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

Time bar (total: 11.1s)

analyze15.0ms (0.1%)

Memory
-0.2MiB live, 37.3MiB allocated
Algorithm
1×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)

sample1.0s (9.1%)

Memory
10.9MiB live, 1 458.5MiB allocated
Samples
652.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 396.0ms
ival-mult: 161.0ms (40.7% of total)
ival-sub: 126.0ms (31.8% of total)
ival-div: 91.0ms (23% of total)
exact: 8.0ms (2% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess542.0ms (4.9%)

Memory
-13.3MiB live, 535.5MiB allocated
Algorithm
2×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
02472
18366
234666
3154966
4670166
0911
12311
26711
316411
452511
5212211
6637511
0803810
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
Outputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
Call 2
Inputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(/ (* (- 1 (neg x)) (- 3 (neg x))) (* y 3))
(/ (* (- 1 x) (- 3 x)) (* (neg y) 3))
(neg (/ (* (- 1 (neg x)) (- 3 (neg x))) (* y 3)))
(neg (/ (* (- 1 x) (- 3 x)) (* (neg y) 3)))
(/ (* (- 1 y) (- 3 y)) (* x 3))
Outputs
(/ (* (- 1 x) (- 3 x)) (* y 3))
(* (- 1 x) (* (/ (- 3 x) y) 1/3))
(/ (* (- 1 (neg x)) (- 3 (neg x))) (* y 3))
(* (+ 1 x) (* (/ (- -3 x) y) -1/3))
(/ (* (- 1 x) (- 3 x)) (* (neg y) 3))
(* (- 1 x) (* (/ (- 3 x) y) -1/3))
(neg (/ (* (- 1 (neg x)) (- 3 (neg x))) (* y 3)))
(* (+ 1 x) (* (/ (- -3 x) y) 1/3))
(neg (/ (* (- 1 x) (- 3 x)) (* (neg y) 3)))
(* (- 1 x) (* (/ (- 3 x) y) 1/3))
(/ (* (- 1 y) (- 3 y)) (* x 3))
(* (- 1 y) (/ (+ 1 (/ y -3)) x))
Symmetry

(negabs y)

explain85.0ms (0.8%)

Memory
12.8MiB live, 177.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
160-0-(/.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/n160
↳(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))overflow58
Confusion
Predicted +Predicted -
+160
-0240
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1600
-00240
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0240
116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 92 to 40 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (38.9% of total)
ival-sub: 5.0ms (32.4% of total)
ival-div: 3.0ms (19.4% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.8%
(/.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)

simplify226.0ms (2%)

Memory
16.8MiB live, 328.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(-.f64 #s(literal 3 binary64) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓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
1×iter limit
1×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))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* (- 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

localize29.0ms (0.3%)

Memory
-9.5MiB live, 32.0MiB 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))
✓accuracy93.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 7.0ms (59.4% of total)
ival-mult: 3.0ms (25.5% of total)
ival-div: 2.0ms (17% 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
7.0MiB live, 7.0MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#<alt (* (- 1 x) (- 3 x))>
#<alt (- 1 x)>
#<alt (- 3 x)>
#<alt (* y 3)>
#<alt (/ (* (- 1 x) (- 3 x)) (* 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>
#<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)>
#<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))>
Calls

18 calls:

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

rewrite283.0ms (2.5%)

Memory
-15.8MiB live, 496.0MiB allocated
Algorithm
1×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
1×iter limit
1×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 x (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 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 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) 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 x (-.f64 x #s(literal 1 binary64))))
(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) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) 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))) (-.f64 #s(literal 0 binary64) 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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -3 binary64) x #s(literal 3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) 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))) (-.f64 #s(literal 0 binary64) 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 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 -9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) 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 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (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 (-.f64 #s(literal 0 binary64) 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))
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(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal -3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)) y))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal -1/3 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (/.f64 (-.f64 #s(literal 3 binary64) x) y))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) y)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) y)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify541.0ms (4.9%)

Memory
27.9MiB live, 540.3MiB allocated
Algorithm
1×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
31544418
44030418
57653418
08496384
Stop Event
1×iter limit
1×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
(+ 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)
(/ 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))
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)
(fma.f64 x x #s(literal 0 binary64))
(* (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)
(fma.f64 x x #s(literal 0 binary64))
(* (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
#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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 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 (* 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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 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)
(* -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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 0 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))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (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))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (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))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))

eval138.0ms (1.2%)

Memory
-4.1MiB live, 230.1MiB allocated
Compiler

Compiled 17 936 to 2 089 computations (88.4% saved)

prune158.0ms (1.4%)

Memory
-13.3MiB live, 287.0MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New80213815
Fresh000
Picked101
Done000
Total80313816
Accuracy
100.0%
Counts
816 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.3%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
▶99.8%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
48.5%
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
93.8%
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
42.7%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 3 binary64)))
▶58.1%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
99.6%
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
43.4%
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
53.8%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶54.0%
(/.f64 #s(literal 1 binary64) y)
49.1%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
▶99.5%
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
99.5%
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))
Compiler

Compiled 282 to 202 computations (28.4% saved)

simplify370.0ms (3.3%)

Memory
-5.9MiB live, 579.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓cost-diff0
(-.f64 #s(literal 3 binary64) x)
✓cost-diff128
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))
✓cost-diff0
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff384
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 0 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 #s(literal 1 binary64) y)
✓cost-diff0
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
Rules
11 304×accelerator-lowering-fma.f32
11 304×accelerator-lowering-fma.f64
2 650×*-lowering-*.f32
2 650×*-lowering-*.f64
2 014×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028113
163111
2144111
3353111
41113111
53629111
08150102
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (- 1 x) (/ (+ (* x -1/3) 1) y)) 0)
(- 1 x)
1
x
(/ (+ (* x -1/3) 1) y)
(+ (* x -1/3) 1)
-1/3
y
0
(/ 1 y)
1
y
(/ (+ (* -4 x) 3) (* y 3))
(+ (* -4 x) 3)
-4
x
3
(* y 3)
y
(+ (* (/ 1 y) (+ (* x -4/3) 1)) 0)
(/ 1 y)
1
y
(+ (* x -4/3) 1)
x
-4/3
0
(* (- 3 x) (* (/ (- 1 x) y) 1/3))
(- 3 x)
3
x
(* (/ (- 1 x) y) 1/3)
(/ (- 1 x) y)
(- 1 x)
1
y
1/3
Outputs
(+ (* (- 1 x) (/ (+ (* x -1/3) 1) y)) 0)
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) #s(literal 0 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (+ (* x -1/3) 1) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(+ (* x -1/3) 1)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
y
0
#s(literal 0 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ (+ (* -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
(+ (* (/ 1 y) (+ (* x -4/3) 1)) 0)
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#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)
0
#s(literal 0 binary64)
(* (- 3 x) (* (/ (- 1 x) y) 1/3))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) #s(literal 0 binary64))
(- 3 x)
(-.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x
(* (/ (- 1 x) y) 1/3)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 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)
y
1/3
#s(literal 1/3 binary64)

localize140.0ms (1.3%)

Memory
28.9MiB live, 220.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓accuracy99.7%
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.6%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy99.9%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
✓accuracy99.9%
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
✓accuracy99.8%
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
Samples
108.0ms256×0valid
Compiler

Compiled 110 to 30 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
const: 43.0ms (59.1% of total)
ival-mult: 12.0ms (16.5% of total)
ival-div: 9.0ms (12.4% of total)
ival-add: 6.0ms (8.3% of total)
ival-sub: 3.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
2.5MiB live, 46.9MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#<alt (+ (* (- 1 x) (/ (+ (* x -1/3) 1) y)) 0)>
#<alt (- 1 x)>
#<alt (/ (+ (* x -1/3) 1) y)>
#<alt (+ (* x -1/3) 1)>
#<alt (/ 1 y)>
#<alt (/ (+ (* -4 x) 3) (* y 3))>
#<alt (+ (* -4 x) 3)>
#<alt (* y 3)>
#<alt (+ (* (/ 1 y) (+ (* x -4/3) 1)) 0)>
#<alt (+ (* x -4/3) 1)>
#<alt (* (/ (- 1 x) y) 1/3)>
#<alt (- 3 x)>
#<alt (/ (- 1 x) y)>
#<alt (* (- 3 x) (* (/ (- 1 x) y) 1/3))>
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>
#<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 (+ (* -1/3 (/ 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 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (+ (* -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 (* 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 (* -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 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>
#<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 y)>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (* -1/3 (/ x y))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* -1/3 (/ x y))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<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 (/ 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 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))>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/ 1 y)
3.0ms
x
@0
(+ (* x -4/3) 1)
1.0ms
y
@-inf
(+ (* (- 1 x) (/ (+ (* x -1/3) 1) y)) 0)
1.0ms
y
@0
(+ (* (- 1 x) (/ (+ (* x -1/3) 1) y)) 0)
1.0ms
y
@0
(/ (+ (* -4 x) 3) (* y 3))

rewrite490.0ms (4.4%)

Memory
-5.3MiB live, 980.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 456×/-lowering-/.f32
5 456×/-lowering-/.f64
4 032×*-lowering-*.f32
4 032×*-lowering-*.f64
3 922×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02886
116384
2167784
0820677
Stop Event
1×iter limit
1×node limit
Counts
14 → 1 535
Calls
Call 1
Inputs
(+ (* (- 1 x) (/ (+ (* x -1/3) 1) y)) 0)
(- 1 x)
(/ (+ (* x -1/3) 1) y)
(+ (* x -1/3) 1)
(/ 1 y)
(/ (+ (* -4 x) 3) (* y 3))
(+ (* -4 x) 3)
(* y 3)
(+ (* (/ 1 y) (+ (* x -4/3) 1)) 0)
(+ (* x -4/3) 1)
(* (/ (- 1 x) y) 1/3)
(- 3 x)
(/ (- 1 x) y)
(* (- 3 x) (* (/ (- 1 x) y) 1/3))
Outputs
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)))
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)))
(+.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)) (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (/.f64 x (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(-.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))))
(-.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal 3 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) y)))
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 3 binary64)) y)))
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 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 3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) #s(literal 1 binary64)))

simplify385.0ms (3.5%)

Memory
8.9MiB live, 667.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 688×accelerator-lowering-fma.f32
10 688×accelerator-lowering-fma.f64
3 538×*-lowering-*.f32
3 538×*-lowering-*.f64
1 778×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01171827
13031764
27781722
319611552
454371552
085611387
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
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
(+ 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)
(+ (* -1/3 (/ 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(+ (* -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)))))
(* 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 (* -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 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
(+ 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 y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(* -1/3 (/ x y))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* -1/3 (/ x y))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
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)))))
(/ 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 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))
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))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (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))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (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 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #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)
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(*.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))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (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))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (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 (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) y)

eval276.0ms (2.5%)

Memory
-7.8MiB live, 616.7MiB allocated
Compiler

Compiled 48 590 to 3 604 computations (92.6% saved)

prune336.0ms (3%)

Memory
2.1MiB live, 508.7MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 85691 865
Fresh358
Picked325
Done000
Total1 862161 878
Accuracy
100.0%
Counts
1 878 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
8.4%
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
▶42.7%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 3 binary64)))
58.3%
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓58.1%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶99.8%
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
▶94.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
43.4%
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
▶8.4%
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
▶53.8%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓54.0%
(/.f64 #s(literal 1 binary64) y)
58.3%
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
49.1%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
99.5%
(*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))))
99.5%
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
99.6%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x)) #s(literal 1/3 binary64))
Compiler

Compiled 313 to 223 computations (28.8% saved)

simplify324.0ms (2.9%)

Memory
4.4MiB live, 638.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
✓cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff0
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 3 binary64)))
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(*.f64 x #s(literal -4 binary64))
✓cost-diff256
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff320
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓cost-diff0
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff512
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
Rules
13 678×accelerator-lowering-fma.f32
13 678×accelerator-lowering-fma.f64
3 944×*-lowering-*.f32
3 944×*-lowering-*.f64
1 384×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021104
156102
2129102
3300102
4917102
52518102
66097102
0820093
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 x) (/ y (+ (* x -1/3) 1)))
(- 1 x)
1
x
(/ y (+ (* x -1/3) 1))
y
(+ (* x -1/3) 1)
-1/3
(/ 3 (* y 3))
3
(* y 3)
y
(/ (* x -4) (* y 3))
(* x -4)
x
-4
(* y 3)
y
3
(/ (+ (* x x) 0) (* y 3))
(+ (* x x) 0)
x
0
(* y 3)
y
3
(/ (* (- 1 x) (+ (* x -1/3) 1)) y)
(* (- 1 x) (+ (* x -1/3) 1))
(- 1 x)
1
x
(+ (* x -1/3) 1)
-1/3
y
Outputs
(/ (- 1 x) (/ y (+ (* x -1/3) 1)))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ y (+ (* x -1/3) 1))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
y
(+ (* x -1/3) 1)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
(/ 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) (* y 3))
(fma.f64 (/.f64 x y) #s(literal -4/3 binary64) #s(literal 0 binary64))
(* x -4)
(*.f64 x #s(literal -4 binary64))
x
-4
#s(literal -4 binary64)
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
3
#s(literal 3 binary64)
(/ (+ (* x x) 0) (* y 3))
(fma.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
3
#s(literal 3 binary64)
(/ (* (- 1 x) (+ (* 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) (+ (* x -1/3) 1))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (* x -1/3) 1)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
y

localize84.0ms (0.8%)

Memory
1.2MiB live, 159.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy99.9%
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓accuracy99.8%
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
✓accuracy94.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy87.9%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -4 binary64))
✓accuracy99.6%
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.6%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy99.9%
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
✓accuracy99.8%
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
Samples
50.0ms256×0valid
Compiler

Compiled 104 to 23 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 20.0ms (57.7% of total)
ival-mult: 7.0ms (20.2% of total)
const: 3.0ms (8.7% of total)
ival-sub: 2.0ms (5.8% of total)
ival-add: 2.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
12 → 204
Calls
Call 1
Inputs
#<alt (/ (- 1 x) (/ y (+ (* x -1/3) 1)))>
#<alt (- 1 x)>
#<alt (/ y (+ (* x -1/3) 1))>
#<alt (+ (* x -1/3) 1)>
#<alt (/ 3 (* y 3))>
#<alt (* y 3)>
#<alt (/ (* x -4) (* y 3))>
#<alt (* x -4)>
#<alt (/ (+ (* x x) 0) (* y 3))>
#<alt (+ (* x x) 0)>
#<alt (* (- 1 x) (+ (* x -1/3) 1))>
#<alt (/ (* (- 1 x) (+ (* x -1/3) 1)) 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 (* -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>
#<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 (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt (/ y (+ 1 (* -1/3 x)))>
#<alt y>
#<alt (+ y (* 1/3 (* x y)))>
#<alt (+ y (* x (- (* 1/9 (* x y)) (* -1/3 y))))>
#<alt (+ y (* x (- (* x (- (* 1/27 (* x y)) (* -1/9 y))) (* -1/3 y))))>
#<alt (* -3 (/ y x))>
#<alt (/ (+ (* -9 (/ y x)) (* -3 y)) x)>
#<alt (/ (- (+ (* -27 (/ y (pow x 2))) (* -3 y)) (* 9 (/ y x))) x)>
#<alt (/ (- (+ (* -81 (/ y (pow x 3))) (* -3 y)) (+ (* 9 (/ y x)) (* 27 (/ y (pow x 2))))) x)>
#<alt (* -3 (/ y x))>
#<alt (* -1 (/ (+ (* 3 y) (* 9 (/ y x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -27 (/ y x)) (* 9 y)) x)) (* 3 y)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ y x)) (* -27 y)) x)) (* 9 y)) x)) (* 3 y)) x))>
#<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 (/ 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 (* -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 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 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)>
#<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 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 (/ 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)>
Calls

51 calls:

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

rewrite609.0ms (5.5%)

Memory
-8.8MiB live, 1 086.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 154×accelerator-lowering-fma.f32
8 154×accelerator-lowering-fma.f64
5 438×*-lowering-*.f32
5 438×*-lowering-*.f64
4 310×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02172
113070
2105370
0899365
Stop Event
1×iter limit
1×node limit
Counts
12 → 2 165
Calls
Call 1
Inputs
(/ (- 1 x) (/ y (+ (* x -1/3) 1)))
(- 1 x)
(/ y (+ (* x -1/3) 1))
(+ (* x -1/3) 1)
(/ 3 (* y 3))
(* y 3)
(/ (* x -4) (* y 3))
(* x -4)
(/ (+ (* x x) 0) (* y 3))
(+ (* x x) 0)
(* (- 1 x) (+ (* x -1/3) 1))
(/ (* (- 1 x) (+ (* x -1/3) 1)) y)
Outputs
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y))))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) x))))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 0 binary64) x)) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #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 -1/3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 x #s(literal 1/3 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64))) y))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64))) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64))) y))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) x) (/.f64 (*.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) (fma.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (fma.f64 x (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))))) (/.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y))) (fma.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (fma.f64 x (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (*.f64 (neg.f64 (*.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) 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 x #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.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 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x #s(literal -1/3 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (*.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 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64))) y) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y)))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y))))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) x))))
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64)))))
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(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64))))
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(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 0 binary64))))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 y (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 y (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 y (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) #s(literal -3 binary64)) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))

simplify662.0ms (5.9%)

Memory
2.7MiB live, 713.6MiB allocated
Algorithm
1×egg-herbie
Rules
13 444×accelerator-lowering-fma.f32
13 444×accelerator-lowering-fma.f64
3 860×*-lowering-*.f32
3 860×*-lowering-*.f64
2 484×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461400
13881392
29271376
322181326
469601326
081261224
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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
(+ 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))))
(/ 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
(+ y (* 1/3 (* x y)))
(+ y (* x (- (* 1/9 (* x y)) (* -1/3 y))))
(+ y (* x (- (* x (- (* 1/27 (* x y)) (* -1/9 y))) (* -1/3 y))))
(* -3 (/ y x))
(/ (+ (* -9 (/ y x)) (* -3 y)) x)
(/ (- (+ (* -27 (/ y (pow x 2))) (* -3 y)) (* 9 (/ y x))) x)
(/ (- (+ (* -81 (/ y (pow x 3))) (* -3 y)) (+ (* 9 (/ y x)) (* 27 (/ y (pow x 2))))) x)
(* -3 (/ y x))
(* -1 (/ (+ (* 3 y) (* 9 (/ y x))) x))
(* -1 (/ (+ (* -1 (/ (- (* -27 (/ y x)) (* 9 y)) x)) (* 3 y)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ y x)) (* -27 y)) x)) (* 9 y)) x)) (* 3 y)) x))
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)
(/ 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)
(* -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 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 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)
(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)
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))))
(/ 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)
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)) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #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 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))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #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 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))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/ (* (+ 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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 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 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/ y (+ 1 (* -1/3 x)))
(/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))
y
(+ y (* 1/3 (* x y)))
(*.f64 y (fma.f64 x #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ y (* x (- (* 1/9 (* x y)) (* -1/3 y))))
(fma.f64 (*.f64 y x) (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/3 binary64)) y)
(+ y (* x (- (* x (- (* 1/27 (* x y)) (* -1/9 y))) (* -1/3 y))))
(fma.f64 x (*.f64 y (fma.f64 x (fma.f64 x #s(literal 1/27 binary64) #s(literal 1/9 binary64)) #s(literal 1/3 binary64))) y)
(* -3 (/ y x))
(/.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 0 binary64)) x)
(/ (+ (* -9 (/ y x)) (* -3 y)) x)
(fma.f64 y (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -9 binary64) x)) x) #s(literal 0 binary64))
(/ (- (+ (* -27 (/ y (pow x 2))) (* -3 y)) (* 9 (/ y x))) x)
(/.f64 (fma.f64 y #s(literal -3 binary64) (fma.f64 (/.f64 y x) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -27 binary64) x)) #s(literal 0 binary64))) x)
(/ (- (+ (* -81 (/ y (pow x 3))) (* -3 y)) (+ (* 9 (/ y x)) (* 27 (/ y (pow x 2))))) x)
(/.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 (fma.f64 y #s(literal -9 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal -81 binary64) x) #s(literal -27 binary64))) x)) x)) x)
(* -3 (/ y x))
(/.f64 (fma.f64 y #s(literal -3 binary64) #s(literal 0 binary64)) x)
(* -1 (/ (+ (* 3 y) (* 9 (/ y x))) x))
(fma.f64 y (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -9 binary64) x)) x) #s(literal 0 binary64))
(* -1 (/ (+ (* -1 (/ (- (* -27 (/ y x)) (* 9 y)) x)) (* 3 y)) x))
(/.f64 (fma.f64 y #s(literal -3 binary64) (fma.f64 (/.f64 y x) (+.f64 #s(literal -9 binary64) (/.f64 #s(literal -27 binary64) x)) #s(literal 0 binary64))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 81 (/ y x)) (* -27 y)) x)) (* 9 y)) x)) (* 3 y)) x))
(/.f64 (fma.f64 y #s(literal -3 binary64) (/.f64 (fma.f64 y #s(literal -9 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal -81 binary64) x) #s(literal -27 binary64))) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(+ 1 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(+ 1 (* -1/3 x))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (/ 1 x) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 1/3))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 x #s(literal -1/3 binary64) #s(literal 1 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)
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 y)
(fma.f64 y #s(literal 3 binary64) #s(literal 0 binary64))
(* -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 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* 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)
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))
(/ 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)) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #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 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))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #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 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))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(/ (* (+ 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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.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)
(/.f64 (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) y)

eval690.0ms (6.2%)

Memory
13.5MiB live, 633.8MiB allocated
Compiler

Compiled 57 033 to 3 440 computations (94% saved)

prune275.0ms (2.5%)

Memory
-34.6MiB live, 716.5MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New2 541152 556
Fresh459
Picked415
Done022
Total2 549232 572
Accuracy
100.0%
Counts
2 572 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
58.3%
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓58.1%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
48.4%
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x #s(literal -1/3 binary64))))
▶57.7%
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
48.5%
(/.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))
43.3%
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
43.4%
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
42.7%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
42.7%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
▶8.4%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓53.8%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓54.0%
(/.f64 #s(literal 1 binary64) y)
▶58.3%
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
48.5%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x #s(literal -3 binary64)))
49.1%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
▶48.5%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
8.4%
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
53.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
8.4%
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
▶99.5%
(*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))))
48.5%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
48.5%
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
Compiler

Compiled 390 to 276 computations (29.2% saved)

simplify340.0ms (3.1%)

Memory
26.4MiB live, 620.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓cost-diff320
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓cost-diff-128
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
✓cost-diff0
(*.f64 x #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 x #s(literal -4/3 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 #s(literal 3 binary64) x)
✓cost-diff128
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64)))
Rules
13 586×accelerator-lowering-fma.f32
13 586×accelerator-lowering-fma.f64
2 762×*-lowering-*.f32
2 762×*-lowering-*.f64
1 850×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02090
14788
211788
329188
489488
5353488
6762788
0832784
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- 3 x) (/ (- 1 x) (* y 3)))
(- 3 x)
3
x
(/ (- 1 x) (* y 3))
(- 1 x)
1
(* y 3)
y
(/ (- 1 x) y)
(- 1 x)
1
x
y
(/ (* x -4/3) y)
(* x -4/3)
x
-4/3
y
(* (/ x y) (* x 1/3))
(/ x y)
x
y
(* x 1/3)
1/3
(* (+ (* x -4/3) 1) (/ 1 y))
(+ (* x -4/3) 1)
x
-4/3
1
(/ 1 y)
y
Outputs
(* (- 3 x) (/ (- 1 x) (* y 3)))
(fma.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y) #s(literal 0 binary64))
(- 3 x)
(-.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x
(/ (- 1 x) (* y 3))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* y 3)
(*.f64 #s(literal 3 binary64) y)
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
(/ (* x -4/3) y)
(*.f64 x (/.f64 #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 y) (* x 1/3))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
x
y
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (+ (* x -4/3) 1) (/ 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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y

localize74.0ms (0.7%)

Memory
-8.8MiB live, 149.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
✓accuracy99.8%
(fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.7%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
✓accuracy99.8%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓accuracy99.5%
(*.f64 x #s(literal -4/3 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.7%
(*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))))
✓accuracy99.6%
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64)))
Samples
50.0ms256×0valid
Compiler

Compiled 90 to 22 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 9.0ms (30% of total)
ival-div: 8.0ms (26.6% of total)
const: 7.0ms (23.3% of total)
ival-sub: 5.0ms (16.7% of total)
ival-add: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#<alt (/ (- 1 x) (* y 3))>
#<alt (- 3 x)>
#<alt (- 1 x)>
#<alt (* y 3)>
#<alt (/ (- 1 x) y)>
#<alt (/ (* x -4/3) y)>
#<alt (* x -4/3)>
#<alt (/ x y)>
#<alt (* x 1/3)>
#<alt (* (/ x y) (* x 1/3))>
#<alt (* (+ (* x -4/3) 1) (/ 1 y))>
#<alt (+ (* x -4/3) 1)>
#<alt (/ 1 y)>
#<alt (* (- 3 x) (/ (- 1 x) (* y 3)))>
Outputs
#<alt (/ 1/3 y)>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))>
#<alt (* -1/3 (/ x y))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))>
#<alt (* -1/3 (/ x y))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<alt (* 1/3 (/ (- 1 x) y))>
#<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 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 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 (+ (* -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 (* -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 (/ 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 (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 (/ (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 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 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (+ (* -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))>
Calls

63 calls:

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

rewrite354.0ms (3.2%)

Memory
5.7MiB live, 555.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 984×*-lowering-*.f32
4 984×*-lowering-*.f64
4 638×/-lowering-/.f32
4 638×/-lowering-/.f64
3 984×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02068
110968
291768
0858366
Stop Event
1×iter limit
1×node limit
Counts
14 → 1 080
Calls
Call 1
Inputs
(/ (- 1 x) (* y 3))
(- 3 x)
(- 1 x)
(* y 3)
(/ (- 1 x) y)
(/ (* x -4/3) y)
(* x -4/3)
(/ x y)
(* x 1/3)
(* (/ x y) (* x 1/3))
(* (+ (* x -4/3) 1) (/ 1 y))
(+ (* x -4/3) 1)
(/ 1 y)
(* (- 3 x) (/ (- 1 x) (* y 3)))
Outputs
(+.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))))
(+.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) y))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (*.f64 x #s(literal 1/3 binary64)) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 y #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 3 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 #s(literal 3 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 x y y))) (/.f64 (*.f64 x x) (*.f64 #s(literal 3 binary64) (fma.f64 x y y))))
(-.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 y y))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y))))) (/.f64 (/.f64 (*.f64 (/.f64 x y) (/.f64 (/.f64 (*.f64 x x) y) y)) #s(literal 27 binary64)) (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 x #s(literal 1/3 binary64)) y)) (*.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 #s(literal 1/3 binary64) y))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (/.f64 #s(literal 1/3 binary64) y))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -3 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 x (*.f64 y #s(literal -3 binary64))))
(fma.f64 (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -3 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))
(neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64)))))
(neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal 3 binary64)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 y y)) (fma.f64 y #s(literal 3 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 #s(literal 3 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (fma.f64 x y y)))
(/.f64 (fma.f64 y #s(literal 3 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) x)) (*.f64 #s(literal 9 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 y (*.f64 #s(literal 3 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y) #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 x y y))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64)))))
(/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -3 binary64))
(/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/3 binary64))) y)
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) y) (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) (/.f64 #s(literal 1/3 binary64) y)))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) #s(literal -1/3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 y #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) x)))
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 x y))) (*.f64 (*.f64 y #s(literal 3 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3 binary64))) (*.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -3 binary64))))
(/.f64 (-.f64 y (*.f64 (*.f64 y #s(literal 3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 y #s(literal 3 binary64)) y))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x)) y) (*.f64 y (/.f64 (*.f64 y #s(literal 3 binary64)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 3 binary64))) (*.f64 y x)) (*.f64 y (*.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x y))) (*.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal -3 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 y (*.f64 y #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) y) (*.f64 y (*.f64 x #s(literal 1/3 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y #s(literal 3 binary64)) x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal 9 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -3 binary64))) (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 y #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) x)) (*.f64 y #s(literal -3 binary64))) (*.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 (*.f64 y #s(literal 3 binary64)) x)))
(/.f64 (-.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 (*.f64 y #s(literal -3 binary64)) x)) (*.f64 (*.f64 y #s(literal -3 binary64)) (*.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 y #s(literal -3 binary64)) (/.f64 x y))) (*.f64 (*.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 y #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 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (-.f64 #s(literal 3 binary64) x) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1/3 binary64) y)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y))

simplify262.0ms (2.4%)

Memory
17.6MiB live, 444.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 600×accelerator-lowering-fma.f32
7 600×accelerator-lowering-fma.f64
3 348×*-lowering-*.f32
3 348×*-lowering-*.f64
1 656×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911477
12441414
26281372
316401308
446871308
080861230
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ 1/3 y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(* -1/3 (/ x y))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* -1/3 (/ x y))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
(* 1/3 (/ (- 1 x) y))
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)))))
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 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)
(+ (* -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)
(* -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)
(/ 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)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 (/ (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 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(+ (* -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))
Outputs
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1/3 (/ x y))
(fma.f64 #s(literal -1/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1/3 (/ x y))
(fma.f64 #s(literal -1/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 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)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
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)
(-.f64 #s(literal 0 binary64) 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)
(-.f64 #s(literal 0 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 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) 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)
(+ (* -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 (-.f64 #s(literal 0 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)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (/ x y))
(/.f64 (-.f64 #s(literal 0 binary64) x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -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)
(* -4/3 (/ x y))
(fma.f64 (/.f64 x y) #s(literal -4/3 binary64) #s(literal 0 binary64))
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1
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(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)))

eval177.0ms (1.6%)

Memory
-16.9MiB live, 290.5MiB allocated
Compiler

Compiled 22 248 to 2 666 computations (88% saved)

prune183.0ms (1.6%)

Memory
39.6MiB live, 352.6MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New1 39331 396
Fresh11415
Picked055
Done033
Total1 394251 419
Accuracy
100.0%
Counts
1 419 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
58.3%
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓58.1%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
48.4%
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x #s(literal -1/3 binary64))))
✓57.7%
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
48.5%
(/.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))
43.3%
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) y)
43.4%
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
42.7%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
42.7%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
✓8.4%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
8.4%
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
✓53.8%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓54.0%
(/.f64 #s(literal 1 binary64) y)
✓58.3%
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
42.7%
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64))
49.1%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
✓48.5%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
8.4%
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
53.7%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
8.4%
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
✓99.5%
(*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))))
48.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
48.5%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
48.5%
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
Compiler

Compiled 555 to 256 computations (53.9% saved)

regimes194.0ms (1.7%)

Memory
-5.9MiB live, 70.7MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 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)
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.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 x #s(literal 0 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)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.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 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) 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 3 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 x #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 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
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
Calls

5 calls:

142.0ms
y
11.0ms
(*.f64 y #s(literal 3 binary64))
11.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
11.0ms
x
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)

regimes194.0ms (1.7%)

Memory
-59.9MiB live, 29.9MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 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)
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.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 x #s(literal 0 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)
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.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 #s(literal 1 binary64) y) x) (*.f64 x #s(literal 1/3 binary64)))
Outputs
(*.f64 x (/.f64 x (*.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 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
Calls

3 calls:

176.0ms
y
8.0ms
(*.f64 y #s(literal 3 binary64))
8.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
94.0%1y
94.0%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes51.0ms (0.5%)

Memory
-15.9MiB live, 22.9MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 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)
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.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 x #s(literal 0 binary64)) (*.f64 y #s(literal 3 binary64)))
Outputs
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #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:

7.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 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)
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
Outputs
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 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)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 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)
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) y) x) x)
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
Outputs
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 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))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-7.0MiB live, 30.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 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)
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
Outputs
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
Calls

3 calls:

7.0ms
(*.f64 y #s(literal 3 binary64))
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
58.3%1y
58.3%1(*.f64 y #s(literal 3 binary64))
58.3%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory
-12.8MiB live, 24.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
(*.f64 (/.f64 x y) #s(literal -4/3 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 1 binary64) x) y)
Calls

3 calls:

3.0ms
y
3.0ms
(*.f64 y #s(literal 3 binary64))
3.0ms
x
Results
AccuracySegmentsBranch
57.7%1x
57.7%1y
57.7%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB 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

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
54.0%1x
54.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch10.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
6.0ms
1349462259884846300.0
1.80236871378514e+24
3.0ms
-6.250872780200438e+98
-2.804255722970148e+96
Samples
5.0ms96×0valid
Compiler

Compiled 148 to 110 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (33.1% of total)
ival-div: 1.0ms (33.1% of total)
ival-mult: 1.0ms (33.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
-15.9MiB live, 26.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.5456156295667774e-7
131041765.10260445
14.0ms
-319.7068297902973
-0.28070580013559865
Samples
18.0ms288×0valid
Compiler

Compiled 412 to 302 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (44.1% of total)
ival-mult: 3.0ms (26.4% of total)
ival-sub: 2.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
7.4MiB live, 43.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.5456156295667774e-7
131041765.10260445
11.0ms
-319.7068297902973
-0.28070580013559865
Samples
17.0ms288×0valid
Compiler

Compiled 376 to 284 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (35.3% of total)
ival-mult: 3.0ms (35.3% of total)
ival-div: 2.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Memory
14.1MiB live, 51.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
1.5456156295667774e-7
131041765.10260445
11.0ms
-319.7068297902973
-0.28070580013559865
Samples
40.0ms288×0valid
Compiler

Compiled 358 to 266 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 28.0ms (84.5% of total)
ival-sub: 3.0ms (9.1% of total)
ival-div: 2.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify28.0ms (0.2%)

Memory
-16.7MiB live, 20.4MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
8×if-if-or-not_binary32
4×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044120
162120
266120
368120
469120
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(if (<=.f64 x #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) (*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 10000000000000000000000 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 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (if (<=.f64 x #s(literal 7/4 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (if (<=.f64 x #s(literal 7/4 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 x #s(literal -5291729562160333/1125899906842624 binary64)) (*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 3 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))))))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) y)
Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) #s(literal 0 binary64))
(if (<=.f64 x #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) (*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 10000000000000000000000 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 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (if (<=.f64 x #s(literal 7/4 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y)) (if (<=.f64 x #s(literal 7/4 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y))))
(if (<=.f64 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (if (<=.f64 x #s(literal 7/4 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 x #s(literal -7656119366529843/4503599627370496 binary64)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y)) (if (<=.f64 x #s(literal 7/4 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 x #s(literal -5291729562160333/1125899906842624 binary64)) (*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64)))) (if (<=.f64 x #s(literal 3 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))))))
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) y)

soundness1.3s (11.8%)

Memory
19.8MiB live, 772.0MiB allocated
Rules
13 444×accelerator-lowering-fma.f32
13 444×accelerator-lowering-fma.f64
8 634×accelerator-lowering-fma.f32
8 634×accelerator-lowering-fma.f64
8 154×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078446
1216446
2543446
31544418
44030418
57653418
08496384
01461400
13881392
29271376
322181326
469601326
081261224
02886
116384
2167784
0820677
02172
113070
2105370
0899365
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 277 to 138 computations (50.2% saved)

preprocess80.0ms (0.7%)

Memory
-1.2MiB live, 193.0MiB allocated
Remove

(negabs y)

Compiler

Compiled 414 to 160 computations (61.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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