Data.Colour.CIE:cieLABView from colour-2.3.3, A

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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 11 computations (0% saved)

sample1.1s (14.8%)

Memory
-106.5MiB live, 1 107.0MiB allocated
Samples
795.0ms8 251×0valid
0.0ms4×1valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 568.0ms
ival-div: 424.0ms (74.6% of total)
ival-mult: 72.0ms (12.7% of total)
ival-add: 47.0ms (8.3% of total)
exact: 14.0ms (2.5% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain240.0ms (3.3%)

Memory
5.5MiB live, 82.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 108 binary64)
00-0-(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
00-0-#s(literal 841 binary64)
00-0-(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
00-0-(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
00-0-#s(literal 29 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
102.0ms512×0valid
Compiler

Compiled 64 to 31 computations (51.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-div: 82.0ms (92.1% of total)
ival-mult: 3.0ms (3.4% of total)
ival-add: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess20.0ms (0.3%)

Memory
-4.9MiB live, 33.0MiB allocated
Algorithm
1×egg-herbie
Rules
22×distribute-lft-neg-in
16×sub-neg
14×associate--r+
14×associate-+l-
14×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12710
25810
310310
414010
515310
616110
095
0155
1175
0174
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Compiler

Compiled 10 to 9 computations (10% saved)

simplify4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
cost-diff128
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
cost-diff704
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
cost-diff704
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
Rules
4×lift-/.f64
4×lower-fma.f64
4×lower-fma.f32
4×lower-*.f32
4×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
01515
11715
01714
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4 binary64)
#s(literal 29 binary64)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841/108 binary64)
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4/29 binary64)
#s(literal 4 binary64)
#s(literal 29 binary64)

localize25.0ms (0.4%)

Memory
0.1MiB live, 44.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy0
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy0.01171875
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy0.15625
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Samples
17.0ms256×0valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 6.0ms (64.7% of total)
ival-mult: 2.0ms (21.6% of total)
ival-add: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) (patch (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) (patch (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (* (/ 841 108) x) (/ 4 29))
0.0ms
x
@0
(* (/ 841 108) x)
0.0ms
x
@-inf
(* (/ 841 108) x)
0.0ms
x
@inf
(* (/ 841 108) x)
0.0ms
x
@0
(+ (* (/ 841 108) x) (/ 4 29))

simplify31.0ms (0.4%)

Memory
-25.4MiB live, 13.4MiB allocated
Algorithm
1×egg-herbie
Rules
44×lower-*.f64
44×lower-*.f32
16×lower-fma.f64
16×lower-fma.f32
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01088
12488
23788
34988
44988
56488
67088
77488
87488
07479
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)

rewrite391.0ms (5.4%)

Memory
-20.9MiB live, 476.9MiB allocated
Rules
10 628×lower-fma.f64
10 628×lower-fma.f32
4 272×lower-/.f64
4 272×lower-/.f32
4 234×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
01510
13210
215710
3121910
083809
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 221
Calls
Call 1
Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
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eval29.0ms (0.4%)

Memory
29.1MiB live, 67.3MiB allocated
Compiler

Compiled 7 005 to 638 computations (90.9% saved)

prune65.0ms (0.9%)

Memory
-1.1MiB live, 81.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2378245
Fresh000
Picked101
Done000
Total2388246
Accuracy
100.0%
Counts
246 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
99.6%
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶99.8%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
78.0%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
▶78.0%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
50.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
▶49.8%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 164 to 124 computations (24.4% saved)

simplify39.0ms (0.5%)

Memory
-26.2MiB live, 12.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
cost-diff0
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
cost-diff320
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff0
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Rules
242×lower-*.f32
236×lower-*.f64
100×lower-fma.f32
90×associate-*l*
88×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032120
050116
173114
2108114
3158114
4203114
5247114
6261114
7274114
0274114
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
#s(literal 841/108 binary64)
x
#s(literal 4/29 binary64)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(literal 841/108 binary64)
x
#s(literal 4/29 binary64)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)

localize202.0ms (2.8%)

Memory
29.0MiB live, 153.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
accuracy0.16796875
(*.f64 x #s(literal 707281/11664 binary64))
accuracy0.19921875
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
accuracy0.29820253907376804
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy0.05859375
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
accuracy0.11328125
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
accuracy0.171875
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy14.068767521594557
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
accuracy0.09765625
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.15625
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
accuracy0.1640625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
accuracy32.09992366989187
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy0.09765625
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Samples
162.0ms250×0valid
7.0ms2×2valid
2.0ms4×1valid
Compiler

Compiled 141 to 38 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
const: 115.0ms (74.2% of total)
ival-div: 17.0ms (11% of total)
ival-mult: 14.0ms (9% of total)
ival-add: 8.0ms (5.2% of total)
exact: 1.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
-10.6MiB live, 26.3MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (* 841/108 x) 4/29) (taylor 0 x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 4/29 (/ 1 x)) 841/108)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 4/29 (/ 1 x)) 841/108)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 4/29 (/ 1 x)) 841/108)) (taylor inf x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1728/707281 x) (taylor inf x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) (taylor inf x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) (taylor inf x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1728/707281 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
Calls

45 calls:

TimeVariablePointExpression
9.0ms
x
@0
(* (+ (* (* x x) -707281/11664) 16/841) (/ 1 (+ (* x -841/108) 4/29)))
2.0ms
x
@inf
(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@0
(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@-inf
(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@-inf
(* (+ (* (* x x) -707281/11664) 16/841) (/ 1 (+ (* x -841/108) 4/29)))

simplify556.0ms (7.7%)

Memory
-6.9MiB live, 221.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 312×lower-fma.f64
8 312×lower-fma.f32
2 840×lower-*.f64
2 840×lower-*.f32
2 028×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0194998
1517980
21157970
32384966
45250954
08367849
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
29/4
(+ 29/4 (* 707281/1728 x))
(+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))
(+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)
(/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
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(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)

rewrite570.0ms (7.9%)

Memory
13.6MiB live, 718.7MiB allocated
Rules
9 682×lower-fma.f32
9 670×lower-fma.f64
3 976×lower-/.f32
3 966×lower-/.f64
3 838×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03295
05070
118270
2122370
0915070
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 2 032
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
Outputs
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 x) #s(literal -841/108 binary64)))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (neg.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 x #s(literal 707281/11664 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 x #s(literal 707281/11664 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))) (/.f64 #s(literal -64/24389 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(-.f64 (/.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal -16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal -16/841 binary64)))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
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(/.f64 (+.f64 #s(literal 64/24389 binary64) (pow.f64 (neg.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 841/108 binary64))) (neg.f64 (*.f64 x #s(literal 841/108 binary64)))) (*.f64 #s(literal 4/29 binary64) (neg.f64 (*.f64 x #s(literal 841/108 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (neg.f64 (*.f64 x #s(literal 841/108 binary64))) (neg.f64 (*.f64 x #s(literal 841/108 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(/.f64 (-.f64 #s(literal 64/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) (fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 841/108 binary64))) (neg.f64 (*.f64 x #s(literal 841/108 binary64))))) (-.f64 #s(literal 4/29 binary64) (neg.f64 (*.f64 x #s(literal 841/108 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 841/108 binary64))) (neg.f64 (*.f64 x #s(literal 841/108 binary64)))) #s(literal 16/841 binary64)) (-.f64 (neg.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(pow.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))))
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1/2 binary64)))

eval454.0ms (6.3%)

Memory
33.3MiB live, 651.9MiB allocated
Compiler

Compiled 64 922 to 3 099 computations (95.2% saved)

prune198.0ms (2.8%)

Memory
-5.4MiB live, 346.3MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2 28372 290
Fresh213
Picked325
Done000
Total2 288102 298
Accuracy
100.0%
Counts
2 298 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶99.6%
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
96.2%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
▶96.3%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓99.8%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
78.0%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
50.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
▶28.0%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
▶50.3%
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
✓49.8%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 204 to 150 computations (26.5% saved)

simplify269.0ms (3.7%)

Memory
-7.0MiB live, 229.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
cost-diff0
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
cost-diff0
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
cost-diff1088
(/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
cost-diff0
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
cost-diff0
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
cost-diff0
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
cost-diff0
(*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x)
cost-diff0
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
Rules
6 580×lower-*.f32
6 570×lower-*.f64
3 322×lower-/.f32
3 312×lower-/.f64
2 364×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039213
060203
196203
2141203
3192203
4278203
5477200
6640200
7752200
8889200
91475200
102897200
113398200
123783200
134333200
145109200
155455200
165703200
175923200
186124200
196325200
207534200
08072199
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x)
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
x
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(literal 707281/11664 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
#s(literal 108/841 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
x
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 707281/11664 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
Outputs
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x)
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
x
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(literal 707281/11664 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
#s(literal 108/841 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
x
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)

localize454.0ms (6.3%)

Memory
-26.0MiB live, 174.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy0.19921875
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
accuracy0.28515625
(/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy0.2982025390737681
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy0.16796875
(*.f64 x #s(literal 707281/11664 binary64))
accuracy0.19921875
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
accuracy0.2982025390737681
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy31.762100319196964
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
accuracy0.05859375
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
accuracy0.29296875
(/.f64 #s(literal -108/841 binary64) x)
accuracy14.068767521594557
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
accuracy31.96513789218242
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
accuracy0.15625
(*.f64 #s(literal 841/108 binary64) x)
accuracy31.699506275798093
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
accuracy0.11328125
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy0.15234375
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
accuracy0.171875
(*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x)
accuracy0.2982025390737681
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
Samples
310.0ms250×0valid
2.0ms4×1valid
2.0ms2×2valid
Compiler

Compiled 222 to 41 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
const: 26.0ms (38.5% of total)
ival-mult: 16.0ms (23.7% of total)
ival-div: 14.0ms (20.7% of total)
ival-add: 10.0ms (14.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) (patch (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x)) (patch #s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 841/108 binary64) x) (patch (*.f64 #s(literal 841/108 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) (patch #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (patch #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (patch (fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -29/4 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) (patch (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* -707281/1728 x) 29/4)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) (patch (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) (patch (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #<representation binary64>) () ())) ())
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Calls

51 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ -108/841 x)
0.0ms
x
@inf
(/ -108/841 x)
0.0ms
x
@-inf
(/ -108/841 x)
0.0ms
x
@inf
(+ (* (* (/ x (+ (* x 841/108) -4/29)) x) 707281/11664) (/ 16/841 (+ (* x -841/108) 4/29)))
0.0ms
x
@-inf
(* (/ x (+ (* x 841/108) -4/29)) x)

simplify205.0ms (2.9%)

Memory
24.3MiB live, 340.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 514×lower-fma.f64
9 514×lower-fma.f32
3 134×lower-*.f64
3 134×lower-*.f32
2 924×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731122
14541114
210471090
322261082
444671054
08104955
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -29/4 (pow x 2))
(* (pow x 2) (- (* -707281/1728 x) 29/4))
(* (pow x 2) (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* (pow x 2) (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(* 108/841 x)
(* x (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* x (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))))
(* x (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))))
(* 108/841 x)
(* x (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)))
(* -1 (* x (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)))
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
29/4
(+ 29/4 (* 707281/1728 x))
(+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))
(+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)
(/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -29/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal -29/4 binary64)))
(* (pow x 2) (- (* -707281/1728 x) 29/4))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64))))
(* (pow x 2) (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* (pow x 2) (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64))))
(* 108/841 x)
(*.f64 x #s(literal 108/841 binary64))
(* x (+ 108/841 (* 46656/20511149 (/ 1 x))))
(fma.f64 x #s(literal 108/841 binary64) #s(literal 46656/20511149 binary64))
(* x (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))))
(+.f64 #s(literal 46656/20511149 binary64) (fma.f64 x #s(literal 108/841 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)))
(* x (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))))
(+.f64 #s(literal 46656/20511149 binary64) (fma.f64 x #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)))
(* 108/841 x)
(*.f64 x #s(literal 108/841 binary64))
(* x (+ 108/841 (* 46656/20511149 (/ 1 x))))
(fma.f64 x #s(literal 108/841 binary64) #s(literal 46656/20511149 binary64))
(* -1 (* x (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)))
(+.f64 #s(literal 46656/20511149 binary64) (fma.f64 x #s(literal 108/841 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)))
(+.f64 #s(literal 46656/20511149 binary64) (fma.f64 x #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)))
(* -29/4 x)
(*.f64 x #s(literal -29/4 binary64))
(* x (- (* -707281/1728 x) 29/4))
(*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64)))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* 707281/1728 x))
(fma.f64 x #s(literal 707281/1728 binary64) #s(literal 29/4 binary64))
(+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal 707281/1728 binary64)) #s(literal 29/4 binary64))
(+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal 707281/1728 binary64)) #s(literal 29/4 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal -108/841 binary64)) x)
(/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x) #s(literal -108/841 binary64)) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal -108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x) #s(literal -108/841 binary64)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* -29/4 x)
(*.f64 x #s(literal -29/4 binary64))
(* x (- (* -707281/1728 x) 29/4))
(*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64)))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 x (fma.f64 x #s(literal 20511149/46656 binary64) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 500246412961/20155392 binary64) #s(literal 20511149/46656 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)

rewrite405.0ms (5.6%)

Memory
8.1MiB live, 363.0MiB allocated
Rules
5 984×lower-fma.f32
5 972×lower-fma.f64
4 746×lower-/.f32
4 736×lower-/.f64
3 684×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039149
060139
1251139
21716139
08400138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 820
Calls
Call 1
Inputs
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x)
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal -108/841 binary64) x)
Outputs
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (neg.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
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(*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x) (*.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) x)))
(*.f64 (+.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(*.f64 (fma.f64 #s(literal -16/841 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x) (*.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x))))
(*.f64 (+.f64 (/.f64 #s(literal -16/841 binary64) x) (*.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) x)))
(*.f64 (fma.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(*.f64 (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (*.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(*.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(*.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))
(*.f64 (-.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -841/108 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 108/841 binary64) x))
(neg.f64 (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 #s(literal -108/841 binary64) x)
(/.f64 #s(literal 108/841 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))
(pow.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(*.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -108/841 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64)))))

eval201.0ms (2.8%)

Memory
5.1MiB live, 396.3MiB allocated
Compiler

Compiled 33 177 to 2 293 computations (93.1% saved)

prune249.0ms (3.5%)

Memory
-12.6MiB live, 267.4MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 26441 268
Fresh033
Picked415
Done022
Total1 268101 278
Accuracy
100.0%
Counts
1 278 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
▶96.2%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
▶99.6%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
96.3%
(fma.f64 x (/.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(literal 11664/707281 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓99.8%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶78.0%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
▶50.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
▶28.4%
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓50.3%
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
✓49.8%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 171 to 119 computations (30.4% saved)

simplify11.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
cost-diff0
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
cost-diff0
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
cost-diff0
(*.f64 x #s(literal -707281/11664 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
cost-diff0
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))))
cost-diff0
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
cost-diff0
(/.f64 #s(literal 108/841 binary64) x)
cost-diff0
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
cost-diff0
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
cost-diff0
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
Rules
86×lower-*.f32
76×lower-*.f64
48×lower-fma.f32
38×lower-fma.f64
30×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043205
062205
186205
2103205
3111205
4114205
5115205
0115203
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
#s(literal 108/841 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
x
(*.f64 x #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
Outputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
#s(literal 108/841 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
x
(*.f64 x #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)

localize134.0ms (1.9%)

Memory
-4.8MiB live, 241.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
accuracy0.16796875
(*.f64 x #s(literal 707281/11664 binary64))
accuracy0.19921875
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
accuracy31.847429670609557
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
accuracy0
(*.f64 x x)
accuracy0.05859375
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
accuracy0.11328125
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
accuracy14.111072502057672
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
accuracy0.29296875
(/.f64 #s(literal -108/841 binary64) x)
accuracy14.068767521594557
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
accuracy31.689916494300405
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))))
accuracy31.96513789218242
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
accuracy0.1640625
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
accuracy0.29296875
(/.f64 #s(literal 108/841 binary64) x)
accuracy31.8608603581338
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
accuracy0.16796875
(*.f64 x #s(literal 707281/11664 binary64))
accuracy0.19921875
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
accuracy31.762100319196964
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
accuracy31.847429670609557
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
Samples
93.0ms250×0valid
2.0ms4×1valid
1.0ms2×2valid
Compiler

Compiled 186 to 35 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
const: 31.0ms (40.4% of total)
ival-mult: 19.0ms (24.7% of total)
ival-div: 15.0ms (19.5% of total)
ival-add: 11.0ms (14.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-12.7MiB live, 23.8MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (patch #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) (patch #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 108/841 binary64) x) (patch (/.f64 #s(literal 108/841 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) (patch (*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) (patch #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))) (patch (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -707281/11664 binary64)) (patch (*.f64 x #s(literal -707281/11664 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) (patch #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 707281/11664 binary64)) (patch (*.f64 x #s(literal 707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -29/4 x) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (patch #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -707281/1728 x) 29/4)) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (patch #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4)) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (patch #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4)) (taylor 0 x) (#s(alt #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (patch #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) (patch #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor inf x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor inf x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor inf x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor inf x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())) ())
Calls

60 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 108/841 x)
0.0ms
x
@inf
(* x (* x -707281/11664))
0.0ms
x
@0
(* x -707281/11664)
0.0ms
x
@0
(* x (* x -707281/11664))
0.0ms
x
@-inf
(* x (* x -707281/11664))

simplify434.0ms (6.1%)

Memory
1.9MiB live, 199.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 312×lower-fma.f64
8 312×lower-fma.f32
2 840×lower-*.f64
2 840×lower-*.f32
2 028×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951292
15191274
211551264
323831260
452381236
083771125
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
29/4
(+ 29/4 (* 707281/1728 x))
(+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))
(+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)
(/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* -29/4 x)
(*.f64 x #s(literal -29/4 binary64))
(* x (- (* -707281/1728 x) 29/4))
(*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64)))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(-.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 x (fma.f64 x #s(literal 20511149/46656 binary64) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 500246412961/20155392 binary64) #s(literal 20511149/46656 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
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(/.f64 (-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x)) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
(/.f64 (-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x)) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)

rewrite318.0ms (4.4%)

Memory
-4.3MiB live, 490.2MiB allocated
Rules
5 968×lower-fma.f32
5 958×lower-fma.f64
4 378×lower-*.f32
4 368×lower-*.f64
4 242×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043174
062174
1207174
21292174
08720172
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 553
Calls
Call 1
Inputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64))))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(*.f64 x #s(literal -707281/11664 binary64))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
Outputs
(+.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))) (neg.f64 (/.f64 (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))) (/.f64 (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))))
(-.f64 (/.f64 (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (-.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (-.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))))))
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))) (neg.f64 (/.f64 (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) x #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (-.f64 (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))) (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (-.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))) (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) (neg.f64 (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))))) (neg.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (-.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))))) (neg.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))))))))
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(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -841/108 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64))))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -841/108 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -841/108 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) x (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal -29/27 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)))))
(/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal -29/27 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64))) (neg.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal -29/27 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) #s(literal 841/729 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) #s(literal -262144/14507145975869 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (-.f64 #s(literal 4096/594823321 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64)))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))) (fma.f64 (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal -29/27 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -841/108 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 108/841 binary64) x))
(neg.f64 (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal -108/841 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 841/108 binary64)))
(pow.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(*.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -108/841 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1/2 binary64)))

eval148.0ms (2.1%)

Memory
5.7MiB live, 156.9MiB allocated
Compiler

Compiled 18 402 to 1 810 computations (90.2% saved)

prune188.0ms (2.6%)

Memory
-16.7MiB live, 233.7MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New8193822
Fresh022
Picked235
Done033
Total82111832
Accuracy
100.0%
Counts
832 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
99.6%
(fma.f64 (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
99.5%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓99.6%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
96.3%
(fma.f64 x (/.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(literal 11664/707281 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓99.8%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
28.1%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
✓50.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
✓28.4%
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓50.3%
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
✓49.8%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 338 to 132 computations (60.9% saved)

regimes22.0ms (0.3%)

Memory
-4.5MiB live, 33.7MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(literal 11664/707281 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

8.0ms
x
7.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
6.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
99.8%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ 1 (/ 1 (+ (* 841/108 x) 4/29))) (*.f64 #s(literal 841/108 binary64) x))
Outputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
Calls

3 calls:

2.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
2.0ms
x
2.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
96.6%3x
96.6%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
96.6%3(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Outputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Calls

3 calls:

1.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms
x
1.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
49.8%1x
49.8%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
49.8%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.02640822889077488
15.113107186957613
0.0ms
-0.8950040885964886
-4.4812013757013116e-10
Compiler

Compiled 13 to 13 computations (0% saved)

simplify27.0ms (0.4%)

Memory
-26.6MiB live, 9.8MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02352
12552
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -1/2 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -1/2 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))))
(if (<=.f64 (*.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal -1/2 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (if (<=.f64 (*.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

soundness138.0ms (1.9%)

Memory
11.2MiB live, 89.6MiB allocated
Rules
10 628×lower-fma.f64
10 628×lower-fma.f32
4 272×lower-/.f64
4 272×lower-/.f32
4 234×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01088
12488
23788
34988
44988
56488
67088
77488
87488
07479
0910
01510
13210
215710
3121910
083809
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 69 to 36 computations (47.8% saved)

preprocess28.0ms (0.4%)

Memory
-8.0MiB live, 69.5MiB allocated
Compiler

Compiled 86 to 48 computations (44.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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