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

Time bar (total: 9.8s)

analyze16.0ms (0.2%)

Memory
-13.1MiB live, 27.3MiB 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)

sample738.0ms (7.5%)

Memory
28.3MiB live, 1 218.8MiB allocated
Samples
528.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 308.0ms
ival-sub: 110.0ms (35.7% of total)
ival-mult: 105.0ms (34.1% of total)
ival-div: 76.0ms (24.7% of total)
exact: 8.0ms (2.6% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess343.0ms (3.5%)

Memory
13.4MiB live, 526.1MiB 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)

explain181.0ms (1.8%)

Memory
-23.8MiB live, 102.9MiB 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))overflow70
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
87.0ms512×0valid
Compiler

Compiled 92 to 40 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (52.4% of total)
ival-sub: 5.0ms (26.2% of total)
ival-div: 3.0ms (15.7% 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
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.9%
(/.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)

simplify292.0ms (3%)

Memory
23.8MiB live, 417.1MiB 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

localize26.0ms (0.3%)

Memory
-10.4MiB live, 68.2MiB 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))
✓accuracy93.9%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Samples
16.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (35.9% of total)
ival-mult: 3.0ms (35.9% of total)
ival-div: 2.0ms (24% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-18.5MiB live, 19.6MiB 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
2.0ms
y
@-inf
(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms
y
@0
(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms
y
@inf
(/ (* (- 1 x) (- 3 x)) (* y 3))
1.0ms
y
@inf
(* y 3)
0.0ms
x
@0
(/ (* (- 1 x) (- 3 x)) (* y 3))

rewrite297.0ms (3%)

Memory
20.3MiB live, 607.5MiB 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)))

simplify323.0ms (3.3%)

Memory
-32.5MiB live, 512.3MiB 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))

eval96.0ms (1%)

Memory
32.8MiB live, 232.1MiB allocated
Compiler

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

prune135.0ms (1.4%)

Memory
-23.4MiB live, 210.9MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New80114815
Fresh000
Picked101
Done000
Total80214816
Accuracy
100.0%
Counts
816 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶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))
52.1%
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
93.9%
(/.f64 (fma.f64 x (+.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
46.3%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y #s(literal 3 binary64)))
▶57.5%
(/.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)))
94.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))) y)
57.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶46.6%
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
51.4%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
▶51.6%
(/.f64 #s(literal 1 binary64) y)
52.4%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
▶99.6%
(*.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 308 to 222 computations (27.9% saved)

simplify309.0ms (3.1%)

Memory
10.9MiB live, 438.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 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-diff-128
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(+.f64 #s(literal -4 binary64) x)
✓cost-diff0
(*.f64 x (+.f64 #s(literal -4 binary64) x))
✓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
10 538×accelerator-lowering-fma.f32
10 538×accelerator-lowering-fma.f64
2 560×*-lowering-*.f32
2 560×*-lowering-*.f64
1 696×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026115
160115
2128115
3321115
41055115
53503115
67626115
08182108
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
(/ (* x (+ -4 x)) (* y 3))
(* x (+ -4 x))
x
(+ -4 x)
-4
(* y 3)
y
3
(* (- 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 1 binary64) x) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 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
(/ (* x (+ -4 x)) (* y 3))
(/.f64 (fma.f64 (+.f64 x #s(literal -4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) y)
(* x (+ -4 x))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
x
(+ -4 x)
(+.f64 x #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
3
#s(literal 3 binary64)
(* (- 3 x) (* (/ (- 1 x) y) 1/3))
(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))
(- 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)

localize232.0ms (2.4%)

Memory
32.9MiB live, 191.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓accuracy99.6%
(*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
✓accuracy99.4%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64))
✓accuracy100.0%
(+.f64 #s(literal -4 binary64) x)
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -4 binary64) x))
✓accuracy93.9%
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.7%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(/.f64 #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))
✓accuracy99.8%
(/.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
202.0ms256×0valid
Compiler

Compiled 113 to 28 computations (75.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-add: 124.0ms (79.8% of total)
ival-div: 11.0ms (7.1% of total)
ival-mult: 10.0ms (6.4% of total)
const: 7.0ms (4.5% of total)
ival-sub: 3.0ms (1.9% 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
0.9MiB live, 37.6MiB allocated
Counts
15 → 264
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 (* x (+ -4 x))>
#<alt (+ -4 x)>
#<alt (/ (* x (+ -4 x)) (* y 3))>
#<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 (* -4 x)>
#<alt (* x (- x 4))>
#<alt (* x (- x 4))>
#<alt (* x (- x 4))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 1 (* 4 (/ 1 x))))>
#<alt -4>
#<alt (- x 4)>
#<alt (- x 4)>
#<alt (- x 4)>
#<alt x>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -4/3 (/ x y))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<alt (* 1/3 (/ (* x (- x 4)) y))>
#<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

66 calls:

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

rewrite453.0ms (4.6%)

Memory
-20.4MiB live, 611.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 784×/-lowering-/.f32
4 784×/-lowering-/.f64
3 904×*-lowering-*.f32
3 904×*-lowering-*.f64
3 376×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02689
115689
2139689
0836984
Stop Event
1×iter limit
1×node limit
Counts
15 → 1 040
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)
(* x (+ -4 x))
(+ -4 x)
(/ (* x (+ -4 x)) (* y 3))
(* (/ (- 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) (neg.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) x)))
(+.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (neg.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y))))
(+.f64 #s(literal 0 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 (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)) #s(literal 0 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 #s(literal 0 binary64) (/.f64 (/.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)) (fma.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))))
(-.f64 (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)) #s(literal 0 binary64))
(-.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)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) (neg.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y) x)))
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(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x)))
(+.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)) (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x)))
(neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) x))))
(neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))) (*.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 (*.f64 y (+.f64 x #s(literal 3 binary64))) (*.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 (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) y) (*.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 (*.f64 (+.f64 x #s(literal 3 binary64)) y) (*.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 (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)) y) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 y (*.f64 (-.f64 #s(literal 1 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 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 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 (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 (+.f64 x #s(literal 3 binary64)) y))
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 9 binary64) (*.f64 x x))) (+.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))) y)
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x)) y)
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)) (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) #s(literal 1/3 binary64)) y)) (+.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 y (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (*.f64 y (+.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 3 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 9 binary64) (*.f64 x x)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) x))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x)) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x))) (*.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))) (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)))) (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)) (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64))) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x)) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x)))) (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))) (*.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))) (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y))))) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)) (neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y)))))
(*.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) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) y) (/.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) #s(literal 1/3 binary64)) y))
(*.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) #s(literal 1/3 binary64)) y) (-.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) #s(literal 1/3 binary64)) y) (-.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) #s(literal 1/3 binary64)) y)) (/.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) #s(literal 1/3 binary64)) y)) (/.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)))

simplify371.0ms (3.8%)

Memory
-6.6MiB live, 682.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 344×accelerator-lowering-fma.f32
9 344×accelerator-lowering-fma.f64
3 778×*-lowering-*.f32
3 778×*-lowering-*.f64
2 164×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201949
13191886
28311820
321061654
459831654
084371498
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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)
(* -4 x)
(* x (- x 4))
(* x (- x 4))
(* x (- x 4))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
-4
(- x 4)
(- x 4)
(- x 4)
x
(* x (- 1 (* 4 (/ 1 x))))
(* x (- 1 (* 4 (/ 1 x))))
(* x (- 1 (* 4 (/ 1 x))))
x
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* -4/3 (/ x y))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(* 1/3 (/ (* x (- x 4)) y))
(/ 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))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #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 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/.f64 (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)
(-.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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1/3 (/ x y)) (/ 1 y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(+ (* -1/3 (/ x y)) (/ 1 y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(+ (* -1/3 (/ x y)) (/ 1 y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(* -1/3 (/ x y))
(fma.f64 x (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64))
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(* -1/3 (/ x y))
(fma.f64 x (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) y)
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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* -4/3 (/ x y)) (/ 1 y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* -4/3 (/ x y)) (/ 1 y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- (/ 1 (* x y)) (* 4/3 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* 4/3 (/ 1 y)) (/ 1 (* x y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (+ 3 (* -4 x)) y))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
3
#s(literal 3 binary64)
(+ 3 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(+ 3 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(+ 3 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 (/ 1 x)) 4))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 4))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 4))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* -1 (* x (- 4 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -4 binary64) #s(literal 3 binary64))
(* 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))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- x 4))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* x (- x 4))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* x (- x 4))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -4 binary64)))
-4
#s(literal -4 binary64)
(- x 4)
(+.f64 x #s(literal -4 binary64))
(- x 4)
(+.f64 x #s(literal -4 binary64))
(- x 4)
(+.f64 x #s(literal -4 binary64))
x
(* x (- 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal -4 binary64))
(* x (- 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal -4 binary64))
(* x (- 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal -4 binary64))
x
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(+.f64 x #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(+.f64 x #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(+.f64 x #s(literal -4 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* 1/3 (/ (* x (- x 4)) y))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* -1/3 (/ x y))
(fma.f64 x (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* -1/3 (/ x y))
(fma.f64 x (/.f64 #s(literal -1/3 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/3 binary64)) y)
(* 1/3 (/ (- 1 x) y))
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #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 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 #s(literal 0 binary64) (/.f64 x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 (* x y)) (/ 1 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (/ x y))
(-.f64 #s(literal 0 binary64) (/.f64 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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #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 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (* (- 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)

eval434.0ms (4.4%)

Memory
-28.7MiB live, 473.2MiB allocated
Compiler

Compiled 29 798 to 2 874 computations (90.4% saved)

prune153.0ms (1.6%)

Memory
-5.9MiB live, 512.1MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1 37291 381
Fresh639
Picked325
Done000
Total1 381141 395
Accuracy
100.0%
Counts
1 395 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.3%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
52.1%
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
▶10.4%
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
57.7%
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
✓57.5%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶94.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))) y)
52.4%
(/.f64 (*.f64 (+.f64 x #s(literal -4 binary64)) #s(literal 1/3 binary64)) (/.f64 y x))
▶46.3%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
▶51.4%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓51.6%
(/.f64 #s(literal 1 binary64) y)
▶52.4%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
52.4%
(*.f64 (+.f64 x #s(literal -4 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64))))
52.4%
(*.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -4 binary64)) y)) #s(literal 1/3 binary64))
52.4%
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
Compiler

Compiled 251 to 177 computations (29.5% saved)

simplify293.0ms (3%)

Memory
10.8MiB live, 529.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
✓cost-diff0
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff-64
(*.f64 x x)
✓cost-diff-64
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
✓cost-diff0
(*.f64 y #s(literal 3 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 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 #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)))
Rules
8 928×accelerator-lowering-fma.f32
8 928×accelerator-lowering-fma.f64
3 092×*-lowering-*.f32
3 092×*-lowering-*.f64
2 218×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391
16089
214089
326089
459589
5131989
6323389
7618889
0810582
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (- 1 x) (+ (* x -1/3) 1)) y)
(* (- 1 x) (+ (* x -1/3) 1))
(- 1 x)
1
x
(+ (* x -1/3) 1)
-1/3
y
(/ 3 (* y 3))
3
(* y 3)
y
(+ (* -4/3 (/ x y)) 0)
-4/3
(/ x y)
x
y
0
(/ (* x x) (* y 3))
(* x x)
x
(* y 3)
y
3
(* (/ x y) (+ (* x 1/3) -4/3))
(/ x y)
x
y
(+ (* x 1/3) -4/3)
1/3
-4/3
Outputs
(/ (* (- 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
(/ 3 (* y 3))
(/.f64 #s(literal 1 binary64) y)
3
#s(literal 3 binary64)
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
(+ (* -4/3 (/ x y)) 0)
(fma.f64 x (/.f64 #s(literal -4/3 binary64) y) #s(literal 0 binary64))
-4/3
#s(literal -4/3 binary64)
(/ x y)
(/.f64 x y)
x
y
0
#s(literal 0 binary64)
(/ (* x x) (* y 3))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* y 3)
(*.f64 y #s(literal 3 binary64))
y
3
#s(literal 3 binary64)
(* (/ x y) (+ (* x 1/3) -4/3))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
x
y
(+ (* x 1/3) -4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
1/3
#s(literal 1/3 binary64)
-4/3
#s(literal -4/3 binary64)

localize110.0ms (1.1%)

Memory
-38.3MiB live, 130.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.8%
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓accuracy99.7%
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy88.0%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.6%
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 y #s(literal 3 binary64))
✓accuracy99.7%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy99.9%
(*.f64 (-.f64 #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)
Samples
67.0ms256×0valid
Compiler

Compiled 89 to 25 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
const: 29.0ms (54.9% of total)
ival-mult: 10.0ms (18.9% of total)
ival-div: 7.0ms (13.3% of total)
ival-add: 5.0ms (9.5% of total)
ival-sub: 2.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
12 → 204
Calls
Call 1
Inputs
#<alt (* (- 1 x) (+ (* x -1/3) 1))>
#<alt (/ (* (- 1 x) (+ (* x -1/3) 1)) y)>
#<alt (- 1 x)>
#<alt (+ (* x -1/3) 1)>
#<alt (/ 3 (* y 3))>
#<alt (* y 3)>
#<alt (+ (* -4/3 (/ x y)) 0)>
#<alt (/ x y)>
#<alt (/ (* x x) (* y 3))>
#<alt (* x x)>
#<alt (+ (* x 1/3) -4/3)>
#<alt (* (/ x y) (+ (* x 1/3) -4/3))>
Outputs
#<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)>
#<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>
#<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 (/ 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 (/ (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 -4/3>
#<alt (- (* 1/3 x) 4/3)>
#<alt (- (* 1/3 x) 4/3)>
#<alt (- (* 1/3 x) 4/3)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -4/3 (/ x y))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
#<alt (/ (* x (- (* 1/3 x) 4/3)) y)>
Calls

51 calls:

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

rewrite610.0ms (6.2%)

Memory
4.7MiB live, 547.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 230×accelerator-lowering-fma.f32
4 230×accelerator-lowering-fma.f64
4 028×/-lowering-/.f32
4 028×/-lowering-/.f64
3 468×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02368
113366
2113466
0872661
Stop Event
1×iter limit
1×node limit
Counts
12 → 1 254
Calls
Call 1
Inputs
(* (- 1 x) (+ (* x -1/3) 1))
(/ (* (- 1 x) (+ (* x -1/3) 1)) y)
(- 1 x)
(+ (* x -1/3) 1)
(/ 3 (* y 3))
(* y 3)
(+ (* -4/3 (/ x y)) 0)
(/ x y)
(/ (* x x) (* y 3))
(* x x)
(+ (* x 1/3) -4/3)
(* (/ x y) (+ (* x 1/3) -4/3))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (-.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 1 binary64) x) x) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #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 (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (fma.f64 (*.f64 x x) #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 #s(literal 0 binary64) x) (fma.f64 x #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/3 binary64)))
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(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal -64/27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (fma.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 x #s(literal -4/3 binary64)) (*.f64 x #s(literal -4/3 binary64))) (*.f64 y y)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) y)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) y))) (/.f64 (*.f64 (*.f64 x #s(literal -4/3 binary64)) (*.f64 x #s(literal -4/3 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64)) (/.f64 y x))))
(*.f64 (*.f64 (/.f64 x y) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal -64/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 16/9 binary64)) (*.f64 x #s(literal -4/9 binary64)))))
(*.f64 (*.f64 (/.f64 x y) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -16/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))))
(*.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal -64/27 binary64)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 16/9 binary64)) (*.f64 x #s(literal -4/9 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -16/9 binary64)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64) #s(literal -64/27 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 16/9 binary64)) (*.f64 x #s(literal -4/9 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -16/9 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))

simplify353.0ms (3.6%)

Memory
-11.4MiB live, 578.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 170×accelerator-lowering-fma.f32
9 170×accelerator-lowering-fma.f64
3 336×*-lowering-*.f32
3 336×*-lowering-*.f64
2 438×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821258
12111246
25191150
312591150
438481150
570711150
083561069
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
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)
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
(+ 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))
(/ 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 (/ (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)
-4/3
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(* 1/3 x)
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -4/3 (/ x y))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
Outputs
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))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 0 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))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 0 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))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #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))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 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)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(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))
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)
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)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 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)
(fma.f64 x #s(literal -1/3 binary64) #s(literal 0 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)
(*.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))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 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)
-4/3
#s(literal -4/3 binary64)
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 0 binary64)) y)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))
(/ (* x (- (* 1/3 x) 4/3)) y)
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y) #s(literal 0 binary64))

eval193.0ms (2%)

Memory
6.1MiB live, 469.6MiB allocated
Compiler

Compiled 32 330 to 3 064 computations (90.5% saved)

prune262.0ms (2.7%)

Memory
-15.8MiB live, 392.5MiB allocated
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1 510101 520
Fresh527
Picked325
Done022
Total1 518161 534
Accuracy
100.0%
Counts
1 534 → 16
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)
57.7%
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
✓57.5%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
▶57.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
✓46.3%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
52.2%
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x))
▶10.4%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓51.4%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓51.6%
(/.f64 #s(literal 1 binary64) y)
52.1%
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)
52.4%
(*.f64 (/.f64 x y) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
▶52.2%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
10.4%
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
▶51.2%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
52.1%
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
52.4%
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
Compiler

Compiled 243 to 172 computations (29.2% saved)

simplify289.0ms (2.9%)

Memory
2.7MiB live, 317.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x #s(literal 1/3 binary64))
✓cost-diff-64
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
✓cost-diff320
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓cost-diff-64
(*.f64 x #s(literal -4/3 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
✓cost-diff0
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
Rules
4 562×accelerator-lowering-fma.f32
4 562×accelerator-lowering-fma.f64
2 814×*-lowering-*.f32
2 814×*-lowering-*.f64
1 060×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02080
14780
29080
314380
423680
548980
6127680
7357180
8581280
9710580
0825175
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)
(+ (* x (+ (* x 1/3) -4/3)) 1)
x
(+ (* x 1/3) -4/3)
1/3
-4/3
1
y
(* (/ 1/3 y) 3)
(/ 1/3 y)
1/3
y
3
(/ (* x -4/3) y)
(* x -4/3)
x
-4/3
y
(/ (* (- 1 x) 1) y)
(* (- 1 x) 1)
(- 1 x)
1
x
y
(* (/ x y) (* x 1/3))
(/ x y)
x
y
(* x 1/3)
1/3
Outputs
(/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(+ (* x (+ (* x 1/3) -4/3)) 1)
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
x
(+ (* x 1/3) -4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
1/3
#s(literal 1/3 binary64)
-4/3
#s(literal -4/3 binary64)
1
#s(literal 1 binary64)
y
(* (/ 1/3 y) 3)
(/.f64 #s(literal 1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
1/3
#s(literal 1/3 binary64)
y
3
#s(literal 3 binary64)
(/ (* x -4/3) y)
(fma.f64 x (/.f64 #s(literal -4/3 binary64) y) #s(literal 0 binary64))
(* x -4/3)
(fma.f64 x #s(literal -4/3 binary64) #s(literal 0 binary64))
x
-4/3
#s(literal -4/3 binary64)
y
(/ (* (- 1 x) 1) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* (- 1 x) 1)
(-.f64 #s(literal 1 binary64) x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
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)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
1/3
#s(literal 1/3 binary64)

localize175.0ms (1.8%)

Memory
21.5MiB live, 100.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.8%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 x #s(literal 1/3 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
✓accuracy99.5%
(*.f64 x #s(literal -4/3 binary64))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64))
✓accuracy99.3%
(/.f64 #s(literal 1/3 binary64) y)
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
✓accuracy94.1%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
Samples
98.0ms256×0valid
Compiler

Compiled 83 to 22 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 65.0ms (77.4% of total)
ival-mult: 9.0ms (10.7% of total)
const: 6.0ms (7.1% of total)
ival-add: 2.0ms (2.4% of total)
ival-sub: 1.0ms (1.2% 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
7.1MiB live, 7.1MiB allocated
Counts
13 → 216
Calls
Call 1
Inputs
#<alt (/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)>
#<alt (+ (* x (+ (* x 1/3) -4/3)) 1)>
#<alt (+ (* x 1/3) -4/3)>
#<alt (* (/ 1/3 y) 3)>
#<alt (/ 1/3 y)>
#<alt (/ (* x -4/3) y)>
#<alt (* x -4/3)>
#<alt (* (- 1 x) 1)>
#<alt (/ (* (- 1 x) 1) y)>
#<alt (- 1 x)>
#<alt (/ x y)>
#<alt (* (/ x y) (* x 1/3))>
#<alt (* x 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 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)>
#<alt 1>
#<alt (+ 1 (* -4/3 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 4/3)))>
#<alt (+ 1 (* x (- (* 1/3 x) 4/3)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))>
#<alt -4/3>
#<alt (- (* 1/3 x) 4/3)>
#<alt (- (* 1/3 x) 4/3)>
#<alt (- (* 1/3 x) 4/3)>
#<alt (* 1/3 x)>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* x (- 1/3 (* 4/3 (/ 1 x))))>
#<alt (* 1/3 x)>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (/ 1/3 y)>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 (/ x y))>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt 1>
#<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 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (+ (* -1 (/ x y)) (/ 1 y))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt (/ (- 1 x) y)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (/ 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 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 (/ (pow x 2) y))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
Calls

54 calls:

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

rewrite374.0ms (3.8%)

Memory
-19.9MiB live, 609.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 290×accelerator-lowering-fma.f32
5 290×accelerator-lowering-fma.f64
4 792×*-lowering-*.f32
4 792×*-lowering-*.f64
3 652×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02063
110863
273563
3779963
0825258
Stop Event
1×iter limit
1×node limit
Counts
13 → 942
Calls
Call 1
Inputs
(/ (+ (* x (+ (* x 1/3) -4/3)) 1) y)
(+ (* x (+ (* x 1/3) -4/3)) 1)
(+ (* x 1/3) -4/3)
(* (/ 1/3 y) 3)
(/ 1/3 y)
(/ (* x -4/3) y)
(* x -4/3)
(* (- 1 x) 1)
(/ (* (- 1 x) 1) y)
(- 1 x)
(/ x y)
(* (/ x y) (* x 1/3))
(* x 1/3)
Outputs
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))
(+.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (*.f64 y #s(literal -3/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64))) y))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))) (*.f64 y (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal -1 binary64)))))
(fma.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) y) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x y) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #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))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) #s(literal 3 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)))
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(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) y))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) y)
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 y (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(*.f64 x (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) y))
(*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (/.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) y) (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) y)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) y))
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))

simplify275.0ms (2.8%)

Memory
5.6MiB live, 448.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 194×accelerator-lowering-fma.f32
8 194×accelerator-lowering-fma.f64
3 152×*-lowering-*.f32
3 152×*-lowering-*.f64
1 572×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0791209
12061146
25121138
312491098
436691098
563531062
08117999
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
1
(+ 1 (* -4/3 x))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 4/3 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
-4/3
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(* 1/3 x)
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* 1/3 x)
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
1
(+ 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 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 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 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
Outputs
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* x (- (* 1/3 x) 4/3))) y)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -4/3 x))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/3 x) 4/3)))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(* 1/3 (pow x 2))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 0 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))
(fma.f64 #s(literal 1/3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/3 (* -1 (/ (- 4/3 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64))
-4/3
#s(literal -4/3 binary64)
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(- (* 1/3 x) 4/3)
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(/ 1/3 y)
(/.f64 #s(literal 1/3 binary64) y)
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 (/ x y))
(fma.f64 #s(literal -4/3 binary64) (/.f64 x y) #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 binary64))
(* -4/3 x)
(fma.f64 #s(literal -4/3 binary64) x #s(literal 0 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)
(/ 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)
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)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 (/ (pow x 2) y))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))
(* 1/3 x)
(fma.f64 x #s(literal 1/3 binary64) #s(literal 0 binary64))

eval135.0ms (1.4%)

Memory
37.3MiB live, 303.8MiB allocated
Compiler

Compiled 20 414 to 2 194 computations (89.3% saved)

prune144.0ms (1.5%)

Memory
-21.7MiB live, 334.7MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New1 15441 158
Fresh167
Picked235
Done044
Total1 157171 174
Accuracy
100.0%
Counts
1 174 → 17
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)
57.7%
(/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal 1 binary64)) y)
✓57.5%
(/.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
57.3%
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
✓46.3%
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
52.2%
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x))
✓10.4%
(/.f64 (*.f64 x #s(literal -4/3 binary64)) y)
10.4%
(/.f64 x (*.f64 y #s(literal -3/4 binary64)))
✓51.4%
(/.f64 #s(literal 3 binary64) (*.f64 y #s(literal 3 binary64)))
✓51.6%
(/.f64 #s(literal 1 binary64) y)
52.1%
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)
52.4%
(*.f64 (/.f64 x y) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
✓52.2%
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
10.4%
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
10.4%
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
52.1%
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
52.4%
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
Compiler

Compiled 442 to 192 computations (56.6% saved)

regimes62.0ms (0.6%)

Memory
8.8MiB live, 124.6MiB allocated
Counts
38 → 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 #s(literal -4/3 binary64) x #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(/.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))
(*.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -4 binary64)) y)) #s(literal 1/3 binary64))
(*.f64 (+.f64 x #s(literal -4 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 x y) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.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)))
(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 #s(literal 3 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 1/3 binary64))) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #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 x #s(literal -4 binary64)) #s(literal 1/3 binary64)) (/.f64 y x))
(/.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:

13.0ms
y
13.0ms
x
13.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
11.0ms
(*.f64 y #s(literal 3 binary64))
10.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
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 (2%)

Memory
16.4MiB live, 98.5MiB allocated
Counts
30 → 2
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 #s(literal -4/3 binary64) x #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(/.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))
(*.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -4 binary64)) y)) #s(literal 1/3 binary64))
(*.f64 (+.f64 x #s(literal -4 binary64)) (/.f64 x (*.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 x y) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -4/3 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.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)))
Outputs
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
Calls

5 calls:

157.0ms
y
10.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
8.0ms
(*.f64 y #s(literal 3 binary64))
8.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
8.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
94.0%1y
99.9%2(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
99.9%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
94.0%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes180.0ms (1.8%)

Memory
-15.6MiB live, 23.6MiB allocated
Counts
21 → 2
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 #s(literal -4/3 binary64) x #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(/.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 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
Calls

2 calls:

172.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
6.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
83.5%2(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
99.7%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
18 → 2
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 #s(literal -4/3 binary64) x #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
Outputs
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y))
Calls

1 calls:

5.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
99.7%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
17 → 2
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 #s(literal -4/3 binary64) x #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)
(/.f64 (*.f64 x x) (*.f64 y #s(literal 3 binary64)))
Outputs
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64)))
Calls

1 calls:

4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
99.4%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes36.0ms (0.4%)

Memory
-29.9MiB live, 9.2MiB allocated
Counts
14 → 2
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 #s(literal -4/3 binary64) x #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
Outputs
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
Calls

1 calls:

35.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
99.4%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes23.0ms (0.2%)

Memory
9.4MiB live, 48.0MiB allocated
Counts
13 → 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 #s(literal -4/3 binary64) x #s(literal 1 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 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
Outputs
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
Calls

5 calls:

5.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
4.0ms
y
4.0ms
(*.f64 y #s(literal 3 binary64))
4.0ms
x
4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
57.7%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
57.7%1y
57.7%1(*.f64 y #s(literal 3 binary64))
57.7%1x
57.7%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes20.0ms (0.2%)

Memory
-21.0MiB live, 37.0MiB 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

5 calls:

7.0ms
(*.f64 y #s(literal 3 binary64))
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
57.3%1y
57.3%1(*.f64 y #s(literal 3 binary64))
57.3%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
57.3%1x
57.3%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB 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

5 calls:

1.0ms
(*.f64 y #s(literal 3 binary64))
1.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
51.6%1y
51.6%1(*.f64 y #s(literal 3 binary64))
51.6%1x
51.6%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
51.6%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.210982588953066e+58
2.704309268279302e+62
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.0000000000000018
1218550150.4657326
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.0000000000000018
1218550150.4657326
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.0000000000000018
1218550150.4657326
Compiler

Compiled 16 to 15 computations (6.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.0000000000000018
1218550150.4657326
Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify16.0ms (0.2%)

Memory
-23.2MiB live, 16.2MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
6×+-commutative_binary64
6×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038145
150145
255145
357145
458145
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 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 19999999999999998876238979948827261631594308857026393931776 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #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 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 19999999999999998876238979948827261631594308857026393931776 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)) y) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 (/.f64 x y) (*.f64 x #s(literal 1/3 binary64))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y) (*.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 x y))))
(/.f64 (fma.f64 #s(literal -4/3 binary64) x #s(literal 1 binary64)) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) y)

soundness1.6s (15.9%)

Memory
44.5MiB live, 1 024.6MiB allocated
Rules
9 344×accelerator-lowering-fma.f32
9 344×accelerator-lowering-fma.f64
9 170×accelerator-lowering-fma.f32
9 170×accelerator-lowering-fma.f64
8 634×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078446
1216446
2543446
31544418
44030418
57653418
08496384
02368
113366
2113466
0872661
02689
115689
2139689
0836984
01201949
13191886
28311820
321061654
459831654
084371498
02063
110863
273563
3779963
0825258
0821258
12111246
25191150
312591150
438481150
570711150
083561069
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
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 390 to 212 computations (45.6% saved)

preprocess65.0ms (0.7%)

Memory
1.5MiB live, 157.0MiB allocated
Remove

(negabs y)

Compiler

Compiled 402 to 148 computations (63.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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