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

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample855.0ms (15.4%)

Memory
-35.7MiB live, 1 095.9MiB allocated
Samples
498.0ms8 252×0valid
0.0ms3×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-div: 126.0ms (49.9% of total)
ival-add: 53.0ms (21% of total)
ival-mult: 51.0ms (20.2% of total)
exact: 13.0ms (5.2% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain128.0ms (2.3%)

Memory
24.7MiB live, 102.1MiB 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
52.0ms510×0valid
1.0ms2×5exit
Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (48% of total)
ival-mult: 3.0ms (20.6% of total)
ival-add: 2.0ms (13.7% of total)
exact: 1.0ms (6.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess18.0ms (0.3%)

Memory
-14.3MiB live, 21.9MiB 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 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB 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 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(*.f64 x #s(literal 841/108 binary64))
(/.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)

localize19.0ms (0.3%)

Memory
17.6MiB live, 17.6MiB 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))
accuracy0.0078125
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy0.12109375
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Samples
13.0ms255×0valid
0.0ms1×5exit
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (57.9% of total)
ival-mult: 2.0ms (29% of total)
ival-add: 1.0ms (14.5% 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)

series2.0ms (0%)

Memory
2.3MiB live, 2.3MiB 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 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 (/.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 #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 (/.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 #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

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms
x
@-inf
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms
x
@0
((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

simplify79.0ms (1.4%)

Memory
-41.0MiB live, 4.5MiB 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)
(* 841/108 x)
(* 841/108 x)
(* 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)
(* 841/108 x)
(* 841/108 x)
(* 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)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))

rewrite217.0ms (3.9%)

Memory
31.9MiB live, 222.3MiB 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 (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
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(fma.f64 (*.f64 (*.f64 x x) #s(literal 841/108 binary64)) (/.f64 #s(literal -841/108 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 x) (/.f64 #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 #s(literal 707281/11664 binary64) (/.f64 (*.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))))
(fma.f64 #s(literal -16/841 binary64) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 707281/11664 binary64) 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 #s(literal 16/841 binary64) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (pow.f64 (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 (*.f64 x #s(literal 841/108 binary64)) (*.f64 #s(literal -841/108 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 #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 #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (*.f64 #s(literal -841/108 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))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #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 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #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 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #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 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #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 (/.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 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 2 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 #s(literal 0 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 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal -4096/594823321 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 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))) (/.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 0 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 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))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) 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))))
(+.f64 (*.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 (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)))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))

eval32.0ms (0.6%)

Memory
12.6MiB live, 84.5MiB allocated
Compiler

Compiled 5 675 to 647 computations (88.6% saved)

prune13.0ms (0.2%)

Memory
-19.0MiB live, 29.5MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2387245
Fresh000
Picked101
Done000
Total2397246
Accuracy
100.0%
Counts
246 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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))))
99.5%
(fma.f64 x (*.f64 #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))))
▶99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶73.9%
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
▶73.9%
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
▶52.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
▶48.6%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 134 to 116 computations (13.4% saved)

simplify57.0ms (1%)

Memory
18.5MiB live, 54.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff128
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
cost-diff0
(*.f64 x #s(literal 841/108 binary64))
cost-diff0
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 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
792×lower-fma.f32
784×lower-fma.f64
552×lower-*.f32
544×lower-*.f64
374×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02994
04291
16091
27391
39291
411391
516491
625691
741691
877491
9175791
10197591
11211191
12215891
13218291
14218591
0218590
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)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
#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)
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(literal -16/841 binary64)
(fma.f64 #s(literal -841/108 binary64) x #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)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
x
#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)
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #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)))
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(literal -16/841 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)

localize226.0ms (4.1%)

Memory
-22.5MiB live, 121.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
accuracy0.0625
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.2015911340380844
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
accuracy16.451626625316436
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy0.0390625
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy0.0625
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy0.15625
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy16.451626625316436
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy0.12109375
(*.f64 x #s(literal 841/108 binary64))
accuracy30.45338384967869
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
accuracy32.68754776577749
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy0.0625
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Samples
168.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 105 to 31 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-add: 89.0ms (68.5% of total)
const: 20.0ms (15.4% of total)
ival-mult: 13.0ms (10% of total)
ival-div: 7.0ms (5.4% of total)
ival-sub: 1.0ms (0.8% 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)

series163.0ms (2.9%)

Memory
-23.2MiB live, 13.9MiB allocated
Counts
13 → 156
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 #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 841/108 binary64)) (patch (*.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (patch (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) 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 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<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>) () ())
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 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 4/29 (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 841/108 binary64)) (patch (*.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 841/108 binary64)) (patch (*.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 841/108 binary64)) (patch (*.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 841/108 binary64)) (patch (*.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt -16/841 (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (patch (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (patch (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (patch (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (patch (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) x) #<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 (- (* 841/108 x) 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 (- (* 841/108 x) 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 (- (* 841/108 x) 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 16/841 (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt 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 (+ 4/29 (* -841/108 x)) (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 (+ 4/29 (* -841/108 x)) (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 (+ 4/29 (* -841/108 x)) (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 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 #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>) () ())) ())
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#s(alt (* -707281/11664 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (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 (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (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 (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (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 (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -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 (- 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 (* -1 (* 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 (* -1 (* 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>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
154.0ms
x
@-inf
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* -841/108 x) 4/29))
3.0ms
x
@inf
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* -841/108 x) 4/29))
2.0ms
x
@0
((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* -841/108 x) 4/29))

simplify362.0ms (6.5%)

Memory
30.3MiB live, 216.6MiB allocated
Algorithm
1×egg-herbie
Rules
16 950×lower-fma.f64
16 950×lower-fma.f32
4 326×lower-*.f64
4 326×lower-*.f32
2 664×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039680
190680
2196680
3434680
4803680
51510680
62516680
73292680
83858680
94273680
104845680
115707680
08045599
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 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))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (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 (+ 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)
(* 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)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 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 (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))
(* 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 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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)
(* 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)
(* 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)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 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)))
(* -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))
(* 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 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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)))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.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)
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 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.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)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 707281/11664 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.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)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))

rewrite350.0ms (6.3%)

Memory
-5.7MiB live, 482.2MiB allocated
Rules
10 118×lower-fma.f32
10 110×lower-fma.f64
5 182×lower-*.f32
5 174×lower-*.f64
3 228×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02978
04261
114861
299261
0970860
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 460
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))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
Outputs
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 4096/594823321 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (neg.f64 (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 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 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))) (neg.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64))))) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64))))))
(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (+.f64 #s(literal 256/707281 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 #s(literal 841/729 binary64) (*.f64 x x)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64))))))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (neg.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64)))))
(/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))
(neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (neg.f64 x) #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 16/841 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))
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -1 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (neg.f64 x) #s(literal 4/29 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 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 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal -256/707281 binary64) (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x 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 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(-.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 x 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 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -1 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x 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 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(+.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))

eval215.0ms (3.9%)

Memory
15.0MiB live, 357.4MiB allocated
Compiler

Compiled 37 928 to 2 160 computations (94.3% saved)

prune144.0ms (2.6%)

Memory
11.3MiB live, 95.9MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1 61241 616
Fresh112
Picked235
Done000
Total1 61581 623
Accuracy
100.0%
Counts
1 623 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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))))
▶99.5%
(fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶73.9%
(/.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)))
▶26.4%
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
▶26.3%
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
✓52.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
✓48.6%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 144 to 115 computations (20.1% saved)

simplify133.0ms (2.4%)

Memory
-13.4MiB live, 62.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff576
(/.f64 x #s(literal -1 binary64))
cost-diff1216
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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
(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
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
cost-diff0
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
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 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff1088
(fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
Rules
1 288×lower-fma.f32
1 276×lower-fma.f64
952×lower-*.f32
942×lower-*.f64
640×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036214
060217
190217
2123217
3171217
4210217
5232217
6281217
7339217
8423202
9578202
10892201
111412201
121597201
132130201
142634201
152915201
163181201
173405201
183466201
193549201
203549201
213549201
223627201
234086201
04086199
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
#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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
#s(literal -16/841 binary64)
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 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 -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 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 (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))
#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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
#s(literal -16/841 binary64)
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))
#s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 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 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 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)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#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))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)

localize126.0ms (2.3%)

Memory
-26.7MiB live, 188.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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))))
accuracy0.15625
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy0.4771271112251215
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy0.5804126631969286
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy0
(*.f64 x x)
accuracy0.0625
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy0.0859375
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
accuracy16.451626625316436
(/.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)))
accuracy0.12109375
(*.f64 x #s(literal 841/108 binary64))
accuracy0.15625
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy16.451626625316436
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
accuracy30.31074745264066
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))
accuracy0.0625
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.2015911340380844
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
accuracy16.451626625316436
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy30.518241622254788
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
accuracy0.07421875
(fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy0.16015625
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy0.3320093442113228
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy0.4771271112251215
(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
Samples
93.0ms252×0valid
4.0ms3×1valid
2.0ms1×5exit
Compiler

Compiled 220 to 37 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
const: 25.0ms (35% of total)
ival-mult: 18.0ms (25.2% of total)
ival-div: 13.0ms (18.2% of total)
ival-add: 13.0ms (18.2% of total)
ival-sub: 1.0ms (1.4% 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)

series21.0ms (0.4%)

Memory
4.2MiB live, 42.6MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #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 (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (patch (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 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 (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 -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 841/108 binary64)) (patch (*.f64 x #s(literal 841/108 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 (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -20511149/46656 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -500246412961/20155392 x) 20511149/46656)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 29/4 x) (taylor 0 x) (#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 (* x (+ 29/4 (* 707281/1728 x))) (taylor 0 x) (#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 (* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) (taylor 0 x) (#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 (* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) (taylor 0 x) (#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 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 (+ 4/29 (* -841/108 x)) (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 (+ 4/29 (* -841/108 x)) (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 (+ 4/29 (* -841/108 x)) (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 4/29 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ 16/841 (+ (* -841/108 x) 4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* -707281/11664 (* x x)) (* x x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (+ (* x 841/108) -4/29) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (/ 16/841 (+ (* -841/108 x) 4/29)) (* x 841/108) (/ -16/841 (+ (* x 841/108) -4/29)))
4.0ms
x
@inf
((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ 16/841 (+ (* -841/108 x) 4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* -707281/11664 (* x x)) (* x x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (+ (* x 841/108) -4/29) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (/ 16/841 (+ (* -841/108 x) 4/29)) (* x 841/108) (/ -16/841 (+ (* x 841/108) -4/29)))
3.0ms
x
@-inf
((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ 16/841 (+ (* -841/108 x) 4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* -707281/11664 (* x x)) (* x x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (/ (+ (* (* x x) 707281/11664) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* x x) 707281/11664) -16/841) (+ (* x 841/108) -4/29) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (/ 16/841 (+ (* -841/108 x) 4/29)) (* x 841/108) (/ -16/841 (+ (* x 841/108) -4/29)))

simplify168.0ms (3%)

Memory
20.5MiB live, 138.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 406×lower-fma.f64
7 406×lower-fma.f32
3 112×lower-*.f64
3 112×lower-*.f32
2 930×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01941358
15301342
211701322
322591322
442481306
082541177
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 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))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (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))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 20511149/46656 x)
(* x (+ 20511149/46656 (* 500246412961/20155392 x)))
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* 12200509765705829/8707129344 x)))))
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* x (+ 12200509765705829/8707129344 (* 297558232675799463481/3761479876608 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))))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 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))))))
(* 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
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 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)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 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 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 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))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-841/108
(* -1 (+ 841/108 (* 4/29 (/ 1 x))))
(- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)
(- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) (pow x 2))) (+ 841/108 (* 4/29 (/ 1 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)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 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)
(* 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
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -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)))))
(* 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 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 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)))
(* 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 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 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)))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-841/108
(* -1 (+ 841/108 (* 4/29 (/ 1 x))))
(- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)
(- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)
(/ -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))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 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 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -20511149/46656 x)
(*.f64 #s(literal -20511149/46656 binary64) x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 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))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 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)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 20511149/46656 x)
(*.f64 #s(literal 20511149/46656 binary64) x)
(* x (+ 20511149/46656 (* 500246412961/20155392 x)))
(*.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x)
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* 12200509765705829/8707129344 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 12200509765705829/8707129344 binary64) x #s(literal 500246412961/20155392 binary64)) x #s(literal 20511149/46656 binary64)) x)
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* x (+ 12200509765705829/8707129344 (* 297558232675799463481/3761479876608 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 297558232675799463481/3761479876608 binary64) x #s(literal 12200509765705829/8707129344 binary64)) x #s(literal 500246412961/20155392 binary64)) x #s(literal 20511149/46656 binary64)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
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(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)

rewrite544.0ms (9.8%)

Memory
-19.7MiB live, 382.3MiB allocated
Rules
8 864×lower-fma.f32
8 852×lower-fma.f64
5 612×lower-/.f32
5 596×lower-/.f64
4 384×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036170
060170
1233162
21936162
08636158
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 910
Calls
Call 1
Inputs
(fma.f64 x (*.f64 #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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #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))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 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))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64))
(/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 x #s(literal 841/108 binary64))
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(*.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))))
(*.f64 (/.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -2 binary64)) #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.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 -841/729 binary64))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 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 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))))
(/.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -2 binary64)) #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.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 -841/729 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))))
(/.f64 (/.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -256/707281 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -2 binary64)) #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.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 -841/729 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (-.f64 #s(literal 256/707281 binary64) (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -2 binary64)) #s(literal 256/707281 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x (/.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 -841/729 binary64)))) (fma.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal 3 binary64)) #s(literal -353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
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(*.f64 x (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(pow.f64 (*.f64 #s(literal 11664/707281 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -707281/11664 binary64) x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -707281/11664 binary64) x)) (neg.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 1 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (*.f64 #s(literal -707281/11664 binary64) x) (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 11664/707281 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 11664/707281 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 11664/707281 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x))))
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 #s(literal 707281/11664 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x))
(/.f64 #s(literal -707281/11664 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x)))
(neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 11664/707281 binary64) (/.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal 16/841 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(*.f64 #s(literal -16/841 binary64) (pow.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 16/841 binary64) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 841/16 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (neg.f64 (neg.f64 (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)))
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 841/16 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
(*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))))
(*.f64 #s(literal -16/841 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 16/841 binary64) (pow.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 (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 16/841 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(/.f64 #s(literal 16/841 binary64) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64))) #s(literal -1 binary64)))

eval215.0ms (3.9%)

Memory
42.0MiB live, 305.1MiB allocated
Compiler

Compiled 29 725 to 2 718 computations (90.9% saved)

prune30.0ms (0.5%)

Memory
-38.8MiB live, 89.3MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 40031 403
Fresh000
Picked325
Done033
Total1 40381 411
Accuracy
100.0%
Counts
1 411 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.0%
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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)))
▶97.2%
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓73.9%
(/.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)))
✓26.4%
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
▶26.4%
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓52.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
✓48.6%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 69 to 58 computations (15.9% saved)

simplify58.0ms (1.1%)

Memory
19.1MiB live, 57.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff128
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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-diff576
(/.f64 x #s(literal -1 binary64))
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 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff0
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
cost-diff0
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
Rules
712×lower-fma.f32
706×lower-fma.f64
520×lower-*.f32
510×lower-*.f64
204×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035158
050154
173154
2107154
3157154
4197154
5215154
6259154
7307154
8375154
9461154
10544154
11639154
12786154
131002153
141320153
151424153
161452153
171465153
181469153
191475153
01475151
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(literal -841/108 binary64)
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
#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 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 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))
Outputs
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(literal -841/108 binary64)
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal -707281/11664 binary64) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))
#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 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) #s(literal -707281/11664 binary64) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
(/.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 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(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))

localize189.0ms (3.4%)

Memory
-1.0MiB live, 126.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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)))
accuracy0.15625
(*.f64 #s(literal 707281/11664 binary64) x)
accuracy0.5804126631969286
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy32.37459210691814
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
accuracy0.07421875
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
accuracy0.16015625
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy0.3320093442113228
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy32.37459210691814
#s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))
accuracy0.2015911340380844
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
accuracy16.451626625316436
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
accuracy30.31074745264066
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
accuracy30.518241622254788
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
Samples
169.0ms252×0valid
1.0ms3×1valid
1.0ms1×5exit
Compiler

Compiled 145 to 31 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-mult: 102.0ms (64.6% of total)
const: 38.0ms (24.1% of total)
ival-div: 10.0ms (6.3% of total)
ival-add: 4.0ms (2.5% of total)
ival-sub: 3.0ms (1.9% 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)

series41.0ms (0.7%)

Memory
-21.1MiB live, 17.0MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #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 (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 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>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 16/841 (taylor 0 x) (#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -20511149/46656 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -500246412961/20155392 x) 20511149/46656)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) (taylor 0 x) (#s(alt (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 29/4 x) (taylor 0 x) (#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 (* x (+ 29/4 (* 707281/1728 x))) (taylor 0 x) (#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 (* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) (taylor 0 x) (#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 (* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) (taylor 0 x) (#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 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 (+ 4/29 (* -841/108 x)) (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 (+ 4/29 (* -841/108 x)) (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 (+ 4/29 (* -841/108 x)) (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 (* -1 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (* 20511149/46656 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 20511149/46656 (* 500246412961/20155392 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* 12200509765705829/8707129344 x))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* x (+ 12200509765705829/8707129344 (* 297558232675799463481/3761479876608 x))))))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 707281/11664 binary64) x) (patch (*.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1728/707281 x) (taylor -inf x) (#s(alt #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #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 #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #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 #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1728/707281 x) (taylor -inf x) (#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 (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) (taylor -inf x) (#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 (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) (taylor -inf x) (#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 (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) (taylor -inf x) (#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>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
((/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* -707281/11664 (* x x)) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ 16/841 (+ (* -841/108 x) 4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ x -1) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (* 707281/11664 x) (+ (* -841/108 x) 4/29) (/ 16/841 (+ (* -841/108 x) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))
2.0ms
x
@inf
((/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* -707281/11664 (* x x)) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ 16/841 (+ (* -841/108 x) 4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ x -1) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (* 707281/11664 x) (+ (* -841/108 x) 4/29) (/ 16/841 (+ (* -841/108 x) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))
2.0ms
x
@0
((/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* -707281/11664 (* x x)) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ 16/841 (+ (* -841/108 x) 4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ x -1) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (* 707281/11664 x) (+ (* -841/108 x) 4/29) (/ 16/841 (+ (* -841/108 x) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))

simplify143.0ms (2.6%)

Memory
18.1MiB live, 171.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 810×lower-fma.f64
7 810×lower-fma.f32
2 942×lower-*.f64
2 942×lower-*.f32
2 850×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861018
15111002
21113982
32126982
43861966
57575966
08098882
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))
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))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (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))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 20511149/46656 x)
(* x (+ 20511149/46656 (* 500246412961/20155392 x)))
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* 12200509765705829/8707129344 x)))))
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* x (+ 12200509765705829/8707129344 (* 297558232675799463481/3761479876608 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))
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))))))
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))))))
(* 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 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -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
(* -1 (+ 841/108 (* 4/29 (/ 1 x))))
(- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)
(- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) (pow x 2))) (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 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))
(/ -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 (/ (+ 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)
(* 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 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 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
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -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)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -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
(* -1 (+ 841/108 (* 4/29 (/ 1 x))))
(- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)
(- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* -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)))))
(/ -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))
(/ -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 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 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)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -20511149/46656 x)
(*.f64 #s(literal -20511149/46656 binary64) x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 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))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 20511149/46656 x)
(*.f64 #s(literal 20511149/46656 binary64) x)
(* x (+ 20511149/46656 (* 500246412961/20155392 x)))
(*.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x)
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* 12200509765705829/8707129344 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 12200509765705829/8707129344 binary64) x #s(literal 500246412961/20155392 binary64)) x #s(literal 20511149/46656 binary64)) x)
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* x (+ 12200509765705829/8707129344 (* 297558232675799463481/3761479876608 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 297558232675799463481/3761479876608 binary64) x #s(literal 12200509765705829/8707129344 binary64)) x #s(literal 500246412961/20155392 binary64)) x #s(literal 20511149/46656 binary64)) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 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))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #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 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 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)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal -841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal -4/29 binary64)) x) #s(literal -841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.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))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
-841/108
#s(literal -841/108 binary64)
(* -1 (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal -841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
(- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)
(-.f64 #s(literal -841/108 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal -4/29 binary64)) x))
(- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) (pow x 2))) (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x) #s(literal 841/108 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #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 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal -746496/17249876309 binary64)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal -322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) 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 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal -746496/17249876309 binary64)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal -322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 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)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal -841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal -4/29 binary64)) x) #s(literal -841/108 binary64))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.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))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
-841/108
#s(literal -841/108 binary64)
(* -1 (+ 841/108 (* 4/29 (/ 1 x))))
(-.f64 #s(literal -841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
(- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)
(-.f64 #s(literal -841/108 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal -4/29 binary64)) x))
(- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)
(-.f64 (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x) #s(literal 841/108 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #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 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal -746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal -322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) 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 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal -746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal -322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)

rewrite238.0ms (4.3%)

Memory
-2.0MiB live, 193.2MiB allocated
Rules
5 912×lower-fma.f32
5 906×lower-fma.f64
3 704×lower-*.f32
3 694×lower-*.f64
3 090×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035139
050135
1180134
21356134
09167132
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 588
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #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))
(/.f64 x #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
#s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64))
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #s(literal -1 binary64)) #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))))
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eval178.0ms (3.2%)

Memory
23.2MiB live, 177.6MiB allocated
Compiler

Compiled 16 654 to 1 767 computations (89.4% saved)

prune103.0ms (1.9%)

Memory
-8.4MiB live, 90.7MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New8533856
Fresh000
Picked213
Done235
Total8577864
Accuracy
100.0%
Counts
864 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 x (/.f64 (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
99.5%
(fma.f64 x (*.f64 #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 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
26.4%
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x #s(literal -707281/11664 binary64)) x)) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓26.4%
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓52.3%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
✓48.6%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 253 to 110 computations (56.5% saved)

regimes30.0ms (0.5%)

Memory
-9.0MiB live, 30.2MiB allocated
Counts
18 → 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 x #s(literal 841/108 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 (*.f64 x #s(literal -707281/11664 binary64)) x)) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
(fma.f64 x (*.f64 #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 (+ (* -841/108 x) 4/29)) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #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 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* -841/108 x) 4/29)) #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))) #s(approx (/ 16/841 (+ (* -841/108 x) 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 (-.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 #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 #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))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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))))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

5.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
5.0ms
x
5.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
99.9%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 15 to 15 computations (0% saved)

regimes34.0ms (0.6%)

Memory
-27.9MiB live, 11.4MiB allocated
Counts
2 → 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 x #s(literal 841/108 binary64)))
Outputs
#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))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
Calls

3 calls:

31.0ms
x
2.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) 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
97.6%3x
97.6%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
97.6%3(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB 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
48.6%1x
48.6%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
48.6%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.02396680194102239
3748000587247.261
0.0ms
-6.476401312021407
-0.00012958252566033746
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify62.0ms (1.1%)

Memory
0.1MiB live, 39.6MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative-binary64-*.f64
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 -5 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/144115188075855872 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))
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 -5 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/144115188075855872 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)))))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -5 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 5764607523034235/144115188075855872 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))

soundness170.0ms (3.1%)

Memory
-7.3MiB live, 32.7MiB 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 64 to 38 computations (40.6% saved)

preprocess190.0ms (3.4%)

Memory
15.6MiB live, 54.2MiB allocated
Compiler

Compiled 82 to 52 computations (36.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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