Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 7.1s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample607.0ms (8.5%)

Memory
-3.5MiB live, 1 042.7MiB allocated
Samples
440.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-mult: 199.0ms (77.4% of total)
ival-sub: 44.0ms (17.1% of total)
exact: 7.0ms (2.7% of total)
ival-true: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess63.0ms (0.9%)

Memory
10.7MiB live, 85.6MiB allocated
Algorithm
2×egg-herbie
Rules
616×accelerator-lowering-fma.f32
616×accelerator-lowering-fma.f64
392×*-lowering-*.f32
392×*-lowering-*.f64
310×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
14527
215127
359027
4114127
5128027
6128527
7128527
079
1169
2449
31089
41959
52539
63339
74879
86109
96929
108489
118509
08508
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (* x x) (- 3 (* x 2)))
Outputs
(* (* x x) (- 3 (* x 2)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
Call 2
Inputs
(* (* x x) (- 3 (* x 2)))
(* (* (neg x) (neg x)) (- 3 (* (neg x) 2)))
(neg (* (* (neg x) (neg x)) (- 3 (* (neg x) 2))))
Outputs
(* (* x x) (- 3 (* x 2)))
(* x (* x (+ 3 (* x -2))))
(* (* (neg x) (neg x)) (- 3 (* (neg x) 2)))
(* (* x x) (+ 3 (* x 2)))
(neg (* (* (neg x) (neg x)) (- 3 (* (neg x) 2))))
(* (* x x) (+ (* x -2) -3))

explain84.0ms (1.2%)

Memory
-15.6MiB live, 187.3MiB 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
32.0ms512×0valid
Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 12.0ms (75.3% of total)
ival-sub: 3.0ms (18.8% 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
1.3MiB live, 1.3MiB 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)

simplify34.0ms (0.5%)

Memory
7.3MiB live, 46.4MiB 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×accelerator-lowering-fma.f32
616×accelerator-lowering-fma.f64
392×*-lowering-*.f32
392×*-lowering-*.f64
154×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11623
24423
310823
419523
525323
633323
748723
861023
969223
1084823
1185023
085021
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* x x) (- 3 (* x 2)))
(* x x)
x
(- 3 (* x 2))
3
(* x 2)
2
Outputs
(* (* x x) (- 3 (* x 2)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x x)
(*.f64 x x)
x
(- 3 (* x 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize38.0ms (0.5%)

Memory
-5.0MiB live, 34.1MiB 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
31.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 23.0ms (93.1% of total)
ival-sub: 1.0ms (4% 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
8.0MiB live, 8.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- 3 (* x 2))>
#<alt (* (* x x) (- 3 (* x 2)))>
#<alt (* x x)>
#<alt (* x 2)>
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
@0
(- 3 (* x 2))

rewrite577.0ms (8.1%)

Memory
3.7MiB live, 481.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 334×accelerator-lowering-fma.f32
9 334×accelerator-lowering-fma.f64
4 144×*-lowering-*.f32
4 144×*-lowering-*.f64
3 844×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
13120
221520
3175120
0851618
Stop Event
1×iter limit
1×node limit
Counts
4 → 287
Calls
Call 1
Inputs
(- 3 (* x 2))
(* (* x x) (- 3 (* x 2)))
(* x x)
(* x 2)
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 #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 x) (*.f64 (*.f64 x 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 x) (*.f64 (*.f64 x 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 x) (*.f64 (*.f64 x 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 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (-.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 -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 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 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 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 (*.f64 x 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 x (*.f64 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 (*.f64 x 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 x (*.f64 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 x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.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 (*.f64 x 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 (*.f64 x 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) (neg.f64 (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 (*.f64 (*.f64 x x) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (*.f64 x x)) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (/.f64 (*.f64 x (*.f64 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 (*.f64 x 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 x (*.f64 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 x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.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 (*.f64 x 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 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (neg.f64 (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 (*.f64 (*.f64 x x) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 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 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 x x))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 x (*.f64 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 (*.f64 x 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 x (*.f64 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 x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.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 (*.f64 x 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 (*.f64 x x) #s(literal -2 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 (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) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 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 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x 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 (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))) (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 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (-.f64 #s(literal 81 binary64) (*.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)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))))
(*.f64 (/.f64 (*.f64 x (*.f64 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 x (*.f64 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)))

simplify559.0ms (7.8%)

Memory
-0.5MiB live, 678.3MiB allocated
Algorithm
1×egg-herbie
Rules
20 650×accelerator-lowering-fma.f32
20 650×accelerator-lowering-fma.f64
3 112×*-lowering-*.f32
3 112×*-lowering-*.f64
2 720×+-lowering-+.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))

eval61.0ms (0.9%)

Memory
-14.3MiB live, 63.5MiB allocated
Compiler

Compiled 10 086 to 953 computations (90.6% saved)

prune41.0ms (0.6%)

Memory
28.4MiB live, 104.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New32510335
Fresh000
Picked101
Done000
Total32610336
Accuracy
100.0%
Counts
336 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
▶99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
99.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
▶99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
▶99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
68.8%
(*.f64 (/.f64 (*.f64 x (*.f64 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)))
99.9%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
▶75.8%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
64.2%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
▶64.2%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 218 to 136 computations (37.6% saved)

simplify23.0ms (0.3%)

Memory
-53.3MiB live, 12.2MiB 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 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
✓cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
✓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))
✓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
(*.f64 (*.f64 x x) #s(literal -2 binary64))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
✓cost-diff0
(*.f64 #s(literal 3 binary64) x)
✓cost-diff640
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
Rules
84×*-lowering-*.f32
84×*-lowering-*.f64
78×/-lowering-/.f32
78×/-lowering-/.f64
36×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020121
149105
265105
396105
4116105
5130105
6153105
7162105
8167105
9169105
016998
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* 3 x) x) (* x (* (* x x) -2)))
(* 3 x)
3
x
(* x (* (* x x) -2))
(* (* x x) -2)
(* x x)
-2
(* x (* x 3))
x
(* x 3)
3
(* (* x x) (* -2 x))
(* x x)
x
(* -2 x)
-2
(* (+ (* x -2) 3) (* x x))
(+ (* x -2) 3)
x
-2
3
(* x x)
(/ x (/ 1 (* x (+ (* x -2) 3))))
x
(/ 1 (* x (+ (* x -2) 3)))
1
(* x (+ (* x -2) 3))
(+ (* x -2) 3)
-2
3
Outputs
(+ (* (* 3 x) x) (* x (* (* x x) -2)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
x
(* x (* (* x x) -2))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* (* x x) -2)
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* x x)
(*.f64 x x)
-2
#s(literal -2 binary64)
(* x (* x 3))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
x
(* x 3)
(*.f64 #s(literal 3 binary64) x)
3
#s(literal 3 binary64)
(* (* x x) (* -2 x))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* x x)
(*.f64 x x)
x
(* -2 x)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* (+ (* x -2) 3) (* x x))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(+ (* x -2) 3)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(* x x)
(*.f64 x x)
(/ x (/ 1 (* x (+ (* x -2) 3))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(/ 1 (* x (+ (* x -2) 3)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(* x (+ (* x -2) 3))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(+ (* x -2) 3)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)

localize78.0ms (1.1%)

Memory
7.2MiB live, 160.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓accuracy99.9%
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
✓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))
✓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%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
✓accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
Samples
38.0ms235×0valid
9.0ms21×2valid
Compiler

Compiled 110 to 22 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 20.0ms (64.4% of total)
ival-div: 7.0ms (22.5% of total)
ival-add: 3.0ms (9.7% of total)
adjust: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (+ (* (* 3 x) x) (* x (* (* x x) -2)))>
#<alt (* 3 x)>
#<alt (* x (* (* x x) -2))>
#<alt (* (* x x) -2)>
#<alt (* x (* x 3))>
#<alt (* x 3)>
#<alt (* (* x x) (* -2 x))>
#<alt (* x x)>
#<alt (* -2 x)>
#<alt (* (+ (* x -2) 3) (* x x))>
#<alt (+ (* x -2) 3)>
#<alt (/ x (/ 1 (* x (+ (* x -2) 3))))>
#<alt (/ 1 (* x (+ (* x -2) 3)))>
#<alt (* x (+ (* x -2) 3))>
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 (* 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 (* -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 (* 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 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 (/ 1/3 x)>
#<alt (/ (+ 1/3 (* 2/9 x)) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))>
#<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))>
Calls

42 calls:

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

rewrite466.0ms (6.5%)

Memory
0.3MiB live, 710.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 516×accelerator-lowering-fma.f32
8 516×accelerator-lowering-fma.f64
5 112×*-lowering-*.f32
5 112×*-lowering-*.f64
2 516×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02096
19280
257980
3605480
0807974
Stop Event
1×iter limit
1×node limit
Counts
14 → 1 052
Calls
Call 1
Inputs
(+ (* (* 3 x) x) (* x (* (* x x) -2)))
(* 3 x)
(* x (* (* x x) -2))
(* (* x x) -2)
(* x (* x 3))
(* x 3)
(* (* x x) (* -2 x))
(* x x)
(* -2 x)
(* (+ (* x -2) 3) (* x x))
(+ (* x -2) 3)
(/ x (/ 1 (* x (+ (* x -2) 3))))
(/ 1 (* x (+ (* x -2) 3)))
(* x (+ (* x -2) 3))
Outputs
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(+.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 9 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 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 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 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)))) (fma.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))))
(*.f64 (/.f64 (*.f64 x (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)) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 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 x (fma.f64 x (*.f64 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 (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))

simplify460.0ms (6.4%)

Memory
36.0MiB live, 504.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 424×accelerator-lowering-fma.f32
8 424×accelerator-lowering-fma.f64
2 482×*-lowering-*.f32
2 482×*-lowering-*.f64
1 764×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076934
1195934
2480928
31165928
42493924
55064924
08124873
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)
(* 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))
(* -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))
(* 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)))))
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)))))
(/ 1/3 x)
(/ (+ 1/3 (* 2/9 x)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(* 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))
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 (*.f64 x 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 (*.f64 x 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)
(* 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 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x 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))
(* 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 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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
#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))
(* (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 (*.f64 x 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 (*.f64 x 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 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (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)) x)
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))
(/.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)) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))
(/.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)) (*.f64 x x))
(* 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 (*.f64 x 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 (*.f64 x 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)))

eval188.0ms (2.6%)

Memory
36.2MiB live, 321.0MiB allocated
Compiler

Compiled 34 428 to 2 012 computations (94.2% saved)

prune236.0ms (3.3%)

Memory
-148.3MiB live, 277.5MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 37051 375
Fresh325
Picked145
Done000
Total1 374111 385
Accuracy
100.0%
Counts
1 385 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.5%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
✓99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
75.8%
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
▶64.2%
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
▶75.8%
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
75.8%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) x))
▶99.9%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓75.8%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
▶64.2%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓64.2%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 160 to 103 computations (35.6% saved)

simplify8.0ms (0.1%)

Memory
-24.8MiB live, 14.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓cost-diff384
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff640
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
✓cost-diff384
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x 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
70×*-lowering-*.f32
70×*-lowering-*.f64
36×accelerator-lowering-fma.f32
36×accelerator-lowering-fma.f64
26×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01786
14386
27082
37682
07678
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* x (+ (* x -2) 3)) x)
(* x (+ (* x -2) 3))
x
(+ (* x -2) 3)
-2
3
(* (* x x) 3)
(* x x)
x
3
(/ x (/ 1/3 x))
x
(/ 1/3 x)
1/3
(+ (* (* x x) 3) (* (* x x) (* x -2)))
(* x x)
x
3
(* (* x x) (* x -2))
(* x -2)
-2
(/ x (/ -1/2 (* x x)))
x
(/ -1/2 (* x x))
-1/2
(* x x)
Outputs
(* (* x (+ (* x -2) 3)) x)
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* x (+ (* x -2) 3))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(+ (* x -2) 3)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(* (* x x) 3)
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
3
#s(literal 3 binary64)
(/ x (/ 1/3 x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
x
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(+ (* (* x x) 3) (* (* x x) (* x -2)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* x x)
(*.f64 x x)
x
3
#s(literal 3 binary64)
(* (* x x) (* x -2))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ x (/ -1/2 (* x x)))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64))
x
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)

localize62.0ms (0.9%)

Memory
4.6MiB live, 122.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓accuracy99.4%
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓accuracy88.6%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
✓accuracy99.4%
(/.f64 #s(literal 1/3 binary64) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓accuracy99.9%
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
Samples
31.0ms235×0valid
6.0ms13×2valid
2.0ms7×1valid
0.0ms1×4valid
Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (45% of total)
ival-div: 7.0ms (26.2% of total)
const: 3.0ms (11.2% of total)
ival-add: 3.0ms (11.2% of total)
adjust: 1.0ms (3.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (* (* x (+ (* x -2) 3)) x)>
#<alt (* x (+ (* x -2) 3))>
#<alt (+ (* x -2) 3)>
#<alt (* (* x x) 3)>
#<alt (* x x)>
#<alt (/ x (/ 1/3 x))>
#<alt (/ 1/3 x)>
#<alt (+ (* (* x x) 3) (* (* x x) (* x -2)))>
#<alt (* (* x x) (* x -2))>
#<alt (* x -2)>
#<alt (/ x (/ -1/2 (* x x)))>
#<alt (/ -1/2 (* x x))>
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 (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 (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (/ 1/3 x)>
#<alt (* 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 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 (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 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
Calls

36 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ -1/2 (* x x))
0.0ms
x
@0
(/ 1/3 x)
0.0ms
x
@inf
(/ 1/3 x)
0.0ms
x
@-inf
(/ 1/3 x)
0.0ms
x
@inf
(/ -1/2 (* x x))

rewrite434.0ms (6.1%)

Memory
-0.3MiB live, 661.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 110×accelerator-lowering-fma.f32
9 110×accelerator-lowering-fma.f64
5 182×*-lowering-*.f32
5 182×*-lowering-*.f64
3 724×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01768
19964
265964
0855160
Stop Event
1×iter limit
1×node limit
Counts
12 → 971
Calls
Call 1
Inputs
(* (* x (+ (* x -2) 3)) x)
(* x (+ (* x -2) 3))
(+ (* x -2) 3)
(* (* x x) 3)
(* x x)
(/ x (/ 1/3 x))
(/ 1/3 x)
(+ (* (* x x) 3) (* (* x x) (* x -2)))
(* (* x x) (* x -2))
(* x -2)
(/ x (/ -1/2 (* x x)))
(/ -1/2 (* x x))
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))))
(-.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 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 (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.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 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)
(pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))

simplify298.0ms (4.2%)

Memory
8.9MiB live, 283.8MiB allocated
Algorithm
1×egg-herbie
Rules
4 172×*-lowering-*.f32
4 172×*-lowering-*.f64
2 398×accelerator-lowering-fma.f32
2 398×accelerator-lowering-fma.f64
2 086×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031728
178728
2180728
3505728
41170728
52016728
63445728
74863728
86047728
97046728
08071692
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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))
(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))
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* 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 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -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))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
Outputs
(* 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 (*.f64 x 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 (*.f64 x 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)))
(* 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 (*.f64 x 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 (*.f64 x 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))
(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))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* 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 (*.f64 x 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 (*.f64 x 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 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x 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))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))

eval138.0ms (1.9%)

Memory
-22.7MiB live, 324.7MiB allocated
Compiler

Compiled 24 174 to 1 832 computations (92.4% saved)

prune140.0ms (2%)

Memory
24.5MiB live, 224.0MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New1 19241 196
Fresh202
Picked145
Done044
Total1 195121 207
Accuracy
100.0%
Counts
1 207 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
▶75.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
▶64.2%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓64.2%
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
✓75.8%
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
▶99.9%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
✓99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
▶75.8%
(*.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
✓99.9%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓75.8%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
✓64.2%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓64.2%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 99 to 64 computations (35.4% saved)

simplify62.0ms (0.9%)

Memory
-15.0MiB live, 63.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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 x x)
✓cost-diff384
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
✓cost-diff320
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff128
(*.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
✓cost-diff768
(/.f64 x (/.f64 #s(literal 1/2 binary64) x))
Rules
632×accelerator-lowering-fma.f32
632×accelerator-lowering-fma.f64
408×*-lowering-*.f32
408×*-lowering-*.f64
190×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
14171
29069
315765
421265
526565
638165
755465
868265
976465
10109665
11122365
12127665
13129165
14129265
15129265
16129665
0129663
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ x (/ 1/2 x)) (neg x))
(/ x (/ 1/2 x))
x
(/ 1/2 x)
1/2
(neg x)
(* (+ (* (* x x) -2) (* x 3)) x)
(+ (* (* x x) -2) (* x 3))
(* x x)
x
-2
(* x 3)
3
(/ (* x x) 1/3)
(* x x)
x
1/3
(/ (* x x) (/ -1/2 x))
(* x x)
x
(/ -1/2 x)
-1/2
Outputs
(* (/ x (/ 1/2 x)) (neg x))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(/ x (/ 1/2 x))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
x
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(neg x)
(neg.f64 x)
(* (+ (* (* x x) -2) (* x 3)) x)
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(+ (* (* x x) -2) (* x 3))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x x)
(*.f64 x x)
x
-2
#s(literal -2 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (* x x) 1/3)
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* x x)
(*.f64 x x)
x
1/3
#s(literal 1/3 binary64)
(/ (* x x) (/ -1/2 x))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* x x)
(*.f64 x x)
x
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)

localize91.0ms (1.3%)

Memory
29.1MiB live, 103.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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 x x)
✓accuracy99.7%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.9%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(neg.f64 x)
✓accuracy99.9%
(*.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 1/2 binary64) x))
Samples
52.0ms235×0valid
4.0ms14×2valid
1.0ms7×1valid
Compiler

Compiled 74 to 20 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-add: 23.0ms (50.8% of total)
ival-div: 9.0ms (19.9% of total)
ival-mult: 8.0ms (17.7% of total)
const: 3.0ms (6.6% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-23.0MiB live, 12.2MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (/ x (/ 1/2 x))>
#<alt (* (/ x (/ 1/2 x)) (neg x))>
#<alt (/ 1/2 x)>
#<alt (neg x)>
#<alt (+ (* (* x x) -2) (* x 3))>
#<alt (* (+ (* (* x x) -2) (* x 3)) x)>
#<alt (* x x)>
#<alt (* x 3)>
#<alt (/ (* x x) 1/3)>
#<alt (/ (* x x) (/ -1/2 x))>
#<alt (/ -1/2 x)>
Outputs
#<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 (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 (* -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 (* 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 (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 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 (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 (/ -1/2 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)>
Calls

33 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (+ (* (* x x) -2) (* x 3)) x)
0.0ms
x
@0
(/ 1/2 x)
0.0ms
x
@inf
(/ x (/ 1/2 x))
0.0ms
x
@inf
(/ 1/2 x)
0.0ms
x
@0
(/ x (/ 1/2 x))

rewrite251.0ms (3.5%)

Memory
4.4MiB live, 519.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 848×accelerator-lowering-fma.f32
3 848×accelerator-lowering-fma.f64
2 694×*-lowering-*.f32
2 694×*-lowering-*.f64
1 526×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01860
18654
252150
3560649
0891247
Stop Event
1×iter limit
1×node limit
Counts
11 → 681
Calls
Call 1
Inputs
(/ x (/ 1/2 x))
(* (/ x (/ 1/2 x)) (neg x))
(/ 1/2 x)
(neg x)
(+ (* (* x x) -2) (* x 3))
(* (+ (* (* x x) -2) (* x 3)) x)
(* x x)
(* x 3)
(/ (* x x) 1/3)
(/ (* x x) (/ -1/2 x))
(/ -1/2 x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 x (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) x)
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
(*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64) (log.f64 (*.f64 x x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 x x)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) 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)))

simplify325.0ms (4.5%)

Memory
-15.4MiB live, 323.3MiB allocated
Algorithm
1×egg-herbie
Rules
3 916×*-lowering-*.f32
3 916×*-lowering-*.f64
2 140×accelerator-lowering-fma.f32
2 140×accelerator-lowering-fma.f64
1 954×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030580
174580
2158580
3412580
41028580
52155580
63009580
74073580
85133580
95988580
107036580
08009562
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* 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 (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)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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 (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)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (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))
(/ -1/2 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)
Outputs
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(/ 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)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 3 x)
(*.f64 x #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)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x 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 (*.f64 x 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 x (*.f64 x #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))))
(* (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 (*.f64 x 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 (*.f64 x 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))))
(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 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(/ -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)

eval104.0ms (1.4%)

Memory
24.4MiB live, 251.1MiB allocated
Compiler

Compiled 13 682 to 1 665 computations (87.8% saved)

prune229.0ms (3.2%)

Memory
7.4MiB live, 206.4MiB allocated
Pruning

15 alts after pruning (3 fresh and 12 done)

PrunedKeptTotal
New9243927
Fresh000
Picked044
Done088
Total92415939
Accuracy
100.0%
Counts
939 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
✓75.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
✓64.2%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓64.2%
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
✓75.8%
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓99.9%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
✓99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
✓75.8%
(*.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
✓99.9%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
25.9%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))
✓75.8%
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
✓64.2%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
37.6%
(*.f64 (*.f64 x x) #s(literal -3 binary64))
✓64.2%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
37.6%
(neg.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 319 to 141 computations (55.8% saved)

regimes23.0ms (0.3%)

Memory
-42.7MiB live, 24.9MiB 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) #s(literal 3 binary64))
(neg.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))
(*.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 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 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 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) 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 (*.f64 x (*.f64 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)))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
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
15.3MiB live, 15.3MiB allocated
Counts
12 → 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) #s(literal 3 binary64))
(neg.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))
(*.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 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
Outputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
Calls

2 calls:

4.0ms
x
4.0ms
(*.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
-21.3MiB live, 17.5MiB allocated
Counts
10 → 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) #s(literal 3 binary64))
(neg.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))
(*.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
x
3.0ms
(*.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)

regimes5.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
6 → 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) #s(literal 3 binary64))
(neg.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 2 binary64))
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
97.5%3x
97.5%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)

regimes4.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(neg.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))
Outputs
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
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
76.6%2x
76.6%2(*.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
8.2MiB live, 8.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 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
64.2%1x
64.2%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
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
11.447462376986723
25115.047749667086
0.0ms
-149274.2536481765
0.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-149274.2536481765
0.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify11.0ms (0.2%)

Memory
-1.9MiB live, 36.7MiB allocated
Algorithm
1×egg-herbie
Rules
30×*-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
03094
15094
26294
36894
47294
57394
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 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 -100000 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 20 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 -100000 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)))
(*.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 -100000 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 20 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 -100000 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 20 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.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 -100000 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -100000 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 3 binary64) x))

soundness1.3s (18.6%)

Memory
-6.1MiB live, 626.0MiB allocated
Rules
20 650×accelerator-lowering-fma.f32
20 650×accelerator-lowering-fma.f64
9 334×accelerator-lowering-fma.f32
9 334×accelerator-lowering-fma.f64
9 110×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01860
18654
252150
3560649
0891247
024220
163220
2165220
3494220
41369220
52276220
63140220
73877220
85631220
96275220
106644220
08428202
01768
19964
265964
0855160
0720
13120
221520
3175120
0851618
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 167 to 73 computations (56.3% saved)

preprocess75.0ms (1.1%)

Memory
-11.2MiB live, 105.7MiB allocated
Compiler

Compiled 242 to 86 computations (64.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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