Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 8.3s)

analyze0.0ms (0%)

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 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample969.0ms (11.7%)

Results
727.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 342.0ms
ival-mult: 228.0ms (66.7% of total)
ival-sub: 95.0ms (27.8% of total)
const: 15.0ms (4.4% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess130.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
1404×sum4-define
1400×sum5-define
1310×fnmadd-define
1242×fma-define
1122×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01325
14724
215322
363121
4171921
5502721
6548421
7552421
8552421
078
1178
2457
31207
42497
53547
65407
78307
824747
928927
1033557
1139517
1239757
039757
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 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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)))
(* (fnmsub x 2 -3) (square x))
(* (* (neg x) (neg x)) (- 3 (* (neg x) 2)))
(* (square x) (fnmsub x -2 -3))
(neg (* (* (neg x) (neg x)) (- 3 (* (neg x) 2))))
(* (square x) (fnmsub x 2 3))

explain190.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
00-0-#s(literal 3 binary64)
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)
Results
157.0ms512×0valid
Compiler

Compiled 60 to 23 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 13.0ms (77.6% of total)
ival-sub: 3.0ms (17.9% of total)
const: 1.0ms (6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

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))))
▶99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify78.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(-.f64 #s(literal 3 binary64) (*.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-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
Rules
1126×fma-define
1016×sum3-define
1012×fnmadd-define
832×sum5-define
738×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01247
13342
27842
314442
427342
538342
656942
785942
8250342
9292242
10339542
11399142
12401542
0401542
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x (* x (+ 3 (* x -2))))
x
(* x (+ 3 (* x -2)))
(+ 3 (* x -2))
3
(* x -2)
-2
(* (* 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) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
x
(* x (+ 3 (* x -2)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(+ 3 (* x -2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
3
#s(literal 3 binary64)
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* (* x x) (- 3 (* x 2)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* x x)
(*.f64 x x)
x
(- 3 (* x 2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
3
#s(literal 3 binary64)
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize73.0ms (0.9%)

Localize:

Found 8 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))))
✓accuracy100.0%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
Results
41.0ms240×0valid
8.0ms10×1valid
3.0ms6×2valid
Compiler

Compiled 52 to 13 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 18.0ms (81.2% of total)
ival-add: 2.0ms (9% of total)
ival-sub: 2.0ms (9% of total)
const: 1.0ms (4.5% of total)
backward-pass: 1.0ms (4.5% of total)

series5.0ms (0.1%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (* x (* x (+ 3 (* x -2))))>
#<alt (* x (+ 3 (* x -2)))>
#<alt (+ 3 (* x -2))>
#<alt (* x -2)>
#<alt (* (* x x) (- 3 (* x 2)))>
#<alt (* x x)>
#<alt (- 3 (* x 2))>
#<alt (* x 2)>
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 (* -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 (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>
#<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 (* 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

24 calls:

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

rewrite314.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
3310×*-lowering-*.f32
3310×*-lowering-*.f64
1682×fma-lowering-fma.f32
1682×fma-lowering-fma.f64
1624×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01241
15836
244936
3372936
0915436
Stop Event
1×iter limit
1×node limit
Counts
8 → 389
Calls
Call 1
Inputs
(* x (* x (+ 3 (* x -2))))
(* x (+ 3 (* x -2)))
(+ 3 (* x -2))
(* x -2)
(* (* x x) (- 3 (* x 2)))
(* x x)
(- 3 (* x 2))
(* x 2)
Outputs
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.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)))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x)))) x) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) x) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.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)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))) #s(literal -1 binary64))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
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(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.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 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (-.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal 9 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.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 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.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 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 19683 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal 729 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 19683 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal 729 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 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)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))

simplify288.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1354×fmsub-define
1336×fnmsub-define
1274×*-lowering-*.f32
1274×*-lowering-*.f64
1262×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028480
179401
2190401
3536401
41485401
52778401
66003401
08279401
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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)))))
(* -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)))))
(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
(+ 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)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 3 (* -2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 3 (* -2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 3 (* -2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 3 (* -2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval55.0ms (0.7%)

Compiler

Compiled 10703 to 966 computations (91% saved)

prune52.0ms (0.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New47015485
Fresh000
Picked022
Done000
Total47017487
Accuracy
100.0%
Counts
487 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
60.7%
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) x) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
▶46.9%
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
46.9%
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
89.2%
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
95.4%
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
73.9%
(*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
75.9%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
63.0%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
▶46.9%
(*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
69.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))))))
27.7%
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64))))))))
▶74.0%
(*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
▶99.7%
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
✓99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
▶63.0%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 596 to 380 computations (36.2% saved)

simplify181.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
✓cost-diff0
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
✓cost-diff0
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
✓cost-diff0
(*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
✓cost-diff0
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
✓cost-diff128
(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓cost-diff128
(*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 3 binary64)))
✓cost-diff0
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
✓cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)
✓cost-diff128
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))
✓cost-diff128
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
Rules
2492×*-lowering-*.f32
2492×*-lowering-*.f64
2054×fnmsub-define
1312×fmsub-define
1310×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
038263
196244
2265242
3687242
41408238
52276235
63146235
75455235
87563235
08643235
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x)))
x
(* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x))
(+ 9 (* (* x x) -4))
9
(* (* x x) -4)
(* x x)
-4
(* (/ -1 (+ (* x -2) -3)) x)
(/ -1 (+ (* x -2) -3))
-1
(+ (* x -2) -3)
(* x -2)
-2
-3
(* x (* x 3))
x
(* x 3)
3
(* x (/ x (/ -1 (+ (* x -2) -3))))
x
(/ x (/ -1 (+ (* x -2) -3)))
(/ -1 (+ (* x -2) -3))
-1
(+ (* x -2) -3)
(* x -2)
-2
-3
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))
(* x (* x (+ 9 (* (* x x) -4))))
x
(* x (+ 9 (* (* x x) -4)))
(+ 9 (* (* x x) -4))
9
(* (* x x) -4)
(* x x)
-4
(+ 3 (* x -2))
3
(* x -2)
-2
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))
x
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))
(+ 27 (* (* x (* x x)) -8))
27
(* (* x (* x x)) -8)
(* x (* x x))
(* x x)
-8
(/ x (+ 9 (* x (+ (* x 4) 6))))
(+ 9 (* x (+ (* x 4) 6)))
9
(* x (+ (* x 4) 6))
(+ (* x 4) 6)
(* x 4)
4
6
Outputs
(* x (* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x)))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
x
(* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x))
(/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(+ 9 (* (* x x) -4))
(+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))
9
#s(literal 9 binary64)
(* (* x x) -4)
(*.f64 x (*.f64 x #s(literal -4 binary64)))
(* x x)
(*.f64 x x)
-4
#s(literal -4 binary64)
(* (/ -1 (+ (* x -2) -3)) x)
(/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(/ -1 (+ (* x -2) -3))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
-1
#s(literal -1 binary64)
(+ (* x -2) -3)
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-3
#s(literal -3 binary64)
(* x (* x 3))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
x
(* x 3)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x (/ x (/ -1 (+ (* x -2) -3))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
x
(/ x (/ -1 (+ (* x -2) -3)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(/ -1 (+ (* x -2) -3))
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
-1
#s(literal -1 binary64)
(+ (* x -2) -3)
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-3
#s(literal -3 binary64)
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(* x (* x (+ 9 (* (* x x) -4))))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))))
x
(* x (+ 9 (* (* x x) -4)))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))
(+ 9 (* (* x x) -4))
(+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))
9
#s(literal 9 binary64)
(* (* x x) -4)
(*.f64 x (*.f64 x #s(literal -4 binary64)))
(* x x)
(*.f64 x x)
-4
#s(literal -4 binary64)
(+ 3 (* x -2))
(+.f64 (*.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)
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))))
x
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))
(/.f64 (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))))
(+ 27 (* (* x (* x x)) -8))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
27
#s(literal 27 binary64)
(* (* x (* x x)) -8)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
-8
#s(literal -8 binary64)
(/ x (+ 9 (* x (+ (* x 4) 6))))
(/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))))
(+ 9 (* x (+ (* x 4) 6)))
(+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))))
9
#s(literal 9 binary64)
(* x (+ (* x 4) 6))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))
(+ (* x 4) 6)
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))
(* x 4)
(*.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
6
#s(literal 6 binary64)

localize291.0ms (3.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
✓accuracy93.9%
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
✓accuracy75.8%
(/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -4 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
✓accuracy95.5%
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.8%
(*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
✓accuracy99.6%
(/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -4 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
✓accuracy99.8%
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)
Results
154.0ms212×0valid
31.0ms23×1valid
31.0ms17×2valid
10.0ms4×3valid
Compiler

Compiled 306 to 39 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 46.0ms (62% of total)
ival-div: 9.0ms (12.1% of total)
ival-add: 9.0ms (12.1% of total)
backward-pass: 8.0ms (10.8% of total)
const: 2.0ms (2.7% of total)

series21.0ms (0.3%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (* x (* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x)))>
#<alt (* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x))>
#<alt (* (/ -1 (+ (* x -2) -3)) x)>
#<alt (+ 9 (* (* x x) -4))>
#<alt (* x (* x 3))>
#<alt (* x 3)>
#<alt (* x (/ x (/ -1 (+ (* x -2) -3))))>
#<alt (/ x (/ -1 (+ (* x -2) -3)))>
#<alt (/ -1 (+ (* x -2) -3))>
#<alt (+ (* x -2) -3)>
#<alt (/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))>
#<alt (* x (* x (+ 9 (* (* x x) -4))))>
#<alt (* x (+ 9 (* (* x x) -4)))>
#<alt (* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))>
#<alt (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))>
#<alt (+ 27 (* (* x (* x x)) -8))>
#<alt (* (* x (* x x)) -8)>
#<alt (* (* x x) -4)>
#<alt (* x -2)>
#<alt (/ x (+ 9 (* x (+ (* x 4) 6))))>
#<alt (* x (* 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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* -2/9 x)))>
#<alt (* x (+ 1/3 (* x (- (* 4/27 x) 2/9))))>
#<alt (* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))>
#<alt 1/2>
#<alt (- 1/2 (* 3/4 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (- 1/2 (* 3/4 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x)))>
#<alt (+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x)))>
#<alt 9>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<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 (* 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) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (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) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))>
#<alt 1/3>
#<alt (+ 1/3 (* -2/9 x))>
#<alt (+ 1/3 (* x (- (* 4/27 x) 2/9)))>
#<alt (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 3/4 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))>
#<alt -3>
#<alt (- (* -2 x) 3)>
#<alt (- (* -2 x) 3)>
#<alt (- (* -2 x) 3)>
#<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 (* -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) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* -4 (pow x 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* -4 (pow x 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* 9 x)>
#<alt (* x (+ 9 (* -4 (pow x 2))))>
#<alt (* x (+ 9 (* -4 (pow x 2))))>
#<alt (* x (+ 9 (* -4 (pow x 2))))>
#<alt (* -4 (pow x 3))>
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* -4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 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 27>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (+ 27 (* -8 (pow x 3)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (pow x 2))>
#<alt (* -4 (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 (* 1/9 x)>
#<alt (* x (+ 1/9 (* -2/27 x)))>
#<alt (* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))>
#<alt (* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))>
#<alt (/ 1/4 x)>
#<alt (/ (- 1/4 (* 3/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)>
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)>
#<alt (/ 1/4 x)>
#<alt (* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ x (/ -1 (+ (* x -2) -3)))
2.0ms
x
@inf
(/ x (+ 9 (* x (+ (* x 4) 6))))
1.0ms
x
@0
(* x (/ x (/ -1 (+ (* x -2) -3))))
1.0ms
x
@0
(* x (* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x)))
1.0ms
x
@inf
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))

rewrite396.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
4128×/-lowering-/.f32
4128×/-lowering-/.f64
3370×*-lowering-*.f32
3370×*-lowering-*.f64
1802×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038182
1200163
21680137
08380137
Stop Event
1×iter limit
1×node limit
Counts
21 → 681
Calls
Call 1
Inputs
(* x (* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x)))
(* (+ 9 (* (* x x) -4)) (* (/ -1 (+ (* x -2) -3)) x))
(* (/ -1 (+ (* x -2) -3)) x)
(+ 9 (* (* x x) -4))
(* x (* x 3))
(* x 3)
(* x (/ x (/ -1 (+ (* x -2) -3))))
(/ x (/ -1 (+ (* x -2) -3)))
(/ -1 (+ (* x -2) -3))
(+ (* x -2) -3)
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))
(* x (* x (+ 9 (* (* x x) -4))))
(* x (+ 9 (* (* x x) -4)))
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))
(+ 27 (* (* x (* x x)) -8))
(* (* x (* x x)) -8)
(* (* x x) -4)
(* x -2)
(/ x (+ 9 (* x (+ (* x 4) 6))))
(* x (* x x))
Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))))
(*.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (/.f64 x (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (*.f64 (/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) x))
(*.f64 (/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) x)) x)
(*.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 x x))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) x)) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))))) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))))))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) #s(literal 9 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 x (*.f64 x #s(literal -4 binary64)))))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (*.f64 (/.f64 x (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) #s(literal 9 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))))
(*.f64 (+.f64 #s(literal 19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))))))
(*.f64 (+.f64 #s(literal 19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (-.f64 #s(literal 729 binary64) (*.f64 #s(literal -216 binary64) (*.f64 x (*.f64 x x)))))))
(*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 19683 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))))))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -8 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal -8 binary64))) x)
(*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -8 binary64) x) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -4 binary64)))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -4 binary64)) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(neg.f64 (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) x)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal -9 binary64)))))
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(*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify318.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
3166×*-lowering-*.f32
3166×*-lowering-*.f64
1550×+-lowering-+.f64
1550×+-lowering-+.f32
1310×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01941633
16291403
215941393
340831393
084581393
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
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))
(* 1/3 x)
(* x (+ 1/3 (* -2/9 x)))
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
1/2
(- 1/2 (* 3/4 (/ 1 x)))
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x)))
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))))
1/2
(- 1/2 (* 3/4 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x)))
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x)))
9
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* 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)
(* 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) (+ 2 (* 3 (/ 1 x))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* (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) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
1/3
(+ 1/3 (* -2/9 x))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(/ 1/2 x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))
-3
(- (* -2 x) 3)
(- (* -2 x) 3)
(- (* -2 x) 3)
(* -2 x)
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(* -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) (+ 2 (* 3 (/ 1 x))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* 9 x)
(* x (+ 9 (* -4 (pow x 2))))
(* x (+ 9 (* -4 (pow x 2))))
(* x (+ 9 (* -4 (pow x 2))))
(* -4 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 3))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 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))
27
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(+ 27 (* -8 (pow x 3)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (pow x 2))
(* -4 (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)
(* 1/9 x)
(* x (+ 1/9 (* -2/27 x)))
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(/ 1/4 x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(/ 1/4 x)
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -2/9 x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -2/9 binary64))))
(* x (+ 1/3 (* x (- (* 4/27 x) 2/9))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 x #s(literal 4/27 binary64))))))
(* x (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 x (+.f64 #s(literal 4/27 binary64) (*.f64 x #s(literal -8/81 binary64))))))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 3/4 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x))
(- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x))
(- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 3/4 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x))
(+ 1/2 (* -1 (/ (- 3/4 (* 9/8 (/ 1 x))) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x))
(+ 1/2 (* -1 (/ (+ 3/4 (* -1 (/ (- 9/8 (* 27/16 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x))
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(+ 9 (* -4 (pow x 2)))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(+ 9 (* -4 (pow x 2)))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 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)
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 2 (pow x 3))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 2 (pow x 3))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* x (+ 3 (* 2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* x (+ 3 (* 2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -2/9 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -2/9 binary64)))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 x #s(literal 4/27 binary64)))))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 x (+.f64 #s(literal 4/27 binary64) (*.f64 x #s(literal -8/81 binary64)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal -1/2 binary64)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(/.f64 (-.f64 (/.f64 #s(literal -3/4 binary64) x) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) x)
-3
#s(literal -3 binary64)
(- (* -2 x) 3)
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(- (* -2 x) 3)
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(- (* -2 x) 3)
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))
(* -1 (* x (+ 2 (* 3 (/ 1 x)))))
(+.f64 (*.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 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 2 (pow x 3))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 2 (pow x 3))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* -4 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* -4 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (+ 9 (* -4 (pow x 2))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* x (+ 9 (* -4 (pow x 2))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* x (+ 9 (* -4 (pow x 2))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* -4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* -4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -4 binary64))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 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) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* x (+ 3 (* -2 x)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
27
#s(literal 27 binary64)
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(+ 27 (* -8 (pow x 3)))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 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))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* x (+ 1/9 (* -2/27 x)))
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -2/27 binary64))))
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal -2/27 binary64) (*.f64 (*.f64 x x) #s(literal 8/243 binary64))))))
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal -2/27 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 8/243 binary64) (*.f64 x #s(literal -16/729 binary64))))))))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x)) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 27/32 binary64) (*.f64 x x)))) x)) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 27/32 binary64) (*.f64 x x)))) x)) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

eval154.0ms (1.9%)

Compiler

Compiled 29061 to 2763 computations (90.5% saved)

prune117.0ms (1.4%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1096101106
Fresh8210
Picked415
Done022
Total1108151123
Accuracy
100.0%
Counts
1123 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))))))
▶74.0%
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
61.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
▶73.9%
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))))
▶99.7%
(*.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
95.3%
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
✓99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
▶75.9%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
63.0%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
▶63.0%
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
58.2%
(*.f64 x (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))))
67.7%
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) x)))
✓99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓63.0%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 510 to 354 computations (30.6% saved)

simplify217.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))
✓cost-diff128
(/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)
✓cost-diff128
(/.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x))
✓cost-diff256
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))))
✓cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(*.f64 x #s(literal 9 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 9 binary64)))
✓cost-diff128
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(/.f64 x #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
✓cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓cost-diff128
(*.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
Rules
3794×*-lowering-*.f32
3794×*-lowering-*.f64
2164×/-lowering-/.f32
2164×/-lowering-/.f64
1580×fma-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
034168
187154
2204150
3475150
4793150
51182150
61699148
72820148
84063148
95780148
105935148
116064148
126231148
136447148
08211148
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (* x -2) 3) (/ x (/ 1 x)))
(+ (* x -2) 3)
(* x -2)
x
-2
3
(/ x (/ 1 x))
(/ 1 x)
1
(* x (/ x 1/3))
x
(/ x 1/3)
1/3
(* (* x x) (* x -2))
(* x x)
x
(* x -2)
-2
(/ (* x (* x 9)) (+ 3 (* x -2)))
(* x (* x 9))
x
(* x 9)
9
(+ 3 (* x -2))
3
(* x -2)
-2
(* (/ x (/ (+ 9 (* x (+ (* x 4) 6))) x)) (+ 27 (* x (* x (* x -8)))))
(/ x (/ (+ 9 (* x (+ (* x 4) 6))) x))
x
(/ (+ 9 (* x (+ (* x 4) 6))) x)
(+ 9 (* x (+ (* x 4) 6)))
9
(* x (+ (* x 4) 6))
(+ (* x 4) 6)
(* x 4)
4
6
(+ 27 (* x (* x (* x -8))))
27
(* x (* x (* x -8)))
(* x (* x -8))
(* x -8)
-8
Outputs
(* (+ (* x -2) 3) (/ x (/ 1 x)))
(*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(+ (* x -2) 3)
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(/ x (/ 1 x))
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* x (/ x 1/3))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
x
(/ x 1/3)
(/.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(* (* x x) (* x -2))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* x x)
(*.f64 x x)
x
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (* x (* x 9)) (+ 3 (* x -2)))
(/.f64 #s(literal 9 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)) x))
(* x (* x 9))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
x
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(+ 3 (* x -2))
(+.f64 (*.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)
(* (/ x (/ (+ 9 (* x (+ (* x 4) 6))) x)) (+ 27 (* x (* x (* x -8)))))
(/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) x)))
(/ x (/ (+ 9 (* x (+ (* x 4) 6))) x))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) x)))
x
(/ (+ 9 (* x (+ (* x 4) 6))) x)
(+.f64 (*.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)))
(+ 9 (* x (+ (* x 4) 6)))
(+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))
9
#s(literal 9 binary64)
(* x (+ (* x 4) 6))
(*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(+ (* x 4) 6)
(+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))
(* x 4)
(*.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
6
#s(literal 6 binary64)
(+ 27 (* x (* x (* x -8))))
(+.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))
27
#s(literal 27 binary64)
(* x (* x (* x -8)))
(*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))
(* x (* x -8))
(*.f64 (*.f64 x x) #s(literal -8 binary64))
(* x -8)
(*.f64 x #s(literal -8 binary64))
-8
#s(literal -8 binary64)

localize418.0ms (5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))))
✓accuracy99.9%
(/.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
✓accuracy82.4%
(/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)
✓accuracy100.0%
(*.f64 x #s(literal 9 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
✓accuracy82.3%
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
✓accuracy99.9%
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
✓accuracy99.7%
(/.f64 x #s(literal 1/3 binary64))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓accuracy99.9%
(/.f64 x (/.f64 #s(literal 1 binary64) x))
Results
266.0ms83×5exit
73.0ms154×0valid
11.0ms12×1valid
10.0ms7×2valid
Compiler

Compiled 190 to 35 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
backward-pass: 50.0ms (33.5% of total)
ival-mult: 41.0ms (27.5% of total)
...c/correct-round.rkt:119:19: 25.0ms (16.8% of total)
ival-div: 22.0ms (14.7% of total)
ival-add: 10.0ms (6.7% of total)
const: 2.0ms (1.3% of total)

series6.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (* (+ (* x -2) 3) (/ x (/ 1 x)))>
#<alt (/ x (/ 1 x))>
#<alt (+ (* x -2) 3)>
#<alt (* x -2)>
#<alt (* x (/ x 1/3))>
#<alt (/ x 1/3)>
#<alt (* (* x x) (* x -2))>
#<alt (* x x)>
#<alt (/ (* x (* x 9)) (+ 3 (* x -2)))>
#<alt (* x (* x 9))>
#<alt (* x 9)>
#<alt (+ 3 (* x -2))>
#<alt (* (/ x (/ (+ 9 (* x (+ (* x 4) 6))) x)) (+ 27 (* x (* x (* x -8)))))>
#<alt (/ x (/ (+ 9 (* x (+ (* x 4) 6))) x))>
#<alt (/ (+ 9 (* x (+ (* x 4) 6))) x)>
#<alt (+ 9 (* x (+ (* x 4) 6)))>
#<alt (* x (* x (* x -8)))>
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 (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>
#<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 (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 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 (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 2 x)))>
#<alt (* (pow x 2) (+ 3 (* x (+ 2 (* 4/3 x)))))>
#<alt (* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 4/3 (* 8/9 x)))))))>
#<alt (* -9/2 x)>
#<alt (* -1 (* x (+ 9/2 (* 27/4 (/ 1 x)))))>
#<alt (* x (- (* -1 (/ (+ 27/4 (* 81/8 (/ 1 x))) x)) 9/2))>
#<alt (* x (- (* -1 (/ (+ 81/8 (* 243/16 (/ 1 x))) (pow x 2))) (+ 9/2 (* 27/4 (/ 1 x)))))>
#<alt (* -9/2 x)>
#<alt (* -1 (* x (+ 9/2 (* 27/4 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2))))))>
#<alt (* -1 (* x (+ 9/2 (* -1 (/ (- (* -1 (/ (+ 81/8 (* 243/16 (/ 1 x))) x)) 27/4) x)))))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 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 (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* -2/27 x)))>
#<alt (* (pow x 2) (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))>
#<alt (* (pow x 2) (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))>
#<alt 1/4>
#<alt (- 1/4 (* 3/8 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4)))))>
#<alt 1/4>
#<alt (- 1/4 (* 3/8 (/ 1 x)))>
#<alt (+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x)))>
#<alt (/ 9 x)>
#<alt (/ (+ 9 (* 6 x)) x)>
#<alt (/ (+ 9 (* x (+ 6 (* 4 x)))) x)>
#<alt (/ (+ 9 (* x (+ 6 (* 4 x)))) x)>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 6 (/ 1 x))))>
#<alt (* x (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* x (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 6 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 6 (* 9 (/ 1 x))) x)) 4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 6 (* 9 (/ 1 x))) x)) 4)))>
#<alt 9>
#<alt (+ 9 (* 6 x))>
#<alt (+ 9 (* x (+ 6 (* 4 x))))>
#<alt (+ 9 (* x (+ 6 (* 4 x))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
#<alt (* -8 (pow x 3))>
Calls

51 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x (* x 9))
0.0ms
x
@-inf
(* x 9)
0.0ms
x
@-inf
(/ (* x (* x 9)) (+ 3 (* x -2)))
0.0ms
x
@inf
(* (* x x) (* x -2))
0.0ms
x
@0
(* (* x x) (* x -2))

rewrite383.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
4328×/-lowering-/.f32
4328×/-lowering-/.f64
3442×*-lowering-*.f32
3442×*-lowering-*.f64
1540×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034114
118799
2156598
0826798
Stop Event
1×iter limit
1×node limit
Counts
17 → 831
Calls
Call 1
Inputs
(* (+ (* x -2) 3) (/ x (/ 1 x)))
(/ x (/ 1 x))
(+ (* x -2) 3)
(* x -2)
(* x (/ x 1/3))
(/ x 1/3)
(* (* x x) (* x -2))
(* x x)
(/ (* x (* x 9)) (+ 3 (* x -2)))
(* x (* x 9))
(* x 9)
(+ 3 (* x -2))
(* (/ x (/ (+ 9 (* x (+ (* x 4) 6))) x)) (+ 27 (* x (* x (* x -8)))))
(/ x (/ (+ 9 (* x (+ (* x 4) 6))) x))
(/ (+ 9 (* x (+ (* x 4) 6))) x)
(+ 9 (* x (+ (* x 4) 6)))
(* x (* x (* x -8)))
Outputs
(+.f64 (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(fma.f64 x (/.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) x) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) x) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 x (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) (*.f64 x x)) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) (*.f64 x x)) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) x) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal -9 binary64)) (+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal -81 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal -9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal -81 binary64))) (neg.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal -9 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (*.f64 x (*.f64 x x))) (pow.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 9 binary64)) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (*.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (*.f64 (/.f64 #s(literal 81 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 9 binary64)) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x #s(literal 6 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
(*.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal -9 binary64))))))
(*.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))))
(*.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal -9 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
(*.f64 (+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal -9 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 x #s(literal -8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (*.f64 x x) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -8 binary64)))
(*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x #s(literal -8 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal -8 binary64)) x)
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64)))

simplify205.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
2656×*-lowering-*.f32
2656×*-lowering-*.f64
1600×+-lowering-+.f64
1600×+-lowering-+.f32
1046×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01561149
1481989
21424960
33864940
08196940
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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)))))
(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
(+ 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)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 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)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 4/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 4/3 (* 8/9 x)))))))
(* -9/2 x)
(* -1 (* x (+ 9/2 (* 27/4 (/ 1 x)))))
(* x (- (* -1 (/ (+ 27/4 (* 81/8 (/ 1 x))) x)) 9/2))
(* x (- (* -1 (/ (+ 81/8 (* 243/16 (/ 1 x))) (pow x 2))) (+ 9/2 (* 27/4 (/ 1 x)))))
(* -9/2 x)
(* -1 (* x (+ 9/2 (* 27/4 (/ 1 x)))))
(* -1 (* x (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2))))))
(* -1 (* x (+ 9/2 (* -1 (/ (- (* -1 (/ (+ 81/8 (* 243/16 (/ 1 x))) x)) 27/4) x)))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 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)))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* -2/27 x)))
(* (pow x 2) (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(* (pow x 2) (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
1/4
(- 1/4 (* 3/8 (/ 1 x)))
(- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x)))
(- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4)))))
1/4
(- 1/4 (* 3/8 (/ 1 x)))
(+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x)))
(+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x)))
(/ 9 x)
(/ (+ 9 (* 6 x)) x)
(/ (+ 9 (* x (+ 6 (* 4 x)))) x)
(/ (+ 9 (* x (+ 6 (* 4 x)))) x)
(* 4 x)
(* x (+ 4 (* 6 (/ 1 x))))
(* x (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* x (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* 4 x)
(* x (+ 4 (* 6 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 6 (* 9 (/ 1 x))) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ 6 (* 9 (/ 1 x))) x)) 4)))
9
(+ 9 (* 6 x))
(+ 9 (* x (+ 6 (* 4 x))))
(+ 9 (* x (+ 6 (* 4 x))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
(* -8 (pow x 3))
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 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 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(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))
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* 4/3 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 4/3 binary64))))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 4/3 (* 8/9 x)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 x #s(literal 8/9 binary64))))))))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -1 (* x (+ 9/2 (* 27/4 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64))
(* x (- (* -1 (/ (+ 27/4 (* 81/8 (/ 1 x))) x)) 9/2))
(+.f64 (+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64)) (/.f64 #s(literal -81/8 binary64) x))
(* x (- (* -1 (/ (+ 81/8 (* 243/16 (/ 1 x))) (pow x 2))) (+ 9/2 (* 27/4 (/ 1 x)))))
(+.f64 (+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64)) (/.f64 (+.f64 #s(literal -81/8 binary64) (/.f64 #s(literal -243/16 binary64) x)) x))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -1 (* x (+ 9/2 (* 27/4 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64))
(* -1 (* x (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2))))))
(+.f64 (+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64)) (/.f64 #s(literal -81/8 binary64) x))
(* -1 (* x (+ 9/2 (* -1 (/ (- (* -1 (/ (+ 81/8 (* 243/16 (/ 1 x))) x)) 27/4) x)))))
(+.f64 (+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64)) (/.f64 (+.f64 #s(literal -81/8 binary64) (/.f64 #s(literal -243/16 binary64) x)) x))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.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 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* 1/9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1/9 (* -2/27 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -2/27 binary64)))))
(* (pow x 2) (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal -2/27 binary64) (*.f64 (*.f64 x x) #s(literal 8/243 binary64))))))
(* (pow x 2) (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal -2/27 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 8/243 binary64) (*.f64 x #s(literal -16/729 binary64))))))))
1/4
#s(literal 1/4 binary64)
(- 1/4 (* 3/8 (/ 1 x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x))
(- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x))
(- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4)))))
(+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x) (/.f64 #s(literal -81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
1/4
#s(literal 1/4 binary64)
(- 1/4 (* 3/8 (/ 1 x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x))
(+ 1/4 (* -1 (/ (- 3/8 (* 27/32 (/ 1 (pow x 2)))) x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x))
(+ 1/4 (* -1 (/ (- (+ 3/8 (/ 81/64 (pow x 3))) (* 27/32 (/ 1 (pow x 2)))) x)))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -81/64 binary64) (*.f64 x (*.f64 x x))))) x))
(/ 9 x)
(/.f64 #s(literal 9 binary64) x)
(/ (+ 9 (* 6 x)) x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 9 binary64) x)))
(/ (+ 9 (* x (+ 6 (* 4 x)))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 9 binary64)) x)
(/ (+ 9 (* x (+ 6 (* 4 x)))) x)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 9 binary64)) x)
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))
(* x (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 9 binary64) x)))
(* x (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 9 binary64) x)))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* 6 (/ 1 x))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))
(* -1 (* x (- (* -1 (/ (+ 6 (* 9 (/ 1 x))) x)) 4)))
(-.f64 (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 9 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 6 (* 9 (/ 1 x))) x)) 4)))
(-.f64 (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 9 binary64) x)))
9
#s(literal 9 binary64)
(+ 9 (* 6 x))
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 9 binary64))
(+ 9 (* x (+ 6 (* 4 x))))
(+.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 9 binary64))
(+ 9 (* x (+ 6 (* 4 x))))
(+.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 9 binary64))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(+.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 9 binary64))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(+.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 9 binary64))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(+.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 9 binary64))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(+.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) #s(literal 9 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(* -8 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))

eval394.0ms (4.8%)

Compiler

Compiled 28922 to 2302 computations (92% saved)

prune156.0ms (1.9%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1053121065
Fresh347
Picked325
Done033
Total1059211080
Accuracy
100.0%
Counts
1080 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.0%
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
75.8%
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
▶63.0%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
75.8%
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
▶99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
63.0%
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
62.0%
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
4.5%
(+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64))
▶75.8%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64)))
▶95.3%
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
✓99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓75.9%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
63.0%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓63.0%
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
58.2%
(*.f64 x (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))))
67.7%
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) x)))
✓99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓63.0%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
▶5.9%
(*.f64 x #s(literal -9/2 binary64))
63.0%
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 452 to 313 computations (30.8% saved)

simplify175.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 4 binary64)))
✓cost-diff0
(-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))
✓cost-diff0
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x x))
✓cost-diff128
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓cost-diff128
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 x #s(literal -9/2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
✓cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
Rules
2220×fma-define
1866×*-lowering-*.f32
1866×*-lowering-*.f64
1586×fma-lowering-fma.f32
1586×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028124
173116
2178112
3438112
41239112
52720112
65236112
77915112
08201112
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ x (/ 1 (* x (+ (* x -2) 3))))
x
(/ 1 (* x (+ (* x -2) 3)))
1
(* x (+ (* x -2) 3))
(+ (* x -2) 3)
(* x -2)
-2
3
(* x -9/2)
x
-9/2
(/ (* x x) 1/3)
(* x x)
x
1/3
(* (/ x (/ 1 x)) (* x -2))
(/ x (/ 1 x))
x
(/ 1 x)
1
(* x -2)
-2
(* (* (- 9 (* x (* x 4))) (* x x)) (/ 1 (+ 3 (* 2 x))))
(* (- 9 (* x (* x 4))) (* x x))
(- 9 (* x (* x 4)))
9
(* x (* x 4))
x
(* x 4)
4
(* x x)
(/ 1 (+ 3 (* 2 x)))
1
(+ 3 (* 2 x))
3
(* 2 x)
2
Outputs
(/ x (/ 1 (* x (+ (* x -2) 3))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
x
(/ 1 (* x (+ (* x -2) 3)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(* x (+ (* x -2) 3))
(*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(+ (* x -2) 3)
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
3
#s(literal 3 binary64)
(* x -9/2)
(*.f64 x #s(literal -9/2 binary64))
x
-9/2
#s(literal -9/2 binary64)
(/ (* x x) 1/3)
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(* x x)
(*.f64 x x)
x
1/3
#s(literal 1/3 binary64)
(* (/ x (/ 1 x)) (* x -2))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(/ x (/ 1 x))
(*.f64 x x)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* (* (- 9 (* x (* x 4))) (* x x)) (/ 1 (+ 3 (* 2 x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (- 9 (* x (* x 4))) (* x x))
(*.f64 (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(- 9 (* x (* x 4)))
(-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))
9
#s(literal 9 binary64)
(* x (* x 4))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
x
(* x 4)
(*.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* x x)
(*.f64 x x)
(/ 1 (+ 3 (* 2 x)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 3 (* 2 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
3
#s(literal 3 binary64)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize172.0ms (2.1%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 4 binary64))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
✓accuracy99.8%
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x x))
✓accuracy95.5%
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.8%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64)))
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.7%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -9/2 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
Results
114.0ms240×0valid
8.0ms10×1valid
6.0ms6×2valid
Compiler

Compiled 148 to 29 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 18.0ms (43.2% of total)
ival-div: 12.0ms (28.8% of total)
...c/correct-round.rkt:119:19: 5.0ms (12% of total)
ival-add: 3.0ms (7.2% of total)
backward-pass: 2.0ms (4.8% of total)
const: 1.0ms (2.4% of total)
ival-sub: 1.0ms (2.4% of total)

series5.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/ x (/ 1 (* x (+ (* x -2) 3))))>
#<alt (/ 1 (* x (+ (* x -2) 3)))>
#<alt (* x (+ (* x -2) 3))>
#<alt (+ (* x -2) 3)>
#<alt (* x -9/2)>
#<alt (/ (* x x) 1/3)>
#<alt (* x x)>
#<alt (* (/ x (/ 1 x)) (* x -2))>
#<alt (/ x (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* x -2)>
#<alt (* (* (- 9 (* x (* x 4))) (* x x)) (/ 1 (+ 3 (* 2 x))))>
#<alt (* (- 9 (* x (* x 4))) (* x x))>
#<alt (- 9 (* x (* x 4)))>
#<alt (* x (* x 4))>
#<alt (* 2 x)>
#<alt (* x 4)>
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 (/ 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))>
#<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 (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* -9/2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -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 (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -2 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 (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* -4 (pow x 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* -4 (pow x 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt 9>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (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 (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
Calls

51 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* (* (- 9 (* x (* x 4))) (* x x)) (/ 1 (+ 3 (* 2 x))))
0.0ms
x
@-inf
(* x -9/2)
0.0ms
x
@inf
(* x -9/2)
0.0ms
x
@-inf
(/ 1 x)
0.0ms
x
@0
(* x -9/2)

rewrite311.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4780×*-lowering-*.f32
4780×*-lowering-*.f64
3056×/-lowering-/.f32
3056×/-lowering-/.f64
1052×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02884
115078
2101775
0880875
Stop Event
1×iter limit
1×node limit
Counts
17 → 941
Calls
Call 1
Inputs
(/ x (/ 1 (* x (+ (* x -2) 3))))
(/ 1 (* x (+ (* x -2) 3)))
(* x (+ (* x -2) 3))
(+ (* x -2) 3)
(* x -9/2)
(/ (* x x) 1/3)
(* x x)
(* (/ x (/ 1 x)) (* x -2))
(/ x (/ 1 x))
(/ 1 x)
(* x -2)
(* (* (- 9 (* x (* x 4))) (* x x)) (/ 1 (+ 3 (* 2 x))))
(* (- 9 (* x (* x 4))) (* x x))
(- 9 (* x (* x 4)))
(* x (* x 4))
(* 2 x)
(* x 4)
Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) #s(literal 729 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) #s(literal 9 binary64)))))
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(/.f64 (*.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) #s(literal 9 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 387420489 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 4096 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))))) (+.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) #s(literal 729 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 4096 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64)))) #s(literal 81 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 6561 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (+.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))) #s(literal -81 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -81 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) #s(literal -9 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal -9 binary64)))
(*.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))))))
(*.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) #s(literal 9 binary64))))))
(*.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(*.f64 (+.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))) #s(literal -81 binary64))))
(*.f64 (+.f64 #s(literal -81 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) #s(literal -9 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 4 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -4 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 4 binary64) x)
(*.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) x))

simplify248.0ms (3%)

Algorithm
1×egg-herbie
Rules
2232×*-lowering-*.f32
2232×*-lowering-*.f64
1670×sum5-define
1424×fma-define
1402×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0951062
1248892
2645884
31567884
43686884
57723884
08546884
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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)))))
(/ 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))
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)))))
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* -9/2 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -2 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)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
9
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (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)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 2/9 x)) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 2/9 binary64))) x)
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 2/9 binary64) (*.f64 x #s(literal 4/27 binary64))))) x)
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 2/9 binary64) (*.f64 x (+.f64 #s(literal 4/27 binary64) (*.f64 x #s(literal 8/81 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 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* x (+ 3 (* -2 x)))
(*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* x (+ 3 (* -2 x)))
(*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 3 (* -2 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* -9/2 x)
(*.f64 x #s(literal -9/2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -2 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 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(* -4 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(* -4 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(+ 9 (* -4 (pow x 2)))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(+ 9 (* -4 (pow x 2)))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* -4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(* 4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4 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))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))

eval181.0ms (2.2%)

Compiler

Compiled 26097 to 2558 computations (90.2% saved)

prune136.0ms (1.6%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New120361209
Fresh4711
Picked145
Done055
Total1208221230
Accuracy
100.0%
Counts
1230 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.8%
(/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
✓63.0%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
✓99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
63.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
63.0%
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
75.8%
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
5.9%
(/.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -1 binary64) x))
62.0%
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
75.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal -2 binary64))))
4.5%
(+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64))
✓75.8%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64)))
71.7%
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
✓99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓75.9%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
63.0%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
✓63.0%
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
58.2%
(*.f64 x (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))))
67.7%
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) x)))
✓99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
✓63.0%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
✓5.9%
(*.f64 x #s(literal -9/2 binary64))
63.0%
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 910 to 341 computations (62.5% saved)

regimes27.0ms (0.3%)

Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -9/2 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64))
(/.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
(*.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x #s(literal -2 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x)))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
(*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) x) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) #s(literal -27 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 x (*.f64 (-.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))))
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64))))))))
(*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))))
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
Calls

2 calls:

12.0ms
x
11.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal -9/2 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64))
(/.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
97.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -9/2 binary64))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -9/2 binary64)) #s(literal -27/4 binary64))
(/.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
Outputs
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
63.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -9/2 binary64))
Outputs
(*.f64 x #s(literal -9/2 binary64))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
5.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch31.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.30518365890838833
645.9410449569538
16.0ms
-19.912070981437754
-0.015598077727842581
Results
15.0ms256×0valid
Compiler

Compiled 270 to 186 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (68.8% of total)
ival-sub: 1.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
2×+-commutative_binary64
2×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01938
13038
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal -9/2 binary64))
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal -9/2 binary64))

soundness1.5s (18.1%)

Rules
3310×*-lowering-*.f32
3310×*-lowering-*.f64
3166×*-lowering-*.f32
3166×*-lowering-*.f64
2656×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01941633
16291403
215941393
340831393
084581393
01241
15836
244936
3372936
0915436
078
1178
2457
31207
42497
53547
65407
78307
824747
928927
1033557
1139517
1239757
039757
01561149
1481989
21424960
33864940
08196940
028480
179401
2190401
3536401
41485401
52778401
66003401
08279401
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 121 to 72 computations (40.5% saved)

preprocess74.0ms (0.9%)

Compiler

Compiled 130 to 66 computations (49.2% saved)

end0.0ms (0%)

Profiling

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