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

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB 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)

sample1.0s (16.8%)

Memory
10.5MiB live, 845.1MiB allocated
Samples
669.0ms8 251×0valid
0.0ms3×1valid
0.0ms2×2valid
Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-div: 130.0ms (46.7% of total)
ival-mult: 75.0ms (26.9% of total)
ival-add: 51.0ms (18.3% of total)
exact: 13.0ms (4.7% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain84.0ms (1.4%)

Memory
1.8MiB live, 159.4MiB 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
34.0ms510×0valid
1.0ms2×5exit
Compiler

Compiled 64 to 31 computations (51.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 10.0ms (46.3% of total)
ival-mult: 6.0ms (27.8% of total)
ival-add: 4.0ms (18.5% of total)
ival-true: 1.0ms (4.6% of total)
exact: 1.0ms (4.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory
-4.8MiB live, 33.3MiB allocated
Algorithm
1×egg-herbie
Rules
11×distribute-lft-neg-in
8×sub-neg
7×associate--r+
7×associate-+l-
7×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 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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 10 to 9 computations (10% saved)

simplify3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB 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
2×lift-/.f64
2×lower-fma.f64
2×lower-fma.f32
2×lower-*.f32
2×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)

localize30.0ms (0.5%)

Memory
-6.5MiB live, 32.3MiB 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))
accuracy0.00390625
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy0.1484375
(*.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 (55.4% of total)
ival-mult: 2.0ms (27.7% of total)
ival-add: 1.0ms (13.9% 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)

series2.0ms (0%)

Memory
5.3MiB live, 5.3MiB 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 inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Algorithm
1×egg-herbie
Rules
22×lower-*.f64
22×lower-*.f32
8×lower-fma.f64
8×lower-fma.f32
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite245.0ms (4%)

Memory
-15.2MiB live, 304.2MiB allocated
Rules
5 314×lower-fma.f64
5 314×lower-fma.f32
2 136×lower-/.f64
2 136×lower-/.f32
2 117×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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
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(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) #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) (*.f64 (*.f64 x x) x) #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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -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))))

eval71.0ms (1.2%)

Memory
0.2MiB live, 83.0MiB allocated
Compiler

Compiled 7 005 to 643 computations (90.8% saved)

prune42.0ms (0.7%)

Memory
-1.1MiB live, 115.1MiB 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
99.9%
(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))
74.4%
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
▶99.9%
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
▶52.8%
#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 114 to 88 computations (22.8% saved)

simplify7.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
cost-diff0
(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
(*.f64 x #s(literal 841/108 binary64))
cost-diff128
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
Rules
20×lower-fma.f32
18×lower-fma.f64
16×lower-+.f64
16×lower-+.f32
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02363
03056
13956
24956
35756
46456
57256
68356
79356
810656
910956
1011356
011356
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(*.f64 x #s(literal 841/108 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)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
#s(literal -841/108 binary64)
x
#s(literal -4/29 binary64)
Outputs
(-.f64 (*.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 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
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)))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
x
#s(literal 841/108 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))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
#s(literal -841/108 binary64)
x
#s(literal -4/29 binary64)

localize167.0ms (2.7%)

Memory
-6.1MiB live, 148.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
accuracy0.125
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
accuracy0.1484375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
accuracy0.078125
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
accuracy0.1484375
(*.f64 x #s(literal 841/108 binary64))
accuracy30.16650763881042
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
accuracy32.67754162111063
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy0.00390625
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
accuracy0.1484375
(*.f64 x #s(literal 841/108 binary64))
Samples
143.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 71 to 24 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-div: 109.0ms (82.6% of total)
const: 12.0ms (9.1% of total)
ival-mult: 6.0ms (4.5% of total)
ival-add: 3.0ms (2.3% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 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)

series5.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.f64 x #s(literal 841/108 binary64)) #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 #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 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.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 (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 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 (* 841/108 x) (taylor inf 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 inf 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 inf 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 inf 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 -inf 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 -inf 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 -inf 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 -inf 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 #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
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Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ 1 (/ -1 (+ (* -841/108 x) -4/29)))
0.0ms
x
@inf
(/ -1 (+ (* -841/108 x) -4/29))
0.0ms
x
@-inf
(/ 1 (/ -1 (+ (* -841/108 x) -4/29)))
0.0ms
x
@-inf
(/ -1 (+ (* -841/108 x) -4/29))
0.0ms
x
@0
(/ -1 (+ (* -841/108 x) -4/29))

simplify246.0ms (4%)

Memory
-25.1MiB live, 136.9MiB allocated
Algorithm
1×egg-herbie
Rules
4 689×lower-fma.f64
4 689×lower-fma.f32
1 042×lower-*.f64
1 042×lower-*.f32
798×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074460
1198452
2439452
3974448
42366448
55057448
66081448
76792448
87204448
97297448
107414448
08006388
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
-4/29
(- (* -841/108 x) 4/29)
(- (* -841/108 x) 4/29)
(- (* -841/108 x) 4/29)
(* -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)
(* -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))
(* 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))
(* 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))
(* 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))
(* 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))
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))
(* 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))
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))
(* 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))
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))
(* 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))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(fma.f64 #s(literal -707281/1728 binary64) x #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal -707281/1728 binary64)) x #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(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))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x) #s(literal -108/841 binary64)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x)) x) #s(literal -108/841 binary64)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (-.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal -108/841 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x) #s(literal -108/841 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x)) x) #s(literal -108/841 binary64)) x)
-4/29
#s(literal -4/29 binary64)
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(- (* -841/108 x) 4/29)
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -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))
(* -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))

rewrite266.0ms (4.4%)

Memory
23.7MiB live, 444.8MiB allocated
Rules
1 718×lower-fma.f32
1 716×lower-fma.f64
1 580×lower-/.f32
1 578×lower-/.f64
1 370×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02346
03039
110139
251339
3343139
0870839
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 1 624
Calls
Call 1
Inputs
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(*.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)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
Outputs
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (*.f64 #s(literal -29/27 binary64) x)))) (-.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (*.f64 #s(literal -29/27 binary64) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))) (fma.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)))))
(*.f64 (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (*.f64 #s(literal -29/27 binary64) x)))) (-.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (*.f64 #s(literal -29/27 binary64) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))) (fma.f64 #s(literal 500246412961/136048896 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 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) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #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 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
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eval754.0ms (12.4%)

Memory
12.4MiB live, 338.9MiB allocated
Compiler

Compiled 46 269 to 2 228 computations (95.2% saved)

prune163.0ms (2.7%)

Memory
-23.2MiB live, 339.1MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 74521 747
Fresh022
Picked145
Done000
Total1 74681 754
Accuracy
100.0%
Counts
1 754 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(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))
▶74.4%
(/.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)))
▶52.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
✓99.9%
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
▶23.2%
(*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))))
✓52.8%
#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 68 to 48 computations (29.4% saved)

simplify79.0ms (1.3%)

Memory
-5.5MiB live, 66.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
cost-diff0
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff0
(*.f64 #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 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
(/.f64 #s(literal 108/841 binary64) x)
cost-diff0
#s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
cost-diff0
(neg.f64 (sqrt.f64 (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
(sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
cost-diff2112
(*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))))
Rules
436×lower-fma.f32
431×lower-fma.f64
316×lower-*.f32
313×lower-*.f64
185×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030138
048133
171126
293126
3127126
4158126
5179126
6202126
7227126
8283126
9346126
10486126
11684126
121083126
131569126
141856126
151927126
161966126
171987126
182059126
192501126
02501125
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
#s(literal -841/108 binary64)
x
#s(literal -4/29 binary64)
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(/.f64 (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 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))))
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 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
(*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (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))
(sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(sqrt.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))
#s(literal -841/108 binary64)
x
#s(literal -4/29 binary64)
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(neg.f64 (sqrt.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(/.f64 (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 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 (*.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 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))))
(/.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)))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) x)
#s(literal -707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.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))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)

localize151.0ms (2.5%)

Memory
-19.5MiB live, 173.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy0.03515625
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy0.04296875
(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))))
accuracy0.139003759768442
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy0
(*.f64 x x)
accuracy0.03515625
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
accuracy0.03515625
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy7.7536226912043285
(/.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)))
accuracy0.08203125
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
accuracy0.08984375
(/.f64 #s(literal 108/841 binary64) x)
accuracy0.6041043241293089
#s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x))
accuracy0
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
accuracy0.015625
(sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
accuracy0.046875
(fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))
accuracy0.125
(*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))))
Samples
56.0ms196×0invalid
20.0ms60×0valid
Compiler

Compiled 151 to 33 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
const: 27.0ms (44.8% of total)
ival-div: 14.0ms (23.2% of total)
ival-mult: 10.0ms (16.6% of total)
ival-add: 5.0ms (8.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (patch (sqrt.f64 (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 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) (patch (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)) (patch #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 108/841 binary64) x) (patch (/.f64 #s(literal 108/841 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 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)))) (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 x #s(literal 841/108 binary64) #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(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 (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (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 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (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 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (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 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -841/108 (* x (pow (sqrt -1) 2))) (taylor inf x) (#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) (taylor inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) (taylor inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1728/707281 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
Calls

48 calls:

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

simplify232.0ms (3.8%)

Memory
21.9MiB live, 293.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 630×lower-fma.f64
9 630×lower-fma.f32
2 706×lower-*.f64
2 706×lower-*.f32
1 149×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231668
19051597
224281567
364351561
085561437
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* -841/108 (* x (pow (sqrt -1) 2)))
(* x (+ (* -841/108 (pow (sqrt -1) 2)) (* -4/29 (/ (pow (sqrt -1) 2) x))))
(* x (+ (* -841/108 (pow (sqrt -1) 2)) (* -4/29 (/ (pow (sqrt -1) 2) x))))
(* x (+ (* -841/108 (pow (sqrt -1) 2)) (* -4/29 (/ (pow (sqrt -1) 2) 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))))
(sqrt -4/29)
(+ (sqrt -4/29) (* -841/216 (/ x (sqrt -4/29))))
(+ (sqrt -4/29) (* x (- (* -707281/93312 (/ x (pow (sqrt -4/29) 3))) (* 841/216 (/ 1 (sqrt -4/29))))))
(+ (sqrt -4/29) (* x (- (* x (- (* -594823321/20155392 (/ x (pow (sqrt -4/29) 5))) (* 707281/93312 (/ 1 (pow (sqrt -4/29) 3))))) (* 841/216 (/ 1 (sqrt -4/29))))))
(* (sqrt x) (* (sqrt -1) (sqrt 841/108)))
(* x (+ (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108)))))
(* x (+ (* -2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (+ (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108))))))
(* x (+ (* -2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (+ (* 4/24389 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 841/108) 5)))) (+ (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108)))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 841/108))))
(* -1 (* x (+ (* -2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108))))))
(* -1 (* x (+ (* -2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (+ (* -2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108)))))))
(* -1 (* x (+ (* -2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (+ (* -2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (+ (* -4/24389 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 841/108) 5)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108))))))))
-4/29
(- (* -841/108 x) 4/29)
(- (* -841/108 x) 4/29)
(- (* -841/108 x) 4/29)
(* -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)
(* -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 (sqrt -4/29))
(- (* 841/216 (/ x (sqrt -4/29))) (sqrt -4/29))
(- (* x (+ (* 707281/93312 (/ x (pow (sqrt -4/29) 3))) (* 841/216 (/ 1 (sqrt -4/29))))) (sqrt -4/29))
(- (* x (+ (* x (+ (* 594823321/20155392 (/ x (pow (sqrt -4/29) 5))) (* 707281/93312 (/ 1 (pow (sqrt -4/29) 3))))) (* 841/216 (/ 1 (sqrt -4/29))))) (sqrt -4/29))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 841/108))))
(* x (- (* -2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108)))))
(* x (- (* 2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (+ (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108))))))
(* x (- (* -4/24389 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 841/108) 5)))) (+ (* -2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (+ (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108)))))))
(* (sqrt x) (* (sqrt -1) (sqrt 841/108)))
(* -1 (* x (- (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108))))))
(* -1 (* x (- (* 2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (+ (* -2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108)))))))
(* -1 (* x (- (* 4/24389 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 841/108) 5)))) (+ (* -2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (+ (* -2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108))))))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(* 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 (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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -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))
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))))))
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)))
(* 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)))))))
-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))))
-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)
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 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 (pow (sqrt -1) 2)))
(*.f64 x #s(literal 841/108 binary64))
(* x (+ (* -841/108 (pow (sqrt -1) 2)) (* -4/29 (/ (pow (sqrt -1) 2) x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ (* -841/108 (pow (sqrt -1) 2)) (* -4/29 (/ (pow (sqrt -1) 2) x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ (* -841/108 (pow (sqrt -1) 2)) (* -4/29 (/ (pow (sqrt -1) 2) 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))
(sqrt -4/29)
(sqrt.f64 #s(literal -4/29 binary64))
(+ (sqrt -4/29) (* -841/216 (/ x (sqrt -4/29))))
(fma.f64 (/.f64 #s(literal -841/216 binary64) (sqrt.f64 #s(literal -4/29 binary64))) x (sqrt.f64 #s(literal -4/29 binary64)))
(+ (sqrt -4/29) (* x (- (* -707281/93312 (/ x (pow (sqrt -4/29) 3))) (* 841/216 (/ 1 (sqrt -4/29))))))
(fma.f64 (fma.f64 #s(literal 20511149/373248 binary64) (/.f64 x (sqrt.f64 #s(literal -4/29 binary64))) (/.f64 #s(literal -841/216 binary64) (sqrt.f64 #s(literal -4/29 binary64)))) x (sqrt.f64 #s(literal -4/29 binary64)))
(+ (sqrt -4/29) (* x (- (* x (- (* -594823321/20155392 (/ x (pow (sqrt -4/29) 5))) (* 707281/93312 (/ 1 (pow (sqrt -4/29) 3))))) (* 841/216 (/ 1 (sqrt -4/29))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -4/29 binary64)) #s(literal 5 binary64))) #s(literal -594823321/20155392 binary64) (/.f64 #s(literal 20511149/373248 binary64) (sqrt.f64 #s(literal -4/29 binary64)))) x (/.f64 #s(literal -841/216 binary64) (sqrt.f64 #s(literal -4/29 binary64)))) x (sqrt.f64 #s(literal -4/29 binary64)))
(* (sqrt x) (* (sqrt -1) (sqrt 841/108)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 841/108 binary64)) (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2/29 binary64)) (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 841/108 binary64))) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (+ (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108))))))
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(* x (+ (* -2/841 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (pow (sqrt 841/108) 3)))) (+ (* 4/24389 (* (sqrt (/ 1 (pow x 7))) (/ (sqrt -1) (pow (sqrt 841/108) 5)))) (+ (* 2/29 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (sqrt 841/108)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 841/108)))))))
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(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* 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))
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))
(* 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))
(* -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)
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 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal 4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(+.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) (*.f64 (*.f64 x x) x)) #s(literal 841/108 binary64)) (+.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) (/.f64 #s(literal 4/29 binary64) x)))
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 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal 4/29 binary64) x))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x) #s(literal 4/29 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)
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* -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 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) (*.f64 x x)) #s(literal 108/841 binary64)) (/.f64 #s(literal 46656/20511149 binary64) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* -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 #s(literal -108/841 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) #s(literal 46656/20511149 binary64)) x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 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 #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))
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))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) 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 (/.f64 #s(literal -746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -746496/17249876309 binary64) x) (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) (*.f64 x x)) #s(literal 1728/707281 binary64))) 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)

rewrite312.0ms (5.1%)

Memory
5.8MiB live, 356.7MiB allocated
Rules
4 799×lower-fma.f32
4 794×lower-fma.f64
2 558×lower-*.f32
2 555×lower-*.f64
1 730×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030116
048117
1176103
21206103
09582101
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 116
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))))
(sqrt.f64 (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))
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(*.f64 x x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 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))))
(*.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(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
Outputs
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))) (pow.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x #s(literal -256/707281 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x #s(literal -256/707281 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 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 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64))) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x #s(literal -256/707281 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))))
(*.f64 (pow.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 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))))
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal -1 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 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))))
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(fma.f64 (/.f64 (*.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal -1 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))))
(fma.f64 (/.f64 (*.f64 x #s(literal -841/108 binary64)) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 (*.f64 x #s(literal -841/108 binary64)) (/.f64 #s(literal -1 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))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (/.f64 #s(literal -1 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))))
(fma.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -1 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))))
(fma.f64 (neg.f64 x) #s(literal 841/108 binary64) #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 #s(literal -1 binary64) (*.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))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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 x #s(literal -841/108 binary64) #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 x #s(literal -841/108 binary64)) #s(literal 1 binary64)) #s(literal -4/29 binary64))
(-.f64 (/.f64 (*.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x) (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 (*.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 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)) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (fma.f64 #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 #s(literal 0 binary64) (fma.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 x #s(literal -841/108 binary64)) #s(literal -4/29 binary64))
(+.f64 (-.f64 #s(literal 0 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 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 #s(literal -707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(+.f64 #s(literal 4/29 binary64) (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(+.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (*.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 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 1 binary64) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1/2 binary64)))
(*.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) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal -16/841 binary64))
(*.f64 #s(literal 16/841 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #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 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.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 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal -841/16 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (*.f64 #s(literal 841/108 binary64) x) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)))
(fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(fma.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))))
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (*.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)))))
(-.f64 #s(literal 0 binary64) (/.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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)))) (*.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))) (*.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (*.f64 #s(literal 841/108 binary64) x)) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)))
(+.f64 (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) (*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))

eval366.0ms (6%)

Memory
31.3MiB live, 358.5MiB allocated
Compiler

Compiled 43 995 to 3 870 computations (91.2% saved)

prune453.0ms (7.4%)

Memory
-19.5MiB live, 442.6MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 67821 680
Fresh000
Picked314
Done044
Total1 68171 688
Accuracy
100.0%
Counts
1 688 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(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 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶27.2%
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
✓52.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
✓99.9%
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓52.8%
#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 51 to 35 computations (31.4% saved)

simplify17.0ms (0.3%)

Memory
-27.0MiB live, 10.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
cost-diff0
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff0
(*.f64 #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 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))
cost-diff0
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 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)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
Rules
31×lower-*.f32
28×lower-*.f64
16×lower-fma.f32
13×lower-fma.f64
10×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02191
03291
14791
26391
37091
47391
57491
07487
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
#s(literal -16/841 binary64)
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
#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 (+ (* x 841/108) -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 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
Outputs
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
(/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
#s(literal -16/841 binary64)
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))
#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)
(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 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (*.f64 x x) #s(approx (/ -16/841 (+ (* x 841/108) -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 #s(literal -707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x)
#s(literal -707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))

localize83.0ms (1.4%)

Memory
42.2MiB live, 151.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(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 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))
accuracy0.109375
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy0.15234375
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy32.524833410313626
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
accuracy0.07421875
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
accuracy0.1484375
(*.f64 x #s(literal 841/108 binary64))
accuracy16.18017696256578
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
accuracy30.087580127765083
#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))
Samples
58.0ms250×0valid
4.0ms1×5exit
1.0ms4×1valid
0.0ms1×2valid
Compiler

Compiled 88 to 23 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
const: 20.0ms (46.2% of total)
ival-mult: 10.0ms (23.1% of total)
ival-div: 8.0ms (18.5% of total)
ival-add: 4.0ms (9.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-27.7MiB live, 9.8MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 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 (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 (+ (* x 841/108) -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 (+ (* x 841/108) -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 841/108 binary64)) (patch (*.f64 x #s(literal 841/108 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 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt -16/841 (taylor 0 x) (#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 (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#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 (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#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 (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#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 (* 707281/11664 (pow x 2)) (taylor inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor inf x) (#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 (* 707281/11664 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt -4/29 (taylor 0 x) (#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 (- (* 841/108 x) 4/29) (taylor 0 x) (#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 (- (* 841/108 x) 4/29) (taylor 0 x) (#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 (- (* 841/108 x) 4/29) (taylor 0 x) (#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 (* 841/108 x) (taylor inf x) (#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 (* x (- 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#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 (* x (- 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#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 (* x (- 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#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 (* 841/108 x) (taylor -inf x) (#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>) () ())) ())
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#s(alt 4/29 (taylor 0 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 (+ 4/29 (* 841/108 x)) (taylor 0 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 (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) (taylor 0 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 (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) (taylor 0 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 (/ -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 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 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 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 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 (/ -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

30 calls:

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

simplify203.0ms (3.3%)

Memory
-15.9MiB live, 204.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 423×lower-fma.f64
5 423×lower-fma.f32
1 563×lower-*.f64
1 563×lower-*.f32
1 476×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159670
1419664
2923654
31807654
43491642
56760642
08961579
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-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 (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 (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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -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))
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))))))
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)))
(* 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)))))))
-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))))
-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)
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 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))
(* 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))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-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))
(* 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))
(* -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))
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))
(* 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))
(* -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)
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 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal -4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) #s(literal -4/29 binary64)) x) #s(literal -841/108 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 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal -4/29 binary64) x))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x) #s(literal -4/29 binary64)) x) #s(literal -841/108 binary64))
(* 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)
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 (/.f64 #s(literal -8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 (/.f64 #s(literal -8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) 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 #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 #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))
(* 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))
(* 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))
(* 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))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) 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 (/.f64 #s(literal -746496/17249876309 binary64) x) #s(literal 1728/707281 binary64)) 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)

rewrite392.0ms (6.4%)

Memory
-11.0MiB live, 274.7MiB allocated
Rules
4 108×lower-fma.f32
4 105×lower-fma.f64
2 907×lower-*.f32
2 904×lower-*.f64
1 820×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02183
03283
112583
289181
0852379
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 595
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(*.f64 x x)
#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 (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 #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 841/108 binary64))
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
Outputs
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 4096/594823321 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (+.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x)))) (-.f64 (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)) (*.f64 (*.f64 x x) #s(literal 841/729 binary64))))) (-.f64 (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)) (*.f64 (*.f64 x x) #s(literal 841/729 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 125184900814733057351483732809459681/2518170116818978404827136 binary64) (*.f64 (*.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x)))) (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x)))))) (fma.f64 #s(literal 250246473680347348787521/18509302102818816 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))) (-.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 (pow.f64 (/.f64 #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))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #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))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))))
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))))))
(*.f64 (/.f64 #s(literal -1 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 -1 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))))
(*.f64 (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 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)))))
(*.f64 (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #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 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 (/.f64 #s(literal 1 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 1 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))))
(*.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x)))) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 (/.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))) #s(literal 1 binary64))
(pow.f64 (/.f64 #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))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -256/707281 binary64)))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 binary64) (*.f64 #s(literal -841/729 binary64) (*.f64 x x)))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x 841/108) -4/29) (*.f64 #s(literal 841/108 binary64) x)))) (-.f64 #s(literal -16/841 binary64) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))))
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(/.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) (*.f64 (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) #s(literal -841/729 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) x) x (-.f64 #s(literal 256/707281 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 (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))))
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64)) (*.f64 #s(literal 1 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) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))))
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64)) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))))
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #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) (*.f64 (*.f64 x x) x) #s(literal 64/24389 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(/.f64 (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #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 -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))))
(/.f64 (fma.f64 (*.f64 #s(literal -707281/11664 binary64) x) x #s(literal 16/841 binary64)) (*.f64 #s(literal 1 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)))
(/.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 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal -594823321/1259712 binary64) (*.f64 (*.f64 x x) x) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (+.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (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)) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #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 #s(literal 707281/11664 binary64) (*.f64 x x)) (/.f64 #s(literal -1 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)))))
(fma.f64 (neg.f64 x) #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 (*.f64 #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 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (*.f64 x x)) (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 -256/707281 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 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (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 #s(literal -707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 #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)) (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 #s(literal -707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -1 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (/.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))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 (neg.f64 x) #s(literal -841/108 binary64))
(*.f64 #s(literal -841/108 binary64) (neg.f64 x))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
(neg.f64 (*.f64 #s(literal -841/108 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -841/108 binary64) x))
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))

eval118.0ms (1.9%)

Memory
30.0MiB live, 181.2MiB allocated
Compiler

Compiled 20 925 to 2 049 computations (90.2% saved)

prune102.0ms (1.7%)

Memory
-13.3MiB live, 237.9MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New7132715
Fresh000
Picked202
Done055
Total7157722
Accuracy
100.0%
Counts
722 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(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 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
27.3%
(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
✓52.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
✓99.9%
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓52.8%
#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 175 to 82 computations (53.1% saved)

regimes15.0ms (0.2%)

Memory
-10.2MiB live, 28.7MiB allocated
Counts
14 → 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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ -1 (+ (* -841/108 x) -4/29)) (/.f64 #s(literal 108/841 binary64) x)))
(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (*.f64 (*.f64 #s(literal 707281/11664 binary64) x) 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)) #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 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 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 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -841/108 binary64) x #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))))
Outputs
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
Calls

3 calls:

5.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
4.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
4.0ms
x
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 18 to 15 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
3 → 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))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

2.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
2.0ms
x
2.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
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 18 to 15 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB 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:

2.0ms
(*.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
97.8%3x
97.8%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
97.8%3(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB 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 18 to 15 computations (16.7% saved)

bsearch92.0ms (1.5%)

Memory
-38.9MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.1011652277500948e-8
3050993.82327474
92.0ms
-58.58248062168827
-0.003762951120405704
Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×+-commutative_binary64
2×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02557
12957
23457
33657
43757
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.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))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -50 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 3022314549036573/151115727451828646838272 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
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(-.f64 (*.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))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -50 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 3022314549036573/151115727451828646838272 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 -50 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 3022314549036573/151115727451828646838272 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))

soundness249.0ms (4.1%)

Memory
-0.9MiB live, 117.9MiB allocated
Rules
5 314×lower-fma.f64
5 314×lower-fma.f32
2 136×lower-/.f64
2 136×lower-/.f32
2 117×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 89 to 51 computations (42.7% saved)

preprocess44.0ms (0.7%)

Memory
35.0MiB live, 72.2MiB allocated
Compiler

Compiled 96 to 52 computations (45.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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