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

Time bar (total: 8.6s)

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
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 11 to 11 computations (0% saved)

sample655.0ms (7.6%)

Memory
17.2MiB live, 1 081.2MiB allocated
Samples
455.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-div: 111.0ms (41.1% of total)
ival-mult: 96.0ms (35.6% of total)
ival-sub: 44.0ms (16.3% of total)
exact: 10.0ms (3.7% of total)
ival-true: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess53.0ms (0.6%)

Memory
1.2MiB live, 40.0MiB allocated
Algorithm
egg-herbie
Rules
530×distribute-lft-in
476×distribute-rgt-in
346×unsub-neg
306×associate-*r*
258×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02146
15844
216642
354942
4167342
5191742
6214642
7224142
8227242
9228442
0107
1177
2327
3627
4847
0846
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (* (- x (/ 16 116)) 3) y)
Outputs
(* (* (- x (/ 16 116)) 3) y)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 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)
(* (+ x -4/29) (* 3 y))
(* (* (- (neg x) (/ 16 116)) 3) y)
(* 3 (* y (- -4/29 x)))
(* (* (- x (/ 16 116)) 3) (neg y))
(* y (- 12/29 (* x 3)))
(neg (* (* (- (neg x) (/ 16 116)) 3) y))
(* 3 (* y (+ x 4/29)))
(neg (* (* (- x (/ 16 116)) 3) (neg y)))
(* (+ x -4/29) (* 3 y))
(* (* (- y (/ 16 116)) 3) x)
(* x (- -12/29 (* y -3)))
Symmetry

(negabs y)

explain182.0ms (2.1%)

Memory
13.2MiB live, 136.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 3 binary64)
00-0-#s(literal 16 binary64)
00-0-#s(literal 116 binary64)
00-0-(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
00-0-(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
00-0-(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
00-0-y
00-0-(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
40.0ms472×0valid
3.0ms24×2valid
2.0ms16×1valid
Compiler

Compiled 84 to 40 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 19.0ms (62.6% of total)
ival-mult: 6.0ms (19.8% of total)
ival-sub: 3.0ms (9.9% of total)
adjust: 1.0ms (3.3% of total)
exact: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify7.0ms (0.1%)

Memory
-29.4MiB live, 8.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
11721
23221
36221
48421
08419
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (- x (/ 16 116)) 3) y)
(* (- x (/ 16 116)) 3)
(- x (/ 16 116))
x
(/ 16 116)
16
116
3
y
Outputs
(* (* (- x (/ 16 116)) 3) y)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(* (- x (/ 16 116)) 3)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(- x (/ 16 116))
(+.f64 x #s(literal -4/29 binary64))
x
(/ 16 116)
#s(literal 4/29 binary64)
16
#s(literal 16 binary64)
116
#s(literal 116 binary64)
3
#s(literal 3 binary64)
y

localize34.0ms (0.4%)

Memory
-27.9MiB live, 41.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy100.0%
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy99.9%
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy99.7%
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Samples
22.0ms236×0valid
2.0ms12×2valid
1.0ms1valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 11.0ms (65.5% of total)
ival-mult: 3.0ms (17.9% of total)
ival-sub: 1.0ms (6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ 16 116)>
#<alt (* (- x (/ 16 116)) 3)>
#<alt (* (* (- x (/ 16 116)) 3) y)>
#<alt (- x (/ 16 116))>
Outputs
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
Calls

12 calls:

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

rewrite456.0ms (5.3%)

Memory
1.1MiB live, 639.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 904×/-lowering-/.f32
4 904×/-lowering-/.f64
4 434×accelerator-lowering-fma.f32
4 434×accelerator-lowering-fma.f64
4 154×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
13116
216016
3125716
0889714
Stop Event
iter limit
node limit
Counts
4 → 507
Calls
Call 1
Inputs
(/ 16 116)
(* (- x (/ 16 116)) 3)
(* (* (- x (/ 16 116)) 3) y)
(- x (/ 16 116))
Outputs
#s(literal 4/29 binary64)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 4/29 binary64) x))) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.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 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.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 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -64/24389 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 4/29 binary64) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))) (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x))))) (+.f64 x #s(literal -4/29 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (*.f64 x x) (*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal -4/29 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) #s(literal -48/841 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) x))
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(*.f64 (*.f64 (fma.f64 x (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) x))) (+.f64 x #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal 16/841 binary64) (+.f64 #s(literal 4/29 binary64) x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -262144/14507145975869 binary64)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) (+.f64 #s(literal 4/29 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (+.f64 (fma.f64 x x #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -262144/14507145975869 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4/29 binary64) x) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (+.f64 #s(literal 4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (+.f64 #s(literal 4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -262144/14507145975869 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -262144/14507145975869 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 64/24389 binary64)) #s(literal 4096/594823321 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (*.f64 (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 16/841 binary64)) #s(literal 256/707281 binary64)))) (-.f64 (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) (fma.f64 x (*.f64 x x) #s(literal 64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 16/841 binary64)) (*.f64 x #s(literal -4/29 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 16/841 binary64))) (-.f64 (fma.f64 x #s(literal -4/29 binary64) #s(literal -16/841 binary64)) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal -1/2 binary64)))

simplify390.0ms (4.5%)

Memory
8.1MiB live, 361.4MiB allocated
Algorithm
egg-herbie
Rules
4 408×accelerator-lowering-fma.f32
4 408×accelerator-lowering-fma.f64
3 680×*-lowering-*.f32
3 680×*-lowering-*.f64
2 488×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042284
1112242
2290242
3614242
41569242
52629242
63705242
74196242
84371242
94391242
104405242
115139242
125519242
135745242
146196242
156558242
166564242
176576242
186576242
08629212
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
Outputs
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 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))

eval67.0ms (0.8%)

Memory
22.7MiB live, 177.3MiB allocated
Compiler

Compiled 16 516 to 1 808 computations (89.1% saved)

prune78.0ms (0.9%)

Memory
2.8MiB live, 169.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New54510555
Fresh000
Picked101
Done000
Total54610556
Accuracy
100.0%
Counts
556 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(fma.f64 #s(literal 3 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
99.5%
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
99.4%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)))
99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
64.3%
(*.f64 (/.f64 y (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (*.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))))
99.4%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
99.5%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
54.6%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
46.7%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 202 to 146 computations (27.7% saved)

simplify15.0ms (0.2%)

Memory
-19.4MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
cost-diff832
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(+.f64 x #s(literal -4/29 binary64))
cost-diff64
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
cost-diff0
(fma.f64 x y #s(literal 0 binary64))
cost-diff64
(fma.f64 #s(literal 3 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff-64
(*.f64 #s(literal -12/29 binary64) y)
cost-diff-64
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
Rules
136×accelerator-lowering-fma.f32
136×accelerator-lowering-fma.f64
96×*-lowering-*.f32
96×*-lowering-*.f64
64×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02074
14174
27074
311172
414672
515672
616872
719872
820872
921572
1022072
1122072
022067
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (+ (* x 3) -12/29) y)
(+ (* x 3) -12/29)
x
3
-12/29
y
(* -12/29 y)
-12/29
y
(+ (* 3 (+ (* x y) 0)) 0)
3
(+ (* x y) 0)
x
y
0
(* (+ x -4/29) (* 3 y))
(+ x -4/29)
x
-4/29
(* 3 y)
3
y
(/ y (/ 1 (+ (* x 3) -12/29)))
y
(/ 1 (+ (* x 3) -12/29))
1
(+ (* x 3) -12/29)
x
3
-12/29
Outputs
(* (+ (* x 3) -12/29) y)
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* x 3) -12/29)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
3
#s(literal 3 binary64)
-12/29
#s(literal -12/29 binary64)
y
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
-12/29
#s(literal -12/29 binary64)
y
(+ (* 3 (+ (* x y) 0)) 0)
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(+ (* x y) 0)
(fma.f64 x y #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(* (+ x -4/29) (* 3 y))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ 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
(/ y (/ 1 (+ (* x 3) -12/29)))
(fma.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y #s(literal 0 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)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
3
#s(literal 3 binary64)
-12/29
#s(literal -12/29 binary64)

localize74.0ms (0.9%)

Memory
16.5MiB live, 136.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
accuracy99.5%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
accuracy99.4%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
accuracy100.0%
(fma.f64 x y #s(literal 0 binary64))
accuracy99.6%
(fma.f64 #s(literal 3 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
accuracy99.9%
(*.f64 #s(literal -12/29 binary64) y)
accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Samples
44.0ms236×0valid
4.0ms11×2valid
3.0ms1valid
Compiler

Compiled 76 to 22 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
const: 15.0ms (41.5% of total)
ival-mult: 11.0ms (30.5% of total)
ival-add: 5.0ms (13.8% of total)
ival-div: 4.0ms (11.1% of total)
adjust: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-23.0MiB live, 15.5MiB allocated
Counts
10 → 180
Calls
Call 1
Inputs
#<alt (+ (* x 3) -12/29)>
#<alt (* (+ (* x 3) -12/29) y)>
#<alt (* -12/29 y)>
#<alt (+ (* 3 (+ (* x y) 0)) 0)>
#<alt (+ (* x y) 0)>
#<alt (* (+ x -4/29) (* 3 y))>
#<alt (+ x -4/29)>
#<alt (* 3 y)>
#<alt (/ y (/ 1 (+ (* x 3) -12/29)))>
#<alt (/ 1 (+ (* x 3) -12/29))>
Outputs
#<alt -12/29>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (- (* 3 x) 12/29)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* x (- 3 (* 12/29 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 12/29 (/ 1 x)) 3)))>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 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)>
#<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 (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* -12/29 y)>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (+ (* -12/29 y) (* 3 (* x y)))>
#<alt (* 3 (* x y))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* x (+ (* -12/29 (/ y x)) (* 3 y)))>
#<alt (* 3 (* x y))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt (* 3 (* y (- x 4/29)))>
#<alt -4/29>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt (- x 4/29)>
#<alt x>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt (* x (- 1 (* 4/29 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 1)))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<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))>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
x
@0
(+ (* 3 (+ (* x y) 0)) 0)
1.0ms
x
@0
(+ (* x 3) -12/29)
1.0ms
y
@0
(* (+ (* x 3) -12/29) y)
0.0ms
x
@inf
(+ (* 3 (+ (* x y) 0)) 0)
0.0ms
y
@0
(+ (* 3 (+ (* x y) 0)) 0)

rewrite607.0ms (7.1%)

Memory
19.3MiB live, 958.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 278×accelerator-lowering-fma.f32
6 278×accelerator-lowering-fma.f64
4 944×*-lowering-*.f32
4 944×*-lowering-*.f64
3 594×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02050
110650
280550
3778950
0885945
Stop Event
iter limit
node limit
Counts
10 → 2 858
Calls
Call 1
Inputs
(+ (* x 3) -12/29)
(* (+ (* x 3) -12/29) y)
(* -12/29 y)
(+ (* 3 (+ (* x y) 0)) 0)
(+ (* x y) 0)
(* (+ x -4/29) (* 3 y))
(+ x -4/29)
(* 3 y)
(/ y (/ 1 (+ (* x 3) -12/29)))
(/ 1 (+ (* x 3) -12/29))
Outputs
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -12/29 binary64))
(+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal -12/29 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))))
(+.f64 #s(literal -12/29 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal -12/29 binary64) (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal 144/841 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))))
(+.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) #s(literal -12/29 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -12/29 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -12/29 binary64))
(+.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -12/29 binary64))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal -12/29 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))))
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(/.f64 (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (fma.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (*.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (fma.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)) (*.f64 x #s(literal -36/29 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 1728/24389 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -36/29 binary64) #s(literal 144/841 binary64))))
(pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 12/29 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))))
(*.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64) #s(literal -2985984/594823321 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64) (fma.f64 (*.f64 x x) #s(literal 1296/841 binary64) #s(literal 20736/707281 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 12/29 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 81 binary64) #s(literal -20736/707281 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 144/841 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1728/24389 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -144/841 binary64)))) (fma.f64 x #s(literal -3 binary64) #s(literal -12/29 binary64)))
(*.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64) #s(literal -5159780352/14507145975869 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64) #s(literal 2985984/594823321 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -46656/24389 binary64))))
(*.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 729 binary64) #s(literal -2985984/594823321 binary64))) (fma.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 #s(literal -9 binary64) (*.f64 x x)))) (+.f64 #s(literal -12/29 binary64) (*.f64 x #s(literal -3 binary64))))

simplify334.0ms (3.9%)

Memory
30.6MiB live, 389.1MiB allocated
Algorithm
egg-herbie
Rules
5 420×accelerator-lowering-fma.f32
5 420×accelerator-lowering-fma.f64
2 248×--lowering--.f32
2 248×--lowering--.f64
2 198×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0981064
1235938
2535938
31088938
42885930
55278930
08124852
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
-12/29
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(- (* 3 x) 12/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 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)
(* -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))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(+ (* -12/29 y) (* 3 (* x y)))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* 3 (* x y))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
(* 3 (* y (- x 4/29)))
-4/29
(- x 4/29)
(- x 4/29)
(- x 4/29)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 1 (* 4/29 (/ 1 x))))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 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))
Outputs
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
(- x 4/29)
(+.f64 x #s(literal -4/29 binary64))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
(* x (- 1 (* 4/29 (/ 1 x))))
(+.f64 x #s(literal -4/29 binary64))
x
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(+.f64 x #s(literal -4/29 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* 3 y)
(fma.f64 #s(literal 3 binary64) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* y (- (* 3 x) 12/29))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y #s(literal 0 binary64))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 x #s(literal -841/48 binary64) #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 x (fma.f64 x #s(literal -24389/192 binary64) #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -707281/768 binary64) #s(literal -24389/192 binary64)) #s(literal -841/48 binary64)) #s(literal -29/12 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (-.f64 #s(literal 4/87 binary64) (/.f64 #s(literal -64/73167 binary64) (*.f64 x x)))) x)) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/87 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/87 binary64) (/.f64 #s(literal 16/2523 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/2523 binary64) x) (-.f64 #s(literal 4/87 binary64) (/.f64 #s(literal -64/73167 binary64) (*.f64 x x)))) x)) x)

eval682.0ms (7.9%)

Memory
16.9MiB live, 672.6MiB allocated
Compiler

Compiled 80 558 to 3 162 computations (96.1% saved)

prune733.0ms (8.5%)

Memory
-105.8MiB live, 475.2MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3 18863 194
Fresh325
Picked325
Done000
Total3 194103 204
Accuracy
100.0%
Counts
3 204 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(fma.f64 #s(literal 3 binary64) (*.f64 y x) #s(literal 0 binary64))
54.6%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
46.4%
(/.f64 y #s(literal -29/12 binary64))
99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.5%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
54.6%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
54.7%
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
46.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal -4/29 binary64))
46.5%
(*.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))
46.7%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 127 to 98 computations (22.8% saved)

simplify7.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
cost-diff384
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(/.f64 y #s(literal -29/12 binary64))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff0
(*.f64 #s(literal -4/29 binary64) y)
cost-diff320
(*.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))
cost-diff0
(+.f64 x #s(literal -4/29 binary64))
cost-diff0
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
cost-diff128
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
Rules
68×*-lowering-*.f32
68×*-lowering-*.f64
36×accelerator-lowering-fma.f32
36×accelerator-lowering-fma.f64
24×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01657
13155
25655
36755
46855
06854
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
x
-4/29
y
3
(* (* -4/29 y) 3)
(* -4/29 y)
-4/29
y
3
(* (* 3 y) x)
(* 3 y)
3
y
x
(/ y -29/12)
y
-29/12
(/ y (/ 1/3 x))
y
(/ 1/3 x)
1/3
x
Outputs
(* (* (+ x -4/29) y) 3)
(*.f64 y (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)))
(* (+ x -4/29) y)
(*.f64 (+.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)
y
3
#s(literal 3 binary64)
(* (* -4/29 y) 3)
(*.f64 y #s(literal -12/29 binary64))
(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
-4/29
#s(literal -4/29 binary64)
y
3
#s(literal 3 binary64)
(* (* 3 y) x)
(*.f64 x (*.f64 y #s(literal 3 binary64)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
y
x
(/ y -29/12)
(/.f64 y #s(literal -29/12 binary64))
y
-29/12
#s(literal -29/12 binary64)
(/ y (/ 1/3 x))
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
y
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
x

localize86.0ms (1%)

Memory
-16.1MiB live, 59.9MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
accuracy99.4%
(/.f64 y #s(literal -29/12 binary64))
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy99.3%
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy99.9%
(*.f64 #s(literal -4/29 binary64) y)
accuracy99.5%
(*.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))
accuracy100.0%
(+.f64 x #s(literal -4/29 binary64))
accuracy99.9%
(*.f64 (+.f64 x #s(literal -4/29 binary64)) y)
accuracy99.5%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
Samples
54.0ms256×0valid
Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 26.0ms (62.1% of total)
const: 9.0ms (21.5% of total)
ival-div: 5.0ms (11.9% of total)
ival-add: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
10 → 168
Calls
Call 1
Inputs
#<alt (* (* (+ x -4/29) y) 3)>
#<alt (* (+ x -4/29) y)>
#<alt (+ x -4/29)>
#<alt (* (* -4/29 y) 3)>
#<alt (* -4/29 y)>
#<alt (* (* 3 y) x)>
#<alt (* 3 y)>
#<alt (/ y -29/12)>
#<alt (/ y (/ 1/3 x))>
#<alt (/ 1/3 x)>
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 (* -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)>
#<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 (* 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 (* -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)>
Calls

42 calls:

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

rewrite636.0ms (7.4%)

Memory
14.5MiB live, 725.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 204×/-lowering-/.f32
5 204×/-lowering-/.f64
4 888×*-lowering-*.f32
4 888×*-lowering-*.f64
3 368×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01644
16940
230440
3203840
0861539
Stop Event
iter limit
node limit
Counts
10 → 1 243
Calls
Call 1
Inputs
(* (* (+ x -4/29) y) 3)
(* (+ x -4/29) y)
(+ x -4/29)
(* (* -4/29 y) 3)
(* -4/29 y)
(* (* 3 y) x)
(* 3 y)
(/ y -29/12)
(/ y (/ 1/3 x))
(/ 1/3 x)
Outputs
(+.f64 (*.f64 y #s(literal -12/29 binary64)) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))) (/.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (/.f64 #s(literal 16/841 binary64) (+.f64 x #s(literal 4/29 binary64))) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4/29 binary64) x)) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1/3 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))))))
(fma.f64 x (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 x (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -4/29 binary64) (*.f64 y #s(literal 3 binary64)) (*.f64 x (*.f64 y #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 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -4/29 binary64) y) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x y) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64) (*.f64 x (*.f64 y #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 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 12/29 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -12/29 binary64)) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))) (*.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 (*.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -12/29 binary64) y (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -12/29 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 x y) #s(literal 3 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #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 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal 12/29 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 12/29 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal -1 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -3 binary64) (/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -3 binary64) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal -3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 12/29 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal -12/29 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) x (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 12/29 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(fma.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 y (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 y (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y #s(literal -12/29 binary64)))
(fma.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 y #s(literal -12/29 binary64)))
(/.f64 (+.f64 x #s(literal -4/29 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64))) #s(literal 1/3 binary64)))
(/.f64 y (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4/29 binary64)))))
(/.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 1/3 binary64))
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(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 y #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/3 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) y)))
(neg.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))))
(/.f64 x (/.f64 #s(literal 1/3 binary64) y))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x y)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x y)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) x))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1/3 binary64))
(/.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) y)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x y))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal -1/3 binary64) (*.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) x) (*.f64 y (-.f64 #s(literal 0 binary64) x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x y)) (/.f64 #s(literal 1/3 binary64) (*.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (*.f64 y #s(literal 3 binary64)))))) #s(literal -1 binary64))
(*.f64 x (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 3 binary64) (/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (*.f64 y #s(literal 3 binary64)) x)
(*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal -3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -3 binary64) (/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (*.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 y #s(literal -3 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 y (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

simplify332.0ms (3.9%)

Memory
-31.4MiB live, 429.4MiB allocated
Algorithm
egg-herbie
Rules
3 712×/-lowering-/.f32
3 712×/-lowering-/.f64
2 968×accelerator-lowering-fma.f32
2 968×accelerator-lowering-fma.f64
2 712×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046766
1129724
2342724
3702724
42026724
53701724
64456724
74660724
84754724
94809724
104861724
115207724
125799724
136121724
146131724
156131724
166131724
08103703
Stop Event
iter limit
node limit
Counts
168 → 168
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)))
(* -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)
(* -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))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 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)
Outputs
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(+ (* -12/29 y) (* 3 (* x y)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* 3 (* y (- x 4/29)))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(+ (* -4/29 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(+ (* -4/29 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(+ (* -4/29 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (* -4/29 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* x (+ y (* -4/29 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* x (+ y (* -4/29 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 binary64))
(* y (- x 4/29))
(fma.f64 y (+.f64 x #s(literal -4/29 binary64)) #s(literal 0 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)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* -4/29 y)
(fma.f64 y #s(literal -4/29 binary64) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* -12/29 y)
(fma.f64 #s(literal -12/29 binary64) y #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (* x y))
(fma.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(/ 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)

eval233.0ms (2.7%)

Memory
40.9MiB live, 424.7MiB allocated
Compiler

Compiled 23 074 to 3 118 computations (86.5% saved)

prune778.0ms (9%)

Memory
-10.7MiB live, 360.7MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New1 40831 411
Fresh213
Picked145
Done022
Total1 411101 421
Accuracy
100.0%
Counts
1 421 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
46.4%
(/.f64 y #s(literal -29/12 binary64))
99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.5%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
46.3%
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
54.6%
(*.f64 (*.f64 x y) #s(literal 3 binary64))
54.6%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
54.7%
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
46.5%
(*.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))
46.7%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 69 to 53 computations (23.2% saved)

simplify6.0ms (0.1%)

Memory
-22.7MiB live, 16.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff320
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(literal 3 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Rules
48×*-lowering-*.f32
48×*-lowering-*.f64
20×*-commutative
associate-*l*
/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
12542
23542
33742
03742
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* x 3) y)
(* x 3)
x
3
y
(* (* x y) 3)
(* x y)
x
y
3
(* (* y 3) -4/29)
(* y 3)
y
3
-4/29
(/ (* x y) 1/3)
(* x y)
x
y
1/3
Outputs
(* (* 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 y) 3)
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(* x y)
(*.f64 x y)
x
y
3
#s(literal 3 binary64)
(* (* y 3) -4/29)
(*.f64 y #s(literal -12/29 binary64))
(* y 3)
(*.f64 #s(literal 3 binary64) y)
y
3
#s(literal 3 binary64)
-4/29
#s(literal -4/29 binary64)
(/ (* x y) 1/3)
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
(* x y)
(*.f64 x y)
x
y
1/3
#s(literal 1/3 binary64)

localize45.0ms (0.5%)

Memory
1.5MiB live, 119.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy99.6%
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
accuracy100.0%
(*.f64 y #s(literal 3 binary64))
accuracy99.3%
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
accuracy100.0%
(*.f64 x y)
accuracy99.6%
(*.f64 (*.f64 x y) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
27.0ms256×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (54.5% of total)
const: 6.0ms (36.3% of total)
ival-div: 2.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
7 → 132
Calls
Call 1
Inputs
#<alt (* (* x 3) y)>
#<alt (* x 3)>
#<alt (* (* x y) 3)>
#<alt (* x y)>
#<alt (* (* y 3) -4/29)>
#<alt (* y 3)>
#<alt (/ (* x y) 1/3)>
Outputs
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 (* x y))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 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)>
#<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))>
Calls

33 calls:

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

rewrite372.0ms (4.3%)

Memory
24.0MiB live, 780.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 834×accelerator-lowering-fma.f32
3 834×accelerator-lowering-fma.f64
3 554×*-lowering-*.f32
3 554×*-lowering-*.f64
2 498×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
13327
27827
326427
4128427
0842027
Stop Event
iter limit
node limit
Counts
7 → 1 644
Calls
Call 1
Inputs
(* (* x 3) y)
(* x 3)
(* (* x y) 3)
(* x y)
(* (* y 3) -4/29)
(* y 3)
(/ (* x y) 1/3)
Outputs
(+.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 x y #s(literal 0 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) y)) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) y)) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x)) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/3 binary64) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -27 binary64)) (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64)) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64))))
(fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 3 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (pow.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/3 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) x #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) (*.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 #s(literal -3 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) y #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -3 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -3 binary64) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -3 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal -1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 0 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 y #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 0 binary64) (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (fma.f64 x y #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x (*.f64 #s(literal 3 binary64) y) #s(literal 0 binary64)))) #s(literal 0 binary64))
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(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -3 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x y #s(literal 0 binary64)))

simplify25.0ms (0.3%)

Memory
-16.4MiB live, 61.6MiB allocated
Algorithm
egg-herbie
Rules
28×*-lowering-*.f32
28×*-lowering-*.f64
10×*-commutative
associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09540
115540
218540
018540
Stop Event
iter limit
saturated
Counts
132 → 132
Calls
Call 1
Inputs
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 (* x y))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 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)
(* -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))
Outputs
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 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)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x 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 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(* 3 (* x y))
(*.f64 #s(literal 3 binary64) (*.f64 x y))

eval308.0ms (3.6%)

Memory
-0.8MiB live, 703.9MiB allocated
Compiler

Compiled 50 582 to 2 758 computations (94.5% saved)

prune235.0ms (2.7%)

Memory
31.5MiB live, 585.4MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New2 38202 382
Fresh000
Picked044
Done066
Total2 382102 392
Accuracy
100.0%
Counts
2 392 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
46.4%
(/.f64 y #s(literal -29/12 binary64))
99.7%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.5%
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
46.3%
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
54.6%
(*.f64 (*.f64 x y) #s(literal 3 binary64))
54.6%
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
54.7%
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
46.5%
(*.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 binary64))
46.7%
(*.f64 #s(literal -12/29 binary64) y)
Compiler

Compiled 205 to 111 computations (45.9% saved)

regimes35.0ms (0.4%)

Memory
-26.1MiB live, 72.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 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 x y) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(literal -29/12 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (+.f64 x #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(/.f64 (*.f64 x y) #s(literal 1/3 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
(/.f64 y (/.f64 #s(literal 1/3 binary64) x))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)))
(*.f64 (/.f64 y (fma.f64 #s(literal 4/29 binary64) x (fma.f64 x x #s(literal 16/841 binary64)))) (*.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x x) #s(literal -64/24389 binary64))))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Calls

5 calls:

10.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
7.0ms
y
6.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
6.0ms
x
6.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.7%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.7%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes15.0ms (0.2%)

Memory
0.3MiB live, 39.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -12/29 binary64) y)
(*.f64 (*.f64 #s(literal -4/29 binary64) y) #s(literal 3 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 x y) #s(literal 3 binary64))
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -4/29 binary64))
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

5 calls:

3.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms
y
3.0ms
x
3.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.4%3x
59.5%2y
82.1%3(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
97.4%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.4%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes10.0ms (0.1%)

Memory
-7.6MiB live, 31.7MiB allocated
Accuracy

Total -0.4b remaining (-1%)

Threshold costs -0.4b (-1%)

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

5 calls:

2.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
2.0ms
x
2.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
2.0ms
y
2.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
46.7%1y
46.7%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
46.7%1x
46.7%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
46.7%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.13793103448275862
0.04087915473726578
0.0ms
-0.6322298803461186
-0.19839821437730382
Compiler

Compiled 14 to 14 computations (0% saved)

simplify8.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01934
12834
23734
34334
44834
55034
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) x) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 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 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) y) x) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) y)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -12/29 binary64) y) (*.f64 x (*.f64 #s(literal 3 binary64) y))))
(*.f64 #s(literal -12/29 binary64) y)

soundness1.0s (12%)

Memory
14.0MiB live, 409.2MiB allocated
Rules
6 278×accelerator-lowering-fma.f32
6 278×accelerator-lowering-fma.f64
4 944×*-lowering-*.f32
4 944×*-lowering-*.f64
4 904×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042284
1112242
2290242
3614242
41569242
52629242
63705242
74196242
84371242
94391242
104405242
115139242
125519242
135745242
146196242
156558242
166564242
176576242
186576242
08629212
02050
110650
280550
3778950
0885945
01016
13116
216016
3125716
0889714
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 74 to 44 computations (40.5% saved)

preprocess54.0ms (0.6%)

Memory
5.0MiB live, 124.9MiB allocated
Remove

(negabs y)

Compiler

Compiled 136 to 82 computations (39.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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