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

Time bar (total: 7.9s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 11 computations (0% saved)

sample711.0ms (9%)

Memory
14.2MiB live, 1 122.1MiB allocated
Samples
448.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-mult: 101.0ms (40.1% of total)
ival-div: 90.0ms (35.7% of total)
ival-sub: 40.0ms (15.9% of total)
exact: 11.0ms (4.4% of total)
ival-true: 7.0ms (2.8% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess53.0ms (0.7%)

Memory
9.2MiB live, 48.1MiB allocated
Algorithm
1×egg-herbie
Rules
476×distribute-lft-in
416×distribute-rgt-in
346×unsub-neg
290×associate-*r*
228×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15637
216035
352835
4153835
5177935
6200635
7210335
8213735
9214935
097
0147
1217
2367
3667
4887
0886
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Symmetry

(negabs y)

explain93.0ms (1.2%)

Memory
-14.2MiB live, 183.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 3 binary64)
00-0-#s(literal 16 binary64)
00-0-#s(literal 116 binary64)
00-0-(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
00-0-(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
00-0-(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
00-0-y
00-0-(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
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
32.0ms486×0valid
2.0ms12×2valid
2.0ms14×1valid
Compiler

Compiled 84 to 40 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (35% of total)
ival-div: 6.0ms (30% of total)
ival-sub: 6.0ms (30% of total)
exact: 1.0ms (5% 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify6.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
✓cost-diff0
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
✓cost-diff128
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓cost-diff704
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
Rules
60×lower-*.f32
56×lower-*.f64
36×lower-fma.f64
36×lower-fma.f32
26×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
01421
12121
23621
36621
48821
08819
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
(+.f64 x #s(literal -4/29 binary64))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 4/29 binary64)
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y

localize31.0ms (0.4%)

Memory
-0.8MiB live, 39.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
✓accuracy99.9%
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Samples
14.0ms243×0valid
1.0ms6×2valid
1.0ms7×1valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36% of total)
ival-mult: 3.0ms (36% of total)
ival-sub: 1.0ms (12% 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)

series4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))>
#<alt (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)>
#<alt (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))>
Outputs
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* (* (- x (/ 16 116)) 3) y)
1.0ms
y
@inf
(* (* (- x (/ 16 116)) 3) y)
0.0ms
x
@-inf
(* (* (- x (/ 16 116)) 3) y)
0.0ms
x
@inf
(* (- x (/ 16 116)) 3)
0.0ms
x
@0
(* (* (- x (/ 16 116)) 3) y)

simplify366.0ms (4.6%)

Memory
3.2MiB live, 238.9MiB allocated
Algorithm
1×egg-herbie
Rules
4 408×lower-fma.f64
4 408×lower-fma.f32
3 680×lower-*.f64
3 680×lower-*.f32
2 488×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042284
1112242
2290242
3614242
41569242
52629242
63705242
74196242
84371242
94391242
104405242
115139242
125519242
135745242
146196242
156558242
166564242
176576242
186576242
08629212
Stop Event
1×iter limit
1×node limit
Counts
48 → 46
Calls
Call 1
Inputs
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
Outputs
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))

rewrite490.0ms (6.2%)

Memory
-4.0MiB live, 348.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 904×lower-/.f64
4 904×lower-/.f32
4 434×lower-fma.f64
4 434×lower-fma.f32
4 154×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
01416
13516
216416
3126316
0891814
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 507
Calls
Call 1
Inputs
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Outputs
#s(literal 4/29 binary64)
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
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(*.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 4/29 binary64) x) (*.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 4/29 binary64) x) (+.f64 #s(literal 4/29 binary64) x))))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (fma.f64 x x (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.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) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))))
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(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -256/707281 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -262144/14507145975869 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))))
(*.f64 (/.f64 (fma.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 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (+.f64 #s(literal 4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (fma.f64 x (neg.f64 x) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64)))))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 #s(literal 4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x (neg.f64 x) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)))

eval130.0ms (1.6%)

Memory
26.8MiB live, 104.3MiB allocated
Compiler

Compiled 16 483 to 1 806 computations (89% saved)

prune183.0ms (2.3%)

Memory
-3.2MiB live, 118.0MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5458553
Fresh000
Picked101
Done000
Total5468554
Accuracy
100.0%
Counts
554 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
▶99.5%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.7%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
▶99.6%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶50.5%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
▶50.6%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
50.5%
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
Compiler

Compiled 136 to 98 computations (27.9% saved)

simplify44.0ms (0.6%)

Memory
-32.0MiB live, 7.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
✓cost-diff896
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓cost-diff0
(+.f64 x #s(literal -4/29 binary64))
✓cost-diff0
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓cost-diff128
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓cost-diff0
(*.f64 #s(literal 3 binary64) x)
✓cost-diff0
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
✓cost-diff0
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓cost-diff0
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
✓cost-diff0
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 y (*.f64 x #s(literal 3 binary64)))
✓cost-diff320
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
Rules
100×lower-*.f32
86×lower-*.f64
70×lower-/.f32
66×lower-/.f64
64×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026106
039102
16297
28596
312796
415196
516696
617996
719296
820196
920696
020696
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
y
#s(literal -12/29 binary64)
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
(+.f64 x #s(literal -4/29 binary64))
x
#s(literal -4/29 binary64)
y
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
y
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
Outputs
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
y
#s(literal -12/29 binary64)
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)))
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))))
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
#s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
x
y
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+.f64 x #s(literal -4/29 binary64))
x
#s(literal -4/29 binary64)
y
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
y
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)

localize120.0ms (1.5%)

Memory
5.2MiB live, 80.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
✓accuracy99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
✓accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
✓accuracy99.9%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
✓accuracy99.7%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
✓accuracy99.8%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓accuracy50.2%
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
✓accuracy99.8%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓accuracy50.4%
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.9%
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
✓accuracy99.7%
(*.f64 y (*.f64 x #s(literal 3 binary64)))
Samples
42.0ms243×0valid
2.0ms6×2valid
2.0ms7×1valid
Compiler

Compiled 108 to 25 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 13.0ms (41.4% of total)
const: 7.0ms (22.3% of total)
ival-div: 5.0ms (15.9% of total)
ival-add: 3.0ms (9.6% of total)
adjust: 1.0ms (3.2% of total)
ival-sub: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#<alt (fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 y (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)>
#<alt #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))>
#<alt (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)>
#<alt #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))>
#<alt (*.f64 (+.f64 x #s(literal -4/29 binary64)) y)>
#<alt (+.f64 x #s(literal -4/29 binary64))>
#<alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))>
#<alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))>
Outputs
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -1 (* y (+ 12/29 (* -3 x))))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -4/29 y)>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt -29/12>
#<alt (- (* -841/48 x) 29/12)>
#<alt (- (* x (- (* -24389/192 x) 841/48)) 29/12)>
#<alt (- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
Calls

63 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x 3)
1.0ms
y
@0
(+ (* y -12/29) (* y (* x 3)))
1.0ms
y
@inf
(+ (* y -12/29) (* y (* x 3)))
0.0ms
y
@0
(/ y (/ 1 (+ (* x 3) -12/29)))
0.0ms
x
@0
(+ (* y -12/29) (* y (* x 3)))

simplify407.0ms (5.2%)

Memory
-17.0MiB live, 310.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 074×lower-fma.f64
7 074×lower-fma.f32
2 492×lower-*.f64
2 492×lower-*.f32
2 114×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121404
12891404
26981404
313621404
435671396
559271396
080531258
Stop Event
1×iter limit
1×node limit
Counts
252 → 250
Calls
Call 1
Inputs
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -1 (* y (+ 12/29 (* -3 x))))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
Outputs
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* y (+ 12/29 (* -3 x))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* y (+ 12/29 (* -3 x))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* y (+ 12/29 (* -3 x))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* y (+ 12/29 (* -3 x))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 x #s(literal -841/48 binary64) #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 x (fma.f64 x #s(literal -24389/192 binary64) #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -707281/768 binary64) #s(literal -24389/192 binary64)) #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (+.f64 #s(literal -4/87 binary64) (/.f64 #s(literal -16/2523 binary64) x)) (/.f64 #s(literal -64/73167 binary64) (*.f64 x x))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (+.f64 #s(literal -4/87 binary64) (/.f64 #s(literal -16/2523 binary64) x)) (/.f64 #s(literal -64/73167 binary64) (*.f64 x x))) x)) x)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))

rewrite526.0ms (6.7%)

Memory
-22.0MiB live, 389.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 930×lower-fma.f32
6 926×lower-fma.f64
4 948×lower-*.f32
4 934×lower-*.f64
3 142×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02688
03984
112779
271078
3737378
0810578
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 273
Calls
Call 1
Inputs
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
(+.f64 x #s(literal -4/29 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
Outputs
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(+.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 144/841 binary64))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (neg.f64 y) #s(literal 12/29 binary64)) (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 (neg.f64 y) (*.f64 x #s(literal -3 binary64))) (*.f64 (neg.f64 y) #s(literal 12/29 binary64)))
(+.f64 (*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 12/29 binary64) (neg.f64 y)) (*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 y)) (*.f64 #s(literal 12/29 binary64) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 144/841 binary64))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))) (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 144/841 binary64))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))) (*.f64 y (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 144/841 binary64))) (*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 y (/.f64 (*.f64 y #s(literal 144/841 binary64)) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))))))
(fma.f64 #s(literal -12/29 binary64) y (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -12/29 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal -12/29 binary64))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))))))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64))))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64)))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 y #s(literal -12/29 binary64)))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64)) (fma.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (*.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (fma.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 1728/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -36/29 binary64) #s(literal 144/841 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x)) #s(literal -192/24389 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x)) #s(literal -192/24389 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal -48/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal 16/841 binary64))))

eval378.0ms (4.8%)

Memory
48.5MiB live, 347.0MiB allocated
Compiler

Compiled 28 651 to 2 097 computations (92.7% saved)

prune212.0ms (2.7%)

Memory
12.7MiB live, 248.3MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 51851 523
Fresh213
Picked235
Done000
Total1 52291 531
Accuracy
100.0%
Counts
1 531 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
50.4%
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
▶50.4%
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
▶99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
▶99.7%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
▶50.4%
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓50.5%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓50.6%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
▶50.5%
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
Compiler

Compiled 118 to 82 computations (30.5% saved)

simplify38.0ms (0.5%)

Memory
-52.0MiB live, 13.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(+.f64 x #s(literal -4/29 binary64))
✓cost-diff128
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
✓cost-diff0
#s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64))
✓cost-diff0
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
✓cost-diff0
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
✓cost-diff0
(*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y)
✓cost-diff0
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
#s(approx (* (+ x -4/29) y) (*.f64 y x))
✓cost-diff0
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
✓cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Rules
84×lower-*.f32
70×lower-*.f64
36×lower-fma.f32
34×lower-fma.f64
26×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025101
035100
150100
284100
310398
410898
010898
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
#s(approx (* (+ x -4/29) y) (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y)
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
y
#s(literal 3 binary64)
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(+.f64 x #s(literal -4/29 binary64))
x
#s(literal -4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(approx (* (+ x -4/29) y) (*.f64 x y)))
#s(approx (* (+ x -4/29) y) (*.f64 y x))
#s(approx (* (+ x -4/29) y) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))))
(*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y)
(*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
y
#s(literal 3 binary64)
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(+.f64 x #s(literal -4/29 binary64))
x
#s(literal -4/29 binary64)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)

localize193.0ms (2.4%)

Memory
5.2MiB live, 121.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
✓accuracy99.7%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
✓accuracy99.6%
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
✓accuracy50.7%
#s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64))
✓accuracy99.9%
(*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y)
✓accuracy99.7%
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓accuracy50.4%
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.7%
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
✓accuracy50.7%
#s(approx (* (+ x -4/29) y) (*.f64 y x))
✓accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
✓accuracy99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Samples
40.0ms243×0valid
31.0ms6×2valid
2.0ms7×1valid
Compiler

Compiled 89 to 20 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
const: 38.0ms (66% of total)
ival-mult: 11.0ms (19.1% of total)
ival-div: 4.0ms (6.9% of total)
ival-add: 4.0ms (6.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#<alt (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)>
#<alt (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))>
#<alt (*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))>
#<alt #s(approx (* (+ x -4/29) y) (*.f64 y x))>
#<alt (*.f64 y x)>
#<alt (*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))>
#<alt (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y)>
#<alt #s(approx (+ x -4/29) #s(literal -4/29 binary64))>
#<alt (/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))>
#<alt #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64))>
#<alt (*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))>
#<alt (+.f64 x #s(literal -4/29 binary64))>
#<alt (*.f64 y #s(literal 3 binary64))>
Outputs
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -4/29 y)>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -4/29 y)>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (+ (* -4/29 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x (+ y (* -4/29 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt (* y (- x 4/29))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt -29/12>
#<alt (- (* -841/48 x) 29/12)>
#<alt (- (* x (- (* -24389/192 x) 841/48)) 29/12)>
#<alt (- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
Calls

63 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* y x)
0.0ms
x
@-inf
(* y x)
0.0ms
y
@0
(* y 3)
0.0ms
y
@-inf
(* y 3)
0.0ms
y
@inf
(* y 3)

simplify274.0ms (3.5%)

Memory
13.9MiB live, 399.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 242×lower-fma.f64
7 242×lower-fma.f32
2 594×lower-*.f64
2 594×lower-*.f32
2 174×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081570
12741360
26381360
312911360
435071352
558521352
679451352
080381232
Stop Event
1×iter limit
1×node limit
Counts
252 → 248
Calls
Call 1
Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(+ (* -4/29 y) (* x y))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x (+ y (* -4/29 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
(* y (- x 4/29))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ (* -4/29 y) (* x y))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x (+ y (* -4/29 (/ y x))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(* y (- x 4/29))
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 x #s(literal -841/48 binary64) #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 x (fma.f64 x #s(literal -24389/192 binary64) #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -707281/768 binary64) #s(literal -24389/192 binary64)) #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x)))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x)))) x)) x)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))

rewrite415.0ms (5.3%)

Memory
2.6MiB live, 562.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 776×lower-/.f32
4 774×lower-/.f64
3 738×lower-*.f32
3 724×lower-*.f64
3 098×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02585
03584
19384
244484
3333584
0909084
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 646
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
#s(approx (* (+ x -4/29) y) (*.f64 y x))
(*.f64 y x)
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y)
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
#s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(+.f64 x #s(literal -4/29 binary64))
(*.f64 y #s(literal 3 binary64))
Outputs
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal -12/29 binary64) y)) (-.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (-.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (*.f64 #s(literal 3 binary64) y))) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -12/29 binary64) y))) (/.f64 (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal -12/29 binary64) y)) (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -12/29 binary64) y))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 #s(literal -12/29 binary64) y (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 y #s(literal -12/29 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y (fma.f64 x x #s(literal -16/841 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -144/841 binary64)))))
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(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))) (+.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal 16/841 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (fma.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 x (*.f64 x x)) #s(literal 4096/594823321 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -64/24389 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 4/29 binary64)) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))

eval410.0ms (5.2%)

Memory
8.0MiB live, 162.5MiB allocated
Compiler

Compiled 15 525 to 1 737 computations (88.8% saved)

prune819.0ms (10.4%)

Memory
-17.8MiB live, 154.8MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New8931894
Fresh011
Picked055
Done033
Total89310903
Accuracy
100.0%
Counts
903 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
▶50.4%
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓50.4%
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
✓99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓99.7%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
✓50.4%
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
▶50.4%
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
✓50.5%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓50.6%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓50.5%
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
Compiler

Compiled 79 to 55 computations (30.4% saved)

simplify6.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
✓cost-diff0
#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
✓cost-diff0
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓cost-diff0
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
✓cost-diff0
(*.f64 #s(literal 3 binary64) y)
✓cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
Rules
28×lower-*.f32
24×lower-*.f64
12×*-commutative
8×lower-+.f64
8×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01750
02150
13050
23750
33950
03948
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
y
#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
y
#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x

localize50.0ms (0.6%)

Memory
2.9MiB live, 123.2MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
✓accuracy50.0%
#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
✓accuracy50.4%
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
Samples
37.0ms256×0valid
Compiler

Compiled 40 to 17 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
const: 13.0ms (50.4% of total)
ival-div: 5.0ms (19.4% of total)
ival-mult: 5.0ms (19.4% of total)
ival-add: 3.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) y)>
#<alt #s(approx (+ x -4/29) #s(literal -4/29 binary64))>
#<alt (/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))>
#<alt #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))>
#<alt (/.f64 #s(literal 1/3 binary64) x)>
Outputs
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* y (- (* 3 x) 12/29))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt -29/12>
#<alt (- (* -841/48 x) 29/12)>
#<alt (- (* x (- (* -24389/192 x) 841/48)) 29/12)>
#<alt (- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)>
#<alt (/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 4/87 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 1/3 x)
0.0ms
x
@inf
(/ 1/3 x)
0.0ms
x
@-inf
(/ 1/3 x)
0.0ms
y
@0
(* (* 3 y) (+ x -4/29))
0.0ms
y
@0
(/ y (/ 1 (+ (* x 3) -12/29)))

simplify257.0ms (3.3%)

Memory
-11.9MiB live, 471.1MiB allocated
Algorithm
1×egg-herbie
Rules
6 924×lower-fma.f64
6 924×lower-fma.f32
2 334×lower-*.f64
2 334×lower-*.f32
2 020×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092534
1215534
2480534
3970534
42660526
55092526
08109478
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* y (- (* 3 x) 12/29))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
Outputs
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* y (- x 4/29)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* y (- (* 3 x) 12/29))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 x #s(literal -841/48 binary64) #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 x (fma.f64 x #s(literal -24389/192 binary64) #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -707281/768 binary64) #s(literal -24389/192 binary64)) #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x)))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 64/73167 binary64) (*.f64 x x)))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)

rewrite301.0ms (3.8%)

Memory
-7.1MiB live, 623.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 106×lower-*.f32
5 102×lower-*.f64
4 254×lower-fma.f64
4 254×lower-fma.f32
3 430×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
02144
18144
241044
3295144
0893742
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 80
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(*.f64 #s(literal 3 binary64) y)
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
Outputs
(*.f64 #s(literal 3 binary64) (*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))))
(*.f64 y (*.f64 #s(literal 3 binary64) #s(approx (+ x -4/29) #s(literal -4/29 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 y #s(approx (+ x -4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (+ x -4/29) #s(literal -4/29 binary64))) y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))
#s(approx (+ x -4/29) #s(literal -4/29 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y)))
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) y)) (*.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 y))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 y))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 y #s(literal -1 binary64)))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(pow.f64 (/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y))) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) y)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))
#s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(pow.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1/2 binary64)))

eval19.0ms (0.2%)

Memory
11.1MiB live, 48.4MiB allocated
Compiler

Compiled 1 493 to 218 computations (85.4% saved)

prune21.0ms (0.3%)

Memory
15.0MiB live, 56.5MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New1740174
Fresh000
Picked022
Done088
Total17410184
Accuracy
100.0%
Counts
184 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
✓50.4%
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
✓50.4%
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
✓99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
✓99.7%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
✓50.4%
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
✓50.4%
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
✓50.5%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
✓50.6%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
✓50.5%
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
Compiler

Compiled 177 to 96 computations (45.8% saved)

regimes26.0ms (0.3%)

Memory
-30.0MiB live, 88.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
Outputs
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
Calls

5 calls:

6.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
5.0ms
x
5.0ms
y
4.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.8%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.8%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes20.0ms (0.3%)

Memory
22.8MiB live, 67.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* x 3) -12/29)) #s(literal -29/12 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Calls

5 calls:

5.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms
x
4.0ms
y
3.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
3.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.8%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.8%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes13.0ms (0.2%)

Memory
-1.6MiB live, 38.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (+ x -4/29) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(approx (+ x -4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
Outputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
Calls

5 calls:

3.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms
y
2.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
2.0ms
x
2.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.0%3x
60.6%3y
82.1%3(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
97.0%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.0%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory
-23.1MiB live, 16.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(approx (* (+ x -4/29) y) (*.f64 y x)) #s(literal 3 binary64))
Outputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))
Calls

3 calls:

2.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
2.0ms
x
2.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
96.9%3x
96.9%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
96.9%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 19 to 16 computations (15.8% saved)

regimes7.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Outputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Calls

5 calls:

1.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
50.6%1y
50.6%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
50.6%1x
50.6%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
50.6%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-0.13764822241758545
1001.1216119755463
0.0ms
-58.68267012614636
-0.14016976701214595
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-0.13764822241758545
1001.1216119755463
0.0ms
-58.68267012614636
-0.14016976701214595
Compiler

Compiled 14 to 14 computations (0% saved)

simplify9.0ms (0.1%)

Memory
-19.8MiB live, 19.4MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
8×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034123
143123
252123
358123
463123
565123
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Outputs
(fma.f64 y #s(literal -12/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 y #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))) (*.f64 y #s(approx (* (- x (/ 16 116)) 3) (*.f64 x #s(literal 3 binary64))))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 x y)))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -50 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 y x))) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 y #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 #s(literal 3 binary64) (*.f64 y x)))))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
(*.f64 y #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)))

soundness1.2s (14.7%)

Memory
1.1MiB live, 284.5MiB allocated
Rules
4 904×lower-/.f64
4 904×lower-/.f32
4 434×lower-fma.f64
4 434×lower-fma.f32
4 408×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042284
1112242
2290242
3614242
41569242
52629242
63705242
74196242
84371242
94391242
104405242
115139242
125519242
135745242
146196242
156558242
166564242
176576242
186576242
08629212
0916
01416
13516
216416
3126316
0891814
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 156 to 76 computations (51.3% saved)

preprocess67.0ms (0.9%)

Memory
14.3MiB live, 166.9MiB allocated
Remove

(negabs y)

Compiler

Compiled 268 to 122 computations (54.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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