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

Time bar (total: 5.7s)

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)

sample1.5s (25.7%)

Memory
9.0MiB live, 1 205.3MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 673.0ms
const: 339.0ms (50.4% of total)
ival-mult: 237.0ms (35.2% of total)
ival-add: 45.0ms (6.7% of total)
ival-sub: 38.0ms (5.6% of total)
ival-true: 5.0ms (0.7% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain93.0ms (1.6%)

Memory
4.0MiB live, 245.6MiB 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
40.0ms512×0valid
Compiler

Compiled 97 to 50 computations (48.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
const: 13.0ms (48.9% of total)
ival-mult: 9.0ms (33.9% of total)
ival-sub: 2.0ms (7.5% of total)
ival-add: 2.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess40.0ms (0.7%)

Memory
-12.8MiB live, 65.9MiB 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.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)

simplify19.0ms (0.3%)

Memory
4.2MiB live, 43.7MiB 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)

localize31.0ms (0.5%)

Memory
-9.9MiB live, 74.0MiB 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)))))
accuracy0.0078125
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy0.11328125
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
accuracy0.21484375
(*.f64 x #s(literal 3/25 binary64))
Samples
25.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
const: 7.0ms (37.2% of total)
ival-mult: 6.0ms (31.9% of total)
ival-sub: 4.0ms (21.3% of total)
ival-add: 1.0ms (5.3% 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
10.4MiB live, 10.4MiB 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))

simplify130.0ms (2.3%)

Memory
12.0MiB live, 169.8MiB 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)

rewrite161.0ms (2.8%)

Memory
-12.4MiB live, 303.9MiB 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)))

eval57.0ms (1%)

Memory
20.2MiB live, 140.4MiB allocated
Compiler

Compiled 7 090 to 955 computations (86.5% saved)

prune44.0ms (0.8%)

Memory
-28.6MiB live, 131.2MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3578365
Fresh000
Picked011
Done000
Total3579366
Accuracy
100.0%
Counts
366 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶99.9%
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
▶92.0%
(-.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 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))))
✓99.9%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
49.5%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
52.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
▶48.2%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 141 to 120 computations (14.9% saved)

simplify134.0ms (2.3%)

Memory
17.5MiB live, 95.8MiB 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
(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))
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 -253/1000 binary64) x #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff320
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #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
1 010×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025127
040129
178125
2149121
3269121
4556121
51089121
61624121
72887121
83765121
93817121
103822121
113827121
123827121
133943121
143986121
153986121
163986121
03986120
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
#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 (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)
(-.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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #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 x x)
x
#s(literal -3/25 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
#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)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(*.f64 #s(literal -3/25 binary64) (*.f64 x x))
(*.f64 x x)
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))
(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)
(-.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 #s(literal -3/25 binary64) x #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 #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)
(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)

localize87.0ms (1.5%)

Memory
-19.8MiB live, 218.8MiB 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))
accuracy0.125
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy0.21875
(*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) x)
accuracy5.275675636003482
(/.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)))
accuracy0.078125
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy0.125
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy0
(*.f64 x x)
accuracy0.1484375
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
accuracy30.797564756724967
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
accuracy33.14682295337964
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy0
(*.f64 x x)
accuracy0.0390625
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
accuracy0.07421875
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
Samples
60.0ms256×0valid
Compiler

Compiled 134 to 29 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 16.0ms (36.3% of total)
const: 16.0ms (36.3% of total)
ival-add: 8.0ms (18.2% of total)
ival-div: 2.0ms (4.5% of total)
ival-sub: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
33.9MiB live, 33.9MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 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 (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 (-.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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 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>) () ())) ())
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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 (* 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
((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -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) (+ (* -3/25 x) 253/1000))
2.0ms
x
@inf
((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -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) (+ (* -3/25 x) 253/1000))
2.0ms
x
@0
((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -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) (+ (* -3/25 x) 253/1000))

simplify119.0ms (2.1%)

Memory
-4.5MiB live, 193.2MiB allocated
Algorithm
1×egg-herbie
Rules
4 130×lower-fma.f64
4 130×lower-fma.f32
3 266×lower-*.f64
3 266×lower-*.f32
1 424×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063946
1172936
2450916
31090916
42390916
54035916
65937916
77683916
08150787
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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
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))
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)))
(* 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -253/1000 x)
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* -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))
(* -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))
(* (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -253/1000 x)
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 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))
(* -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))
(* (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))
(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 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 #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))
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))
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))
(* 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))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) x)
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) x)
(* x (+ 64009/1000000 (* -9/625 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) x)
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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (/ 1 x) 253/1000))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 #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))
(* -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))
(* -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 #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))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) x)
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) x)
(* (pow x 3) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) 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) (- (* 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))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 #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))
(* -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))
(* -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 #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))))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) x)
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) x)
(* -1 (* (pow x 3) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) 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) (- (* 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))

rewrite171.0ms (3%)

Memory
-19.6MiB live, 295.5MiB allocated
Rules
5 264×lower-fma.f32
5 252×lower-fma.f64
4 618×lower-*.f32
4 612×lower-*.f64
4 080×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025104
040106
1189102
21614102
08428100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 409
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 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))
(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))
(-.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.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)) (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 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (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)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.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)))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))))) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 3 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 #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 (pow.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) #s(literal 3 binary64))) (fma.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 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (fma.f64 (/.f64 #s(literal 64009/1000000 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 (*.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 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 #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 #s(literal 9/625 binary64) (*.f64 x x) (*.f64 #s(literal 759/25000 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 #s(literal 9/625 binary64) (*.f64 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 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(/.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 #s(literal 9/625 binary64) (*.f64 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 #s(literal 9/625 binary64) (*.f64 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 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #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 #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 (-.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))) (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 (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 #s(literal 9/625 binary64) (*.f64 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 #s(literal 9/625 binary64) (*.f64 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 #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 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 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 #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))

eval75.0ms (1.3%)

Memory
22.2MiB live, 176.0MiB allocated
Compiler

Compiled 12 810 to 1 272 computations (90.1% saved)

prune80.0ms (1.4%)

Memory
-5.3MiB live, 169.2MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New5965601
Fresh213
Picked145
Done101
Total60010610
Accuracy
100.0%
Counts
610 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(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 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
▶99.9%
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
✓99.9%
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
▶49.5%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
99.8%
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))))
▶52.8%
#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))
✓51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
▶51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
✓48.2%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 134 to 113 computations (15.7% saved)

simplify144.0ms (2.5%)

Memory
-9.8MiB live, 65.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) 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 #s(literal -3/25 binary64) x)
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
cost-diff128
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
Rules
2 648×lower-fma.f32
2 636×lower-fma.f64
1 304×lower-*.f32
1 296×lower-*.f64
940×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038143
055141
1100141
2176139
3308137
4600137
51131137
61665137
72761137
83614137
93698137
103721137
113743137
123752137
133862137
143941137
153960137
163960137
173960137
03960137
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
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 (+ (* -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 #s(literal -3/25 binary64) x) x))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 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))
(*.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 #s(literal -3/25 binary64) x #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 #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 #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 (*.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))
(-.f64 (*.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 #s(literal -3/25 binary64) x)
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
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 (+ (* -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 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 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))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) 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))
#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 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #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 #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 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)
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)
#s(literal 1 binary64)

localize112.0ms (2%)

Memory
-8.9MiB live, 188.9MiB allocated
Localize:

Found 15 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 #s(literal -3/25 binary64) x #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))
accuracy0.125
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy15.248798525874617
(/.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)))
accuracy0.11328125
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
accuracy0.125
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy30.115060887772064
#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))
accuracy0.13671875
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
accuracy0.21484375
(*.f64 #s(literal -3/25 binary64) x)
accuracy30.797564756724967
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
accuracy0.078125
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy32.475928736786116
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy0.0078125
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
accuracy0.078125
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
accuracy0.21484375
(*.f64 #s(literal -3/25 binary64) x)
Samples
90.0ms256×0valid
Compiler

Compiled 142 to 36 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
const: 40.0ms (53.6% of total)
ival-mult: 19.0ms (25.5% of total)
ival-add: 8.0ms (10.7% of total)
ival-sub: 3.0ms (4% of total)
ival-div: 3.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) 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 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #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 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.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))) #<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(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 -253/1000 (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.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 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3/25 binary64) x) (patch (*.f64 #s(literal -3/25 binary64) 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 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) 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 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) 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 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) 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 #s(literal -3/25 binary64) x) x)) (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* -3/25 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (patch (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #<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 (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 (* -253/1000 x)) (taylor 0 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 (* x (- (* -3/25 x) 253/1000))) (taylor 0 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 (* x (- (* -3/25 x) 253/1000))) (taylor 0 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 (* -253/1000 x) (taylor 0 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 (* x (- (* -3/25 x) 253/1000)) (taylor 0 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 (* x (- (* -3/25 x) 253/1000)) (taylor 0 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 (* x (- (* -3/25 x) 253/1000)) (taylor 0 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 -253/1000 (taylor 0 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 x) 253/1000) (taylor 0 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>) () ())) ())
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#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 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.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))) #<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 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.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))) #<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 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.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))) #<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 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.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))) #<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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -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
2.0ms
x
@inf
((- (* -3/25 x) 253/1000) (+ (* (- (* -3/25 x) 253/1000) x) 1) (* -3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (- 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) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (* x x) (+ (* -3/25 x) 253/1000))
2.0ms
x
@-inf
((- (* -3/25 x) 253/1000) (+ (* (- (* -3/25 x) 253/1000) x) 1) (* -3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (- 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) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (* x x) (+ (* -3/25 x) 253/1000))
1.0ms
x
@0
((- (* -3/25 x) 253/1000) (+ (* (- (* -3/25 x) 253/1000) x) 1) (* -3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (- 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) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (* x x) (+ (* -3/25 x) 253/1000))

simplify141.0ms (2.5%)

Memory
-22.5MiB live, 175.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 578×lower-fma.f64
5 578×lower-fma.f32
3 110×lower-*.f64
3 110×lower-*.f32
1 440×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045962
1121962
2344962
3789962
41442962
53189962
65129962
76393962
87725962
08056824
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
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)))
(* -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
(- (* -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))
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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 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)
(* -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)
(* -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 (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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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 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)
(* -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)
(* -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 (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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(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)))))
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))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 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))
-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))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #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 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))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x)
-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))
-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))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #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)
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))
(* -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 #s(literal -3/25 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)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #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 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 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)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #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 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -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 #s(literal -3/25 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)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #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 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 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)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #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 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 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)
(* -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 #s(literal -3/25 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)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #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 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -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))
(* 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))
(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 x)
(*.f64 x #s(literal -3/25 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(* -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 #s(literal -3/25 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)
(* (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 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 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)
(* (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 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 #s(literal -3/25 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)
(* (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 #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 binary64)) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x #s(literal -3/25 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)
(* (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 #s(literal -3/25 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)
(* -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 #s(literal -3/25 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)
(* (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 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))
(* 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))
(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 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))

rewrite189.0ms (3.3%)

Memory
17.7MiB live, 292.7MiB allocated
Rules
5 990×lower-fma.f32
5 980×lower-fma.f64
5 106×lower-*.f32
5 098×lower-*.f64
4 824×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038122
055106
1231104
21949104
09223103
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 730
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 binary64) 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 #s(literal -3/25 binary64) x) x))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) 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))
(*.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 #s(literal -3/25 binary64) x #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 #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 x x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (/.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)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) (fma.f64 x #s(literal -759/25000 binary64) #s(literal 64009/1000000 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (/.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)))) (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 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (/.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)))) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -1 binary64)))
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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 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) (/.f64 (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)) (pow.f64 (fma.f64 x #s(literal -3/25 binary64) #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 (*.f64 x x) #s(literal 9/625 binary64) #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 (/.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) (fma.f64 x #s(literal -759/25000 binary64) #s(literal 64009/1000000 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 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 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 x #s(literal -3/25 binary64) #s(literal 253/1000 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 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #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 (*.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 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 (*.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)))
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))) #s(literal -1 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))
(/.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 #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 (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 (*.f64 x x) #s(literal 9/625 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))))
(/.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 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (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 #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 (*.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 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (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 (*.f64 x x) #s(literal 9/625 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #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 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 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 (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)))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) (fma.f64 #s(literal 3/25 binary64) x #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 (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 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))))
(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 #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 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 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))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 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))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (-.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #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 (*.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 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 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 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (neg.f64 (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 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 #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)))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))

eval111.0ms (1.9%)

Memory
32.2MiB live, 222.6MiB allocated
Compiler

Compiled 18 512 to 1 667 computations (91% saved)

prune75.0ms (1.3%)

Memory
-28.6MiB live, 167.9MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New9204924
Fresh101
Picked235
Done044
Total92311934
Accuracy
100.0%
Counts
934 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(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 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
▶60.1%
(fma.f64 (/.f64 (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)))) x #s(literal 1 binary64))
✓99.9%
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
✓49.5%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓52.8%
#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))
▶52.8%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x))
▶3.4%
#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))
✓51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
✓51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
✓48.2%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 83 to 71 computations (14.5% saved)

simplify281.0ms (4.9%)

Memory
0.2MiB live, 123.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 9/625 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff0
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #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
(/.f64 (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))))
cost-diff0
(fma.f64 (/.f64 (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)))) x #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(literal -3/25 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)
cost-diff0
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x))
cost-diff128
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 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))
Rules
3 864×lower-fma.f32
3 854×lower-fma.f64
1 976×lower-*.f32
1 966×lower-*.f64
836×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035188
053188
189188
2130188
3211184
4424184
5883184
61507184
72375184
83872184
94779184
105287184
115353184
125374184
135381184
145761184
155921184
165921184
175921184
185953184
195968184
205968184
215968184
225974184
05974178
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#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
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x))
(*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(*.f64 x #s(literal -3/25 binary64))
x
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 (/.f64 (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)))) x #s(literal 1 binary64))
(/.f64 (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))))
(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 (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (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))
(*.f64 #s(literal 9/625 binary64) x)
#s(literal 9/625 binary64)
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)
#s(literal 1 binary64)
Outputs
#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
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #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))
(*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(-.f64 (*.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 x #s(literal -3/25 binary64))
(*.f64 #s(literal -3/25 binary64) x)
x
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 (/.f64 (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)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
(/.f64 (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))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 #s(literal -3/25 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)
#s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))
#s(approx (+ (* -3/25 x) 253/1000) (*.f64 #s(literal -3/25 binary64) x))
(*.f64 x #s(literal -3/25 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 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 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 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)))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(*.f64 #s(literal 9/625 binary64) x)
#s(literal 9/625 binary64)
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)
#s(literal 1 binary64)

localize102.0ms (1.8%)

Memory
18.9MiB live, 178.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
accuracy0.125
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy0.171875
(*.f64 #s(literal 9/625 binary64) x)
accuracy15.248798525874617
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy0.08203125
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
accuracy0.21484375
(*.f64 x #s(literal -3/25 binary64))
accuracy15.248798525874617
(/.f64 (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))))
accuracy30.56736009188807
#s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))
accuracy0.0078125
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
accuracy0.11328125
(*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)
accuracy0.21484375
(*.f64 x #s(literal -3/25 binary64))
accuracy30.115060887772064
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x))
accuracy0.11328125
(*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
accuracy30.115060887772064
#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))
accuracy32.475928736786116
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
Samples
80.0ms256×0valid
Compiler

Compiled 172 to 35 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 25.0ms (40.7% of total)
const: 23.0ms (37.5% of total)
ival-add: 7.0ms (11.4% of total)
ival-div: 4.0ms (6.5% of total)
ival-sub: 2.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-15.9MiB live, 22.7MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#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 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) (patch (-.f64 (*.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 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x) (patch (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 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 (fma.f64 (/.f64 (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)))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (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)))) 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)) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))) (patch (/.f64 (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)))) #<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 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (patch (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 9/625 binary64) x) (patch (*.f64 #s(literal 9/625 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64))) (patch #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 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 #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>) () ())) ())
#s(alt (+ 1 (* x (- (* -3/25 x) 253/1000))) (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 (* x (- (* -3/25 x) 253/1000))) (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 (* -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>) () ())) ())
#s(alt -253/1000 (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) (patch (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/25 x) 253/1000) (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) (patch (-.f64 (*.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 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #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 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)) (patch #s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* -3/25 x) (taylor -inf x) (#s(alt #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64))) (patch #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 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) (*.f64 x #s(literal -3/25 binary64))) (patch #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 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) (*.f64 x #s(literal -3/25 binary64))) (patch #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 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) (*.f64 x #s(literal -3/25 binary64))) (patch #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 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
2.0ms
x
@inf
((- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- (* x -3/25) 253/1000) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (- (* x -3/25) 253/1000) x) (* x -3/25) (+ (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (* x x) (+ (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (* 9/625 x) (+ (* -3/25 x) 253/1000) (+ (* -3/25 x) 253/1000))
2.0ms
x
@-inf
((- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- (* x -3/25) 253/1000) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (- (* x -3/25) 253/1000) x) (* x -3/25) (+ (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (* x x) (+ (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (* 9/625 x) (+ (* -3/25 x) 253/1000) (+ (* -3/25 x) 253/1000))
1.0ms
x
@0
((- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- (* x -3/25) 253/1000) (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (* (- (* x -3/25) 253/1000) x) (* x -3/25) (+ (* (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* 9/625 (* x x)) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* 9/625 (* x x)) -64009/1000000) (* x x) (+ (* (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) x) 1) (/ (+ (* (* 9/625 x) x) -64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* (* 9/625 x) x) -64009/1000000) (* 9/625 x) (+ (* -3/25 x) 253/1000) (+ (* -3/25 x) 253/1000))

simplify163.0ms (2.8%)

Memory
0.7MiB live, 116.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 578×lower-fma.f64
5 578×lower-fma.f32
3 110×lower-*.f64
3 110×lower-*.f32
1 440×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0461056
11231056
23461056
37831056
414371056
531761056
651261056
764031056
877331056
08061906
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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 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)
-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 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -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
(- (* -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)
(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)
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
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 (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 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)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (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 (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)))))
(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)))))
(* 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)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 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 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 (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 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)
(* -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)
(* -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)))))
(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)))))
(* 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)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 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 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 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))
-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 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)
(* -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
#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 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(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))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 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))
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 (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)
(* -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 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)
(* -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)
(* -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)
(* -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 (*.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (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)
(* -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))
(* 9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* -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 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 (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)
(* -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 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)
(* -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)
(* -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)
(* -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 (*.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (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)
(* -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))
(* 9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 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 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))

rewrite209.0ms (3.6%)

Memory
12.6MiB live, 199.7MiB allocated
Rules
6 062×lower-fma.f32
6 052×lower-fma.f64
4 920×lower-*.f32
4 910×lower-*.f64
4 792×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035169
053163
1224157
21478157
08436147
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 521
Calls
Call 1
Inputs
#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))
(-.f64 (*.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 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x))
(*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x)
(*.f64 x #s(literal -3/25 binary64))
(fma.f64 (/.f64 (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)))) x #s(literal 1 binary64))
(/.f64 (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))))
(fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))
(*.f64 x x)
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (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))
(*.f64 #s(literal 9/625 binary64) x)
#s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
Outputs
#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)
(*.f64 x #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9/625 binary64) #s(literal -64009/1000000 binary64)) (/.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)))) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64)))
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(/.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 #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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) 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 64009/1000000 binary64) (-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (-.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)) (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) (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 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) 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 (*.f64 #s(literal 9/625 binary64) x) x #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) 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))

eval394.0ms (6.9%)

Memory
-181.1MiB live, 201.8MiB allocated
Compiler

Compiled 15 534 to 1 615 computations (89.6% saved)

prune79.0ms (1.4%)

Memory
25.5MiB live, 185.2MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New7372739
Fresh000
Picked224
Done077
Total73911750
Accuracy
100.0%
Counts
750 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
60.0%
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))) x #s(literal 1 binary64))
98.1%
(fma.f64 (/.f64 #s(approx (+ (* 9/625 (* x x)) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))) x #s(literal 1 binary64))
✓99.9%
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
✓49.5%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓52.8%
#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))
✓52.8%
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x))
✓3.4%
#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))
✓51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
✓51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
✓48.2%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 267 to 136 computations (49.1% saved)

regimes21.0ms (0.4%)

Memory
-2.7MiB live, 41.1MiB allocated
Counts
20 → 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 #s(literal -3/25 binary64) x) 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))
#s(approx (- 1 (/ (* (+ (* -9/625 (* x x)) 64009/1000000) x) (+ (* -3/25 x) 253/1000))) (*.f64 (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)) x))
(fma.f64 (-.f64 (*.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 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* 9/625 (* x x)) -64009/1000000) (*.f64 (*.f64 x x) #s(literal 9/625 binary64))) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (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)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) #s(approx (+ (* -3/25 x) 253/1000) (*.f64 x #s(literal -3/25 binary64)))) x #s(literal 1 binary64))
(fma.f64 (/.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))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (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 (fma.f64 (*.f64 #s(literal 9/625 binary64) 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) (/.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))))
Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Calls

3 calls:

9.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
6.0ms
x
5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
99.9%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)

regimes99.0ms (1.7%)

Memory
-25.1MiB live, 13.3MiB 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 #s(literal -3/25 binary64) x) 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:

92.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
3.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
3.0ms
x
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)

regimes5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB 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 #s(literal -3/25 binary64) x) 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 #s(literal -3/25 binary64) x) 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
98.2%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
98.2%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)

regimes7.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB 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:

2.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
2.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
49.5%1x
49.5%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
49.5%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
9.5MiB live, 9.6MiB allocated
Accuracy

Total -29.5b remaining (-89.1%)

Threshold costs -29.5b (-89.1%)

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
48.2%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
48.2%1x
48.2%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
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.029938560514587757
118.57456156241126
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.029938560514587757
118.57456156241126
Compiler

Compiled 12 to 12 computations (0% saved)

simplify24.0ms (0.4%)

Memory
1.5MiB live, 39.7MiB 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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 #s(literal -3/25 binary64) x) 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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 3602879701896397/72057594037927936 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 #s(literal -3/25 binary64) x) x)))
(if (<=.f64 (*.f64 (+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 3602879701896397/72057594037927936 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))

soundness790.0ms (13.8%)

Memory
-23.5MiB live, 375.3MiB allocated
Rules
5 264×lower-fma.f32
5 252×lower-fma.f64
5 044×lower-fma.f64
5 044×lower-fma.f32
4 618×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15524
242824
3432024
0827020
035254
193254
2217248
3501248
41018248
52396248
64106248
75204248
86491248
97542248
08017215
025104
040106
1189102
21614102
08428100
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)

preprocess33.0ms (0.6%)

Memory
16.0MiB live, 92.8MiB allocated
Compiler

Compiled 132 to 62 computations (53% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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