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

Time bar (total: 6.6s)

analyze0.0ms (0%)

Algorithm
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 12 to 10 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample756.0ms (11.5%)

Results
528.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 304.0ms
ival-mult: 164.0ms (54% of total)
ival-div: 75.0ms (24.7% of total)
ival-sub: 44.0ms (14.5% of total)
const: 17.0ms (5.6% of total)
backward-pass: 3.0ms (1% of total)
Bogosity

preprocess116.0ms (1.8%)

Algorithm
egg-herbie
Rules
2342×fnmadd-define
1950×fma-define
1576×fnmsub-define
1574×fmsub-define
1300×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02146
15844
216839
356736
4189936
5484736
6644636
7733136
8764436
9774436
10777236
0107
1177
2326
3646
41066
51126
01126
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (* (- x (/ 16 116)) 3) y)
Outputs
(* (* (- x (/ 16 116)) 3) y)
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
Call 2
Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (* (- (neg x) (/ 16 116)) 3) y)
(* (* (- x (/ 16 116)) 3) (neg y))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (* (- y (/ 16 116)) 3) x)
Outputs
(* (* (- x (/ 16 116)) 3) y)
(* (fnmsub x -3 12/29) y)
(* (* (- (neg x) (/ 16 116)) 3) y)
(* y (fnmsub x 3 12/29))
(* (* (- x (/ 16 116)) 3) (neg y))
(* y (fnmsub x 3 -12/29))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(* y (fnmsub x -3 -12/29))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (fnmsub x -3 12/29) y)
(* (* (- y (/ 16 116)) 3) x)
(* x (fnmsub y -3 12/29))
Symmetry

(negabs y)

explain98.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
00-0-y
00-0-(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
00-0-(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
00-0-(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
00-0-#s(literal 116 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 16 binary64)
Results
47.0ms468×0valid
6.0ms22×2valid
4.0ms22×1valid
Compiler

Compiled 75 to 29 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 12.0ms (47.1% of total)
ival-mult: 8.0ms (31.4% of total)
ival-sub: 3.0ms (11.8% of total)
const: 1.0ms (3.9% of total)
backward-pass: 1.0ms (3.9% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal -4/29 binary64))
cost-diff0
(*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
Rules
60×*-lowering-*.f32
60×*-lowering-*.f64
36×fma-lowering-fma.f32
36×fma-define
36×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0719
11219
22817
36217
410217
510617
010617
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (+ x -4/29) 3) y)
(* (+ x -4/29) 3)
(+ x -4/29)
x
-4/29
3
y
Outputs
(* (* (+ x -4/29) 3) y)
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(* (+ x -4/29) 3)
(*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64))
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
3
#s(literal 3 binary64)
y

localize34.0ms (0.5%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
accuracy99.9%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64))
accuracy99.8%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
Results
22.0ms234×0valid
3.0ms11×2valid
2.0ms11×1valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
...c/correct-round.rkt:119:19: 5.0ms (34.9% of total)
ival-mult: 5.0ms (34.9% of total)
ival-add: 3.0ms (20.9% of total)
backward-pass: 1.0ms (7% of total)
const: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (* (* (+ x -4/29) 3) y)>
#<alt (* (+ x -4/29) 3)>
#<alt (+ x -4/29)>
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 (* 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 -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 -4/29) 3) y)
1.0ms
x
@inf
(* (* (+ x -4/29) 3) y)
0.0ms
y
@inf
(* (* (+ x -4/29) 3) y)
0.0ms
x
@0
(* (* (+ x -4/29) 3) y)
0.0ms
x
@-inf
(* (* (+ x -4/29) 3) y)

rewrite371.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
4764×/-lowering-/.f32
4764×/-lowering-/.f64
3190×*-lowering-*.f32
3190×*-lowering-*.f64
1718×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0715
12615
215913
3132413
0828713
Stop Event
iter limit
node limit
Counts
3 → 427
Calls
Call 1
Inputs
(* (* (+ x -4/29) 3) y)
(* (+ x -4/29) 3)
(+ x -4/29)
Outputs
(+.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(+.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(+.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -12/29 binary64) y))
(+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y)))
(+.f64 (*.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 binary64) y)) (*.f64 x (*.f64 #s(literal 3 binary64) y)))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) (*.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 3 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 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 (*.f64 #s(literal 3 binary64) y) x (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(fma.f64 #s(literal -12/29 binary64) y (*.f64 (*.f64 x #s(literal 3 binary64)) y))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 #s(literal -12/29 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (+.f64 x #s(literal -4/29 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (+.f64 x #s(literal -4/29 binary64)) y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) #s(literal -192/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (*.f64 y (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))) (*.f64 (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) x) (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) y))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)) (*.f64 #s(literal 3 binary64) y)) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (+.f64 x #s(literal -4/29 binary64)) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)) (*.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) #s(literal -192/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)) (*.f64 #s(literal 3 binary64) y)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) y))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) #s(literal -192/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 3 binary64) y))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)) (*.f64 #s(literal 3 binary64) y))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) y))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 y #s(literal -12/29 binary64))) (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 y (*.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64)))))))
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 256/707281 binary64)) (*.f64 x (*.f64 x #s(literal 16/841 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 256/707281 binary64)) (*.f64 x (*.f64 x #s(literal 16/841 binary64))))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 256/707281 binary64)) (*.f64 x (*.f64 x #s(literal 16/841 binary64))))) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -256/707281 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4/29 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 16/841 binary64))) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 64/24389 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 16/841 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4/29 binary64) x)))

simplify177.0ms (2.7%)

Algorithm
egg-herbie
Rules
2398×fmsub-define
2054×fmm-def
1972×fma-lowering-fma.f32
1972×fma-lowering-fma.f64
1620×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042254
1122212
2324212
3750212
42032212
54151212
67173212
08310212
Stop Event
iter limit
node limit
Counts
48 → 48
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)))))
(* 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)))
-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 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* y (- x 4/29)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
-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))

eval57.0ms (0.9%)

Compiler

Compiled 12635 to 1501 computations (88.1% saved)

prune67.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4687475
Fresh000
Picked101
Done000
Total4697476
Accuracy
100.0%
Counts
476 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
81.1%
(*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))
99.8%
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
99.6%
(*.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))
55.3%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
46.1%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 130 to 100 computations (23.1% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(+.f64 x #s(literal -4/29 binary64))
cost-diff0
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
cost-diff0
(+.f64 x #s(literal -4/29 binary64))
cost-diff0
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
cost-diff0
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
cost-diff0
(*.f64 #s(literal -12/29 binary64) y)
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
cost-diff0
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
Rules
66×fma-define
60×*-lowering-*.f32
60×*-lowering-*.f64
36×fma-lowering-fma.f32
36×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01567
13067
25767
310367
410567
010567
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (+ (* x 3) -12/29) y)
(+ (* x 3) -12/29)
(* x 3)
x
3
-12/29
y
(* -12/29 y)
-12/29
y
(* (* x 3) y)
(* x 3)
x
3
y
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
x
-4/29
y
3
(* (+ x -4/29) (* 3 y))
(+ x -4/29)
x
-4/29
(* 3 y)
3
y
Outputs
(* (+ (* x 3) -12/29) y)
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(+ (* x 3) -12/29)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
-12/29
#s(literal -12/29 binary64)
y
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
-12/29
#s(literal -12/29 binary64)
y
(* (* x 3) y)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
y
(* (* (+ x -4/29) y) 3)
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(* (+ x -4/29) y)
(*.f64 y (+.f64 x #s(literal -4/29 binary64)))
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
y
3
#s(literal 3 binary64)
(* (+ x -4/29) (* 3 y))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(+ x -4/29)
(+.f64 x #s(literal -4/29 binary64))
x
-4/29
#s(literal -4/29 binary64)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
3
#s(literal 3 binary64)
y

localize92.0ms (1.4%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
accuracy99.6%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
accuracy99.9%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
accuracy99.6%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
accuracy99.9%
(*.f64 #s(literal -12/29 binary64) y)
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.9%
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
Results
57.0ms234×0valid
7.0ms11×2valid
6.0ms11×1valid
Compiler

Compiled 74 to 16 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 24.0ms (64.3% of total)
...c/correct-round.rkt:119:19: 8.0ms (21.4% of total)
ival-add: 3.0ms (8% of total)
backward-pass: 1.0ms (2.7% of total)
const: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
10 → 180
Calls
Call 1
Inputs
#<alt (* (+ (* x 3) -12/29) y)>
#<alt (+ (* x 3) -12/29)>
#<alt (* x 3)>
#<alt (* -12/29 y)>
#<alt (* (* x 3) y)>
#<alt (* (* (+ x -4/29) y) 3)>
#<alt (* (+ x -4/29) y)>
#<alt (+ x -4/29)>
#<alt (* (+ x -4/29) (* 3 y))>
#<alt (* 3 y)>
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 (* 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)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 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 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 (* -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 (* 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

45 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (* x 3) y)
1.0ms
x
@0
(* (+ (* x 3) -12/29) y)
1.0ms
y
@0
(* (+ (* x 3) -12/29) y)
0.0ms
y
@0
(* (* x 3) y)
0.0ms
x
@inf
(* (* x 3) y)

rewrite413.0ms (6.3%)

Algorithm
batch-egg-rewrite
Rules
2922×*-lowering-*.f32
2922×*-lowering-*.f64
2808×/-lowering-/.f32
2808×/-lowering-/.f64
2446×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
15844
234444
3297544
0828344
Stop Event
iter limit
node limit
Counts
10 → 642
Calls
Call 1
Inputs
(* (+ (* x 3) -12/29) y)
(+ (* x 3) -12/29)
(* x 3)
(* -12/29 y)
(* (* x 3) y)
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
(* (+ x -4/29) (* 3 y))
(* 3 y)
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)))
(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 (*.f64 x #s(literal 3 binary64)) y (*.f64 #s(literal -12/29 binary64) y))
(fma.f64 #s(literal -12/29 binary64) y (*.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 y #s(literal -12/29 binary64) (*.f64 x (*.f64 #s(literal 3 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 #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 x y) #s(literal 3 binary64) (*.f64 #s(literal -12/29 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) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 4/29 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal -12/29 binary64) y)))) (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (*.f64 #s(literal 3 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)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal -12/29 binary64) y))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (+.f64 (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal -12/29 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 #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)))
(/.f64 (-.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 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 #s(literal 3 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 144/841 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal -4/29 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) y) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) y) (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))))) (neg.f64 (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal -12/29 binary64) y))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 x (*.f64 #s(literal 3 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))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal -12/29 binary64) y))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal -12/29 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 (neg.f64 (-.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 #s(literal -12/29 binary64) y)))) (neg.f64 (-.f64 (*.f64 x (*.f64 #s(literal 3 binary64) y)) (*.f64 #s(literal -12/29 binary64) y))))
(/.f64 (neg.f64 (-.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 x (*.f64 #s(literal 3 binary64) y))))) (neg.f64 (-.f64 (*.f64 #s(literal -12/29 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))))))
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(*.f64 y (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 y (+.f64 x #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal -4/29 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))) y))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (/.f64 y (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))) y))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (/.f64 y (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 x #s(literal 4/29 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))))
(*.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(*.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))) (*.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))) (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64)) (*.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))) (-.f64 (-.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (*.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
(*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -144/841 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal 1728/24389 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x #s(literal -36/29 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 (*.f64 x (*.f64 x x)) #s(literal -64/24389 binary64)))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x (+.f64 x #s(literal 4/29 binary64)))) (+.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))) (+.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 x #s(literal -4/29 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 (+.f64 (*.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(*.f64 #s(literal 3 binary64) y)
(*.f64 y #s(literal 3 binary64))

simplify179.0ms (2.7%)

Algorithm
egg-herbie
Rules
1928×sum5-define
1810×*-lowering-*.f32
1810×*-lowering-*.f64
1508×sum4-define
1368×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053958
1165832
2448832
31018832
42906832
56495832
08129832
Stop Event
iter limit
node limit
Counts
180 → 180
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)))
(* 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)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 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 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)))
(* -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)))
(* 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 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 12/29)
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 12/29 (/ 1 x))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(+.f64 #s(literal -12/29 binary64) (*.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)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 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))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* x y))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.f64 x #s(literal -4/29 binary64))))
(* 3 (* y (- x 4/29)))
(*.f64 #s(literal 3 binary64) (*.f64 y (+.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))

eval169.0ms (2.6%)

Compiler

Compiled 18311 to 1567 computations (91.4% saved)

prune85.0ms (1.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New9455950
Fresh112
Picked145
Done000
Total94710957
Accuracy
100.0%
Counts
957 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
81.1%
(*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))
99.8%
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
99.6%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
55.3%
(*.f64 (*.f64 y x) #s(literal 3 binary64))
46.0%
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
55.3%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
55.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
46.0%
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
46.1%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 138 to 107 computations (22.5% saved)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
(*.f64 y #s(literal -4/29 binary64))
cost-diff128
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
cost-diff128
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
Rules
96×*-lowering-*.f32
96×*-lowering-*.f64
72×fma-define
64×fma-lowering-fma.f32
64×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01764
13563
24663
37863
410663
511463
611963
713063
814363
916163
1017363
1118963
1219663
1319663
019663
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ y (/ 1 (+ (* x 3) -12/29)))
y
(/ 1 (+ (* x 3) -12/29))
1
(+ (* x 3) -12/29)
(* x 3)
x
3
-12/29
(* (* 3 y) -4/29)
(* 3 y)
3
y
-4/29
(* (* 3 y) x)
(* 3 y)
3
y
x
(* (* y -4/29) 3)
(* y -4/29)
y
-4/29
3
(* (* y x) 3)
(* y x)
y
x
3
Outputs
(/ y (/ 1 (+ (* x 3) -12/29)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64))))
y
(/ 1 (+ (* x 3) -12/29))
(/.f64 #s(literal 1/3 binary64) (+.f64 x #s(literal -4/29 binary64)))
1
#s(literal 1 binary64)
(+ (* x 3) -12/29)
(*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
-12/29
#s(literal -12/29 binary64)
(* (* 3 y) -4/29)
(*.f64 y #s(literal -12/29 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
y
-4/29
#s(literal -4/29 binary64)
(* (* 3 y) x)
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
y
x
(* (* y -4/29) 3)
(*.f64 y #s(literal -12/29 binary64))
(* y -4/29)
(*.f64 y #s(literal -4/29 binary64))
y
-4/29
#s(literal -4/29 binary64)
3
#s(literal 3 binary64)
(* (* y x) 3)
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(* y x)
(*.f64 y x)
y
x
3
#s(literal 3 binary64)

localize112.0ms (1.7%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy99.6%
(*.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy99.8%
(*.f64 y #s(literal -4/29 binary64))
accuracy99.5%
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy99.7%
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy99.5%
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.9%
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
accuracy99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)))
Results
57.0ms234×0valid
24.0ms11×2valid
5.0ms11×1valid
Compiler

Compiled 76 to 18 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
...c/correct-round.rkt:119:19: 26.0ms (49.7% of total)
ival-mult: 18.0ms (34.4% of total)
ival-div: 4.0ms (7.6% of total)
ival-add: 2.0ms (3.8% of total)
backward-pass: 2.0ms (3.8% of total)
const: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
11 → 180
Calls
Call 1
Inputs
#<alt (/ y (/ 1 (+ (* x 3) -12/29)))>
#<alt (/ 1 (+ (* x 3) -12/29))>
#<alt (+ (* x 3) -12/29)>
#<alt (* x 3)>
#<alt (* (* 3 y) -4/29)>
#<alt (* 3 y)>
#<alt (* (* 3 y) x)>
#<alt (* (* y -4/29) 3)>
#<alt (* y -4/29)>
#<alt (* (* y x) 3)>
#<alt (* y x)>
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 (* 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)))>
#<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)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 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 (* 3 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 y))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 y)>
#<alt (* -4/29 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 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 (* x y)>
Calls

45 calls:

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

rewrite323.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
3570×*-lowering-*.f32
3570×*-lowering-*.f64
1986×/-lowering-/.f32
1986×/-lowering-/.f64
1894×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01744
16443
230343
3259543
0814143
Stop Event
iter limit
node limit
Counts
11 → 549
Calls
Call 1
Inputs
(/ y (/ 1 (+ (* x 3) -12/29)))
(/ 1 (+ (* x 3) -12/29))
(+ (* x 3) -12/29)
(* x 3)
(* (* 3 y) -4/29)
(* 3 y)
(* (* 3 y) x)
(* (* y -4/29) 3)
(* y -4/29)
(* (* y x) 3)
(* y x)
Outputs
(+.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 y (*.f64 x #s(literal 3 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 #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 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)))
(+.f64 (*.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64))))) (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.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 #s(literal -12/29 binary64) (*.f64 y (*.f64 x #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 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64)))))
(fma.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))))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -12/29 binary64) y (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) x (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64)) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) (*.f64 y (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 y x) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64)))
(fma.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (*.f64 y (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))))
(/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64))))
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 y (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (*.f64 y (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (*.f64 y (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (*.f64 y (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) y) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) y) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 #s(literal 1728/24389 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64)) y) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64)) y) (*.f64 (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64))) #s(literal 144/841 binary64)) (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) y) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) y) (*.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 #s(literal 144/841 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64))))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -12/29 binary64)))
(/.f64 (/.f64 y (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal -1728/24389 binary64)))) (+.f64 #s(literal 144/841 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)))))
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 12/29 binary64)))
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(*.f64 y (*.f64 #s(literal 1 binary64) x))
(*.f64 x y)
(*.f64 (*.f64 y x) #s(literal 1 binary64))

simplify211.0ms (3.2%)

Algorithm
egg-herbie
Rules
2162×fma-lowering-fma.f32
2162×fma-lowering-fma.f64
1990×fnmadd-define
1784×fmsub-define
1690×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
089780
1234774
2541774
31170774
42364770
55048770
08564770
Stop Event
iter limit
node limit
Counts
180 → 180
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))
(* 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)))
(* 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)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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 y))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 y)
(* -4/29 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 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)
(* x y)
Outputs
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* y (- (* 3 x) 12/29))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(+.f64 (*.f64 x #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(+.f64 (*.f64 x (+.f64 #s(literal -841/48 binary64) (*.f64 x #s(literal -24389/192 binary64)))) #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(+.f64 (*.f64 x (+.f64 #s(literal -841/48 binary64) (*.f64 x (+.f64 #s(literal -24389/192 binary64) (*.f64 x #s(literal -707281/768 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 (/.f64 #s(literal -64/73167 binary64) 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 (/.f64 #s(literal -64/73167 binary64) x) x))) x)) x)
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(- (* 3 x) 12/29)
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(- (* 3 x) 12/29)
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- 3 (* 12/29 (/ 1 x))))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- 3 (* 12/29 (/ 1 x))))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(-.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 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)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 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))
(* 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))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 binary64))
(* -4/29 y)
(*.f64 y #s(literal -4/29 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))
(* 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)

eval134.0ms (2%)

Compiler

Compiled 12728 to 1721 computations (86.5% saved)

prune90.0ms (1.4%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New7453748
Fresh011
Picked145
Done044
Total74612758
Accuracy
100.0%
Counts
758 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
55.2%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
46.0%
(/.f64 y #s(literal -29/12 binary64))
46.0%
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
81.1%
(*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))
99.8%
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
99.6%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
55.3%
(*.f64 (*.f64 y x) #s(literal 3 binary64))
55.3%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
55.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
46.0%
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
46.1%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 96 to 74 computations (22.9% saved)

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
cost-diff0
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(/.f64 y #s(literal -29/12 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))
cost-diff0
(+.f64 x #s(literal 4/29 binary64))
cost-diff0
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
cost-diff0
(*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))
Rules
326×*-lowering-*.f32
326×*-lowering-*.f64
224×fma-define
170×fma-lowering-fma.f32
170×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02062
14362
29962
321362
436962
545562
652062
753362
053362
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))
(/ y (+ x 4/29))
y
(+ x 4/29)
x
4/29
(* 3 (+ (* x x) -16/841))
3
(+ (* x x) -16/841)
(* x x)
-16/841
(/ -12/29 (/ 1 y))
-12/29
(/ 1 y)
1
y
(/ y -29/12)
y
-29/12
(/ y (/ 1/3 x))
y
(/ 1/3 x)
1/3
x
Outputs
(* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))
(/.f64 (*.f64 y (+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64))) (+.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 x #s(literal 4/29 binary64))
x
4/29
#s(literal 4/29 binary64)
(* 3 (+ (* x x) -16/841))
(+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal -48/841 binary64))
3
#s(literal 3 binary64)
(+ (* x x) -16/841)
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(* x x)
(*.f64 x x)
-16/841
#s(literal -16/841 binary64)
(/ -12/29 (/ 1 y))
(*.f64 y #s(literal -12/29 binary64))
-12/29
#s(literal -12/29 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ y -29/12)
(/.f64 y #s(literal -29/12 binary64))
y
-29/12
#s(literal -29/12 binary64)
(/ y (/ 1/3 x))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
y
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
x

localize147.0ms (2.2%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
accuracy99.5%
(/.f64 #s(literal 1/3 binary64) x)
accuracy99.4%
(/.f64 y #s(literal -29/12 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.5%
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
accuracy100.0%
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
accuracy99.9%
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
accuracy99.2%
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))
accuracy81.4%
(*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))
Results
83.0ms248×0valid
2.0ms1valid
2.0ms2valid
Compiler

Compiled 71 to 21 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 27.0ms (43.4% of total)
...c/correct-round.rkt:119:19: 18.0ms (28.9% of total)
ival-div: 13.0ms (20.9% of total)
ival-add: 3.0ms (4.8% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
10 → 156
Calls
Call 1
Inputs
#<alt (* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))>
#<alt (/ y (+ x 4/29))>
#<alt (+ x 4/29)>
#<alt (* 3 (+ (* x x) -16/841))>
#<alt (/ -12/29 (/ 1 y))>
#<alt (/ 1 y)>
#<alt (/ y -29/12)>
#<alt (/ y (/ 1/3 x))>
#<alt (/ 1/3 x)>
#<alt (+ (* x x) -16/841)>
Outputs
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))>
#<alt (* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 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 (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (/ y (+ 4/29 x))>
#<alt (* 29/4 y)>
#<alt (+ (* -841/16 (* x y)) (* 29/4 y))>
#<alt (+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))>
#<alt (+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))>
#<alt (/ y x)>
#<alt (/ (+ y (* -4/29 (/ y x))) x)>
#<alt (/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x)>
#<alt (/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x))>
#<alt 4/29>
#<alt (+ 4/29 x)>
#<alt (+ 4/29 x)>
#<alt (+ 4/29 x)>
#<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 (* x (+ 1 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 1 (* 4/29 (/ 1 x))))>
#<alt -48/841>
#<alt (- (* 3 (pow x 2)) 48/841)>
#<alt (- (* 3 (pow x 2)) 48/841)>
#<alt (- (* 3 (pow x 2)) 48/841)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 y)>
#<alt (* -12/29 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 y))>
#<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)>
#<alt -16/841>
#<alt (- (pow x 2) 16/841)>
#<alt (- (pow x 2) 16/841)>
#<alt (- (pow x 2) 16/841)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))
1.0ms
y
@0
(* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))
1.0ms
y
@inf
(* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))
1.0ms
x
@0
(* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))
0.0ms
x
@-inf
(* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))

rewrite457.0ms (7%)

Algorithm
batch-egg-rewrite
Rules
3486×*-lowering-*.f32
3486×*-lowering-*.f64
3090×/-lowering-/.f32
3090×/-lowering-/.f64
2630×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02046
111546
265841
3628941
0843141
Stop Event
iter limit
node limit
Counts
10 → 660
Calls
Call 1
Inputs
(* (/ y (+ x 4/29)) (* 3 (+ (* x x) -16/841)))
(/ y (+ x 4/29))
(+ x 4/29)
(* 3 (+ (* x x) -16/841))
(/ -12/29 (/ 1 y))
(/ 1 y)
(/ y -29/12)
(/ y (/ 1/3 x))
(/ 1/3 x)
(+ (* x x) -16/841)
Outputs
(+.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(+.f64 (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (*.f64 x x)) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64)))) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) x) (*.f64 (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (*.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))))
(+.f64 (*.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))) (*.f64 #s(literal -4/29 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)) (*.f64 (/.f64 y (-.f64 #s(literal -4/29 binary64) x)) #s(literal -48/841 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)) (*.f64 #s(literal -48/841 binary64) (/.f64 y (-.f64 #s(literal -4/29 binary64) x))))
(-.f64 (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)) (*.f64 (/.f64 y (-.f64 #s(literal -4/29 binary64) x)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)) (*.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 y (-.f64 #s(literal -4/29 binary64) x))))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal -48/841 binary64)) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 y (*.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) (*.f64 x x)) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 y (*.f64 (/.f64 #s(literal 3 binary64) (+.f64 x #s(literal 4/29 binary64))) #s(literal -16/841 binary64)) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 x (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))) (*.f64 #s(literal -4/29 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x x) #s(literal -16/841 binary64)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y))) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 x (*.f64 (/.f64 x #s(literal 1/3 binary64)) (/.f64 y (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) #s(literal -48/841 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (*.f64 x x)) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) #s(literal -16/841 binary64)) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (/.f64 y (+.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 3 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)) (/.f64 #s(literal -48/841 binary64) (/.f64 (+.f64 x #s(literal 4/29 binary64)) y)))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64))) (*.f64 (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -4/29 binary64))) (/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -16/841 binary64)) (/.f64 #s(literal 1/3 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))))
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -4096/594823321 binary64)) (*.f64 (+.f64 #s(literal 256/707281 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 16/841 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -256/707281 binary64)) (*.f64 x (*.f64 x #s(literal -16/841 binary64)))))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -256/707281 binary64)) (*.f64 x (*.f64 x #s(literal -16/841 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -256/707281 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4096/594823321 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 256/707281 binary64) (*.f64 x (*.f64 x #s(literal -16/841 binary64))))))

simplify212.0ms (3.2%)

Algorithm
egg-herbie
Rules
2622×*-lowering-*.f32
2622×*-lowering-*.f64
1542×sum5-define
1144×/-lowering-/.f32
1144×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0115848
1341805
2893785
32738777
47947777
08711777
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 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)))))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(/ y (+ 4/29 x))
(* 29/4 y)
(+ (* -841/16 (* x y)) (* 29/4 y))
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))
(/ y x)
(/ (+ y (* -4/29 (/ y x))) x)
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x)
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x))
4/29
(+ 4/29 x)
(+ 4/29 x)
(+ 4/29 x)
x
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
(* x (+ 1 (* 4/29 (/ 1 x))))
-48/841
(- (* 3 (pow x 2)) 48/841)
(- (* 3 (pow x 2)) 48/841)
(- (* 3 (pow x 2)) 48/841)
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 y)
(* -12/29 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 y))
(/ 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)
-16/841
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(- (pow x 2) 16/841)
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
Outputs
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* 3 (/ (* y (- (pow x 2) 16/841)) (+ 4/29 x)))
(/.f64 (*.f64 y (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))) (+.f64 x #s(literal 4/29 binary64)))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 y (+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(/ y (+ 4/29 x))
(/.f64 y (+.f64 x #s(literal 4/29 binary64)))
(* 29/4 y)
(*.f64 y #s(literal 29/4 binary64))
(+ (* -841/16 (* x y)) (* 29/4 y))
(*.f64 y (+.f64 #s(literal 29/4 binary64) (*.f64 x #s(literal -841/16 binary64))))
(+ (* 29/4 y) (* x (- (* 24389/64 (* x y)) (* 841/16 y))))
(*.f64 y (+.f64 #s(literal 29/4 binary64) (*.f64 x (+.f64 #s(literal -841/16 binary64) (*.f64 x #s(literal 24389/64 binary64))))))
(+ (* 29/4 y) (* x (- (* x (- (* -707281/256 (* x y)) (* -24389/64 y))) (* 841/16 y))))
(+.f64 (*.f64 y #s(literal 29/4 binary64)) (*.f64 x (*.f64 y (+.f64 (*.f64 x (+.f64 #s(literal 24389/64 binary64) (*.f64 x #s(literal -707281/256 binary64)))) #s(literal -841/16 binary64)))))
(/ y x)
(/.f64 y x)
(/ (+ y (* -4/29 (/ y x))) x)
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal -4/29 binary64) x) #s(literal 1 binary64))) x)
(/ (- (+ y (* 16/841 (/ y (pow x 2)))) (* 4/29 (/ y x))) x)
(/.f64 (+.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)))) x)
(/ (- (+ y (* -64/24389 (/ y (pow x 3)))) (+ (* -16/841 (/ y (pow x 2))) (* 4/29 (/ y x)))) x)
(/.f64 (+.f64 y (*.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal -64/24389 binary64) (*.f64 x x)) (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) x))))) x)
(/ y x)
(/.f64 y x)
(* -1 (/ (+ (* -1 y) (* 4/29 (/ y x))) x))
(/.f64 (*.f64 y (+.f64 (/.f64 #s(literal -4/29 binary64) x) #s(literal 1 binary64))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* 16/841 (/ y x)) (* 4/29 y)) x))) x))
(/.f64 (+.f64 y (*.f64 (/.f64 y x) (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) x)))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* 64/24389 (/ y x)) (* 16/841 y)) x)) (* 4/29 y)) x))) x))
(/.f64 (+.f64 y (*.f64 (/.f64 y x) (+.f64 (/.f64 #s(literal -64/24389 binary64) (*.f64 x x)) (+.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) x))))) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 x)
(+.f64 x #s(literal 4/29 binary64))
(+ 4/29 x)
(+.f64 x #s(literal 4/29 binary64))
(+ 4/29 x)
(+.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
(* 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))
-48/841
#s(literal -48/841 binary64)
(- (* 3 (pow x 2)) 48/841)
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(- (* 3 (pow x 2)) 48/841)
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(- (* 3 (pow x 2)) 48/841)
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(* (pow x 2) (- 3 (* 48/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -48/841 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 y #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))
(/ 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)
-16/841
#s(literal -16/841 binary64)
(- (pow x 2) 16/841)
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(- (pow x 2) 16/841)
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(- (pow x 2) 16/841)
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))
(* (pow x 2) (- 1 (* 16/841 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x x) #s(literal -16/841 binary64))

eval99.0ms (1.5%)

Compiler

Compiled 16705 to 1816 computations (89.1% saved)

prune358.0ms (5.5%)

Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New8133816
Fresh000
Picked134
Done178
Total81513828
Accuracy
100.0%
Counts
828 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
99.6%
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
55.2%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
46.0%
(/.f64 y #s(literal -29/12 binary64))
55.3%
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
55.2%
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
46.0%
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
99.8%
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
99.6%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
55.3%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
55.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
46.0%
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
46.1%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 229 to 132 computations (42.4% saved)

regimes36.0ms (0.5%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(*.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 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))))
(*.f64 (/.f64 y (+.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x x) #s(literal -16/841 binary64))))
Outputs
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
Calls

5 calls:

12.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
6.0ms
y
6.0ms
x
5.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms
(*.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)

regimes11.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(*.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))
Outputs
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
Calls

2 calls:

5.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(/.f64 #s(literal -12/29 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 y x) #s(literal 1/3 binary64))
Outputs
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 (*.f64 y x) #s(literal 3 binary64))
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
97.6%3x
62.0%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 y #s(literal -4/29 binary64)) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(/.f64 y #s(literal -29/12 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
Outputs
(*.f64 #s(literal -12/29 binary64) y)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
46.1%1y
46.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.012921600625867872
27351.325941641677
10.0ms
-4.471996741771845
-0.033132358094201945
Results
14.0ms256×0valid
Compiler

Compiled 240 to 189 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.1% of total)
ival-div: 2.0ms (26.7% of total)
ival-sub: 1.0ms (13.4% of total)
const: 1.0ms (13.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.012921600625867872
27351.325941641677
12.0ms
-4.471996741771845
-0.033132358094201945
Results
16.0ms256×0valid
Compiler

Compiled 240 to 189 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.6% of total)
ival-mult: 3.0ms (32.6% of total)
ival-div: 2.0ms (21.8% of total)
const: 1.0ms (10.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.012921600625867872
27351.325941641677
11.0ms
-4.471996741771845
-0.033132358094201945
Results
16.0ms256×0valid
Compiler

Compiled 240 to 189 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57.7% of total)
ival-div: 2.0ms (23.1% of total)
ival-sub: 1.0ms (11.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
14372
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) x) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
(*.f64 #s(literal -12/29 binary64) y)
Outputs
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64)) y)
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) (+.f64 x #s(literal -4/29 binary64))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 y x) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 #s(literal 3 binary64) (*.f64 x y))))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) y) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) y)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) x) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
(if (<=.f64 x #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 x #s(literal 1261007895663739/9007199254740992 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(*.f64 #s(literal -12/29 binary64) y)

soundness1.5s (22.7%)

Rules
4764×/-lowering-/.f32
4764×/-lowering-/.f64
3190×*-lowering-*.f32
3190×*-lowering-*.f64
2922×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0107
1177
2326
3646
41066
51126
01126
053958
1165832
2448832
31018832
42906832
56495832
08129832
0715
12615
215913
3132413
0828713
042254
1122212
2324212
3750212
42032212
54151212
67173212
08310212
01544
15844
234444
3297544
0828344
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
Compiler

Compiled 245 to 152 computations (38% saved)

preprocess69.0ms (1%)

Remove

(negabs y)

Compiler

Compiled 240 to 114 computations (52.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...