10000000000 binary64)))))))
(*.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))

eval129.0ms (2.1%)

Memory
-9.9MiB live, 269.0MiB allocated
Compiler

Compiled 21 357 to 1 910 computations (91.1% saved)

prune187.0ms (3%)

Memory
33.9MiB live, 196.7MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New7103713
Fresh202
Picked055
Done000
Total7128720
Accuracy
100.0%
Counts
720 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
46.4%
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x)
45.0%
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
46.2%
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
98.3%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
63.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
46.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
56.4%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Compiler

Compiled 66 to 43 computations (34.8% saved)

simplify177.0ms (2.8%)

Memory
-22.9MiB live, 93.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
cost-diff0
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
cost-diff0
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x)
cost-diff0
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
cost-diff0
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
cost-diff0
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
cost-diff0
(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff0
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
cost-diff0
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
Rules
2 160×lower-fma.f32
2 156×lower-fma.f64
1 072×lower-*.f32
1 070×lower-*.f64
824×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029179
040179
159179
282179
3102179
4122179
5165179
6257179
7379179
8665179
91232179
102839179
113923179
124678179
134959179
145298179
155346179
165426179
175588179
185590179
195590179
205590179
05590172
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)
x
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
#s(literal 27061/4481 binary64)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
#s(literal -1651231776/20079361 binary64)
x
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x)
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
x
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)
Outputs
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
#s(literal 27061/4481 binary64)
x
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x)) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(-.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) x))
#s(literal 27061/4481 binary64)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
#s(literal -1651231776/20079361 binary64)
x
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x)
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
x
#s(literal 27061/100000 binary64)
#s(literal 230753/100000 binary64)
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
#s(literal 4481/100000 binary64)
#s(literal 99229/100000 binary64)

localize106.0ms (1.7%)

Memory
13.7MiB live, 86.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy0.21484375
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
accuracy12.671742384490697
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
accuracy34.47125992275401
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
accuracy0.00390625
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
accuracy0.26953125
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
accuracy0.38671875
(/.f64 #s(literal -1651231776/20079361 binary64) x)
accuracy35.6074129974378
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
accuracy0
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
accuracy0.33203125
(/.f64 #s(literal 27061/4481 binary64) x)
accuracy35.12121618813684
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
Samples
85.0ms256×0valid
Compiler

Compiled 152 to 22 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
const: 50.0ms (68.7% of total)
ival-div: 12.0ms (16.5% of total)
ival-mult: 5.0ms (6.9% of total)
ival-add: 4.0ms (5.5% of total)
ival-sub: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())
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#s(alt (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) (patch (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) (patch (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) (patch (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) (patch (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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>) () ())
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#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) #<representation binary64>) () ())) ())
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#s(alt 230753/100000 (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<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 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 #s(literal 27061/4481 binary64) x) (patch (/.f64 #s(literal 27061/4481 binary64) x) #<representation binary64>) () ())) ())
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#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ())
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#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x) #<representation binary64>) () ())) ())
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#s(alt (* 4481/100000 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (patch #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1651231776/20079361 binary64) x) (patch (/.f64 #s(literal -1651231776/20079361 binary64) x) #<representation binary64>) () ())) ())
#s(alt 99229/100000 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 99229/100000 (* 4481/100000 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4481/100000 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (patch (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #<representation binary64>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms
x
@-inf
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms
x
@0
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
0.0ms
x
@0
(/ 27061/4481 x)
0.0ms
x
@0
(/ -1651231776/20079361 x)

simplify290.0ms (4.6%)

Memory
-21.7MiB live, 227.6MiB allocated
Algorithm
egg-herbie
Rules
11 684×lower-fma.f64
11 684×lower-fma.f32
4 134×lower-*.f64
4 134×lower-*.f32
1 548×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291108
13511084
28291002
32009942
47038942
08297873
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/ -1651231776/20079361 x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
230753/100000
#s(literal 230753/100000 binary64)
(+ 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 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -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 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
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(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))

rewrite299.0ms (4.8%)

Memory
24.1MiB live, 402.4MiB allocated
Rules
5 010×lower-fma.f32
5 006×lower-fma.f64
4 310×lower-/.f32
4 302×lower-/.f64
3 840×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029163
040163
1177163
21319163
08340156
Stop Event
iter limit
node limit
iter limit
Counts
13 → 383
Calls
Call 1
Inputs
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))
(/.f64 #s(literal 27061/4481 binary64) x)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x)
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
#s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
Outputs
(+.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (neg.f64 x))
(+.f64 (neg.f64 x) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
(+.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))))))
(+.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))))
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
(-.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))))
(-.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))))
(fma.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))))))
(fma.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))))
(fma.f64 #s(literal -1 binary64) x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (neg.f64 x)))) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))))
(/.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x))))))
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eval97.0ms (1.5%)

Memory
-6.5MiB live, 170.0MiB allocated
Compiler

Compiled 15 131 to 1 392 computations (90.8% saved)

prune66.0ms (1.1%)

Memory
-10.8MiB live, 230.7MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New5381539
Fresh000
Picked123
Done055
Total5398547
Accuracy
100.0%
Counts
547 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
46.4%
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x)
45.0%
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
46.2%
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
98.3%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
63.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
46.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
56.4%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Compiler

Compiled 67 to 43 computations (35.8% saved)

simplify267.0ms (4.3%)

Memory
15.4MiB live, 133.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
cost-diff0
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
cost-diff0
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
Rules
2 568×lower-fma.f32
2 566×lower-fma.f64
2 166×div-sub
1 946×lower-*.f32
1 944×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02068
02568
14568
26568
37768
48568
510068
613268
718268
825168
930768
1055168
1185268
12155065
13295865
14416665
15502065
16538065
17566865
18614765
19680065
20764965
0804059
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
x
#s(literal 27061/4481 binary64)
#s(literal -1651231776/20079361 binary64)
(*.f64 x x)
Outputs
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
x
#s(literal 27061/4481 binary64)
#s(literal -1651231776/20079361 binary64)
(*.f64 x x)

localize152.0ms (2.4%)

Memory
-11.5MiB live, 105.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.1484375
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
accuracy12.7733048844907
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
accuracy35.6074129974378
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
Samples
139.0ms256×0valid
Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
const: 99.0ms (75.5% of total)
ival-div: 15.0ms (11.4% of total)
ival-mult: 10.0ms (7.6% of total)
ival-add: 6.0ms (4.6% of total)
ival-sub: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt 230753/100000 (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -30191289437/10000000000 x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000))) (taylor 0 x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3))))) (taylor inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) 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 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) (patch (-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())) ())
#s(alt 230753/100000 (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* -20191289437/10000000000 x)) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000))) (taylor 0 x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<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 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (patch #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -1651231776/20079361 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 27061/4481 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) (patch (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt -1651231776/20079361 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27061/4481 x) 1651231776/20079361) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27061/4481 x) 1651231776/20079361) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 27061/4481 x) 1651231776/20079361) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/4481 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 27061/4481 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (patch (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

15 calls:

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

simplify215.0ms (3.4%)

Memory
-7.3MiB live, 199.5MiB allocated
Algorithm
egg-herbie
Rules
9 930×lower-fma.f64
9 930×lower-fma.f32
2 796×lower-*.f64
2 796×lower-*.f32
1 368×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108396
1283388
2705368
31838348
45864348
08255327
Stop Event
iter limit
node limit
Counts
60 → 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)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
-1651231776/20079361
(- (* 27061/4481 x) 1651231776/20079361)
(- (* 27061/4481 x) 1651231776/20079361)
(- (* 27061/4481 x) 1651231776/20079361)
(* 27061/4481 x)
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(* 27061/4481 x)
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
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 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -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 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)) x)
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
(/ -1651231776/20079361 (pow x 2))
(/.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)
(- (* 27061/4481 x) 1651231776/20079361)
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(- (* 27061/4481 x) 1651231776/20079361)
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(- (* 27061/4481 x) 1651231776/20079361)
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* 27061/4481 x)
(*.f64 x #s(literal 27061/4481 binary64))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* x (- 27061/4481 (* 1651231776/20079361 (/ 1 x))))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* 27061/4481 x)
(*.f64 x #s(literal 27061/4481 binary64))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(* -1 (* x (- (* 1651231776/20079361 (/ 1 x)) 27061/4481)))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite306.0ms (4.9%)

Memory
12.2MiB live, 371.4MiB allocated
Rules
7 664×lower-fma.f32
7 662×lower-fma.f64
5 852×lower-*.f32
5 850×lower-*.f64
4 218×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02065
02565
112765
293365
0858659
Stop Event
iter limit
node limit
iter limit
Counts
5 → 252
Calls
Call 1
Inputs
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
#s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))
(fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))
(*.f64 x x)
Outputs
(+.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (neg.f64 x))
(+.f64 (neg.f64 x) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))))))
(+.f64 (/.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))))))
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
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(fma.f64 (*.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x)))))))
(fma.f64 #s(literal -1 binary64) x #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (fma.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))) (*.f64 (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) (/.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)))
(*.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 732297721/20079361 binary64)) #s(literal -44683983090336/89975616641 binary64))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 27061/4481 binary64) #s(literal 1651231776/20079361 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -27061/4481 binary64) #s(literal 1651231776/20079361 binary64)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 19816708627981/89975616641 binary64)) #s(literal -4502193042845904546911256576/8095611589928196122881 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 2726566378072114176/403180738168321 binary64) (fma.f64 x #s(literal 44683983090336/89975616641 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64) #s(literal -2726566378072114176/403180738168321 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -27061/4481 binary64) #s(literal -1651231776/20079361 binary64))))
(*.f64 (-.f64 #s(literal 2726566378072114176/403180738168321 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/20079361 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal -27061/4481 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)

eval75.0ms (1.2%)

Memory
-0.2MiB live, 70.6MiB allocated
Compiler

Compiled 8 544 to 912 computations (89.3% saved)

prune67.0ms (1.1%)

Memory
-18.2MiB live, 110.7MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3120312
Fresh000
Picked011
Done077
Total3128320
Accuracy
100.0%
Counts
320 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
46.4%
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x)
45.0%
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
46.2%
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
98.3%
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) #s(literal 230753/100000 binary64)) x)
63.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
46.0%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) (neg.f64 x))
56.4%
#s(approx (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x) #s(literal 230753/100000 binary64))
Compiler

Compiled 170 to 81 computations (52.4% saved)

regimes9.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
12 → 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 x #s(literal -30191289437/10000000000 binary64) #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)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) x)
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(-.f64 (/.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 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
Calls

2 calls:

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

Compiled 20 to 15 computations (25% saved)

regimes10.0ms (0.2%)

Memory
-14.8MiB live, 22.1MiB 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 x #s(literal -30191289437/10000000000 binary64) #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)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 #s(literal 27061/4481 binary64) x)) x)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (fma.f64 x #s(literal 27061/4481 binary64) #s(literal -1651231776/20079361 binary64)) (*.f64 x x))) x)
(-.f64 #s(approx (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
(-.f64 #s(approx (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)) x)
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) #s(approx (+ (* x (+ (* x 4481/100000) 99229/100000)) 1) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) 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:

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)
3.0ms
x
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 20 to 15 computations (25% saved)

regimes3.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB 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:

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)
2.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
99.0%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 20 to 15 computations (25% saved)

regimes3.0ms (0%)

Memory
9.2MiB live, 9.2MiB 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
56.4%1x
56.4%1(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.30753
584.4954507548346
0.0ms
-238.038658589121
2.3075299912326765
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify11.0ms (0.2%)

Memory
-14.9MiB live, 21.3MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038151
153151
258151
359151
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(-.f64 #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 -200 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
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(-.f64 #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 -200 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))

soundness422.0ms (6.7%)

Memory
23.2MiB live, 297.5MiB 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
0122592
1337584
2799558
31945522
46969522
08157468
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 143 to 60 computations (58% saved)

preprocess53.0ms (0.9%)

Memory
-15.3MiB live, 103.6MiB allocated
Compiler

Compiled 174 to 82 computations (52.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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