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

Time bar (total: 7.4s)

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)

sample1.3s (17.8%)

Memory
3.3MiB live, 1 197.7MiB allocated
Samples
1.1s8 249×0valid
0.0ms4×1valid
0.0ms3×2valid
Precisions
Click to see histograms. Total time spent on operations: 443.0ms
ival-div: 305.0ms (68.8% of total)
ival-mult: 80.0ms (18.1% of total)
ival-add: 36.0ms (8.1% of total)
exact: 13.0ms (2.9% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess25.0ms (0.3%)

Memory
-6.1MiB live, 37.9MiB allocated
Algorithm
1×egg-herbie
Rules
22×distribute-lft-neg-in
16×sub-neg
14×associate--r+
14×associate-+l-
14×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

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

explain104.0ms (1.4%)

Memory
24.8MiB live, 189.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 108 binary64)
00-0-(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
00-0-#s(literal 841 binary64)
00-0-(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
00-0-#s(literal 4 binary64)
00-0-(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
00-0-(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
00-0-#s(literal 29 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
42.0ms508×0valid
1.0ms4×5exit
Compiler

Compiled 74 to 40 computations (45.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 17.0ms (57.1% of total)
ival-div: 8.0ms (26.9% of total)
ival-mult: 3.0ms (10.1% of total)
exact: 1.0ms (3.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

simplify8.0ms (0.1%)

Memory
-31.0MiB live, 7.6MiB 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)

localize26.0ms (0.3%)

Memory
7.5MiB live, 46.1MiB 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
16.0ms254×0valid
0.0ms2×5exit
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (55.8% of total)
ival-mult: 2.0ms (27.9% of total)
ival-add: 1.0ms (13.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.1MiB live, 3.1MiB 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)
0.0ms
x
@0
(+ (* (/ 841 108) x) (/ 4 29))

simplify6.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB 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)

rewrite484.0ms (6.5%)

Memory
16.4MiB live, 524.8MiB 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)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
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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)))

eval405.0ms (5.4%)

Memory
-45.7MiB live, 48.9MiB allocated
Compiler

Compiled 7 005 to 638 computations (90.9% saved)

prune32.0ms (0.4%)

Memory
9.1MiB live, 88.0MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2378245
Fresh000
Picked101
Done000
Total2388246
Accuracy
100.0%
Counts
246 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
99.7%
(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))
▶77.3%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
▶99.9%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
51.9%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
▶49.8%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 148 to 112 computations (24.3% saved)

simplify9.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓cost-diff0
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
✓cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓cost-diff0
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓cost-diff0
(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
62×lower-*.f32
56×lower-*.f64
36×lower-fma.f32
26×lower-fma.f64
20×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029101
04599
16299
27599
38199
48499
58599
08599
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)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
Outputs
(-.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)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.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)

localize112.0ms (1.5%)

Memory
-17.1MiB live, 258.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 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))))
✓accuracy99.7%
(*.f64 x #s(literal 707281/11664 binary64))
✓accuracy99.5%
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓accuracy99.8%
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓accuracy78.0%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓accuracy99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓accuracy50.6%
#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
64.0ms246×0valid
4.0ms7×1valid
3.0ms2×5exit
1.0ms1×2valid
Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
const: 21.0ms (39.6% of total)
ival-mult: 13.0ms (24.5% of total)
ival-div: 9.0ms (17% of total)
ival-add: 6.0ms (11.3% of total)
adjust: 1.0ms (1.9% of total)
ival-sub: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
27.4MiB live, 27.4MiB allocated
Counts
13 → 156
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)) (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 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))>
#<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 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 (* 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 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 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 (* 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

39 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@0
(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@inf
(+ (* (* x 707281/11664) (/ x (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms
x
@0
(/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29))
0.0ms
x
@inf
(/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29))

simplify319.0ms (4.3%)

Memory
-48.2MiB live, 289.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 552×lower-fma.f64
6 552×lower-fma.f32
2 674×lower-*.f64
2 674×lower-*.f32
1 516×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128758
1312753
2671746
31332746
42535746
55530746
08093662
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 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)
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 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 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 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 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
4/29
#s(literal 4/29 binary64)
(+ 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))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* -29/4 x)
(*.f64 x #s(literal -29/4 binary64))
(* x (- (* -707281/1728 x) 29/4))
(*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64)))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal 108/841 binary64) (+.f64 (/.f64 #s(literal 46656/20511149 binary64) x) (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)) (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) (*.f64 x x))) x)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal 108/841 binary64) (+.f64 (/.f64 #s(literal 46656/20511149 binary64) x) (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x)) x))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 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)

rewrite480.0ms (6.5%)

Memory
39.4MiB live, 748.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 842×lower-fma.f32
9 832×lower-fma.f64
4 214×lower-/.f32
4 208×lower-/.f64
3 812×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02978
04557
116257
2112857
0912257
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 411
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)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.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 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 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 #s(literal 4/29 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (*.f64 (neg.f64 x) #s(literal -841/108 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 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 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal -841/108 binary64))) (neg.f64 (*.f64 x #s(literal -841/108 binary64))))) (-.f64 #s(literal -4/29 binary64) (neg.f64 (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -841/108 binary64))) (neg.f64 (*.f64 x #s(literal -841/108 binary64)))) #s(literal 16/841 binary64)) (-.f64 (neg.f64 (*.f64 x #s(literal -841/108 binary64))) #s(literal -4/29 binary64)))
(/.f64 (-.f64 (*.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 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))) (fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64))))))
(*.f64 #s(literal 1 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)) (/.f64 #s(literal 1 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)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(/.f64 #s(literal 1 binary64) (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))))
(pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 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 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.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 -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1/2 binary64)))

eval356.0ms (4.8%)

Memory
24.8MiB live, 397.0MiB allocated
Compiler

Compiled 46 818 to 2 018 computations (95.7% saved)

prune236.0ms (3.2%)

Memory
-43.6MiB live, 216.1MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1 64841 652
Fresh213
Picked235
Done000
Total1 65281 660
Accuracy
100.0%
Counts
1 660 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(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)))
▶99.9%
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #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))))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶29.2%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
✓99.9%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
▶51.9%
#s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
✓49.8%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 126 to 91 computations (27.8% saved)

simplify15.0ms (0.2%)

Memory
-3.2MiB live, 35.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓cost-diff0
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
✓cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓cost-diff0
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
✓cost-diff0
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
✓cost-diff0
(*.f64 #s(literal 841/108 binary64) x)
✓cost-diff0
#s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.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 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓cost-diff0
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
✓cost-diff0
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #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))))
Rules
146×lower-*.f32
136×lower-*.f64
84×lower-fma.f32
72×lower-fma.f64
60×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035176
055172
182172
2105172
3117172
4119172
5153172
6166172
7178172
0178172
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
x
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #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 (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
(*.f64 x #s(literal -841/108 binary64))
#s(literal -841/108 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
#s(literal 841/108 binary64)
x
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
Outputs
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #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 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))))
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
x
(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 (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(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 (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
(*.f64 x #s(literal -841/108 binary64))
#s(literal -841/108 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(literal 841/108 binary64)
x
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal 707281/11664 binary64) x) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)

localize126.0ms (1.7%)

Memory
29.3MiB live, 259.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 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))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓accuracy99.7%
(*.f64 x #s(literal 707281/11664 binary64))
✓accuracy50.9%
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
✓accuracy99.9%
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
✓accuracy99.8%
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓accuracy99.8%
(*.f64 x #s(literal -841/108 binary64))
✓accuracy78.0%
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
✓accuracy52.1%
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
✓accuracy99.8%
(*.f64 #s(literal 841/108 binary64) x)
✓accuracy52.0%
#s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
✓accuracy99.9%
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #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))))
✓accuracy99.8%
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓accuracy99.7%
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
✓accuracy99.5%
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
Samples
64.0ms246×0valid
7.0ms2×5exit
3.0ms7×1valid
2.0ms1×2valid
Compiler

Compiled 185 to 30 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
const: 22.0ms (40.3% of total)
ival-mult: 13.0ms (23.8% of total)
ival-div: 12.0ms (22% of total)
ival-add: 7.0ms (12.8% of total)
adjust: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #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))))>
#<alt (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 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 #s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.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 (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))>
#<alt (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))>
#<alt (*.f64 x x)>
#<alt #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (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 (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)))>
#<alt (*.f64 x #s(literal 707281/11664 binary64))>
#<alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))>
#<alt (*.f64 x #s(literal -841/108 binary64))>
#<alt #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #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 (* -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 (* -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 (* 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 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 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 (+ 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 (* 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 (+ 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 (* -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 (* 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

54 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ 1 (+ (* 841/108 x) 4/29))
0.0ms
x
@inf
(* 707281/11664 (/ x (+ (* 841/108 x) -4/29)))
0.0ms
x
@0
(* 707281/11664 (/ x (+ (* 841/108 x) -4/29)))
0.0ms
x
@inf
(/ 1 (+ (* 841/108 x) 4/29))
0.0ms
x
@0
(* x -841/108)

simplify409.0ms (5.5%)

Memory
6.7MiB live, 485.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 532×lower-fma.f64
9 532×lower-fma.f32
2 906×lower-*.f64
2 906×lower-*.f32
2 226×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971172
15051155
211061142
323001138
450991126
082701015
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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)))
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
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(* 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)
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(* 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)
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))
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
Outputs
4/29
#s(literal 4/29 binary64)
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(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
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(* 841/108 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)
(*.f64 #s(literal 841/108 binary64) x)
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(* x (+ 841/108 (* 4/29 (/ 1 x))))
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(* -20511149/46656 x)
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(* 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)
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(+.f64 #s(literal 841/108 binary64) (+.f64 (/.f64 #s(literal 4/29 binary64) x) (/.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))))))
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841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
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(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x) #s(literal -4/29 binary64)) x))
(* -29/4 x)
(*.f64 x #s(literal -29/4 binary64))
(* x (- (* -707281/1728 x) 29/4))
(*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64)))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
108/841
#s(literal 108/841 binary64)
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(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
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(+.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
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(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
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(* 841/108 x)
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(* -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)
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(* 841/108 x)
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(* 841/108 x)
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(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
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(*.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)
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(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
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(* 841/108 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))
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(* 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 (*.f64 x 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 (*.f64 x 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)
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4/29
#s(literal 4/29 binary64)
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(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))
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 #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 (+.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 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal -20155392/500246412961 binary64)) x)) x)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 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))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 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)
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #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)

rewrite595.0ms (8%)

Memory
-37.3MiB live, 657.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 544×lower-fma.f32
5 532×lower-fma.f64
4 966×lower-/.f32
4 956×lower-/.f64
4 168×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035140
055136
1201136
21389136
08315136
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 899
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(*.f64 x #s(literal -841/108 binary64))
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
Outputs
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (fma.f64 #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))))) (neg.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 #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)))))))
(-.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (fma.f64 #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))))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (fma.f64 #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))))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
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(fma.f64 (/.f64 (*.f64 x #s(literal 841/108 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 (*.f64 x #s(literal 841/108 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 (*.f64 x #s(literal -841/108 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 (*.f64 x #s(literal -841/108 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal -841/108 binary64)) x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 #s(literal -841/108 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal -841/108 binary64)) x) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal -841/108 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -841/108 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
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(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal 841/108 binary64)) x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
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(*.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 x (*.f64 x x)))) (*.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) (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (-.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))))
(*.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 x (*.f64 x x)))) (*.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) (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 353814783205469041/1586874322944 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (-.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))))
(*.f64 (-.f64 (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) (*.f64 x x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(*.f64 #s(literal 707281/11664 binary64) x)
(*.f64 x #s(literal 707281/11664 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (neg.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))))
(/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 binary64))))))
(pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 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 -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) (*.f64 x #s(literal -841/108 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 (*.f64 x (*.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 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 16/841 binary64) (fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 x #s(literal -841/108 binary64))
(*.f64 #s(literal -841/108 binary64) x)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))

eval193.0ms (2.6%)

Memory
-1.3MiB live, 352.1MiB allocated
Compiler

Compiled 31 714 to 2 785 computations (91.2% saved)

prune345.0ms (4.6%)

Memory
5.7MiB live, 325.2MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 29241 296
Fresh000
Picked415
Done033
Total1 29681 304
Accuracy
100.0%
Counts
1 304 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
▶99.6%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶29.3%
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
▶51.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
✓99.9%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓51.9%
#s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
✓49.8%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 60 to 40 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))
✓cost-diff0
(/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
✓cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
✓cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓cost-diff0
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
✓cost-diff0
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
✓cost-diff0
(*.f64 x #s(literal 707281/11664 binary64))
✓cost-diff0
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
✓cost-diff0
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
✓cost-diff0
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
✓cost-diff0
(/.f64 #s(literal 108/841 binary64) x)
✓cost-diff0
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
Rules
82×lower-*.f32
72×lower-*.f64
48×lower-fma.f32
44×lower-fma.f64
28×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038199
051199
173199
293199
3101199
4104199
5105199
0105184
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
(*.f64 x #s(literal -841/108 binary64))
#s(literal -841/108 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
#s(literal 108/841 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
#s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
(*.f64 x #s(literal -841/108 binary64))
#s(literal -841/108 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
#s(literal 108/841 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
#s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)

localize291.0ms (3.9%)

Memory
11.9MiB live, 130.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓accuracy99.7%
(*.f64 x #s(literal 707281/11664 binary64))
✓accuracy52.1%
#s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))
✓accuracy50.9%
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
✓accuracy99.7%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓accuracy99.7%
(*.f64 x #s(literal 707281/11664 binary64))
✓accuracy52.2%
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
✓accuracy50.9%
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
✓accuracy78.0%
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
✓accuracy52.1%
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
✓accuracy51.8%
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
✓accuracy99.6%
(/.f64 #s(literal 108/841 binary64) x)
✓accuracy51.7%
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
Samples
248.0ms246×0valid
3.0ms7×1valid
3.0ms2×5exit
1.0ms1×2valid
Compiler

Compiled 151 to 29 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
const: 170.0ms (86.5% of total)
ival-div: 10.0ms (5.1% of total)
ival-mult: 10.0ms (5.1% of total)
ival-add: 6.0ms (3.1% of total)
adjust: 1.0ms (0.5% 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
-26.6MiB live, 11.7MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))>
#<alt #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))>
#<alt (/.f64 #s(literal 108/841 binary64) x)>
#<alt (/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))>
#<alt #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))>
#<alt (*.f64 x #s(literal 707281/11664 binary64))>
#<alt #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))>
#<alt #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))>
#<alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))>
#<alt (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))>
#<alt #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))>
#<alt #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 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 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 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 (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (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 (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 (* 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 (+ 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 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 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 (- (* 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)))))>
Calls

45 calls:

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

simplify583.0ms (7.8%)

Memory
20.2MiB live, 466.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 800×lower-fma.f64
10 800×lower-fma.f32
2 964×lower-*.f64
2 964×lower-*.f32
2 682×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165984
1434972
2958966
32001962
44491938
08188851
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))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
29/4
#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)
(/ 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)
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 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* -29/4 x)
(*.f64 x #s(literal -29/4 binary64))
(* x (- (* -707281/1728 x) 29/4))
(*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64)))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 x (fma.f64 x #s(literal 20511149/46656 binary64) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 500246412961/20155392 binary64) #s(literal 20511149/46656 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/ -1728/707281 x)
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(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
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(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
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(/ -1728/707281 x)
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(* -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)
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))
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(* 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)
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(* -29/4 x)
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108/841
#s(literal 108/841 binary64)
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108/841
#s(literal 108/841 binary64)
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-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)
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(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
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(* 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 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))

rewrite352.0ms (4.7%)

Memory
-20.9MiB live, 618.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 816×lower-fma.f32
8 812×lower-fma.f64
4 974×lower-*.f32
4 964×lower-*.f64
3 330×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038167
051167
1194167
21219167
09300153
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 250
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64)))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
#s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64))
#s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
#s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(pow.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))
(pow.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
(*.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))))
(*.f64 (neg.f64 #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x))) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -108/841 binary64) x))
(neg.f64 (/.f64 #s(literal -108/841 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -108/841 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal -108/841 binary64) (neg.f64 x))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #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 -1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(*.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 108/841 binary64))
(*.f64 (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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))) (/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))))
(neg.f64 (/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))))
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) (neg.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
(pow.f64 (/.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))))
(*.f64 (neg.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))))
(neg.f64 (neg.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))))
#s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))))
(*.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(neg.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(*.f64 #s(literal 841/108 binary64) (*.f64 x (*.f64 x #s(literal -841/108 binary64))))
(*.f64 #s(literal 841/108 binary64) (neg.f64 (*.f64 x (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 x (*.f64 x #s(literal -707281/11664 binary64)))
(*.f64 (*.f64 #s(literal 841/108 binary64) x) (*.f64 x #s(literal -841/108 binary64)))
(*.f64 #s(literal -707281/11664 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 #s(literal -841/108 binary64) (*.f64 x (*.f64 #s(literal 841/108 binary64) x)))
(*.f64 #s(literal -841/108 binary64) (neg.f64 (*.f64 x (*.f64 x #s(literal -841/108 binary64)))))
(*.f64 (*.f64 x #s(literal -841/108 binary64)) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) (neg.f64 (*.f64 x x)))
(*.f64 (*.f64 x #s(literal 707281/11664 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(*.f64 (neg.f64 x) (*.f64 x #s(literal 707281/11664 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal -841/108 binary64))) #s(literal 841/108 binary64))
(*.f64 (*.f64 x (*.f64 #s(literal 841/108 binary64) x)) #s(literal -841/108 binary64))
(*.f64 (*.f64 x #s(literal -707281/11664 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 707281/11664 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (*.f64 x x)) #s(literal 707281/11664 binary64))
(*.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 841/108 binary64) x))) #s(literal 841/108 binary64))
(*.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -841/108 binary64)))) #s(literal -841/108 binary64))
(*.f64 (*.f64 (neg.f64 x) #s(literal 707281/11664 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 x (*.f64 #s(literal 707281/11664 binary64) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))))
(+.f64 (*.f64 x (*.f64 #s(literal 707281/11664 binary64) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
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(*.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))) x) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (+.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))))))
(*.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (neg.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))))))
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) x)) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (neg.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))) x) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (+.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))))))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) x)) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))) (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (*.f64 x #s(literal -707281/11664 binary64)) (neg.f64 (neg.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))))))
(*.f64 (-.f64 (*.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 500246412961/136048896 binary64)) x)) (*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)) (/.f64 (*.f64 #s(literal -707281/11664 binary64) (*.f64 x x)) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))) (/.f64 (neg.f64 x) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) x))
(/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(pow.f64 (/.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(neg.f64 (neg.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(/.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(literal -1 binary64))
#s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)))
(*.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
(neg.f64 (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))
(/.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))) #s(literal -1 binary64))
#s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(*.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64)))))

eval53.0ms (0.7%)

Memory
29.3MiB live, 103.4MiB allocated
Compiler

Compiled 8 647 to 759 computations (91.2% saved)

prune45.0ms (0.6%)

Memory
-24.3MiB live, 97.1MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New4631464
Fresh000
Picked044
Done044
Total4639472
Accuracy
100.0%
Counts
472 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓99.6%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓99.6%
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
✓99.9%
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓29.3%
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
✓51.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
✓99.9%
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓51.9%
#s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
✓49.8%
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
Compiler

Compiled 233 to 95 computations (59.2% saved)

regimes16.0ms (0.2%)

Memory
33.4MiB live, 33.4MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.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))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 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)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.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)))
(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 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #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 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))))
Outputs
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #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))))
Calls

3 calls:

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

Compiled 18 to 15 computations (16.7% saved)

regimes17.0ms (0.2%)

Memory
-10.7MiB live, 27.6MiB allocated
Counts
16 → 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 (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.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))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 #s(approx (/ x (+ (* 841/108 x) -4/29)) #s(literal 108/841 binary64)) x) #s(literal 707281/11664 binary64) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 841/108 x) 4/29)) (/.f64 #s(literal 108/841 binary64) x)))
(/.f64 #s(approx (+ (* (* x x) -707281/11664) 16/841) (*.f64 (*.f64 x x) #s(literal -707281/11664 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)) #s(approx (+ (* x -841/108) 4/29) (*.f64 x #s(literal -841/108 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x #s(approx (+ (* 841/108 x) -4/29) (*.f64 #s(literal 841/108 binary64) x))) #s(approx (/ 16/841 (+ (* x -841/108) 4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.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)))
(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))))
Outputs
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
Calls

3 calls:

7.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
5.0ms
x
4.0ms
(+.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)

regimes8.0ms (0.1%)

Memory
-22.2MiB live, 16.3MiB allocated
Counts
4 → 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 (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
Calls

3 calls:

4.0ms
x
2.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
2.0ms
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
99.9%1(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes6.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB 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 (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29)) (*.f64 #s(literal 841/108 binary64) x))
Outputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
Calls

3 calls:

2.0ms
x
2.0ms
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) 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
98.3%3x
98.3%3(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
98.3%3(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

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

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.0440992052222583e-5
7.220437656482925
0.0ms
-660041873293.3885
-5.750981239377866e-5
Compiler

Compiled 13 to 13 computations (0% saved)

simplify15.0ms (0.2%)

Memory
-29.9MiB live, 20.5MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03473
13973
24473
34673
44773
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -500000000000 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 7378697629483821/147573952589676412928 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 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -500000000000 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 7378697629483821/147573952589676412928 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 -500000000000 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 7378697629483821/147573952589676412928 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))

soundness341.0ms (4.6%)

Memory
2.7MiB live, 274.0MiB allocated
Rules
10 628×lower-fma.f64
10 628×lower-fma.f32
9 842×lower-fma.f32
9 832×lower-fma.f64
4 272×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02978
04557
116257
2112857
0912257
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
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 126 to 78 computations (38.1% saved)

preprocess60.0ms (0.8%)

Memory
32.0MiB live, 109.5MiB allocated
Compiler

Compiled 128 to 70 computations (45.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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