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

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (18.7%)

Memory
41.9MiB live, 1 593.6MiB allocated
Samples
825.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 490.0ms
const: 270.0ms (55.1% of total)
ival-mult: 113.0ms (23.1% of total)
ival-add: 50.0ms (10.2% of total)
ival-sub: 43.0ms (8.8% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain334.0ms (5.6%)

Memory
-38.1MiB live, 217.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
00-0-#s(literal 3/25 binary64)
00-0-(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x #s(literal 3/25 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
00-0-#s(literal 253/1000 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
62.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
const: 13.0ms (52.5% of total)
ival-mult: 7.0ms (28.3% of total)
ival-sub: 2.0ms (8.1% of total)
ival-add: 2.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess56.0ms (0.9%)

Memory
10.4MiB live, 86.3MiB allocated
Algorithm
1×egg-herbie
Rules
584×lower-fma.f64
584×lower-fma.f32
248×lower-*.f32
244×lower-*.f64
136×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
13618
211718
334918
461318
571318
673518
774318
089
0129
1289
2669
31319
42249
53449
64799
76309
86529
06527
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify22.0ms (0.4%)

Memory
-6.1MiB live, 36.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3/25 binary64))
cost-diff0
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
cost-diff128
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Rules
584×lower-fma.f64
584×lower-fma.f32
248×lower-*.f32
244×lower-*.f64
136×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12828
26628
313128
422428
534428
647928
763028
865228
065224
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)

localize27.0ms (0.5%)

Memory
-9.5MiB live, 68.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
accuracy0.00390625
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy0.109375
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
accuracy0.25
(*.f64 x #s(literal 3/25 binary64))
Samples
19.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
const: 6.0ms (46.9% of total)
ival-mult: 4.0ms (31.2% of total)
ival-sub: 1.0ms (7.8% of total)
ival-add: 1.0ms (7.8% 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
12.3MiB live, 12.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt 253/1000 (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 253/1000 (* 3/25 x)) (taylor 0 x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 253/1000 x) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 253/1000 (* 3/25 x))) (taylor 0 x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) (patch (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3/25 binary64)) (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))
1.0ms
x
@-inf
((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))
1.0ms
x
@0
((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))

simplify129.0ms (2.2%)

Memory
-7.3MiB live, 151.2MiB allocated
Algorithm
1×egg-herbie
Rules
5 044×lower-fma.f64
5 044×lower-fma.f32
3 774×lower-*.f64
3 774×lower-*.f32
1 530×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035254
193254
2217248
3501248
41018248
52396248
64106248
75204248
86491248
97542248
08017215
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* 253/1000 x)
(*.f64 #s(literal 253/1000 binary64) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* 3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/25 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* 3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/25 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)

rewrite179.0ms (3%)

Memory
1.8MiB live, 281.9MiB allocated
Rules
4 504×lower-fma.f64
4 504×lower-fma.f32
4 210×lower-*.f32
4 206×lower-*.f64
2 686×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15524
242824
3432024
0827020
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 317
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(*.f64 x #s(literal 3/25 binary64))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/25 binary64) x)) x (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (*.f64 #s(literal 3/25 binary64) x) x (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 3/25 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x x) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 253/1000 binary64) x (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 x (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 x (*.f64 #s(literal 3/25 binary64) x) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 x #s(literal 253/1000 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)))
(+.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64))))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 x #s(literal 3/25 binary64))
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x)))

eval45.0ms (0.8%)

Memory
6.5MiB live, 124.9MiB allocated
Compiler

Compiled 7 090 to 955 computations (86.5% saved)

prune70.0ms (1.2%)

Memory
-5.2MiB live, 110.6MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3569365
Fresh000
Picked101
Done000
Total3579366
Accuracy
100.0%
Counts
366 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶99.8%
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶90.8%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
99.8%
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
99.8%
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))))))
48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
54.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶53.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
▶46.6%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 166 to 138 computations (16.9% saved)

simplify147.0ms (2.4%)

Memory
4.3MiB live, 82.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff128
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff320
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Rules
2 552×lower-fma.f32
2 540×lower-fma.f64
1 240×lower-*.f32
1 234×lower-*.f64
996×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025129
041127
180127
2148123
3272123
4560123
51091123
61627123
72869123
83743123
93791123
103796123
113801123
123801123
133917123
143960123
153960123
163960123
03960122
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
x
#s(literal -253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -3/25 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x)
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
x
#s(literal -253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
#s(literal -3/25 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(fma.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x)
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)

localize98.0ms (1.6%)

Memory
-3.2MiB live, 200.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy0.1484375
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy0.203125
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x)
accuracy5.969956072037787
(/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy0
(*.f64 x x)
accuracy0.015625
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.11328125
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy0
(*.f64 x x)
accuracy0.1640625
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
accuracy29.764573523847098
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
accuracy34.18873694815901
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy0.078125
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy0.14453125
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
Samples
80.0ms256×0valid
Compiler

Compiled 136 to 30 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 27.0ms (47.4% of total)
const: 18.0ms (31.6% of total)
ival-add: 7.0ms (12.3% of total)
ival-div: 2.0ms (3.5% of total)
ival-sub: 2.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-8.1MiB live, 29.3MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -3/25 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch (fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 3/25 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9/625 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -9/625 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* x -253/1000) (+ (* -3/25 (* x x)) 1)) (+ (* -3/25 (* x x)) 1) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000)) (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))
2.0ms
x
@inf
((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* x -253/1000) (+ (* -3/25 (* x x)) 1)) (+ (* -3/25 (* x x)) 1) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000)) (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))
2.0ms
x
@0
((+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* x -253/1000) (+ (* -3/25 (* x x)) 1)) (+ (* -3/25 (* x x)) 1) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000)) (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))

simplify132.0ms (2.2%)

Memory
9.0MiB live, 123.9MiB allocated
Algorithm
1×egg-herbie
Rules
4 158×lower-fma.f64
4 158×lower-fma.f32
3 264×lower-*.f64
3 264×lower-*.f32
1 424×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062968
1167958
2434938
31052938
42352938
53979938
65877938
77629938
08079809
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
1
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
(+ 1 (* -3/25 (pow x 2)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 64009/1000000 x)
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* -9/625 (pow x 3))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* -9/625 (pow x 3))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 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)
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* 253/1000 x)
(*.f64 #s(literal 253/1000 binary64) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* 64009/1000000 x)
(*.f64 #s(literal 64009/1000000 binary64) x)
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 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)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* 3/25 (pow x 2))
(*.f64 (*.f64 #s(literal 3/25 binary64) x) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* -9/625 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 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)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* 3/25 (pow x 2))
(*.f64 (*.f64 #s(literal 3/25 binary64) x) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* -9/625 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9/625 binary64)))
(* -9/625 (pow x 2))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))

rewrite185.0ms (3.1%)

Memory
19.5MiB live, 333.1MiB allocated
Rules
5 470×lower-fma.f32
5 458×lower-fma.f64
4 646×lower-*.f32
4 640×lower-*.f64
4 080×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025106
041104
1191104
21620104
08452102
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 422
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(*.f64 x x)
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x)
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -253/1000 binary64) x) (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)) (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)) (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 262254607552729/1000000000000000000 binary64))))
(fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 x (*.f64 #s(literal -9/625 binary64) x) #s(literal 64009/1000000 binary64))
(-.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
(+.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64))
(+.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (pow.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))))
(/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 3/25 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3/25 binary64)) (*.f64 (neg.f64 x) #s(literal 3/25 binary64))) (*.f64 #s(literal 253/1000 binary64) (*.f64 (neg.f64 x) #s(literal 3/25 binary64))))))
(/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x)) (neg.f64 (*.f64 #s(literal 3/25 binary64) x))) (*.f64 #s(literal 253/1000 binary64) (neg.f64 (*.f64 #s(literal 3/25 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (*.f64 #s(literal 759/25000 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (-.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (*.f64 #s(literal 759/25000 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))))
(-.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (*.f64 #s(literal 759/25000 binary64) x)))) (/.f64 (pow.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (*.f64 #s(literal 759/25000 binary64) x)))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(+.f64 #s(literal 253/1000 binary64) (*.f64 (neg.f64 x) #s(literal 3/25 binary64)))
(+.f64 #s(literal 253/1000 binary64) (neg.f64 (*.f64 #s(literal 3/25 binary64) x)))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))

eval105.0ms (1.7%)

Memory
6.5MiB live, 204.1MiB allocated
Compiler

Compiled 13 074 to 1 303 computations (90% saved)

prune55.0ms (0.9%)

Memory
-14.1MiB live, 148.7MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New6077614
Fresh404
Picked145
Done000
Total61211623
Accuracy
100.0%
Counts
623 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
✓99.8%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶99.8%
(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64))
▶48.3%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓99.8%
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
52.4%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 #s(literal -3/25 binary64) x))))
▶54.3%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓53.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
▶53.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
✓46.6%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 180 to 147 computations (18.3% saved)

simplify136.0ms (2.3%)

Memory
16.7MiB live, 96.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
cost-diff0
(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
cost-diff0
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
cost-diff0
(*.f64 x #s(literal -3/25 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
cost-diff0
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
cost-diff128
(neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
Rules
2 648×lower-fma.f32
2 634×lower-fma.f64
1 304×lower-*.f32
1 296×lower-*.f64
544×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040170
059170
1113170
2209169
3439166
4898166
51498166
62663166
73352166
83584166
93608166
103628166
113643166
123877166
134013166
144044166
154044166
04044164
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
(neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(*.f64 x #s(literal -3/25 binary64))
x
#s(literal -3/25 binary64)
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
#s(literal 9/625 binary64)
(*.f64 x x)
x
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
Outputs
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
(neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 x #s(literal -3/25 binary64))
(*.f64 #s(literal -3/25 binary64) x)
x
#s(literal -3/25 binary64)
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
#s(literal 9/625 binary64)
(*.f64 x x)
x
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)

localize236.0ms (3.9%)

Memory
-0.7MiB live, 233.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
accuracy0.08203125
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
accuracy0.1484375
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
accuracy15.352347433803796
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
accuracy0.109375
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
accuracy0.14453125
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy29.177922732998177
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
accuracy0.12890625
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
accuracy0.25
(*.f64 x #s(literal -3/25 binary64))
accuracy29.764573523847098
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
accuracy0.078125
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy33.481978240488395
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy0.08203125
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy0.12109375
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
accuracy0.1484375
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
accuracy0.19140625
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
Samples
214.0ms256×0valid
Compiler

Compiled 175 to 39 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 135.0ms (68.9% of total)
const: 43.0ms (21.9% of total)
ival-add: 9.0ms (4.6% of total)
ival-div: 5.0ms (2.6% of total)
ival-sub: 2.0ms (1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
-29.3MiB live, 28.2MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#s(alt (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (patch (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -3/25 binary64)) (patch (*.f64 x #s(literal -3/25 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (patch (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1000/253 x) (taylor 0 x) (#s(alt (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (patch (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -120000/64009 x) 1000/253)) (taylor 0 x) (#s(alt (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (patch (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253)) (taylor 0 x) (#s(alt (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (patch (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253)) (taylor 0 x) (#s(alt (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (patch (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 64009/1000000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 64009/1000000 (* -9/625 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 64009/1000000 (* -9/625 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 64009/1000000 (* -9/625 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 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 1 (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -253/1000 (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (taylor 0 x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) (patch (*.f64 (*.f64 x #s(literal -3/25 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -3/25 binary64)) (patch (*.f64 x #s(literal -3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -3/25 binary64)) (patch (*.f64 x #s(literal -3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -3/25 binary64)) (patch (*.f64 x #s(literal -3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -3/25 binary64)) (patch (*.f64 x #s(literal -3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 9/625 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (patch (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (patch (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (patch (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (patch (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt -25/3 (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 25/3 (* 1265/72 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (patch (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((neg (/ x (+ (* x -3/25) 253/1000))) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x -3/25) x) (* x -3/25) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (/ x (+ (* x -3/25) 253/1000)) (+ (* x -3/25) 253/1000))
2.0ms
x
@inf
((neg (/ x (+ (* x -3/25) 253/1000))) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x -3/25) x) (* x -3/25) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (/ x (+ (* x -3/25) 253/1000)) (+ (* x -3/25) 253/1000))
2.0ms
x
@0
((neg (/ x (+ (* x -3/25) 253/1000))) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x -3/25) x) (* x -3/25) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* x -3/25) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (/ x (+ (* x -3/25) 253/1000)) (+ (* x -3/25) 253/1000))

simplify130.0ms (2.2%)

Memory
35.1MiB live, 147.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 190×lower-fma.f64
10 190×lower-fma.f32
3 424×lower-*.f64
3 424×lower-*.f32
1 516×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301190
13441184
28131180
316741180
430141168
559131168
083881018
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* -1000/253 x)
(* x (- (* -120000/64009 x) 1000/253))
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253))
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
Outputs
(* -1000/253 x)
(*.f64 x #s(literal -1000/253 binary64))
(* x (- (* -120000/64009 x) 1000/253))
(*.f64 (fma.f64 #s(literal -120000/64009 binary64) x #s(literal -1000/253 binary64)) x)
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253))
(*.f64 (fma.f64 (fma.f64 #s(literal -14400000/16194277 binary64) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x)
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1728000000/4097152081 binary64) x #s(literal -14400000/16194277 binary64)) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 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)
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
(* 1000/253 x)
(*.f64 #s(literal 1000/253 binary64) x)
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 (fma.f64 #s(literal 120000/64009 binary64) x #s(literal 1000/253 binary64)) x)
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x)
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1728000000/4097152081 binary64) x #s(literal 14400000/16194277 binary64)) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x)
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
25/3
#s(literal 25/3 binary64)
(+ 25/3 (* 1265/72 (/ 1 x)))
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x) #s(literal -25/3 binary64))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2)))))
(-.f64 #s(literal 25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9/625 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 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)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* 9/625 (pow x 2))
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x) #s(literal 25/3 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
25/3
#s(literal 25/3 binary64)
(+ 25/3 (* 1265/72 (/ 1 x)))
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x) #s(literal -25/3 binary64))
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x)))
(-.f64 #s(literal 25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9/625 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 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)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* 9/625 (pow x 2))
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)) x))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x) #s(literal 25/3 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))

rewrite224.0ms (3.7%)

Memory
7.4MiB live, 237.9MiB allocated
Rules
5 186×lower-fma.f32
5 172×lower-fma.f64
5 148×lower-*.f32
5 140×lower-*.f64
4 754×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040143
059135
1261126
21994126
09336124
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 650
Calls
Call 1
Inputs
(neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(*.f64 x x)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(*.f64 x #s(literal -3/25 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64))
(*.f64 x (neg.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(*.f64 x (pow.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x))))
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(*.f64 (/.f64 (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 3/25 binary64) x) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (pow.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 3/25 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3/25 binary64)) (*.f64 (neg.f64 x) #s(literal 3/25 binary64))) (*.f64 #s(literal 253/1000 binary64) (*.f64 (neg.f64 x) #s(literal 3/25 binary64))))))
(/.f64 (+.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x)) (neg.f64 (*.f64 #s(literal 3/25 binary64) x))) (*.f64 #s(literal 253/1000 binary64) (neg.f64 (*.f64 #s(literal 3/25 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))))
(/.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(-.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))
(-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(+.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
(+.f64 #s(literal 253/1000 binary64) (*.f64 (neg.f64 x) #s(literal 3/25 binary64)))
(+.f64 #s(literal 253/1000 binary64) (neg.f64 (*.f64 #s(literal 3/25 binary64) x)))
(+.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))

eval172.0ms (2.9%)

Memory
-11.1MiB live, 207.5MiB allocated
Compiler

Compiled 19 526 to 2 244 computations (88.5% saved)

prune133.0ms (2.2%)

Memory
9.0MiB live, 179.3MiB allocated
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New9414945
Fresh112
Picked235
Done044
Total94412956
Accuracy
100.0%
Counts
956 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.4%
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))
▶61.4%
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
✓99.8%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64))
✓48.3%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓99.8%
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
▶45.2%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
✓54.3%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶3.6%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
✓53.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
✓53.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
✓46.6%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 176 to 143 computations (18.8% saved)

simplify138.0ms (2.3%)

Memory
33.1MiB live, 180.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff128
(/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
cost-diff2432
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff0
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff0
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
cost-diff0
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
cost-diff0
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
cost-diff0
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
cost-diff0
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
Rules
11 198×lower-fma.f32
11 182×lower-fma.f64
4 520×lower-+.f64
4 520×lower-+.f32
3 052×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044281
066281
1123280
2294277
31082272
43496259
08267256
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
x
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
#s(literal 9/625 binary64)
(*.f64 x x)
#s(literal -64009/1000000 binary64)
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
#s(literal 25/3 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
#s(literal 9/625 binary64)
(*.f64 x x)
x
#s(literal -64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
(neg.f64 x)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
(/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
(/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
x
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
#s(literal 9/625 binary64)
(*.f64 x x)
#s(literal -64009/1000000 binary64)
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
#s(literal 25/3 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) x)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
#s(literal 9/625 binary64)
(*.f64 x x)
x
#s(literal -64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))))
(/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
(/.f64 x (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))
(neg.f64 x)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)

localize145.0ms (2.4%)

Memory
-7.1MiB live, 231.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))
accuracy0.14453125
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy0.26953125
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
accuracy15.418654381895129
(/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
accuracy0.1484375
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy0.203125
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x)
accuracy5.969956072037787
(/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy29.177922732998177
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
accuracy0
(*.f64 x x)
accuracy0.08203125
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy0.12109375
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
accuracy29.39389774860776
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
accuracy0.109375
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
accuracy29.177922732998177
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
accuracy33.481978240488395
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy0.08203125
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
accuracy0.140625
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
accuracy0.1484375
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
accuracy15.744709558794579
(/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
Samples
88.0ms256×0valid
Compiler

Compiled 287 to 41 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
const: 23.0ms (34.8% of total)
ival-mult: 21.0ms (31.8% of total)
ival-div: 9.0ms (13.6% of total)
ival-add: 9.0ms (13.6% of total)
ival-neg: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory
8.2MiB live, 46.3MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (patch (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) (patch #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (patch (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (patch (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())
Outputs
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#s(alt (- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (patch (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) #<representation binary64>) () ())) ())
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#s(alt 253/1000 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 253/1000 (* -3/25 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 253/1000 (* -3/25 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (patch (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -253/1000 x)) (taylor 0 x) (#s(alt #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* -253/1000 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -3/25 x) 253/1000)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) (patch (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -253/1000 (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
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#s(alt 64009/1000000 (taylor 0 x) (#s(alt (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (patch (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ 1 (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000))) (+ (* (/ 1 (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000))) x) 1) (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* x -3/25) 253/1000) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (neg (/ x (+ (* x -3/25) 253/1000))) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/ (* (+ (* 9/625 (* x x)) -64009/1000000) x) (+ (* -3/25 x) 253/1000)) (* (+ (* 9/625 (* x x)) -64009/1000000) x) (+ (* 9/625 (* x x)) -64009/1000000) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) -253/1000))) 1) (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) 253/1000) (* (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) -253/1000)) (+ (* -3/25 x) -253/1000))
4.0ms
x
@-inf
((/ 1 (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000))) (+ (* (/ 1 (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000))) x) 1) (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* x -3/25) 253/1000) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (neg (/ x (+ (* x -3/25) 253/1000))) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/ (* (+ (* 9/625 (* x x)) -64009/1000000) x) (+ (* -3/25 x) 253/1000)) (* (+ (* 9/625 (* x x)) -64009/1000000) x) (+ (* 9/625 (* x x)) -64009/1000000) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) -253/1000))) 1) (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) 253/1000) (* (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) -253/1000)) (+ (* -3/25 x) -253/1000))
2.0ms
x
@0
((/ 1 (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000))) (+ (* (/ 1 (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000))) x) 1) (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* x -3/25) 253/1000) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (neg (/ x (+ (* x -3/25) 253/1000)))) 1) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (neg (/ x (+ (* x -3/25) 253/1000))) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/ (* (+ (* 9/625 (* x x)) -64009/1000000) x) (+ (* -3/25 x) 253/1000)) (* (+ (* 9/625 (* x x)) -64009/1000000) x) (+ (* 9/625 (* x x)) -64009/1000000) (+ (* (+ (* -9/625 (* x x)) 64009/1000000) (* (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) -253/1000))) 1) (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) 253/1000) (* (/ (neg x) (+ (* 9/625 (* x x)) -64009/1000000)) (+ (* -3/25 x) -253/1000)) (+ (* -3/25 x) -253/1000))

simplify144.0ms (2.4%)

Memory
-18.9MiB live, 231.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 322×lower-fma.f64
8 322×lower-fma.f32
3 332×lower-*.f64
3 332×lower-*.f32
2 002×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021580
15391572
213501567
331171562
461451538
081301349
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
-1000/253
(- (* 120000/64009 x) 1000/253)
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1000/253 x)
(* x (- (* -120000/64009 x) 1000/253))
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253))
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -64009/1000000 x)
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
(* x (- (* 9/625 (pow x 2)) 64009/1000000))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 1000000/64009 x)
(* x (+ 1000000/64009 (* 14400000000/4097152081 (pow x 2))))
(* x (+ 1000000/64009 (* (pow x 2) (+ 14400000000/4097152081 (* 207360000000000/262254607552729 (pow x 2))))))
(* x (+ 1000000/64009 (* (pow x 2) (+ 14400000000/4097152081 (* (pow x 2) (+ 207360000000000/262254607552729 (* 2985984000000000000/16786655174842630561 (pow x 2))))))))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -1000/253 x)
(* x (- (* -120000/64009 x) 1000/253))
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253))
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(/ -25/3 x)
(/ (- (* 1265/72 (/ 1 x)) 25/3) x)
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 9/625 (pow x 3))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(/ -625/9 x)
(* -1 (/ (+ 625/9 (* 1600225/5184 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 1600225/5184 (* 4097152081/2985984 (/ 1 (pow x 2)))) (pow x 2))) 625/9) x)
(/ (- (* -1 (/ (+ 4097152081/2985984 (* 262254607552729/42998169600 (/ 1 (pow x 2)))) (pow x 4))) (+ 625/9 (* 1600225/5184 (/ 1 (pow x 2))))) x)
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(/ -25/3 x)
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 9/625 (pow x 3))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(/ -625/9 x)
(* -1 (/ (+ 625/9 (* 1600225/5184 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 625/9 (+ (* 1600225/5184 (/ 1 (pow x 2))) (/ 4097152081/2985984 (pow x 4)))) x))
(* -1 (/ (+ 625/9 (+ (* 1600225/5184 (/ 1 (pow x 2))) (+ (* 262254607552729/42998169600 (/ 1 (pow x 6))) (/ 4097152081/2985984 (pow x 4))))) x))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x)))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
Outputs
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
-1000/253
#s(literal -1000/253 binary64)
(- (* 120000/64009 x) 1000/253)
(fma.f64 #s(literal 120000/64009 binary64) x #s(literal -1000/253 binary64))
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)
(fma.f64 (fma.f64 #s(literal -14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal -1000/253 binary64))
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1728000000/4097152081 binary64) x #s(literal -14400000/16194277 binary64)) x #s(literal 120000/64009 binary64)) x #s(literal -1000/253 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
1
#s(literal 1 binary64)
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(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x)
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64)) x)
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x)) x) #s(literal 25/3 binary64)) x)
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9/625 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 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)
25/3
#s(literal 25/3 binary64)
(+ 25/3 (* 1265/72 (/ 1 x)))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal 25/3 binary64))
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x)))
(-.f64 #s(literal 25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* 9/625 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9/625 binary64))
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x)
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x)
(* -1 (* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625)))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x)
(* 9/625 (pow x 2))
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(/ -625/9 x)
(/.f64 #s(literal -625/9 binary64) x)
(* -1 (/ (+ 625/9 (* 1600225/5184 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -625/9 binary64) (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x))) x)
(* -1 (/ (+ 625/9 (+ (* 1600225/5184 (/ 1 (pow x 2))) (/ 4097152081/2985984 (pow x 4)))) x))
(-.f64 (/.f64 (-.f64 #s(literal -625/9 binary64) (/.f64 #s(literal 4097152081/2985984 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 #s(literal 1600225/5184 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (+ 625/9 (+ (* 1600225/5184 (/ 1 (pow x 2))) (+ (* 262254607552729/42998169600 (/ 1 (pow x 6))) (/ 4097152081/2985984 (pow x 4))))) x))
(/.f64 (-.f64 (-.f64 #s(literal -625/9 binary64) (/.f64 #s(literal 4097152081/2985984 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 262254607552729/42998169600 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1600225/5184 binary64) (*.f64 x x)))) x)
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
25/3
#s(literal 25/3 binary64)
(+ 25/3 (* 1265/72 (/ 1 x)))
(+.f64 #s(literal 25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+.f64 (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)) x) #s(literal 25/3 binary64))
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x)))
(-.f64 #s(literal 25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))

rewrite198.0ms (3.3%)

Memory
2.1MiB live, 230.7MiB allocated
Rules
5 222×lower-*.f32
5 214×lower-*.f64
4 374×lower-/.f32
4 366×lower-/.f64
3 582×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044226
066235
1271175
22106175
08637175
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 712
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64))
(/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(*.f64 x x)
#s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)))
(*.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (+.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (*.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal 64009/1000000 binary64))))
(/.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal -1 binary64)))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #s(literal -64009/1000000 binary64)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #s(literal -64009/1000000 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -64009/1000000 binary64) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -64009/1000000 binary64) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -64009/1000000 binary64) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal -64009/1000000 binary64) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #s(literal -64009/1000000 binary64)))
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) #s(literal -64009/1000000 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))))
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
(+.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))

eval173.0ms (2.9%)

Memory
-16.5MiB live, 267.9MiB allocated
Compiler

Compiled 27 902 to 2 844 computations (89.8% saved)

prune133.0ms (2.2%)

Memory
34.0MiB live, 232.0MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1 16551 170
Fresh000
Picked415
Done077
Total1 169131 182
Accuracy
100.0%
Counts
1 182 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.4%
(fma.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
72.8%
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) #s(approx (+ (* -3/25 x) -253/1000) (*.f64 x #s(literal -3/25 binary64)))) #s(literal 1 binary64))
✓99.8%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
98.1%
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000)) (/.f64 #s(literal -25/3 binary64) x))) x #s(literal 1 binary64))
98.2%
(fma.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
✓48.3%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓99.8%
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
54.2%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x)))
✓54.3%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓3.6%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
✓53.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
✓53.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
✓46.6%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 398 to 185 computations (53.5% saved)

regimes49.0ms (0.8%)

Memory
2.7MiB live, 41.2MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 #s(literal -3/25 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) #s(approx (neg (/ x (+ (* x -3/25) 253/1000))) #s(literal 25/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -3/25) 253/1000) (+ (* 9/625 (* x x)) -64009/1000000)) (/.f64 #s(literal -25/3 binary64) x))) x #s(literal 1 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 #s(literal -3/25 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (neg.f64 (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))))))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) #s(approx (+ (* -3/25 x) -253/1000) (*.f64 x #s(literal -3/25 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Calls

3 calls:

34.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
7.0ms
x
6.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
99.8%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes14.0ms (0.2%)

Memory
-15.7MiB live, 21.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
Calls

3 calls:

7.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
3.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
98.9%3x
98.9%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
98.9%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes6.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x))
Calls

2 calls:

3.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
98.6%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
98.6%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes10.0ms (0.2%)

Memory
-20.8MiB live, 15.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
Calls

3 calls:

5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
2.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
2.0ms
x
Results
AccuracySegmentsBranch
48.3%1x
48.3%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
48.3%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes5.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Accuracy

Total -28.4b remaining (-83.1%)

Threshold costs -28.4b (-83.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
46.6%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
46.6%1x
46.6%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.112941687860761e-13
13.851275568207601
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.112941687860761e-13
13.851275568207601
Compiler

Compiled 12 to 12 computations (0% saved)

simplify28.0ms (0.5%)

Memory
-14.9MiB live, 59.4MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative-binary64-*.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
2×+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027111
136111
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)))
(if (<=.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

soundness805.0ms (13.5%)

Memory
12.1MiB live, 411.8MiB allocated
Rules
5 470×lower-fma.f32
5 458×lower-fma.f64
5 044×lower-fma.f64
5 044×lower-fma.f32
4 646×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025106
041104
1191104
21620104
08452102
035254
193254
2217248
3501248
41018248
52396248
64106248
75204248
86491248
97542248
08017215
0824
01224
15524
242824
3432024
0827020
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 103 to 63 computations (38.8% saved)

preprocess345.0ms (5.8%)

Memory
-179.1MiB live, 135.7MiB allocated
Compiler

Compiled 132 to 62 computations (53% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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