Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 7.9s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample736.0ms (9.4%)

Memory
14.5MiB live, 1 042.5MiB allocated
Samples
489.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-mult: 185.0ms (74.5% of total)
ival-sub: 46.0ms (18.5% of total)
exact: 8.0ms (3.2% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess61.0ms (0.8%)

Memory
-14.9MiB live, 67.1MiB allocated
Algorithm
1×egg-herbie
Rules
616×lower-fma.f64
616×lower-fma.f32
392×lower-*.f32
386×lower-*.f64
204×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
13618
212018
345118
484518
594018
694418
079
0119
1209
2489
31129
42089
52669
63469
75009
86239
97049
108729
118749
08748
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))

explain74.0ms (0.9%)

Memory
26.7MiB live, 140.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (69.5% of total)
ival-sub: 3.0ms (23.2% 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 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify39.0ms (0.5%)

Memory
-24.7MiB live, 55.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓cost-diff128
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
Rules
616×lower-fma.f64
616×lower-fma.f32
392×lower-*.f32
386×lower-*.f64
166×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12023
24823
311223
420823
526623
634623
750023
862323
970423
1087223
1187423
087421
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize21.0ms (0.3%)

Memory
-2.7MiB live, 36.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Samples
12.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (62.4% of total)
ival-sub: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 2 binary64))>
Outputs
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<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 (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x x)
0.0ms
x
@inf
(- 3 (* x 2))
0.0ms
x
@0
(* (* x x) (- 3 (* x 2)))
0.0ms
x
@-inf
(* x 2)
0.0ms
x
@-inf
(* (* x x) (- 3 (* x 2)))

rewrite353.0ms (4.5%)

Memory
32.3MiB live, 503.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 334×lower-fma.f64
9 334×lower-fma.f32
4 144×lower-*.f32
4 138×lower-*.f64
3 844×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
13520
221920
3175920
0851618
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 287
Calls
Call 1
Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))))
(-.f64 (/.f64 #s(literal 729 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64)))))
(-.f64 (/.f64 #s(literal 19683 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64)))))
(-.f64 (/.f64 #s(literal 81 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x)) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (*.f64 x x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)) #s(literal 81 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify496.0ms (6.3%)

Memory
-41.6MiB live, 536.3MiB allocated
Algorithm
1×egg-herbie
Rules
20 650×lower-fma.f64
20 650×lower-fma.f32
3 112×lower-*.f64
3 112×lower-*.f32
2 720×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024220
163220
2165220
3494220
41369220
52276220
63140220
73877220
85631220
96275220
106644220
08428202
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(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)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval83.0ms (1.1%)

Memory
13.8MiB live, 51.6MiB allocated
Compiler

Compiled 10 086 to 956 computations (90.5% saved)

prune96.0ms (1.2%)

Memory
13.5MiB live, 90.0MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New32411335
Fresh000
Picked101
Done000
Total32511336
Accuracy
100.0%
Counts
336 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.3%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
96.2%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
▶99.7%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 x x)))
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
▶99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
78.4%
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
▶71.3%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
60.2%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
▶60.2%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 266 to 164 computations (38.3% saved)

simplify11.0ms (0.1%)

Memory
-34.3MiB live, 9.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff1088
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff640
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 3 binary64)))
✓cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
Rules
58×lower-*.f32
38×lower-*.f64
36×lower-fma.f32
32×lower-fma.f64
28×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018106
033100
159100
27496
38996
49496
09496
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x (*.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 x x)
x
#s(literal 3 binary64)
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
x
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x x)
x
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 x x)
x
#s(literal 3 binary64)
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)

localize69.0ms (0.9%)

Memory
20.4MiB live, 134.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
✓accuracy99.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
✓accuracy87.4%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) x)
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
✓accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓accuracy99.8%
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
Samples
33.0ms233×0valid
4.0ms10×2valid
3.0ms13×1valid
Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 19.0ms (71.8% of total)
ival-div: 4.0ms (15.1% of total)
ival-add: 3.0ms (11.3% of total)
adjust: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)>
#<alt (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))>
#<alt (*.f64 x (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))>
#<alt (*.f64 x x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))>
#<alt (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
Outputs
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<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 (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* x (+ 2/9 (* 4/27 x))))>
#<alt (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x 3)
0.0ms
x
@0
(* (* x x) (* -2 x))
0.0ms
x
@inf
(* x (* x 3))
0.0ms
x
@inf
(+ (* (* x x) 3) (* x (* x (* x -2))))
0.0ms
x
@0
(* (* x (+ (* x -2) 3)) x)

rewrite464.0ms (5.9%)

Memory
14.3MiB live, 530.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 508×lower-fma.f32
7 504×lower-fma.f64
5 010×lower-*.f32
4 990×lower-*.f64
2 376×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01882
03376
110276
255172
3583172
0815572
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 085
Calls
Call 1
Inputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 x x)
(*.f64 #s(literal -2 binary64) x)
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x #s(literal -2 binary64))
Outputs
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
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(*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64) #s(literal -729 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64) #s(literal -81 binary64))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)))
(*.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -512 binary64) #s(literal 19683 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64) (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -216 binary64)))))
(*.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64) #s(literal -729 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)

simplify290.0ms (3.7%)

Memory
-11.5MiB live, 468.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 574×lower-fma.f64
8 574×lower-fma.f32
2 244×lower-*.f64
2 244×lower-*.f32
1 738×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078910
1212906
2489900
31126900
42425900
55136900
08205849
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(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)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(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)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) x)
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))

eval186.0ms (2.4%)

Memory
1.6MiB live, 464.9MiB allocated
Compiler

Compiled 35 348 to 1 959 computations (94.5% saved)

prune351.0ms (4.5%)

Memory
12.1MiB live, 284.8MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1 46071 467
Fresh336
Picked145
Done000
Total1 464141 478
Accuracy
100.0%
Counts
1 478 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.3%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
▶71.8%
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
96.2%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
71.3%
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
78.3%
(/.f64 (*.f64 x x) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))))
▶60.1%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
▶71.3%
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶99.9%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
78.3%
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))) x)) x)
✓99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓71.3%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
▶60.2%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓60.2%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 308 to 205 computations (33.4% saved)

simplify462.0ms (5.9%)

Memory
-19.7MiB live, 413.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))
✓cost-diff0
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x)
✓cost-diff0
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
✓cost-diff128
(-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff1088
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff384
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
✓cost-diff320
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
Rules
6 974×lower-fma.f32
6 968×lower-fma.f64
4 184×lower-*.f32
4 166×lower-*.f64
1 774×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027153
047141
190139
2166137
3271137
4391137
5574137
6828137
71141137
81804134
93320134
104025134
114532134
125239134
137015134
08272130
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
x
#s(literal 3 binary64)
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))
x
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -8 binary64)
#s(literal 27 binary64)
(fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))
(-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -6 binary64)
#s(literal 9 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
#s(literal 3 binary64)
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 3 binary64)
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/3 binary64)
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
x
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(literal -8 binary64)
#s(literal 27 binary64)
(fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -6 binary64)
#s(literal 9 binary64)

localize135.0ms (1.7%)

Memory
-1.5MiB live, 153.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x)
✓accuracy73.6%
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.8%
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.6%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
✓accuracy99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
Samples
64.0ms232×0valid
4.0ms13×1valid
4.0ms10×2valid
1.0ms1×4valid
Compiler

Compiled 163 to 32 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 18.0ms (50.3% of total)
ival-div: 6.0ms (16.8% of total)
const: 4.0ms (11.2% of total)
ival-add: 4.0ms (11.2% of total)
adjust: 1.0ms (2.8% of total)
ival-sub: 1.0ms (2.8% of total)
exact: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))>
#<alt (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)>
#<alt (*.f64 x (*.f64 x #s(literal -2 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal 3 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (*.f64 x x) #s(literal 1/3 binary64))>
#<alt (/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))>
#<alt (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))>
#<alt (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x)>
#<alt (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))>
#<alt (*.f64 x (*.f64 x x))>
Outputs
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (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 (pow x 2)>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt 6>
#<alt (+ 6 (* 4 x))>
#<alt (+ 6 (* 4 x))>
#<alt (+ 6 (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 6 (/ 1 x))))>
#<alt (* x (+ 4 (* 6 (/ 1 x))))>
#<alt (* x (+ 4 (* 6 (/ 1 x))))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 6 (/ 1 x))))>
#<alt (* x (+ 4 (* 6 (/ 1 x))))>
#<alt (* x (+ 4 (* 6 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 27 (pow x 2))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* -8 (pow x 5))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* 27 x)>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* x (+ 27 (* -8 (pow x 3))))>
#<alt (* -8 (pow x 4))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 4))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (* (* x (+ (* (* x (* x x)) -8) 27)) x) (+ (* x (- (* x 4) -6)) 9))
1.0ms
x
@-inf
(/ (* (* x (+ (* (* x (* x x)) -8) 27)) x) (+ (* x (- (* x 4) -6)) 9))
1.0ms
x
@0
(/ (* (* x (+ (* (* x (* x x)) -8) 27)) x) (+ (* x (- (* x 4) -6)) 9))
0.0ms
x
@inf
(* (* x (+ (* (* x (* x x)) -8) 27)) x)
0.0ms
x
@-inf
(* x (+ (* (* x (* x x)) -8) 27))

rewrite409.0ms (5.2%)

Memory
5.1MiB live, 592.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 734×lower-fma.f32
7 728×lower-fma.f64
5 546×lower-*.f32
5 528×lower-*.f64
3 844×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027106
04796
117390
2104490
0871186
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 688
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))
(*.f64 x (*.f64 x x))
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 9 binary64) x)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 #s(literal 9 binary64) x)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 x (*.f64 #s(literal 9 binary64) x)) (*.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 x) #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 #s(literal 9 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal 9 binary64) x) (/.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) x) (/.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) x) x) (/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (neg.f64 (fma.f64 x (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (neg.f64 x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (fma.f64 x (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) x) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 #s(literal -6 binary64) (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) x) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 #s(literal -6 binary64) (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (*.f64 #s(literal 9 binary64) x) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) x) (*.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 #s(literal -6 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 (neg.f64 x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 9 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal -1/3 binary64)))
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal -1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -2/3 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
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(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal -27 binary64))))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal -27 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -512 binary64) #s(literal 19683 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -512 binary64) #s(literal 19683 binary64)) x)) (neg.f64 (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) #s(literal 729 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (*.f64 (*.f64 x #s(literal 27 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 729 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) (-.f64 (*.f64 x #s(literal 27 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (*.f64 x #s(literal 27 binary64)) (-.f64 (*.f64 x #s(literal 27 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal -27 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -512 binary64) #s(literal 19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal -27 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -512 binary64) #s(literal 19683 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal -729 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal -27 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))

simplify248.0ms (3.2%)

Memory
-12.7MiB live, 297.8MiB allocated
Algorithm
1×egg-herbie
Rules
5 110×lower-fma.f64
5 110×lower-fma.f32
3 786×lower-*.f64
3 786×lower-*.f32
1 600×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054936
1143936
2321936
3821936
42194936
53941936
67042936
08177882
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (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)
(pow x 2)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
6
(+ 6 (* 4 x))
(+ 6 (* 4 x))
(+ 6 (* 4 x))
(* 4 x)
(* x (+ 4 (* 6 (/ 1 x))))
(* x (+ 4 (* 6 (/ 1 x))))
(* x (+ 4 (* 6 (/ 1 x))))
(* 4 x)
(* x (+ 4 (* 6 (/ 1 x))))
(* x (+ 4 (* 6 (/ 1 x))))
(* x (+ 4 (* 6 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* -8 (pow x 5))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 5))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(* 27 x)
(* x (+ 27 (* -8 (pow x 3))))
(* x (+ 27 (* -8 (pow x 3))))
(* x (+ 27 (* -8 (pow x 3))))
(* -8 (pow x 4))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 4))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.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)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
6
#s(literal 6 binary64)
(+ 6 (* 4 x))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(+ 6 (* 4 x))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(+ 6 (* 4 x))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(* x (+ 4 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(* x (+ 4 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(* x (+ 4 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(* x (+ 4 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 27 (pow x 2))
(*.f64 x (*.f64 x #s(literal 27 binary64)))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* -8 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* -8 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))))
(* 27 x)
(*.f64 x #s(literal 27 binary64))
(* x (+ 27 (* -8 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(* x (+ 27 (* -8 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(* x (+ 27 (* -8 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(* -8 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(* -8 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(* (pow x 4) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

eval121.0ms (1.5%)

Memory
26.0MiB live, 300.1MiB allocated
Compiler

Compiled 23 381 to 2 340 computations (90% saved)

prune104.0ms (1.3%)

Memory
-7.8MiB live, 301.3MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1 01231 015
Fresh325
Picked145
Done044
Total1 016131 029
Accuracy
100.0%
Counts
1 029 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.3%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
▶71.3%
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
✓60.1%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
▶71.3%
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓71.3%
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶78.3%
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
✓99.9%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
▶99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
▶60.1%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓71.3%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
✓60.2%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓60.2%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 181 to 121 computations (33.1% saved)

simplify541.0ms (6.9%)

Memory
-103.7MiB live, 547.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))
✓cost-diff0
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓cost-diff1088
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff768
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓cost-diff0
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
Rules
5 716×lower-*.f32
5 702×lower-*.f64
5 152×lower-fma.f32
5 144×lower-fma.f64
2 176×lower-+.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
028147
049137
191131
2181131
3327131
4602131
5943131
61417128
72284128
83223128
93888128
104578128
116133128
126603128
136964128
147436128
08030128
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 x x)
x
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -8 binary64)
#s(literal 27 binary64)
(*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x x)
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 x x)
x
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
#s(literal -8 binary64)
#s(literal 27 binary64)
(*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)

localize83.0ms (1.1%)

Memory
-7.1MiB live, 230.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
✓accuracy99.4%
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
✓accuracy80.3%
(/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.8%
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓accuracy99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
Samples
49.0ms256×0valid
Compiler

Compiled 162 to 33 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 15.0ms (44.3% of total)
ival-div: 13.0ms (38.4% of total)
ival-add: 5.0ms (14.8% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-22.5MiB live, 16.5MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))>
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) x)>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))>
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))>
#<alt (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))>
Outputs
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt 27>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/9 x)>
#<alt (* x (+ 1/9 (* -2/27 x)))>
#<alt (* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))>
#<alt (* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))>
#<alt (/ 1/4 x)>
#<alt (/ (- 1/4 (* 3/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)>
#<alt (/ 1/4 x)>
#<alt (* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -2/27 x)))>
#<alt (* (pow x 2) (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))>
#<alt (* (pow x 2) (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))>
#<alt 1/4>
#<alt (- 1/4 (* 3/8 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4)))))>
#<alt 1/4>
#<alt (- 1/4 (* 3/8 (/ 1 x)))>
#<alt (+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x)))>
Calls

48 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ -1/2 x)
0.0ms
x
@0
(/ x (+ (* x (+ (* x 4) 6)) 9))
0.0ms
x
@inf
(/ x (+ (* x (+ (* x 4) 6)) 9))
0.0ms
x
@-inf
(/ -1/2 x)
0.0ms
x
@-inf
(/ 1 x)

rewrite676.0ms (8.6%)

Memory
12.7MiB live, 706.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 932×lower-fma.f32
9 924×lower-fma.f64
5 942×lower-*.f32
5 928×lower-*.f64
2 948×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028110
04990
118682
2116882
0871882
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 086
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(*.f64 x x)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
(/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
Outputs
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64))) (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (*.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(-.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64)) (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(fma.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (*.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64))))
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -8 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (*.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -8 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64)) (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (*.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64))))
(fma.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x #s(literal 27 binary64)) (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64) (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (*.f64 x (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 27 binary64))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (neg.f64 x))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -8 binary64)) (*.f64 x (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (neg.f64 x) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
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(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
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(fma.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal -81 binary64))) (*.f64 #s(literal -9 binary64) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal -81 binary64)))))
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(neg.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (neg.f64 x) #s(literal -9 binary64))) x))
(neg.f64 (*.f64 x (/.f64 x (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (neg.f64 x) #s(literal -9 binary64)))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 x (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) x))
(/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 x x))))
(/.f64 (*.f64 x (neg.f64 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (neg.f64 x) #s(literal -9 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) x)))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) x) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) x)
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x x))
(*.f64 (neg.f64 x) (/.f64 x (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (neg.f64 x) #s(literal -9 binary64))))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) x))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) #s(literal 729 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 81 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal -81 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) #s(literal 729 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 81 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) #s(literal 729 binary64))) (*.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 81 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))) x))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal -81 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal -81 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) #s(literal 729 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 81 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal -81 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) #s(literal 729 binary64))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 81 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal -81 binary64))) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)))))
(*.f64 (*.f64 x (/.f64 x (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 81 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (*.f64 x (/.f64 x (fma.f64 x (*.f64 x (*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal -81 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal -9 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (neg.f64 x))

simplify249.0ms (3.2%)

Memory
-13.6MiB live, 298.2MiB allocated
Algorithm
1×egg-herbie
Rules
5 168×lower-fma.f64
5 168×lower-fma.f32
2 774×lower-*.f64
2 774×lower-*.f32
1 410×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081014
13151014
27791014
320401014
459231014
08261966
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
27
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/9 x)
(* x (+ 1/9 (* -2/27 x)))
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(/ 1/4 x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(/ 1/4 x)
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -2/27 x)))
(* (pow x 2) (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(* (pow x 2) (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
1/4
(- 1/4 (* 3/8 (/ 1 x)))
(- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x)))
(- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4)))))
1/4
(- 1/4 (* 3/8 (/ 1 x)))
(+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x)))
(+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x)))
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
27
#s(literal 27 binary64)
(+ 27 (* -8 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(+ 27 (* -8 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(+ 27 (* -8 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)) #s(literal 27 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* x (+ 1/9 (* -2/27 x)))
(*.f64 x (fma.f64 x #s(literal -2/27 binary64) #s(literal 1/9 binary64)))
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 8/243 binary64) #s(literal -2/27 binary64)) #s(literal 1/9 binary64)))
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -16/729 binary64) #s(literal 8/243 binary64))) #s(literal -2/27 binary64)) #s(literal 1/9 binary64)))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x)) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -27/32 binary64) (*.f64 x x)))) x)) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -27/32 binary64) (*.f64 x x)))) x)) x)
(* 1/9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* -2/27 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2/27 binary64) #s(literal 1/9 binary64))))
(* (pow x 2) (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 8/243 binary64) #s(literal -2/27 binary64)) #s(literal 1/9 binary64)))
(* (pow x 2) (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x #s(literal -16/729 binary64) #s(literal 8/243 binary64))) #s(literal -2/27 binary64)) #s(literal 1/9 binary64))))
1/4
#s(literal 1/4 binary64)
(- 1/4 (* 3/8 (/ 1 x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x))
(- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x))
(- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4)))))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -27/32 binary64) (*.f64 x x)))) x))
1/4
#s(literal 1/4 binary64)
(- 1/4 (* 3/8 (/ 1 x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x))
(+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x))
(+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -27/32 binary64) (*.f64 x x)))) x))

eval161.0ms (2%)

Memory
19.2MiB live, 335.6MiB allocated
Compiler

Compiled 31 806 to 2 136 computations (93.3% saved)

prune155.0ms (2%)

Memory
-11.2MiB live, 222.5MiB allocated
Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New1 38611 387
Fresh000
Picked145
Done178
Total1 388121 400
Accuracy
100.0%
Counts
1 400 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓87.3%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
✓60.1%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓71.3%
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
71.3%
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓78.3%
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
✓99.9%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
✓99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
✓60.1%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓71.3%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
✓60.2%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓60.2%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 388 to 161 computations (58.5% saved)

regimes14.0ms (0.2%)

Memory
34.9MiB live, 34.9MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 x (/.f64 x (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) x) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))) x)) x)
(/.f64 (*.f64 x x) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))))
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
Calls

2 calls:

7.0ms
x
6.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-21.4MiB live, 16.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
Calls

2 calls:

4.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
3.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
Outputs
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
97.2%3x
97.2%3(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
Outputs
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
60.2%1x
60.2%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.301416435895891e-7
56.088969070807444
0.0ms
-7563528.381817679
0.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify11.0ms (0.1%)

Memory
-18.8MiB live, 20.0MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
8×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02566
14066
25266
35866
46266
56366
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -5000000 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 x (fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -5000000 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))))
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -5000000 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))

soundness1.0s (13.3%)

Memory
-8.3MiB live, 472.9MiB allocated
Rules
20 650×lower-fma.f64
20 650×lower-fma.f32
9 334×lower-fma.f64
9 334×lower-fma.f32
7 508×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024220
163220
2165220
3494220
41369220
52276220
63140220
73877220
85631220
96275220
106644220
08428202
0720
01120
13520
221920
3175920
0851618
01882
03376
110276
255172
3583172
0815572
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 124 to 60 computations (51.6% saved)

preprocess78.0ms (1%)

Memory
4.6MiB live, 79.3MiB allocated
Compiler

Compiled 174 to 76 computations (56.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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