Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 8.3s)

analyze0.0ms (0%)

Algorithm
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)

sample788.0ms (9.5%)

Results
593.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 328.0ms
ival-mult: 263.0ms (80.2% of total)
ival-sub: 46.0ms (14% of total)
const: 15.0ms (4.6% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess145.0ms (1.8%)

Algorithm
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
iter limit
saturated
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))

explain302.0ms (3.7%)

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
142.0ms512×0valid
Compiler

Compiled 60 to 23 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 110.0ms (96.6% of total)
ival-sub: 3.0ms (2.6% of total)
const: 1.0ms (0.9% 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)

simplify74.0ms (0.9%)

Algorithm
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
iter limit
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)

localize188.0ms (2.3%)

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
164.0ms235×0valid
4.0ms10×2valid
3.0ms11×1valid
Compiler

Compiled 52 to 13 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 34.0ms (86.7% of total)
ival-add: 2.0ms (5.1% of total)
ival-sub: 2.0ms (5.1% of total)
const: 1.0ms (2.5% of total)
backward-pass: 1.0ms (2.5% of total)

series4.0ms (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))))
0.0ms
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))))

rewrite316.0ms (3.8%)

Algorithm
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
iter limit
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))))))
(*.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))) (*.f64 x x)))
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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))

simplify174.0ms (2.1%)

Algorithm
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
iter limit
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))

eval62.0ms (0.7%)

Compiler

Compiled 10703 to 966 computations (91% saved)

prune66.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New47213485
Fresh000
Picked112
Done000
Total47314487
Accuracy
100.0%
Counts
487 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.1%
(/.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)))))
69.2%
(/.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)))))
49.2%
(/.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))))
69.2%
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
63.3%
(*.f64 (*.f64 x x) (*.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)))))))
71.5%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
63.1%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
49.2%
(*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
71.0%
(*.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)))))))
99.8%
(*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
73.2%
(*.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)))))
63.1%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 494 to 325 computations (34.2% saved)

simplify179.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))
cost-diff128
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
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 (*.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-diff0
(*.f64 x (/.f64 x (/.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-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 3 binary64)))
cost-diff0
(*.f64 x (*.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
cost-diff128
(-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))
Rules
2296×fnmadd-define
2048×*-lowering-*.f32
2048×*-lowering-*.f64
1668×fma-define
1282×distribute-lft-neg-out
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037248
1100232
2272232
3752229
41625226
52888226
65391226
09188226
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (- (* x 3) (* x (* x 2))))
x
(- (* x 3) (* x (* x 2)))
(* x 3)
3
(* x (* x 2))
(* x 2)
2
(* 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 (* (+ 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
(* (* (* x x) (+ 27 (* (* x (* x x)) -8))) (/ 1 (+ 9 (* x (+ (* x 4) 6)))))
(* (* x x) (+ 27 (* (* x (* x x)) -8)))
(* x x)
x
(+ 27 (* (* x (* x x)) -8))
27
(* (* x (* x x)) -8)
(* x (* x x))
-8
(/ 1 (+ 9 (* x (+ (* x 4) 6))))
1
(+ 9 (* x (+ (* x 4) 6)))
9
(* x (+ (* x 4) 6))
(+ (* x 4) 6)
(* x 4)
4
6
Outputs
(* x (- (* x 3) (* x (* x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
x
(- (* x 3) (* x (* x 2)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* x 3)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x (* x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (* x 3))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
x
(* x 3)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* x (/ x (/ -1 (+ (* x -2) -3))))
(*.f64 x (*.f64 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 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))))
-1
#s(literal -1 binary64)
(+ (* x -2) -3)
(+.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-3
#s(literal -3 binary64)
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.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)))))
x
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))
(/.f64 (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.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)))))
(+ 27 (* (* x (* x x)) -8))
(+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))
27
#s(literal 27 binary64)
(* (* x (* x x)) -8)
(*.f64 x (*.f64 (*.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 (*.f64 x #s(literal 4 binary64)) #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)
(* (* (* x x) (+ 27 (* (* x (* x x)) -8))) (/ 1 (+ 9 (* x (+ (* x 4) 6)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.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)))))
(* (* x x) (+ 27 (* (* x (* x x)) -8)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 27 (* (* x (* x x)) -8))
(+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))
27
#s(literal 27 binary64)
(* (* x (* x x)) -8)
(*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
-8
#s(literal -8 binary64)
(/ 1 (+ 9 (* x (+ (* x 4) 6))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
1
#s(literal 1 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)

localize306.0ms (3.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))
accuracy72.2%
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))
accuracy99.9%
(*.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)))))))
accuracy91.7%
(*.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))))))
accuracy75.1%
(/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 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 x #s(literal 3 binary64))
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy99.9%
(-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))
accuracy99.8%
(*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
Results
153.0ms216×0valid
47.0ms16×2valid
42.0ms24×1valid
Compiler

Compiled 298 to 38 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 32.0ms (55.9% of total)
ival-div: 10.0ms (17.5% of total)
ival-add: 6.0ms (10.5% of total)
backward-pass: 5.0ms (8.7% of total)
const: 2.0ms (3.5% of total)
ival-sub: 2.0ms (3.5% of total)

series21.0ms (0.2%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (- (* x 3) (* x (* x 2)))>
#<alt (* x (- (* x 3) (* x (* x 2))))>
#<alt (* x 3)>
#<alt (* x (* x 2))>
#<alt (* x (* x 3))>
#<alt (/ x (/ -1 (+ (* x -2) -3)))>
#<alt (* x (/ x (/ -1 (+ (* x -2) -3))))>
#<alt (/ -1 (+ (* x -2) -3))>
#<alt (+ (* x -2) -3)>
#<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) (+ 27 (* (* x (* x x)) -8))) (/ 1 (+ 9 (* x (+ (* x 4) 6)))))>
#<alt (* (* x x) (+ 27 (* (* x (* x x)) -8)))>
#<alt (* x x)>
#<alt (* x 2)>
#<alt (* x -2)>
#<alt (/ x (+ 9 (* x (+ (* x 4) 6))))>
#<alt (* x (* x x))>
#<alt (* x (+ (* x 4) 6))>
Outputs
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 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 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 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 (* 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 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) (- (* 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 (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 27 (pow x 2))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))>
#<alt (* -8 (pow x 5))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))>
#<alt (* -8 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -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)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* 4 x)))>
#<alt (* x (+ 6 (* 4 x)))>
#<alt (* 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))))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))>
Calls

63 calls:

TimeVariablePointExpression
8.0ms
x
@0
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))
1.0ms
x
@inf
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))
1.0ms
x
@-inf
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))
1.0ms
x
@0
(* x (- (* x 3) (* x (* x 2))))
0.0ms
x
@0
(/ x (/ -1 (+ (* x -2) -3)))

rewrite496.0ms (6%)

Algorithm
batch-egg-rewrite
Rules
3302×/-lowering-/.f32
3302×/-lowering-/.f64
3094×*-lowering-*.f32
3094×*-lowering-*.f64
1968×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037161
1199147
21566144
08541144
Stop Event
iter limit
node limit
Counts
21 → 787
Calls
Call 1
Inputs
(- (* x 3) (* x (* x 2)))
(* x (- (* x 3) (* x (* x 2))))
(* x 3)
(* x (* x 2))
(* x (* x 3))
(/ x (/ -1 (+ (* x -2) -3)))
(* x (/ x (/ -1 (+ (* x -2) -3))))
(/ -1 (+ (* x -2) -3))
(+ (* x -2) -3)
(* 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) (+ 27 (* (* x (* x x)) -8))) (/ 1 (+ 9 (* x (+ (* x 4) 6)))))
(* (* x x) (+ 27 (* (* x (* x x)) -8)))
(* x x)
(* x 2)
(* x -2)
(/ x (+ 9 (* x (+ (* x 4) 6))))
(* x (* x x))
(* x (+ (* x 4) 6))
Outputs
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(+.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 27 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 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 27 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 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 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))))) (-.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 x #s(literal 3 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(fma.f64 x #s(literal 3 binary64) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 #s(literal 3 binary64) x (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 3 binary64) x (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(fma.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))))) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.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))))) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.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))))) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(fma.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) x (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) x) #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))
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(-.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 (/.f64 x (+.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 x (+.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 #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 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)))))
(*.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 1 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 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)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64)))))
(fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) x (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -2 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) x (*.f64 x #s(literal 6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64)))) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) #s(literal -27 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64)))))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64))) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64)) x) (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) #s(literal -27 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (-.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(*.f64 (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) x)
(*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal 6 binary64)))))
(*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64))))))
(*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64))))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))

simplify256.0ms (3.1%)

Algorithm
egg-herbie
Rules
3062×*-lowering-*.f32
3062×*-lowering-*.f64
1962×+-lowering-+.f64
1962×+-lowering-+.f32
1560×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01781513
15611319
214051314
335841311
086101311
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 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 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 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))))
(* 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))))
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) (- (* 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))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* -8 (pow x 5))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 5))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -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)
(* 6 x)
(* x (+ 6 (* 4 x)))
(* x (+ 6 (* 4 x)))
(* x (+ 6 (* 4 x)))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
Outputs
(* 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 x (*.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))))
(* (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 x (*.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))))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 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 x (*.f64 x (*.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))))
(* (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 x (*.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 (* (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)
(* 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 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 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)
(* 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 x (*.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))))
(* (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 x (*.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))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 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 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 (*.f64 x x) (*.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)))))
(* (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 (*.f64 x x) (*.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)))))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 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 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) 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 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) 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 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64)))
(- (* -2 x) 3)
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64)))
(- (* -2 x) 3)
(-.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))
(* -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 x (*.f64 x (*.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))))
(* (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 x (*.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 (* (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 x (*.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))))
(* (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 x (*.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))))
(* (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 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(+ 27 (* -8 (pow x 3)))
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(+ 27 (* -8 (pow x 3)))
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64))))
(* -8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 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 x (*.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))))
(* (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 x (*.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 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(* 27 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 27 binary64))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(* -8 (pow x 5))
(*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x)))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x)))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x)))
(* -8 (pow x 5))
(*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x)))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x)))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x 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 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -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 x (*.f64 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 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x)) (/.f64 #s(literal -81/64 binary64) (*.f64 (*.f64 x x) (*.f64 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 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.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))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* 4 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))
(* x (+ 6 (* 4 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))
(* x (+ 6 (* 4 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64))))
(* 4 (pow x 2))
(*.f64 (*.f64 x 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))))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.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))))
(* 4 (pow x 2))
(*.f64 (*.f64 x 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))))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.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))))

eval167.0ms (2%)

Compiler

Compiled 37930 to 2942 computations (92.2% saved)

prune151.0ms (1.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New125561261
Fresh448
Picked325
Done011
Total1262131275
Accuracy
100.0%
Counts
1275 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.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))))
99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))
49.1%
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
71.1%
(*.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 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))
67.9%
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
71.5%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
63.1%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
63.1%
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
99.8%
(*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
71.8%
(*.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 (*.f64 x x) #s(literal 4 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)))))
63.1%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 332 to 229 computations (31% saved)

simplify268.0ms (3.2%)

Algorithm
egg-herbie
Localize:

Found 17 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-diff128
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
cost-diff128
(*.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 (*.f64 x x) #s(literal 4 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-diff128
(/.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 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 #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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))
Rules
4050×*-lowering-*.f32
4050×*-lowering-*.f64
2322×fma-define
1806×fma-lowering-fma.f32
1806×fma-lowering-fma.f64
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
032189
186170
2216169
3475169
4769169
51107169
61653169
72238169
82605168
92986168
103188168
113189168
123189168
133577166
144217166
155139166
165791166
177596166
187946166
08007166
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ x (/ 1 (* x (+ 3 (* x -2)))))
x
(/ 1 (* x (+ 3 (* x -2))))
1
(* x (+ 3 (* x -2)))
(+ 3 (* x -2))
3
(* x -2)
-2
(* x (/ x 1/3))
x
(/ x 1/3)
1/3
(* (* x x) (* x -2))
(* x x)
x
(* x -2)
-2
(/ (* 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)))))
x
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))
(+ 27 (* (* x (* x x)) -8))
27
(* (* x (* x x)) -8)
(* x (* x x))
(* x x)
-8
(/ x (+ 9 (* (* x x) 4)))
(+ 9 (* (* x x) 4))
9
(* (* x x) 4)
4
Outputs
(/ x (/ 1 (* x (+ 3 (* x -2)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
x
(/ 1 (* x (+ 3 (* x -2))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* 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 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 (*.f64 x (*.f64 x 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 (* (* x x) -4)))) (+ 3 (* x -2)))
(/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))
(* x (* x (+ 9 (* (* x x) -4))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
x
(* x (+ 9 (* (* x x) -4)))
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(+ 9 (* (* x x) -4))
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))
9
#s(literal 9 binary64)
(* (* x x) -4)
(*.f64 (*.f64 x x) #s(literal -4 binary64))
(* x x)
(*.f64 x x)
-4
#s(literal -4 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 (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4)))))
(/.f64 (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))
x
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))
(/.f64 (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (+.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) x)))
(+ 27 (* (* x (* x x)) -8))
(+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))
27
#s(literal 27 binary64)
(* (* x (* x x)) -8)
(*.f64 x (*.f64 (*.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)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) x)))
(+ 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)))
4
#s(literal 4 binary64)

localize467.0ms (5.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.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 (*.f64 x x) #s(literal 4 binary64))))))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy94.8%
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
accuracy83.5%
(/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 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)))))
accuracy98.5%
(/.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 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 x #s(literal -2 binary64))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
accuracy99.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
Results
313.0ms82×5exit
69.0ms164×0valid
11.0ms3valid
3.0ms1valid
2.0ms2valid
Compiler

Compiled 221 to 33 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-mult: 71.0ms (35.2% of total)
backward-pass: 57.0ms (28.3% of total)
...c/correct-round.rkt:119:19: 39.0ms (19.4% of total)
ival-div: 22.0ms (10.9% of total)
ival-add: 10.0ms (5% of total)
const: 2.0ms (1% of total)

series10.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/ x (/ 1 (* x (+ 3 (* x -2)))))>
#<alt (/ 1 (* x (+ 3 (* x -2))))>
#<alt (* x (+ 3 (* x -2)))>
#<alt (+ 3 (* x -2))>
#<alt (* x (/ x 1/3))>
#<alt (/ x 1/3)>
#<alt (* (* x x) (* x -2))>
#<alt (* x x)>
#<alt (* x -2)>
#<alt (/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))>
#<alt (* x (* x (+ 9 (* (* x x) -4))))>
#<alt (* x (+ 9 (* (* x x) -4)))>
#<alt (+ 9 (* (* x x) -4))>
#<alt (* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4)))))>
#<alt (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))>
#<alt (+ 27 (* (* x (* x x)) -8))>
#<alt (* (* x (* x x)) -8)>
#<alt (* (* x x) -4)>
#<alt (/ x (+ 9 (* (* x x) 4)))>
#<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 (/ 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 (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* 2 x)))>
#<alt (* (pow x 2) (+ 3 (* 2 x)))>
#<alt (* (pow x 2) (+ 3 (* 2 x)))>
#<alt (* 2 (pow x 3))>
#<alt (* (pow x 3) (+ 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 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 (* (pow x 2) (+ 3 (* -4/3 (pow x 2))))>
#<alt (* (pow x 2) (+ 3 (* (pow x 2) (- (* -8/9 x) 4/3))))>
#<alt (* (pow x 2) (+ 3 (* (pow x 2) (- (* x (- (* 16/27 x) 8/9)) 4/3))))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))>
#<alt (* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4))))))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 9/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 2 (* -1 (/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 3)))) (* 9/2 (/ 1 (pow x 2))))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -4/3 (pow x 2))))>
#<alt (* x (+ 3 (* (pow x 2) (- (* -8/9 x) 4/3))))>
#<alt (* x (+ 3 (* (pow x 2) (- (* x (- (* 16/27 x) 8/9)) 4/3))))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))>
#<alt (* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4))))))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2))>
#<alt (* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) (pow x 3))) (* 9/2 (/ 1 (pow x 2)))) 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 (* 1/9 x)>
#<alt (* x (+ 1/9 (* -4/81 (pow x 2))))>
#<alt (* x (+ 1/9 (* (pow x 2) (- (* 16/729 (pow x 2)) 4/81))))>
#<alt (* x (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 16/729 (* -64/6561 (pow x 2)))) 4/81))))>
#<alt (/ 1/4 x)>
#<alt (/ (- 1/4 (* 9/16 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/4 (/ 81/64 (pow x 4))) (* 9/16 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/4 (/ 81/64 (pow x 4))) (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6))))) x)>
#<alt (/ 1/4 x)>
#<alt (* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) 1/4) x))>
#<alt (* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) (+ 1/4 (/ 81/64 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6)))) (+ 1/4 (/ 81/64 (pow x 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

60 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))
0.0ms
x
@0
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))
0.0ms
x
@inf
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))
0.0ms
x
@inf
(* (* x x) -4)
0.0ms
x
@inf
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4)))))

rewrite343.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
3486×*-lowering-*.f32
3486×*-lowering-*.f64
3098×/-lowering-/.f32
3098×/-lowering-/.f64
1642×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032146
1171124
21321123
08757123
Stop Event
iter limit
node limit
Counts
20 → 704
Calls
Call 1
Inputs
(/ x (/ 1 (* x (+ 3 (* x -2)))))
(/ 1 (* x (+ 3 (* x -2))))
(* x (+ 3 (* x -2)))
(+ 3 (* x -2))
(* x (/ x 1/3))
(/ x 1/3)
(* (* x x) (* x -2))
(* x x)
(* x -2)
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))
(* x (* x (+ 9 (* (* x x) -4))))
(* x (+ 9 (* (* x x) -4)))
(+ 9 (* (* x x) -4))
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4)))))
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))
(+ 27 (* (* x (* x x)) -8))
(* (* x (* x x)) -8)
(* (* x x) -4)
(/ x (+ 9 (* (* x x) 4)))
(* x (* x x))
Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.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 x)))
(fma.f64 x (/.f64 x #s(literal 1/3 binary64)) (*.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) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(neg.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 x (/.f64 #s(literal 1/3 binary64) 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 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (-.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) #s(literal -1 binary64))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))
(*.f64 (/.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))) (/.f64 #s(literal 1 binary64) (+.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 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) #s(literal -1/2 binary64)))
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(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3/2 binary64)))
(/.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 (*.f64 x 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 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -8 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 x 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 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -8 binary64) x) (*.f64 x x))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 3/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 3/4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x #s(literal -4 binary64)))
(*.f64 x (neg.f64 (*.f64 x #s(literal 4 binary64))))
(*.f64 x (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 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 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal -4 binary64)) x)
(*.f64 (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 4 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (*.f64 x #s(literal 4 binary64))) x)
(*.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) x)
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) #s(literal 81 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 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 x (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 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 x (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) #s(literal 81 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) #s(literal 9 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) (*.f64 x (*.f64 x #s(literal -4 binary64)))))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) (*.f64 x (*.f64 x #s(literal -4 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) #s(literal 9 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(neg.f64 (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x 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)))))
(pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) x)
(*.f64 (/.f64 x (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 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 x (+.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 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 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) #s(literal -1 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 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify275.0ms (3.3%)

Algorithm
egg-herbie
Rules
3782×*-lowering-*.f32
3782×*-lowering-*.f64
1950×fma-lowering-fma.f32
1950×fma-lowering-fma.f64
1660×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02291743
16851547
220161530
363021517
083681517
Stop Event
iter limit
node limit
Counts
240 → 240
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)))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* 2 x)))
(* 2 (pow x 3))
(* (pow x 3) (+ 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))))))
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))
(* (pow x 2) (+ 3 (* -4/3 (pow x 2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* -8/9 x) 4/3))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* x (- (* 16/27 x) 8/9)) 4/3))))
(* -2 (pow x 3))
(* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) 2))
(* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))
(* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4))))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 9/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 2 (* -1 (/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 3)))) (* 9/2 (/ 1 (pow x 2))))))
(* 3 x)
(* x (+ 3 (* -4/3 (pow x 2))))
(* x (+ 3 (* (pow x 2) (- (* -8/9 x) 4/3))))
(* x (+ 3 (* (pow x 2) (- (* x (- (* 16/27 x) 8/9)) 4/3))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2))
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4))))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2))
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))
(* (pow x 2) (- (+ (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) (pow x 3))) (* 9/2 (/ 1 (pow x 2)))) 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))
(* 1/9 x)
(* x (+ 1/9 (* -4/81 (pow x 2))))
(* x (+ 1/9 (* (pow x 2) (- (* 16/729 (pow x 2)) 4/81))))
(* x (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 16/729 (* -64/6561 (pow x 2)))) 4/81))))
(/ 1/4 x)
(/ (- 1/4 (* 9/16 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/4 (/ 81/64 (pow x 4))) (* 9/16 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/4 (/ 81/64 (pow x 4))) (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6))))) x)
(/ 1/4 x)
(* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) 1/4) x))
(* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) (+ 1/4 (/ 81/64 (pow x 4)))) x))
(* -1 (/ (- (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6)))) (+ 1/4 (/ 81/64 (pow x 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 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)))
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(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/3 binary64) (*.f64 x (+.f64 #s(literal -8/9 binary64) (*.f64 x #s(literal 16/27 binary64))))))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))))
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 27/4 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 81/8 binary64) x) #s(literal -27/4 binary64)) (*.f64 x (*.f64 x x))))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))))
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 27/4 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 2) (- (+ (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) (pow x 3))) (* 9/2 (/ 1 (pow x 2)))) 2))
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 81/8 binary64) x) #s(literal -27/4 binary64)) (*.f64 x (*.f64 x x))))))
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 x (*.f64 x (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))))
(* -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 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))))))
(* -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))
(* 1/9 x)
(*.f64 x #s(literal 1/9 binary64))
(* x (+ 1/9 (* -4/81 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x #s(literal -4/81 binary64)))))
(* x (+ 1/9 (* (pow x 2) (- (* 16/729 (pow x 2)) 4/81))))
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/81 binary64) (*.f64 x (*.f64 x #s(literal 16/729 binary64)))))))
(* x (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 16/729 (* -64/6561 (pow x 2)))) 4/81))))
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -4/81 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 16/729 binary64) (*.f64 x (*.f64 x #s(literal -64/6561 binary64)))))))))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ (- 1/4 (* 9/16 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) x)
(/ (- (+ 1/4 (/ 81/64 (pow x 4))) (* 9/16 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ (- (+ 1/4 (/ 81/64 (pow x 4))) (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 x x)) (/.f64 #s(literal 729/256 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) 1/4) x))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) (+ 1/4 (/ 81/64 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6)))) (+ 1/4 (/ 81/64 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 x x)) (/.f64 #s(literal 729/256 binary64) (pow.f64 x #s(literal 6 binary64))))) 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))

eval130.0ms (1.6%)

Compiler

Compiled 26545 to 2838 computations (89.3% saved)

prune143.0ms (1.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New108581093
Fresh325
Picked325
Done123
Total1092141106
Accuracy
100.0%
Counts
1106 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x))
77.0%
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
71.5%
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
63.1%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
63.1%
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
71.5%
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
71.5%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64)))
71.5%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
63.1%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
63.1%
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
63.1%
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))
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)))))
63.1%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 226 to 160 computations (29.2% saved)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal -2 binary64)))
cost-diff128
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
cost-diff0
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
(+.f64 #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-diff128
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x))
Rules
116×*-lowering-*.f32
116×*-lowering-*.f64
108×/-lowering-/.f32
108×/-lowering-/.f64
50×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01880
14875
29072
313072
417272
521372
623172
723572
823672
023672
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* x (+ 3 (* x -2))) (/ 1 x))
(* x (+ 3 (* x -2)))
x
(+ 3 (* x -2))
3
(* x -2)
-2
(/ 1 x)
1
(* (* x x) 3)
(* x x)
x
3
(/ (* x x) 1/3)
(* x x)
x
1/3
(/ x (/ -1/2 (* x x)))
x
(/ -1/2 (* x x))
-1/2
(* x x)
(/ (* x (* x -2)) (/ 1 x))
(* x (* x -2))
x
(* x -2)
-2
(/ 1 x)
1
Outputs
(/ (* x (+ 3 (* x -2))) (/ 1 x))
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(* x (+ 3 (* x -2)))
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* (* x x) 3)
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* x x)
(*.f64 x x)
x
3
#s(literal 3 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 (/ -1/2 (* x x)))
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
x
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(/ (* x (* x -2)) (/ 1 x))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* x (* x -2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
x
(* x -2)
(*.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize122.0ms (1.5%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x (*.f64 x #s(literal -2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
accuracy99.8%
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy99.8%
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 3 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))))
accuracy99.7%
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x))
Results
71.0ms235×0valid
14.0ms10×2valid
8.0ms11×1valid
Compiler

Compiled 95 to 19 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 11.0ms (30.6% of total)
ival-mult: 10.0ms (27.8% of total)
backward-pass: 7.0ms (19.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (11.1% of total)
ival-add: 2.0ms (5.6% of total)
const: 1.0ms (2.8% of total)

series3.0ms (0%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ (* x (+ 3 (* x -2))) (/ 1 x))>
#<alt (* x (+ 3 (* x -2)))>
#<alt (+ 3 (* x -2))>
#<alt (* x -2)>
#<alt (* (* x x) 3)>
#<alt (* x x)>
#<alt (/ (* x x) 1/3)>
#<alt (/ x (/ -1/2 (* x x)))>
#<alt (/ -1/2 (* x x))>
#<alt (/ (* x (* x -2)) (/ 1 x))>
#<alt (* x (* x -2))>
#<alt (/ 1 x)>
Outputs
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (/ 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)>
Calls

36 calls:

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

rewrite288.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
2918×*-lowering-*.f32
2918×*-lowering-*.f64
2686×/-lowering-/.f32
2686×/-lowering-/.f64
1420×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01857
110452
259150
3594350
0819050
Stop Event
iter limit
node limit
Counts
12 → 741
Calls
Call 1
Inputs
(/ (* x (+ 3 (* x -2))) (/ 1 x))
(* x (+ 3 (* x -2)))
(+ 3 (* x -2))
(* x -2)
(* (* x x) 3)
(* x x)
(/ (* x x) 1/3)
(/ x (/ -1/2 (* x x)))
(/ -1/2 (* x x))
(/ (* x (* x -2)) (/ 1 x))
(* x (* x -2))
(/ 1 x)
Outputs
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))))
(neg.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))))))
(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (/.f64 #s(literal 1 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))))) x)))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (*.f64 (/.f64 #s(literal -1 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))))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 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))))) x))
(/.f64 (*.f64 x (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (*.f64 (/.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) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 x (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64)))))) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 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 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 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 x (*.f64 x (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (*.f64 (/.f64 #s(literal 1 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))))) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.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 x (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (*.f64 #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))))) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) #s(literal -9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) x) (*.f64 (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))) x) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -9 binary64)) x) (*.f64 (+.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 (/.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 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (*.f64 (/.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 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.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) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x)))) x) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 x (*.f64 x x)))) x) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
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(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(neg.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(*.f64 x (/.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (/.f64 x #s(literal -1/2 binary64)) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) (/.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) x)
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (/.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 (/.f64 x #s(literal -1/2 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify152.0ms (1.8%)

Algorithm
egg-herbie
Rules
1354×fmsub-define
1336×fnmsub-define
1300×*-lowering-*.f32
1300×*-lowering-*.f64
1262×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029680
179581
2194581
3553581
41474581
52778581
66008581
08284581
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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 x (*.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)))))
(* (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 x (*.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)))))
(* -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 x (*.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))))
(* (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 x (*.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))))
(* (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))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(/ 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)

eval193.0ms (2.3%)

Compiler

Compiled 15027 to 1869 computations (87.6% saved)

prune142.0ms (1.7%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New101951024
Fresh415
Picked235
Done044
Total1025131038
Accuracy
100.0%
Counts
1038 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x))
99.8%
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x))
71.5%
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
63.1%
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
71.5%
(/.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))
63.1%
(/.f64 x (/.f64 #s(literal 1/3 binary64) x))
62.4%
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
63.0%
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
71.5%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
63.1%
(*.f64 (*.f64 x x) #s(literal 3 binary64))
63.1%
(*.f64 x (/.f64 x #s(literal 1/3 binary64)))
99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
63.1%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Compiler

Compiled 557 to 194 computations (65.2% saved)

regimes21.0ms (0.3%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.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 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 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 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
(*.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 (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 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 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 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 (*.f64 x x) #s(literal 4 binary64))))))
(*.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 (*.f64 x x) (+.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 (*.f64 x x) #s(literal 4 binary64)))))
(*.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 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 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 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 x x) (+.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 (*.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 x) (*.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)))))))
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
Calls

2 calls:

11.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
9.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
(*.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 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 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 (/.f64 #s(literal -1/2 binary64) x) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
Outputs
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
(*.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 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 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 (/.f64 #s(literal -1/2 binary64) x) x))
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:

5.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-0.6%)

Threshold costs -0.1b (-0.6%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.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 x (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)))
Outputs
(*.f64 x (*.f64 x #s(literal 3 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
63.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch31.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.553070242342735e-8
943.0873923284815
14.0ms
-1139.4333277093995
-4.2103990395837493e-7
Results
18.0ms304×0valid
Compiler

Compiled 318 to 219 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (75.3% of total)
ival-sub: 1.0ms (12.5% of total)
const: 1.0ms (12.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
5.553070242342735e-8
943.0873923284815
25.0ms
-1139.4333277093995
-4.2103990395837493e-7
Results
38.0ms304×0valid
Compiler

Compiled 318 to 219 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 27.0ms (93.6% of total)
ival-sub: 2.0ms (6.9% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02262
13262
Stop Event
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 #s(literal -1/2 binary64) x))))
(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)))
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 #s(literal -1/2 binary64) x))))
(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 x) (/.f64 #s(literal -1/2 binary64) x))))
(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)))

soundness1.8s (22.2%)

Rules
3782×*-lowering-*.f32
3782×*-lowering-*.f64
3310×*-lowering-*.f32
3310×*-lowering-*.f64
3302×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01241
15836
244936
3372936
0915436
037161
1199147
21566144
08541144
02291743
16851547
220161530
363021517
083681517
078
1178
2457
31207
42497
53547
65407
78307
824747
928927
1033557
1139517
1239757
039757
01857
110452
259150
3594350
0819050
028480
179401
2190401
3536401
41485401
52778401
66003401
08279401
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 193 to 106 computations (45.1% saved)

preprocess56.0ms (0.7%)

Compiler

Compiled 178 to 72 computations (59.6% saved)

end0.0ms (0%)

Profiling

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