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

Time bar (total: 7.5s)

analyze0.0ms (0%)

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

Compiled 11 to 11 computations (0% saved)

sample712.0ms (9.5%)

Memory
32.0MiB live, 1 194.1MiB allocated
Samples
457.0ms8 255×0valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 276.0ms
ival-div: 156.0ms (56.4% of total)
ival-mult: 57.0ms (20.6% of total)
ival-add: 42.0ms (15.2% of total)
exact: 13.0ms (4.7% of total)
ival-true: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess19.0ms (0.3%)

Memory
-3.5MiB live, 35.1MiB allocated
Algorithm
1×egg-herbie
Rules
22×distribute-lft-neg-in
16×sub-neg
14×associate--r+
14×associate-+l-
14×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

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

explain160.0ms (2.1%)

Memory
14.4MiB live, 137.2MiB 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
109.0ms512×0valid
Compiler

Compiled 74 to 40 computations (45.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 84.0ms (87.4% of total)
ival-div: 8.0ms (8.3% of total)
ival-add: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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)

simplify5.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize27.0ms (0.4%)

Memory
-28.7MiB live, 50.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
✓accuracy100.0%
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Samples
15.0ms256×0valid
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 (56.5% of total)
ival-mult: 2.0ms (28.3% of total)
ival-add: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))>
#<alt (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
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) (/ 4 29))
0.0ms
x
@0
(* (/ 841 108) x)

simplify6.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Algorithm
1×egg-herbie
Rules
44×lower-*.f64
44×lower-*.f32
16×lower-fma.f64
16×lower-fma.f32
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite805.0ms (10.7%)

Memory
-104.8MiB live, 606.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 628×lower-fma.f64
10 628×lower-fma.f32
4 272×lower-/.f64
4 272×lower-/.f32
4 234×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
01510
13210
215710
3121910
083809
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 221
Calls
Call 1
Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #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 x (*.f64 x x)) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))))
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(*.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 x (*.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 29/27 binary64) #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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #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 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 262144/14507145975869 binary64)) (fma.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))))))
(*.f64 (/.f64 (fma.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 262144/14507145975869 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal 4096/594823321 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) (fma.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 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 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 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 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (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)) (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (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)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #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))))
(*.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)))
(exp.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)))

eval30.0ms (0.4%)

Memory
0.3MiB live, 76.2MiB allocated
Compiler

Compiled 7 005 to 638 computations (90.9% saved)

prune73.0ms (1%)

Memory
17.6MiB live, 94.0MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New23411245
Fresh000
Picked101
Done000
Total23511246
Accuracy
100.0%
Counts
246 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
98.9%
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
73.2%
(/.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)))
62.8%
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
▶62.8%
(/.f64 (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
58.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64))))
▶99.9%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
▶73.1%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
54.6%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
▶46.1%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 278 to 204 computations (26.6% saved)

simplify199.0ms (2.7%)

Memory
-20.3MiB live, 139.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff0
(/.f64 (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓cost-diff128
(-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓cost-diff320
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓cost-diff0
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
✓cost-diff128
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
Rules
2 216×lower-fma.f32
2 206×lower-fma.f64
1 416×lower-*.f32
1 406×lower-*.f64
558×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035122
054112
190110
2138110
3209110
4308110
5452110
6801110
71435110
82234110
92910110
103207110
113370110
123417110
133426110
143717110
154038110
164044110
174044110
184044110
194048110
04048108
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
#s(literal -4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 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 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
#s(literal 594823321/1259712 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -64/24389 binary64)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
#s(literal 707281/11664 binary64)
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)
Outputs
(-.f64 (*.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 841/108 binary64) x)
#s(literal 841/108 binary64)
x
#s(literal -4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))) #s(literal 64/24389 binary64))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
#s(literal 594823321/1259712 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -64/24389 binary64)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
#s(literal 707281/11664 binary64)
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)

localize257.0ms (3.4%)

Memory
9.5MiB live, 181.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
✓accuracy99.7%
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
✓accuracy63.8%
(/.f64 (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓accuracy99.9%
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓accuracy73.9%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓accuracy99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓accuracy46.1%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
Samples
207.0ms256×0valid
Compiler

Compiled 137 to 41 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 192.0ms
const: 117.0ms (61.1% of total)
ival-add: 33.0ms (17.2% of total)
ival-mult: 32.0ms (16.7% of total)
ival-div: 7.0ms (3.7% of total)
ival-sub: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series208.0ms (2.8%)

Memory
-31.8MiB live, 11.4MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))>
#<alt (*.f64 #s(literal 841/108 binary64) x)>
#<alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))>
#<alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))>
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))>
#<alt (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))>
#<alt (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))>
#<alt (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 29/4>
#<alt (+ 29/4 (* 707281/1728 x))>
#<alt (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))>
#<alt (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))>
#<alt (/ -108/841 x)>
#<alt (* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)>
#<alt (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)>
#<alt (/ -108/841 x)>
#<alt (* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))>
#<alt 64/24389>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 4/29>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (* -841/108 x)>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* -841/108 x)>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt -29/27>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (* 707281/11664 x)>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* 707281/11664 x)>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt 16/841>
#<alt (+ 16/841 (* -29/27 x))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 29/27)))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 29/27)))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (+ (* (* x x) -707281/11664) 16/841) (/ 1 (+ (* x -841/108) 4/29)))
1.0ms
x
@inf
(/ 1 (+ (* x -841/108) 4/29))
1.0ms
x
@inf
(/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841))
1.0ms
x
@0
(/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841))
0.0ms
x
@inf
(* (+ (* (* x x) -707281/11664) 16/841) (/ 1 (+ (* x -841/108) 4/29)))

simplify496.0ms (6.6%)

Memory
49.7MiB live, 437.2MiB allocated
Algorithm
1×egg-herbie
Rules
7 600×lower-fma.f64
7 600×lower-fma.f32
2 996×lower-*.f64
2 996×lower-*.f32
1 534×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117878
1309874
2711864
31595864
43268864
56019864
08161762
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 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))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
29/4
(+ 29/4 (* 707281/1728 x))
(+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))
(+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)
(/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
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))))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(* 594823321/1259712 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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)))))
-29/27
(- (* 707281/11664 x) 29/27)
(- (* 707281/11664 x) 29/27)
(- (* 707281/11664 x) 29/27)
(* 707281/11664 x)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* 707281/11664 x)
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* 707281/1728 x))
(fma.f64 x #s(literal 707281/1728 binary64) #s(literal 29/4 binary64))
(+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal 707281/1728 binary64)) #s(literal 29/4 binary64))
(+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal 707281/1728 binary64)) #s(literal 29/4 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) x)
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(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 (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
-29/27
#s(literal -29/27 binary64)
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -29/27 x))
(fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))

rewrite540.0ms (7.2%)

Memory
-40.3MiB live, 682.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 478×lower-fma.f32
6 468×lower-fma.f64
4 634×lower-/.f32
4 630×lower-/.f64
4 614×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035100
05477
120377
2131077
0853876
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 020
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(*.f64 #s(literal 841/108 binary64) x)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
Outputs
(+.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 (*.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (neg.f64 (/.f64 #s(literal -64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64) #s(literal 4096/594823321 binary64)))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal -262144/14507145975869 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64) #s(literal 4096/594823321 binary64)))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64)))) (/.f64 #s(literal -64/24389 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64) #s(literal 4096/594823321 binary64)))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64)))) (/.f64 (/.f64 #s(literal -262144/14507145975869 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64) #s(literal 4096/594823321 binary64)))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64)))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 #s(literal -64/24389 binary64) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal 29/27 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64) #s(literal 4096/594823321 binary64)))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (/.f64 #s(literal -262144/14507145975869 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64) #s(literal 4096/594823321 binary64)))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal 29/27 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal 29/27 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -16/841 binary64) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 210457284365172120330305161/1999004627104432128 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64) #s(literal 4096/594823321 binary64))))) (/.f64 #s(literal -262144/14507145975869 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -24389/19683 binary64) #s(literal 4096/594823321 binary64))))))
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(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))) #s(literal 256/707281 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (-.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (*.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))))
(*.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))) #s(literal 256/707281 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal -256/707281 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (-.f64 (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)))))
(*.f64 (-.f64 #s(literal 256/707281 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))))

eval199.0ms (2.7%)

Memory
58.7MiB live, 317.9MiB allocated
Compiler

Compiled 42 505 to 2 165 computations (94.9% saved)

prune101.0ms (1.3%)

Memory
-31.3MiB live, 246.2MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1 21171 218
Fresh336
Picked235
Done000
Total1 216131 229
Accuracy
100.0%
Counts
1 229 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶98.9%
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶73.2%
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
73.1%
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
47.0%
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
▶72.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
58.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64))))
✓99.9%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
27.7%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
▶28.3%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
▶54.6%
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
✓46.1%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 292 to 213 computations (27.1% saved)

simplify409.0ms (5.5%)

Memory
9.9MiB live, 210.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
✓cost-diff0
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓cost-diff0
(/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
✓cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #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 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓cost-diff0
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
✓cost-diff0
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
✓cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓cost-diff1088
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
Rules
3 080×lower-fma.f32
3 068×lower-fma.f64
2 064×lower-*.f32
2 054×lower-*.f64
1 336×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045191
066197
1111197
2169197
3261197
4391197
5548197
6955197
71492197
82430182
93396182
103878182
114183182
124397182
134483182
144997182
155318182
165403182
175627182
185829182
195835182
205837182
215841182
225841182
235881182
245892182
255892182
265996182
276651182
08089179
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
x
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(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 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
Outputs
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
x
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 x (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(*.f64 #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
#s(literal -16/841 binary64)
(fma.f64 #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 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)

localize289.0ms (3.9%)

Memory
15.7MiB live, 294.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓accuracy99.7%
(*.f64 x #s(literal -707281/11664 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
✓accuracy72.6%
(/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
✓accuracy99.9%
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓accuracy73.2%
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓accuracy99.6%
(/.f64 #s(literal -108/841 binary64) x)
✓accuracy73.9%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓accuracy54.5%
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
✓accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
✓accuracy54.7%
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
✓accuracy99.9%
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓accuracy99.7%
(*.f64 x #s(literal 707281/11664 binary64))
✓accuracy99.0%
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓accuracy98.7%
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
Samples
123.0ms256×0valid
Compiler

Compiled 202 to 46 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
const: 49.0ms (47.4% of total)
ival-mult: 23.0ms (22.3% of total)
ival-div: 21.0ms (20.3% of total)
ival-add: 8.0ms (7.7% of total)
ival-sub: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-15.2MiB live, 22.7MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))>
#<alt (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))>
#<alt (*.f64 x #s(literal 707281/11664 binary64))>
#<alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))>
#<alt #s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))>
#<alt (*.f64 #s(literal 841/108 binary64) x)>
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))>
#<alt (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))>
#<alt (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)))>
#<alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))>
#<alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))>
#<alt (/.f64 #s(literal -108/841 binary64) x)>
#<alt (*.f64 x #s(literal -707281/11664 binary64))>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* -20511149/46656 x)>
#<alt (* x (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 29/4>
#<alt (+ 29/4 (* 707281/1728 x))>
#<alt (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))>
#<alt (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))>
#<alt (/ -108/841 x)>
#<alt (* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)>
#<alt (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)>
#<alt (/ -108/841 x)>
#<alt (* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt -16/841>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (- (* 707281/11664 (pow x 2)) 16/841)>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt 4/29>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (* -841/108 x)>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* -841/108 x)>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))>
#<alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)>
#<alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (/ -108/841 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
#<alt (* -707281/11664 x)>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ 1 (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)))
2.0ms
x
@inf
(/ 16/841 (+ (* x -841/108) 4/29))
2.0ms
x
@0
(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@inf
(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@-inf
(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))

simplify382.0ms (5.1%)

Memory
-12.1MiB live, 406.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 496×lower-fma.f64
8 496×lower-fma.f32
3 194×lower-*.f64
3 194×lower-*.f32
2 120×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02141200
15651181
212571170
325971166
458581166
080481052
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
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))))
(* -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)))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
29/4
(+ 29/4 (* 707281/1728 x))
(+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))
(+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)
(/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)
(/ -108/841 x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
-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)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 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)))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
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))
(/ -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)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
(* -707281/11664 x)
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -20511149/46656 x)
(*.f64 x #s(literal -20511149/46656 binary64))
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 x (fma.f64 x #s(literal -500246412961/20155392 binary64) #s(literal -20511149/46656 binary64)))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -12200509765705829/8707129344 binary64) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -297558232675799463481/3761479876608 binary64) #s(literal -12200509765705829/8707129344 binary64)) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+.f64 (/.f64 #s(literal 4/29 binary64) x) (+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(+.f64 #s(literal 841/108 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 746496/17249876309 binary64) (*.f64 x x))) (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x))))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+.f64 (/.f64 #s(literal 4/29 binary64) x) (+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* 707281/1728 x))
(fma.f64 x #s(literal 707281/1728 binary64) #s(literal 29/4 binary64))
(+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal 707281/1728 binary64)) #s(literal 29/4 binary64))
(+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal 707281/1728 binary64)) #s(literal 29/4 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)
(/.f64 (-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) x))
(/.f64 (+.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 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 (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* 707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(fma.f64 x #s(literal -707281/1728 binary64) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(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 (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -1 (* 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)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 x (fma.f64 x #s(literal 20511149/46656 binary64) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 500246412961/20155392 binary64) #s(literal 20511149/46656 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal -139314069504/10260628712958602189 binary64) x)) x) #s(literal -746496/17249876309 binary64)) x)) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -322486272/420707233300201 binary64) (/.f64 #s(literal -139314069504/10260628712958602189 binary64) x)) x) #s(literal -746496/17249876309 binary64)) x)) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))
(* -707281/11664 x)
(*.f64 x #s(literal -707281/11664 binary64))

rewrite674.0ms (9%)

Memory
1.8MiB live, 604.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 338×lower-fma.f32
5 326×lower-fma.f64
5 220×lower-/.f32
5 208×lower-/.f64
4 620×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045156
066154
1278146
22023146
08940142
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 673
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
#s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
(/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -108/841 binary64) x)
(*.f64 x #s(literal -707281/11664 binary64))
Outputs
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
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(pow.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal 1 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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -841/108 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 #s(literal -108/841 binary64) x)
(/.f64 #s(literal -108/841 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 108/841 binary64) (neg.f64 x))
(/.f64 #s(literal 108/841 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(*.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -108/841 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 707281/11664 binary64)))
(neg.f64 (*.f64 x #s(literal 707281/11664 binary64)))
(*.f64 x #s(literal -707281/11664 binary64))
(*.f64 #s(literal 707281/11664 binary64) (neg.f64 x))
(*.f64 #s(literal -707281/11664 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 707281/11664 binary64)))
(*.f64 (neg.f64 x) #s(literal 707281/11664 binary64))

eval132.0ms (1.8%)

Memory
15.0MiB live, 280.0MiB allocated
Compiler

Compiled 24 370 to 2 246 computations (90.8% saved)

prune106.0ms (1.4%)

Memory
-29.8MiB live, 262.2MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1 02531 028
Fresh325
Picked235
Done033
Total1 030111 041
Accuracy
100.0%
Counts
1 041 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶98.6%
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶47.0%
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓72.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
▶47.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))
▶54.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))
✓99.9%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓28.3%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓54.6%
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
✓46.1%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 175 to 131 computations (25.1% saved)

simplify18.0ms (0.2%)

Memory
29.8MiB live, 29.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
✓cost-diff0
(/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))
✓cost-diff0
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64))))
✓cost-diff0
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
✓cost-diff0
#s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64))
✓cost-diff0
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓cost-diff0
(fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
✓cost-diff0
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))
✓cost-diff0
(/.f64 #s(literal 108/841 binary64) x)
✓cost-diff0
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))
✓cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓cost-diff0
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
✓cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
Rules
242×lower-*.f32
240×lower-*.f64
220×lower-fma.f32
202×lower-fma.f64
130×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048251
073245
1127245
2197243
3340243
4361243
0361237
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64)))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
x
(fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64))
#s(literal 17249876309/746496 binary64)
#s(literal -707281/1728 binary64)
#s(literal 29/4 binary64)
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64))
#s(literal 64/24389 binary64)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
x
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
#s(literal 707281/11664 binary64)
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
x
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 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 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
Outputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64)))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
x
(fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64))
#s(literal 17249876309/746496 binary64)
#s(literal -707281/1728 binary64)
#s(literal 29/4 binary64)
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64))
#s(literal 64/24389 binary64)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
x
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
#s(literal 707281/11664 binary64)
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
x
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64))))
(*.f64 x (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 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 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)

localize265.0ms (3.5%)

Memory
2.5MiB live, 276.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 x #s(literal 707281/11664 binary64))
✓accuracy99.0%
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64))))
✓accuracy98.9%
(/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
✓accuracy63.8%
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓accuracy47.0%
#s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64))
✓accuracy99.9%
(fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64))
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))
✓accuracy46.9%
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))
✓accuracy99.6%
(/.f64 #s(literal 108/841 binary64) x)
✓accuracy54.4%
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x))
✓accuracy99.7%
(*.f64 x #s(literal 707281/11664 binary64))
✓accuracy99.7%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓accuracy99.1%
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓accuracy99.0%
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
Samples
207.0ms254×0valid
1.0ms2×1valid
Compiler

Compiled 252 to 52 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-mult: 117.0ms (62.7% of total)
const: 39.0ms (20.9% of total)
ival-div: 14.0ms (7.5% of total)
ival-add: 14.0ms (7.5% of total)
ival-sub: 2.0ms (1.1% 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)

series6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))>
#<alt (*.f64 x #s(literal 707281/11664 binary64))>
#<alt (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))>
#<alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))>
#<alt #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x))>
#<alt (/.f64 #s(literal 108/841 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))>
#<alt #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))>
#<alt (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64))>
#<alt (/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))>
#<alt #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))>
#<alt (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64))))>
#<alt (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))>
#<alt (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))>
#<alt (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))>
#<alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))>
Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* -29/4 x)>
#<alt (* x (- (* -707281/1728 x) 29/4))>
#<alt (* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))>
#<alt (* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (* 17249876309/746496 (pow x 2))>
#<alt (* (pow x 2) (- 17249876309/746496 (* 707281/1728 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 17249876309/746496 (/ 29/4 (pow x 2))) (* 707281/1728 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 17249876309/746496 (/ 29/4 (pow x 2))) (* 707281/1728 (/ 1 x))))>
#<alt (* 17249876309/746496 (pow x 2))>
#<alt (* (pow x 2) (- 17249876309/746496 (* 707281/1728 (/ 1 x))))>
#<alt (* (pow x 2) (+ 17249876309/746496 (* -1 (/ (- 707281/1728 (* 29/4 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 17249876309/746496 (* -1 (/ (- 707281/1728 (* 29/4 (/ 1 x))) x))))>
#<alt -707281/1728>
#<alt (- (* 17249876309/746496 x) 707281/1728)>
#<alt (- (* 17249876309/746496 x) 707281/1728)>
#<alt (- (* 17249876309/746496 x) 707281/1728)>
#<alt (* 17249876309/746496 x)>
#<alt (* x (- 17249876309/746496 (* 707281/1728 (/ 1 x))))>
#<alt (* x (- 17249876309/746496 (* 707281/1728 (/ 1 x))))>
#<alt (* x (- 17249876309/746496 (* 707281/1728 (/ 1 x))))>
#<alt (* 17249876309/746496 x)>
#<alt (* -1 (* x (- (* 707281/1728 (/ 1 x)) 17249876309/746496)))>
#<alt (* -1 (* x (- (* 707281/1728 (/ 1 x)) 17249876309/746496)))>
#<alt (* -1 (* x (- (* 707281/1728 (/ 1 x)) 17249876309/746496)))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 64/24389>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt 16/841>
#<alt (+ 16/841 (* -29/27 x))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 29/27)))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 29/27)))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))>
#<alt -29/27>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (* 707281/11664 x)>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* 707281/11664 x)>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -20511149/46656 x)>
#<alt (* x (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (/ -46656/20511149 x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt (/ (- (* 108/841 x) 46656/20511149) x)>
#<alt 108/841>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt 108/841>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (- 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))>
#<alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)>
#<alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))>
Calls

60 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ (+ (* x 841/108) -4/29) (* x 707281/11664))
0.0ms
x
@inf
(+ (* x (+ (* x 17249876309/746496) -707281/1728)) 29/4)
0.0ms
x
@inf
(/ (+ (* x 841/108) -4/29) (* x 707281/11664))
0.0ms
x
@0
(/ 108/841 x)
0.0ms
x
@-inf
(/ (+ (* x 841/108) -4/29) (* x 707281/11664))

simplify297.0ms (4%)

Memory
-8.3MiB live, 473.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 636×lower-fma.f64
8 636×lower-fma.f32
3 236×lower-*.f64
3 236×lower-*.f32
2 572×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411398
16471376
215031343
333881334
477031334
080541181
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
-4/29
(- (* 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))))
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))))
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))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(* 17249876309/746496 (pow x 2))
(* (pow x 2) (- 17249876309/746496 (* 707281/1728 (/ 1 x))))
(* (pow x 2) (- (+ 17249876309/746496 (/ 29/4 (pow x 2))) (* 707281/1728 (/ 1 x))))
(* (pow x 2) (- (+ 17249876309/746496 (/ 29/4 (pow x 2))) (* 707281/1728 (/ 1 x))))
(* 17249876309/746496 (pow x 2))
(* (pow x 2) (- 17249876309/746496 (* 707281/1728 (/ 1 x))))
(* (pow x 2) (+ 17249876309/746496 (* -1 (/ (- 707281/1728 (* 29/4 (/ 1 x))) x))))
(* (pow x 2) (+ 17249876309/746496 (* -1 (/ (- 707281/1728 (* 29/4 (/ 1 x))) x))))
-707281/1728
(- (* 17249876309/746496 x) 707281/1728)
(- (* 17249876309/746496 x) 707281/1728)
(- (* 17249876309/746496 x) 707281/1728)
(* 17249876309/746496 x)
(* x (- 17249876309/746496 (* 707281/1728 (/ 1 x))))
(* x (- 17249876309/746496 (* 707281/1728 (/ 1 x))))
(* x (- 17249876309/746496 (* 707281/1728 (/ 1 x))))
(* 17249876309/746496 x)
(* -1 (* x (- (* 707281/1728 (/ 1 x)) 17249876309/746496)))
(* -1 (* x (- (* 707281/1728 (/ 1 x)) 17249876309/746496)))
(* -1 (* x (- (* 707281/1728 (/ 1 x)) 17249876309/746496)))
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))))
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
-29/27
(- (* 707281/11664 x) 29/27)
(- (* 707281/11664 x) 29/27)
(- (* 707281/11664 x) 29/27)
(* 707281/11664 x)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* 707281/11664 x)
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -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)))
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))))
(/ -46656/20511149 x)
(/ (- (* 108/841 x) 46656/20511149) x)
(/ (- (* 108/841 x) 46656/20511149) x)
(/ (- (* 108/841 x) 46656/20511149) x)
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
108/841
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
(- 108/841 (* 46656/20511149 (/ 1 x)))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 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)
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(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
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(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
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(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
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(* -29/4 x)
(*.f64 x #s(literal -29/4 binary64))
(* x (- (* -707281/1728 x) 29/4))
(*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64)))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
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(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(+.f64 #s(literal 108/841 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) (/.f64 #s(literal 46656/20511149 binary64) x)))
108/841
#s(literal 108/841 binary64)
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(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
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(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) #s(literal 108/841 binary64))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
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(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
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(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
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(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(fma.f64 x #s(literal -707281/1728 binary64) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 108/841 binary64) #s(literal -46656/20511149 binary64)) (*.f64 x x))
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (+.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)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(/.f64 (fma.f64 x #s(literal 108/841 binary64) #s(literal -46656/20511149 binary64)) (*.f64 x x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.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)) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
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(/ 108/841 x)
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(/ 108/841 x)
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(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
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(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
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(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
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(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) 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 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)

rewrite581.0ms (7.8%)

Memory
-14.8MiB live, 586.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 480×lower-*.f32
4 478×lower-*.f64
4 202×lower-/.f32
4 186×lower-/.f64
3 104×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048206
073200
1333198
22413198
08307192
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 815
Calls
Call 1
Inputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))
#s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64)))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64))
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
Outputs
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 11664/707281 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (neg.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 x #s(literal -707281/11664 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) x)) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64)))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) (*.f64 x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64))))))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))) (neg.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(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)))
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (neg.f64 (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 (neg.f64 (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))
(pow.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal 1 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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))

eval171.0ms (2.3%)

Memory
31.4MiB live, 218.9MiB allocated
Compiler

Compiled 27 046 to 2 111 computations (92.2% saved)

prune97.0ms (1.3%)

Memory
-3.1MiB live, 232.1MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New1 09731 100
Fresh000
Picked325
Done066
Total1 100111 111
Accuracy
100.0%
Counts
1 111 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
96.7%
(fma.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x 841/108) -4/29) (* x 707281/11664)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
46.2%
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (+ (* x 707281/11664) -29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓72.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
✓47.0%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))
✓54.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))
✓99.9%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓28.3%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓54.6%
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
✓46.1%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 375 to 157 computations (58.1% saved)

regimes27.0ms (0.4%)

Memory
-21.7MiB live, 35.1MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
(fma.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))
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (+ (* x 707281/11664) -29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (/.f64 #s(literal 108/841 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x -841/108) 4/29) (+ (* x (* x -707281/11664)) 16/841)) (fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))))
(/.f64 #s(approx (- (* 594823321/1259712 (* x (* x x))) -64/24389) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (/ 1 (+ (* x -841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) #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)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* x 841/108) -4/29) (* x 707281/11664)) #s(literal 108/841 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 594823321/1259712 binary64) (*.f64 x (*.f64 x x))) #s(literal -64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64))))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

12.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
7.0ms
x
7.0ms
(+.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)

regimes6.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ (- (* 594823321/1259712 (* x (* x x))) -64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841)) (*.f64 #s(literal 841/108 binary64) x))
Outputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
Calls

3 calls:

2.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
2.0ms
x
2.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
97.1%3x
97.1%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
97.1%3(*.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
-27.9MiB live, 11.0MiB 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:

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
46.1%1x
46.1%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
46.1%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.01270573675326406
1632892.450122771
0.0ms
-24.278700264469748
-0.00010628955157193415
Compiler

Compiled 13 to 13 computations (0% saved)

simplify7.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02352
12552
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -20 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -20 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))))
(if (<=.f64 (*.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal -20 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) (if (<=.f64 (*.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal 5764607523034235/288230376151711744 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))

soundness132.0ms (1.8%)

Memory
-10.9MiB live, 105.3MiB allocated
Rules
10 628×lower-fma.f64
10 628×lower-fma.f32
4 272×lower-/.f64
4 272×lower-/.f32
4 234×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 69 to 36 computations (47.8% saved)

preprocess29.0ms (0.4%)

Memory
29.3MiB live, 67.5MiB allocated
Compiler

Compiled 86 to 48 computations (44.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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