Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3

Time bar (total: 9.3s)

analyze14.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample795.0ms (8.5%)

Memory
-0.1MiB live, 1 618.2MiB allocated
Samples
549.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 311.0ms
ival-mult: 126.0ms (40.5% of total)
ival-sub: 85.0ms (27.3% of total)
ival-div: 85.0ms (27.3% of total)
exact: 7.0ms (2.3% of total)
ival-true: 5.0ms (1.6% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess436.0ms (4.7%)

Memory
-86.8MiB live, 482.0MiB allocated
Algorithm
egg-herbie
Rules
8 876×accelerator-lowering-fma.f32
8 876×accelerator-lowering-fma.f64
2 550×*-lowering-*.f32
2 550×*-lowering-*.f64
1 828×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02363
17655
232755
3149955
4638155
0911
12311
26711
316411
452511
5212211
6637511
0803810
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
Outputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) y)
Symmetry

(negabs y)

explain97.0ms (1%)

Memory
13.6MiB live, 200.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-0-(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
00-0-(*.f64 y #s(literal 3 binary64))
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(-.f64 #s(literal 3 binary64) x)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))o/n230
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))overflow72
Confusion
Predicted +Predicted -
+230
-0233
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2300
-00233
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0233
123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 92 to 40 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 16.0ms (53.5% of total)
ival-sub: 9.0ms (30.1% of total)
ival-div: 3.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify225.0ms (2.4%)

Memory
5.9MiB live, 411.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 3 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Rules
8 876×accelerator-lowering-fma.f32
8 876×accelerator-lowering-fma.f64
2 550×*-lowering-*.f32
2 550×*-lowering-*.f64
1 828×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
12331
26731
316431
452531
5212231
6637531
0803829
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(* (- 1 x) (- 3 x))
(- 1 x)
1
x
(- 3 x)
3
(* y 3)
y
Outputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)) y)
(* (- 1 x) (- 3 x))
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(- 3 x)
(-.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
(* y 3)
(*.f64 #s(literal 3 binary64) y)
y

localize27.0ms (0.3%)

Memory
-7.7MiB live, 69.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y #s(literal 3 binary64))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
accuracy91.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Samples
16.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (36% of total)
ival-mult: 3.0ms (36% of total)
ival-div: 2.0ms (24% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
18.0MiB live, 17.9MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#<alt (* (- 1 x) (- 3 x))>
#<alt (/ (* (- 1 x) (- 3 x)) (* y 3))>
#<alt (- 1 x)>
#<alt (- 3 x)>
#<alt (* y 3)>
Outputs
#<alt 3>
#<alt (+ 3 (* -4 x))>
#<alt (+ 3 (* x (- x 4)))>
#<alt (+ 3 (* x (- x 4)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 (* -1 x))>
#<alt (+ 3 (* -1 x))>
#<alt (+ 3 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 3 (/ 1 x)) 1))>
#<alt (* x (- (* 3 (/ 1 x)) 1))>
#<alt (* x (- (* 3 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 3 (/ 1 x)))))>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
#<alt (* 3 y)>
Calls

18 calls:

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

rewrite247.0ms (2.7%)

Memory
-38.8MiB live, 556.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 254×*-lowering-*.f32
4 254×*-lowering-*.f64
4 002×/-lowering-/.f32
4 002×/-lowering-/.f64
1 836×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
15427
242827
3732727
0805027
Stop Event
iter limit
node limit
Counts
5 → 743
Calls
Call 1
Inputs
(* (- 1 x) (- 3 x))
(/ (* (- 1 x) (- 3 x)) (* y 3))
(- 1 x)
(- 3 x)
(* y 3)
Outputs
(+.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 x (-.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x))
(+.f64 (-.f64 (*.f64 x x) x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 x (-.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64) (-.f64 (*.f64 x x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x x) x))
(fma.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 x) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 x)) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (neg.f64 x)) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -3 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x x) x))
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (*.f64 x x) x))
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x (-.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) x) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 x (-.f64 x #s(literal 3 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
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(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (+.f64 (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64))))
(/.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64))))
(/.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64))))
(/.f64 (-.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (+.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 27 binary64)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 9 binary64)) (+.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -9 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64)) #s(literal 729 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 27 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 9 binary64)) #s(literal 81 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x))
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))) #s(literal 729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 27 binary64))) (fma.f64 x (-.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64)))
(neg.f64 (*.f64 y #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 3 binary64) (/.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64)))
(*.f64 (neg.f64 y) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))

simplify293.0ms (3.2%)

Memory
-12.2MiB live, 454.0MiB allocated
Algorithm
egg-herbie
Rules
8 634×accelerator-lowering-fma.f32
8 634×accelerator-lowering-fma.f64
3 164×*-lowering-*.f32
3 164×*-lowering-*.f64
2 266×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078446
1216446
2543446
31549418
44034418
57651418
08497384
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
3
(+ 3 (* -4 x))
(+ 3 (* x (- x 4)))
(+ 3 (* x (- x 4)))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
3
(+ 3 (* -1 x))
(+ 3 (* -1 x))
(+ 3 (* -1 x))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* x (- (* 3 (/ 1 x)) 1))
(* x (- (* 3 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- x 4)))
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
(+ 3 (* x (- x 4)))
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) x))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
3
#s(literal 3 binary64)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* 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)

eval91.0ms (1%)

Memory
25.5MiB live, 214.6MiB allocated
Compiler

Compiled 17 609 to 2 090 computations (88.1% saved)

prune111.0ms (1.2%)

Memory
-9.7MiB live, 268.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New80015815
Fresh000
Picked101
Done000
Total80115816
Accuracy
100.0%
Counts
816 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.3%
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
54.0%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
99.7%
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
91.5%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
44.3%
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
43.6%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
49.6%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
49.8%
(/.f64 #s(literal 1 binary64) y)
99.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
52.6%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
54.2%
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
91.2%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))
99.6%
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
99.6%
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))
52.0%
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
Compiler

Compiled 322 to 232 computations (28% saved)

simplify487.0ms (5.2%)

Memory
-3.8MiB live, 521.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(+.f64 #s(literal -4 binary64) x)
cost-diff0
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
cost-diff0
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff0
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
cost-diff128
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))
Rules
13 928×accelerator-lowering-fma.f32
13 928×accelerator-lowering-fma.f64
3 912×*-lowering-*.f32
3 912×*-lowering-*.f64
1 578×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022102
153102
2107102
3268102
4799102
53194102
0831396
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (- 1 x) y) (* (- 3 x) 1/3))
(/ (- 1 x) y)
(- 1 x)
1
x
y
(* (- 3 x) 1/3)
(- 3 x)
3
1/3
(/ 1 y)
1
y
(/ (* x x) (* y 3))
(* x x)
x
(* y 3)
y
3
(/ (+ (* -4 x) 3) (* y 3))
(+ (* -4 x) 3)
-4
x
3
(* y 3)
y
(/ (+ (* x (+ -4 x)) 3) (* y 3))
(+ (* x (+ -4 x)) 3)
x
(+ -4 x)
-4
3
(* y 3)
y
Outputs
(* (/ (- 1 x) y) (* (- 3 x) 1/3))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
y
(* (- 3 x) 1/3)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(- 3 x)
(-.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
1/3
#s(literal 1/3 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ (* x x) (* y 3))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(* x x)
(*.f64 x x)
x
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
3
#s(literal 3 binary64)
(/ (+ (* -4 x) 3) (* y 3))
(/.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(+ (* -4 x) 3)
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
-4
#s(literal -4 binary64)
x
3
#s(literal 3 binary64)
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
(/ (+ (* x (+ -4 x)) 3) (* y 3))
(/.f64 (fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(+ (* x (+ -4 x)) 3)
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
x
(+ -4 x)
(+.f64 x #s(literal -4 binary64))
-4
#s(literal -4 binary64)
3
#s(literal 3 binary64)
(* y 3)
(*.f64 y #s(literal 3 binary64))
y

localize75.0ms (0.8%)

Memory
7.9MiB live, 165.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))
accuracy100.0%
(+.f64 #s(literal -4 binary64) x)
accuracy100.0%
(*.f64 y #s(literal 3 binary64))
accuracy91.3%
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
accuracy100.0%
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
accuracy100.0%
(*.f64 y #s(literal 3 binary64))
accuracy99.7%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
accuracy100.0%
(*.f64 y #s(literal 3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy86.7%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy99.8%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
accuracy99.7%
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))
Samples
42.0ms256×0valid
Compiler

Compiled 100 to 24 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (33.1% of total)
ival-div: 8.0ms (29.4% of total)
ival-add: 4.0ms (14.7% of total)
ival-sub: 3.0ms (11% of total)
const: 3.0ms (11% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
13 → 216
Calls
Call 1
Inputs
#<alt (* (- 3 x) 1/3)>
#<alt (* (/ (- 1 x) y) (* (- 3 x) 1/3))>
#<alt (/ (- 1 x) y)>
#<alt (- 1 x)>
#<alt (/ 1 y)>
#<alt (/ (* x x) (* y 3))>
#<alt (* x x)>
#<alt (* y 3)>
#<alt (/ (+ (* -4 x) 3) (* y 3))>
#<alt (+ (* -4 x) 3)>
#<alt (/ (+ (* x (+ -4 x)) 3) (* y 3))>
#<alt (+ (* x (+ -4 x)) 3)>
#<alt (+ -4 x)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (* -1/3 x))>
#<alt (* -1/3 x)>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 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 (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (* -4/3 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* -4/3 (/ x y))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt (* 1/3 (/ (+ 3 (* -4 x)) y))>
#<alt 3>
#<alt (+ 3 (* -4 x))>
#<alt (+ 3 (* -4 x))>
#<alt (+ 3 (* -4 x))>
#<alt (* -4 x)>
#<alt (* x (- (* 3 (/ 1 x)) 4))>
#<alt (* x (- (* 3 (/ 1 x)) 4))>
#<alt (* x (- (* 3 (/ 1 x)) 4))>
#<alt (* -4 x)>
#<alt (* -1 (* x (- 4 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 4 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 4 (* 3 (/ 1 x)))))>
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt (* 1/3 (/ (+ 3 (* x (- x 4))) y))>
#<alt 3>
#<alt (+ 3 (* -4 x))>
#<alt (+ 3 (* x (- x 4)))>
#<alt (+ 3 (* x (- x 4)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))>
#<alt -4>
#<alt (- x 4)>
#<alt (- x 4)>
#<alt (- x 4)>
#<alt x>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+ -4 x)
2.0ms
x
@0
(/ (* x x) (* y 3))
1.0ms
y
@0
(/ (+ (* x (+ -4 x)) 3) (* y 3))
1.0ms
y
@0
(/ (* x x) (* y 3))
1.0ms
y
@0
(/ (+ (* -4 x) 3) (* y 3))

rewrite405.0ms (4.4%)

Memory
9.5MiB live, 637.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 098×accelerator-lowering-fma.f32
7 098×accelerator-lowering-fma.f64
5 460×*-lowering-*.f32
5 460×*-lowering-*.f64
4 654×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
113975
2106075
0887769
Stop Event
iter limit
node limit
Counts
13 → 1 029
Calls
Call 1
Inputs
(* (- 3 x) 1/3)
(* (/ (- 1 x) y) (* (- 3 x) 1/3))
(/ (- 1 x) y)
(- 1 x)
(/ 1 y)
(/ (* x x) (* y 3))
(* x x)
(* y 3)
(/ (+ (* -4 x) 3) (* y 3))
(+ (* -4 x) 3)
(/ (+ (* x (+ -4 x)) 3) (* y 3))
(+ (* x (+ -4 x)) 3)
(+ -4 x)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)) (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 9 binary64) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (+.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (+.f64 #s(literal 3 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x)))) (+.f64 (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (+.f64 (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -9 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x)))) (+.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (+.f64 #s(literal 3 binary64) x))
(*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 9 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) x)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)) (*.f64 (neg.f64 (/.f64 x y)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (neg.f64 (/.f64 x y))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)) (neg.f64 x)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1/3 binary64)) (*.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))) (*.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (neg.f64 (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal -1/3 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 3 binary64) x)) (*.f64 (neg.f64 (/.f64 x y)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 x y)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal -1/3 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal -1/3 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 x y)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal -1/3 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))
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(*.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (*.f64 x (+.f64 x #s(literal -4 binary64))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -4 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (+.f64 x #s(literal -4 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 x #s(literal -4 binary64))))))
(+.f64 x #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) x)
(+.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 x #s(literal 4 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -4 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -4 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (+.f64 #s(literal 4 binary64) x)))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64 binary64)) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (-.f64 #s(literal -4 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal -4 binary64))) (fma.f64 x (*.f64 x x) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal -4 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64 binary64)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal -4 binary64)))))
(/.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (+.f64 #s(literal 4 binary64) x))
(/.f64 (fma.f64 x x #s(literal -16 binary64)) (+.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (*.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 #s(literal -4 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64 binary64))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 4 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -16 binary64))) (neg.f64 (+.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)) (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x)))) (+.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal -4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -4 binary64) x))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -4 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -4 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 x #s(literal -4 binary64)))))
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) x)))
(*.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))))
(*.f64 (+.f64 #s(literal -16 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 4 binary64))))

simplify334.0ms (3.6%)

Memory
-7.2MiB live, 512.4MiB allocated
Algorithm
egg-herbie
Rules
9 542×accelerator-lowering-fma.f32
9 542×accelerator-lowering-fma.f64
3 596×*-lowering-*.f32
3 596×*-lowering-*.f64
1 636×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041443
12811380
27181348
319151308
455031308
081551196
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
1
(+ 1 (* -1/3 x))
(+ 1 (* -1/3 x))
(+ 1 (* -1/3 x))
(* -1/3 x)
(* x (- (/ 1 x) 1/3))
(* x (- (/ 1 x) 1/3))
(* x (- (/ 1 x) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (/ 1 x))))
(* -1 (* x (- 1/3 (/ 1 x))))
(* -1 (* x (- 1/3 (/ 1 x))))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* -4/3 (/ x y)) (/ 1 y))
(* -4/3 (/ x y))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(* -4/3 (/ x y))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(* 1/3 (/ (+ 3 (* -4 x)) y))
3
(+ 3 (* -4 x))
(+ 3 (* -4 x))
(+ 3 (* -4 x))
(* -4 x)
(* x (- (* 3 (/ 1 x)) 4))
(* x (- (* 3 (/ 1 x)) 4))
(* x (- (* 3 (/ 1 x)) 4))
(* -4 x)
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
3
(+ 3 (* -4 x))
(+ 3 (* x (- x 4)))
(+ 3 (* x (- x 4)))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
-4
(- x 4)
(- x 4)
(- x 4)
x
(* x (- 1 (* 4 (/ 1 x))))
(* x (- 1 (* 4 (/ 1 x))))
(* x (- 1 (* 4 (/ 1 x))))
x
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(+ 1 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(+ 1 (* -1/3 x))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* x (- (/ 1 x) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* x (- (/ 1 x) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* x (- (/ 1 x) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ x y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ x y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ (* -1 (/ x y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
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(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
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(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(+ (* -4/3 (/ x y)) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(+ (* -4/3 (/ x y)) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(* -4/3 (/ x y))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(* -4/3 (/ x y))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
3
#s(literal 3 binary64)
(+ 3 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(+ 3 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(+ 3 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 (/ 1 x)) 4))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 4))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 4))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* x (- x 4))) y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
3
#s(literal 3 binary64)
(+ 3 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(+ 3 (* x (- x 4)))
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- x 4)))
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -4 binary64)) #s(literal 3 binary64))
-4
#s(literal -4 binary64)
(- x 4)
(+.f64 x #s(literal -4 binary64))
(- x 4)
(+.f64 x #s(literal -4 binary64))
(- x 4)
(+.f64 x #s(literal -4 binary64))
x
(* x (- 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal -4 binary64))
(* x (- 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal -4 binary64))
(* x (- 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal -4 binary64))
x
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(+.f64 x #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(+.f64 x #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(+.f64 x #s(literal -4 binary64))

eval166.0ms (1.8%)

Memory
13.4MiB live, 414.5MiB allocated
Compiler

Compiled 22 203 to 2 454 computations (88.9% saved)

prune205.0ms (2.2%)

Memory
-25.1MiB live, 420.9MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1 28691 295
Fresh8210
Picked235
Done000
Total1 296141 310
Accuracy
100.0%
Counts
1 310 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
91.3%
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
54.2%
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
44.3%
(/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (*.f64 y #s(literal 3 binary64)))
43.6%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
8.4%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
49.6%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
49.8%
(/.f64 #s(literal 1 binary64) y)
99.8%
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
52.1%
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
52.6%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
52.0%
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
99.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
52.0%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
Compiler

Compiled 242 to 170 computations (29.8% saved)

simplify272.0ms (2.9%)

Memory
4.4MiB live, 470.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
cost-diff0
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff320
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
cost-diff128
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
Rules
9 970×accelerator-lowering-fma.f32
9 970×accelerator-lowering-fma.f64
3 070×*-lowering-*.f32
3 070×*-lowering-*.f64
2 040×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02395
15293
29993
315993
433393
575393
6167493
7420193
8701293
0803985
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (+ (* -1/3 x) 1) y) (- 1 x))
(/ (+ (* -1/3 x) 1) y)
(+ (* -1/3 x) 1)
-1/3
x
1
y
(- 1 x)
(/ 3 (* y 3))
3
(* y 3)
y
(/ (+ (* x -4/3) 1) y)
(+ (* x -4/3) 1)
x
-4/3
1
y
(* (* (/ x y) x) 1/3)
(* (/ x y) x)
(/ x y)
x
y
1/3
(* (/ x y) (+ (* x 1/3) -4/3))
(/ x y)
x
y
(+ (* x 1/3) -4/3)
1/3
-4/3
Outputs
(* (/ (+ (* -1/3 x) 1) y) (- 1 x))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ (* -1/3 x) 1) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(+ (* -1/3 x) 1)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
x
1
#s(literal 1 binary64)
y
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(/ 3 (* y 3))
(/.f64 #s(literal 1 binary64) y)
3
#s(literal 3 binary64)
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
(/ (+ (* x -4/3) 1) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(+ (* x -4/3) 1)
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
x
-4/3
#s(literal -4/3 binary64)
1
#s(literal 1 binary64)
y
(* (* (/ x y) x) 1/3)
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
(* (/ x y) x)
(*.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
1/3
#s(literal 1/3 binary64)
(* (/ x y) (+ (* x 1/3) -4/3))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(/ x y)
(/.f64 x y)
x
y
(+ (* x 1/3) -4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
1/3
#s(literal 1/3 binary64)
-4/3
#s(literal -4/3 binary64)

localize113.0ms (1.2%)

Memory
11.7MiB live, 87.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
accuracy99.6%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(*.f64 (/.f64 x y) x)
accuracy99.7%
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
accuracy99.9%
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
accuracy99.8%
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 y #s(literal 3 binary64))
accuracy99.7%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy99.9%
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
accuracy99.8%
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
accuracy99.8%
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
Samples
88.0ms255×0valid
1.0ms5exit
Compiler

Compiled 90 to 25 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-sub: 42.0ms (57.5% of total)
ival-mult: 12.0ms (16.4% of total)
const: 9.0ms (12.3% of total)
ival-div: 7.0ms (9.6% of total)
ival-add: 3.0ms (4.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory
-1.2MiB live, 34.1MiB allocated
Counts
13 → 240
Calls
Call 1
Inputs
#<alt (* (/ (+ (* -1/3 x) 1) y) (- 1 x))>
#<alt (/ (+ (* -1/3 x) 1) y)>
#<alt (+ (* -1/3 x) 1)>
#<alt (- 1 x)>
#<alt (/ 3 (* y 3))>
#<alt (* y 3)>
#<alt (/ (+ (* x -4/3) 1) y)>
#<alt (+ (* x -4/3) 1)>
#<alt (* (* (/ x y) x) 1/3)>
#<alt (* (/ x y) x)>
#<alt (/ x y)>
#<alt (* (/ x y) (+ (* x 1/3) -4/3))>
#<alt (+ (* x 1/3) -4/3)>
Outputs
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)>
#<alt (/ 1 y)>
#<alt (+ (* -1/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -1/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -1/3 (/ x y)) (/ 1 y))>
#<alt (* -1/3 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))>
#<alt (* -1/3 (/ x y))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt (/ (+ 1 (* -1/3 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (* -1/3 x))>
#<alt (+ 1 (* -1/3 x))>
#<alt (* -1/3 x)>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* x (- (/ 1 x) 1/3))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt (* -1 (* x (- 1/3 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* 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 (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (* -4/3 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))>
#<alt (* -4/3 (/ x y))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt (/ (+ 1 (* -4/3 x)) y)>
#<alt 1>
#<alt (+ 1 (* -4/3 x))>
#<alt (+ 1 (* -4/3 x))>
#<alt (+ 1 (* -4/3 x))>
#<alt (* -4/3 x)>
#<alt (* x (- (/ 1 x) 4/3))>
#<alt (* x (- (/ 1 x) 4/3))>
#<alt (* x (- (/ 1 x) 4/3))>
#<alt (* -4/3 x)>
#<alt (* -1 (* x (- 4/3 (/ 1 x))))>
#<alt (* -1 (* x (- 4/3 (/ 1 x))))>
#<alt (* -1 (* x (- 4/3 (/ 1 x))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) 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 (* -4/3 (/ x y))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt -4/3>
#<alt (- (* 1/3 x) 4/3)>
#<alt (- (* 1/3 x) 4/3)>
#<alt (- (* 1/3 x) 4/3)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
Calls

60 calls:

TimeVariablePointExpression
36.0ms
x
@0
(/ x y)
1.0ms
y
@0
(* (/ x y) (+ (* x 1/3) -4/3))
1.0ms
y
@0
(* (/ (+ (* -1/3 x) 1) y) (- 1 x))
1.0ms
y
@inf
(* (/ x y) (+ (* x 1/3) -4/3))
1.0ms
x
@0
(* (/ x y) (+ (* x 1/3) -4/3))

rewrite572.0ms (6.1%)

Memory
4.3MiB live, 605.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 942×accelerator-lowering-fma.f32
7 942×accelerator-lowering-fma.f64
5 222×*-lowering-*.f32
5 222×*-lowering-*.f64
4 236×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02375
112173
298573
0844266
Stop Event
iter limit
node limit
Counts
13 → 978
Calls
Call 1
Inputs
(* (/ (+ (* -1/3 x) 1) y) (- 1 x))
(/ (+ (* -1/3 x) 1) y)
(+ (* -1/3 x) 1)
(- 1 x)
(/ 3 (* y 3))
(* y 3)
(/ (+ (* x -4/3) 1) y)
(+ (* x -4/3) 1)
(* (* (/ x y) x) 1/3)
(* (/ x y) x)
(/ x y)
(* (/ x y) (+ (* x 1/3) -4/3))
(+ (* x 1/3) -4/3)
Outputs
(+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(+.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (/.f64 x (/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (neg.f64 x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))))
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(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -16/9 binary64))) (fma.f64 #s(literal -1/3 binary64) x #s(literal -4/3 binary64)))
(/.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)) #s(literal 16/9 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -64/27 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 4/9 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -16/9 binary64)))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -4/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (fma.f64 (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)))) (*.f64 (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -64/27 binary64)))) (neg.f64 (+.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 4/9 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -16/9 binary64)))) (fma.f64 #s(literal -1/3 binary64) x #s(literal -4/3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))) (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal -1/3 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/19683 binary64) #s(literal -262144/19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 4/9 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))))) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/729 binary64) #s(literal 4096/729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64/729 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/729 binary64) #s(literal -4096/729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 4/9 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 64/27 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/729 binary64) #s(literal -4096/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)))) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/81 binary64) #s(literal 256/81 binary64)) (*.f64 (*.f64 x x) #s(literal 16/81 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/81 binary64) #s(literal -256/81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 16/9 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -64/27 binary64))) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 4/9 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -16/9 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal -4/3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal -1/3 binary64) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -64/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 4/9 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -64/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal -4/9 binary64))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -64/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 4/9 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64)))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -16/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -16/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -64/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 16/9 binary64) (fma.f64 x #s(literal 4/9 binary64) (*.f64 x (*.f64 x #s(literal 1/9 binary64))))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -16/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal -4/3 binary64))))
(*.f64 (+.f64 #s(literal 16/9 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4/3 binary64) (*.f64 #s(literal -1/3 binary64) x))))

simplify698.0ms (7.5%)

Memory
-31.6MiB live, 586.4MiB allocated
Algorithm
egg-herbie
Rules
12 056×accelerator-lowering-fma.f32
12 056×accelerator-lowering-fma.f64
3 770×*-lowering-*.f32
3 770×*-lowering-*.f64
1 670×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881590
12221578
25491578
312531400
438291400
574161400
082181283
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ 1 y)
(+ (* -1/3 (/ x y)) (/ 1 y))
(+ (* -1/3 (/ x y)) (/ 1 y))
(+ (* -1/3 (/ x y)) (/ 1 y))
(* -1/3 (/ x y))
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(* -1/3 (/ x y))
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
1
(+ 1 (* -1/3 x))
(+ 1 (* -1/3 x))
(+ 1 (* -1/3 x))
(* -1/3 x)
(* x (- (/ 1 x) 1/3))
(* x (- (/ 1 x) 1/3))
(* x (- (/ 1 x) 1/3))
(* -1/3 x)
(* -1 (* x (- 1/3 (/ 1 x))))
(* -1 (* x (- 1/3 (/ 1 x))))
(* -1 (* x (- 1/3 (/ 1 x))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 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)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* -4/3 (/ x y)) (/ 1 y))
(* -4/3 (/ x y))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(* -4/3 (/ x y))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
(/ (+ 1 (* -4/3 x)) y)
1
(+ 1 (* -4/3 x))
(+ 1 (* -4/3 x))
(+ 1 (* -4/3 x))
(* -4/3 x)
(* x (- (/ 1 x) 4/3))
(* x (- (/ 1 x) 4/3))
(* x (- (/ 1 x) 4/3))
(* -4/3 x)
(* -1 (* x (- 4/3 (/ 1 x))))
(* -1 (* x (- 4/3 (/ 1 x))))
(* -1 (* x (- 4/3 (/ 1 x))))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) 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)
(* -4/3 (/ x y))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
-4/3
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(* 1/3 x)
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
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#s(literal -4/3 binary64)
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))

eval160.0ms (1.7%)

Memory
41.1MiB live, 425.6MiB allocated
Compiler

Compiled 19 496 to 2 460 computations (87.4% saved)

prune152.0ms (1.6%)

Memory
-41.9MiB live, 455.9MiB allocated
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New1 27171 278
Fresh156
Picked145
Done033
Total1 273191 292
Accuracy
100.0%
Counts
1 292 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
91.3%
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
54.2%
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
44.3%
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
44.3%
(/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (*.f64 y #s(literal 3 binary64)))
43.6%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
8.4%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
49.6%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
49.8%
(/.f64 #s(literal 1 binary64) y)
49.6%
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
52.6%
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
99.8%
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
52.1%
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
8.4%
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
49.5%
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
49.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
52.0%
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
52.0%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
52.0%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) #s(literal 1/3 binary64))
Compiler

Compiled 274 to 197 computations (28.1% saved)

simplify7.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(/.f64 x (*.f64 #s(literal 3 binary64) y))
cost-diff0
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
cost-diff0
(*.f64 x #s(literal -4/3 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
cost-diff320
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
cost-diff0
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
Rules
54×*-lowering-*.f32
54×*-lowering-*.f64
44×accelerator-lowering-fma.f32
44×accelerator-lowering-fma.f64
30×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02079
14479
26879
37879
47879
07874
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)
(+ (* x (+ (* x 1/3) -4/3)) 1)
x
(+ (* x 1/3) -4/3)
1/3
-4/3
1
y
(* (/ 1/3 y) 3)
(/ 1/3 y)
1/3
y
3
(* (/ x y) -4/3)
(/ x y)
x
y
-4/3
(/ (* x -4/3) y)
(* x -4/3)
x
-4/3
y
(* (/ x (* 3 y)) x)
(/ x (* 3 y))
x
(* 3 y)
3
y
Outputs
(/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(+ (* x (+ (* x 1/3) -4/3)) 1)
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
x
(+ (* x 1/3) -4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
1/3
#s(literal 1/3 binary64)
-4/3
#s(literal -4/3 binary64)
1
#s(literal 1 binary64)
y
(* (/ 1/3 y) 3)
(/.f64 #s(literal 1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
1/3
#s(literal 1/3 binary64)
y
3
#s(literal 3 binary64)
(* (/ x y) -4/3)
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/ x y)
(/.f64 x y)
x
y
-4/3
#s(literal -4/3 binary64)
(/ (* x -4/3) y)
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(* x -4/3)
(*.f64 x #s(literal -4/3 binary64))
x
-4/3
#s(literal -4/3 binary64)
y
(* (/ x (* 3 y)) x)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(/ x (* 3 y))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
x
(* 3 y)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
y

localize73.0ms (0.8%)

Memory
-16.6MiB live, 140.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 3 binary64) y)
accuracy99.8%
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
accuracy99.7%
(/.f64 x (*.f64 #s(literal 3 binary64) y))
accuracy99.7%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
accuracy99.5%
(*.f64 x #s(literal -4/3 binary64))
accuracy100.0%
(/.f64 x y)
accuracy99.5%
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
accuracy99.5%
(/.f64 #s(literal 1/3 binary64) y)
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
accuracy99.8%
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
accuracy91.5%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
Samples
48.0ms255×0valid
1.0ms5exit
Compiler

Compiled 78 to 22 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 11.0ms (38.9% of total)
ival-div: 9.0ms (31.8% of total)
const: 6.0ms (21.2% of total)
ival-add: 2.0ms (7.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
12 → 216
Calls
Call 1
Inputs
#<alt (/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)>
#<alt (+ (* x (+ (* x 1/3) -4/3)) 1)>
#<alt (+ (* x 1/3) -4/3)>
#<alt (* (/ 1/3 y) 3)>
#<alt (/ 1/3 y)>
#<alt (* (/ x y) -4/3)>
#<alt (/ x y)>
#<alt (/ (* x -4/3) y)>
#<alt (* x -4/3)>
#<alt (* (/ x (* 3 y)) x)>
#<alt (/ x (* 3 y))>
#<alt (* 3 y)>
Outputs
#<alt (/ 1 y)>
#<alt (+ (* -4/3 (/ x y)) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt 1>
#<alt (+ 1 (* -4/3 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 4/3)))>
#<alt (+ 1 (* x (- (* 1/3 x) 4/3)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))>
#<alt -4/3>
#<alt (- (* 1/3 x) 4/3)>
#<alt (- (* 1/3 x) 4/3)>
#<alt (- (* 1/3 x) 4/3)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ 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 (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ x y))>
#<alt (* 1/3 (/ 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)>
Calls

54 calls:

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

rewrite357.0ms (3.8%)

Memory
14.6MiB live, 604.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 640×accelerator-lowering-fma.f32
4 640×accelerator-lowering-fma.f64
4 424×*-lowering-*.f32
4 424×*-lowering-*.f64
2 910×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02062
19862
261962
3603662
0815657
Stop Event
iter limit
node limit
Counts
12 → 840
Calls
Call 1
Inputs
(/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)
(+ (* x (+ (* x 1/3) -4/3)) 1)
(+ (* x 1/3) -4/3)
(* (/ 1/3 y) 3)
(/ 1/3 y)
(* (/ x y) -4/3)
(/ x y)
(/ (* x -4/3) y)
(* x -4/3)
(* (/ x (* 3 y)) x)
(/ x (* 3 y))
(* 3 y)
Outputs
(+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))
(+.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x #s(literal -4/3 binary64)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
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(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (neg.f64 x) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/9 binary64) y)) #s(literal 3 binary64))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 (*.f64 x x) (neg.f64 y)) #s(literal -1/3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) y) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 x (*.f64 y #s(literal 3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 x y) #s(literal 3 binary64))
(/.f64 (neg.f64 x) (*.f64 y #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 3 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -3 binary64)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) x) (neg.f64 y)))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (neg.f64 y))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -3 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/3 binary64))) #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 y (*.f64 x #s(literal 1/3 binary64))) (/.f64 y (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 #s(literal 1/3 binary64) y))
(*.f64 #s(literal 1/3 binary64) (/.f64 x y))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 #s(literal -1/3 binary64) (/.f64 x (neg.f64 y)))
(*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.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 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/9 binary64) y)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64)))
(neg.f64 (*.f64 y #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)))
(/.f64 y #s(literal 1/3 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 y) #s(literal -1/3 binary64))
(/.f64 (*.f64 y #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) y))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) y)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal -1 binary64))
(pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 y) #s(literal -3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 y))

simplify276.0ms (3%)

Memory
-19.0MiB live, 400.5MiB allocated
Algorithm
egg-herbie
Rules
7 240×accelerator-lowering-fma.f32
7 240×accelerator-lowering-fma.f64
2 398×*-lowering-*.f32
2 398×*-lowering-*.f64
1 422×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0651206
11691206
24131206
310261158
427891158
554791122
676721122
080121059
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
1
(+ 1 (* -4/3 x))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
-4/3
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(* 1/3 x)
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ 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)
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ 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)
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
-4/3
#s(literal -4/3 binary64)
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) 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)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 (/ x y))
(/.f64 (*.f64 #s(literal -4/3 binary64) x) y)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 1/3 (/ x y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) y)
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))

eval129.0ms (1.4%)

Memory
7.6MiB live, 226.1MiB allocated
Compiler

Compiled 16 182 to 1 822 computations (88.7% saved)

prune115.0ms (1.2%)

Memory
24.9MiB live, 267.1MiB allocated
Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New1 05151 056
Fresh167
Picked145
Done167
Total1 054211 075
Accuracy
100.0%
Counts
1 075 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.5%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
91.3%
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
54.2%
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
44.3%
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
44.3%
(/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (*.f64 y #s(literal 3 binary64)))
8.4%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
43.6%
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y)
8.4%
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
49.6%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
49.8%
(/.f64 #s(literal 1 binary64) y)
49.6%
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
52.6%
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
99.8%
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
52.0%
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) x)
52.1%
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
49.5%
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
49.5%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
8.4%
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
52.0%
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
52.0%
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
52.0%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) #s(literal 1/3 binary64))
Compiler

Compiled 477 to 224 computations (53% saved)

regimes59.0ms (0.6%)

Memory
-43.2MiB live, 128.8MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) x)
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) #s(literal 1/3 binary64))
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
Calls

5 calls:

15.0ms
x
11.0ms
(*.f64 y #s(literal 3 binary64))
11.0ms
y
10.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
9.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
99.8%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
99.8%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes50.0ms (0.5%)

Memory
4.5MiB live, 118.9MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) x)
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) x) #s(literal 1/3 binary64))
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
Calls

5 calls:

11.0ms
x
10.0ms
y
9.0ms
(*.f64 y #s(literal 3 binary64))
9.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
9.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
99.8%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
99.8%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes46.0ms (0.5%)

Memory
23.3MiB live, 100.4MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) x)
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x (+.f64 x #s(literal -4 binary64))) (*.f64 y #s(literal 3 binary64)))
Outputs
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
Calls

5 calls:

11.0ms
y
10.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
8.0ms
(*.f64 y #s(literal 3 binary64))
8.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
7.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
95.1%2y
99.8%2(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
99.9%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
95.1%2(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes16.0ms (0.2%)

Memory
-8.2MiB live, 29.0MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) x)
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
Calls

2 calls:

9.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
6.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
83.7%2(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
98.4%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) x)
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
Calls

1 calls:

5.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
98.4%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes15.0ms (0.2%)

Memory
-3.5MiB live, 33.2MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) x)
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)))
Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x)
Calls

2 calls:

9.0ms
x
5.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
97.6%3x
97.5%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
Calls

1 calls:

4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
97.5%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes10.0ms (0.1%)

Memory
-33.1MiB live, 9.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
Calls

1 calls:

4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
97.5%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes50.0ms (0.5%)

Memory
4.6MiB live, 43.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
Calls

5 calls:

36.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
4.0ms
x
4.0ms
(*.f64 y #s(literal 3 binary64))
4.0ms
y
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
54.2%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
54.2%1y
54.2%1(*.f64 y #s(literal 3 binary64))
54.2%1x
54.2%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes17.0ms (0.2%)

Memory
34.2MiB live, 34.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/3 binary64)))
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
Outputs
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
Calls

5 calls:

3.0ms
(*.f64 y #s(literal 3 binary64))
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
49.8%1y
49.8%1(*.f64 y #s(literal 3 binary64))
53.9%2(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
54.6%2x
53.8%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes21.0ms (0.2%)

Memory
-29.4MiB live, 10.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
Outputs
(/.f64 #s(literal 1 binary64) y)
Calls

3 calls:

18.0ms
x
1.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
49.8%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
49.8%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
49.8%1x
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.99724594943966e+34
2.40010166413822e+40
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.131290791071759
29.378299111967344
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.131290791071759
29.378299111967344
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.131290791071759
29.378299111967344
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.131290791071759
29.378299111967344
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.131290791071759
29.378299111967344
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch15.0ms (0.2%)

Memory
-6.6MiB live, 32.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-7035.256901126744
-0.03255769686170516
Samples
7.0ms144×0valid
Compiler

Compiled 142 to 113 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (45% of total)
ival-mult: 2.0ms (45% of total)
ival-div: 1.0ms (22.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
26.3MiB live, 26.3MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049185
168185
273185
375185
476185
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 49999999999999998431683053958987776 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 49999999999999998431683053958987776 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 49999999999999998431683053958987776 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 x (*.f64 #s(literal 3 binary64) y)) x))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 x y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y) (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (/.f64 #s(literal 1 binary64) y))
(if (<=.f64 x #s(literal -3/4 binary64)) (*.f64 x (/.f64 #s(literal -4/3 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)

soundness1.9s (20.2%)

Memory
0.3MiB live, 1 216.2MiB allocated
Rules
12 056×accelerator-lowering-fma.f32
12 056×accelerator-lowering-fma.f64
9 542×accelerator-lowering-fma.f32
9 542×accelerator-lowering-fma.f64
8 634×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02375
112173
298573
0844266
078446
1216446
2543446
31549418
44034418
57651418
08497384
0927
15427
242827
3732727
0805027
02062
19862
261962
3603662
0815657
01041443
12811380
27181348
319151308
455031308
081551196
0881590
12221578
25491578
312531400
438291400
574161400
082181283
02275
113975
2106075
0887769
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 459 to 244 computations (46.8% saved)

preprocess87.0ms (0.9%)

Memory
11.5MiB live, 202.6MiB allocated
Remove

(negabs y)

Compiler

Compiled 538 to 206 computations (61.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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