Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, D

Time bar (total: 7.6s)

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 15 to 11 computations (26.7% saved)

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

sample912.0ms (12%)

Results
654.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 396.0ms
ival-mult: 282.0ms (71.3% of total)
ival-add: 52.0ms (13.1% of total)
ival-sub: 42.0ms (10.6% of total)
const: 18.0ms (4.5% of total)
backward-pass: 2.0ms (0.5% of total)
Bogosity

preprocess290.0ms (3.8%)

Algorithm
egg-herbie
Rules
2716×fnmadd-define
2686×fnmsub-define
2332×fnmadd-define
2288×fmm-def
1868×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01842
17332
223429
387227
4283624
5516124
6609624
7626124
8626324
9626321
01012
13310
2839
32099
44337
57147
612997
728447
858887
975207
1079317
080017
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
Outputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
Call 2
Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1))
(neg (* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1)))
Outputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(fnmsub x (fnmsub x 9 -12) -3)
(* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1))
(fnmsub x (fnmsub x 9 12) -3)
(neg (* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1)))
(fnmsub x (fnmsub x -9 -12) 3)

explain103.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
00-0-x
00-0-(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
00-0-(*.f64 x #s(literal 4 binary64))
00-0-(*.f64 x #s(literal 3 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) x)
00-0-(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
Results
55.0ms512×0valid
Compiler

Compiled 114 to 32 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 26.0ms (80.6% of total)
ival-sub: 3.0ms (9.3% of total)
ival-add: 2.0ms (6.2% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune31.0ms (0.4%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
99.4%
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 24 to 18 computations (25% saved)

simplify149.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
cost-diff0
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
cost-diff128
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
cost-diff128
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff256
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
Rules
2332×fnmadd-define
1868×fmsub-define
1800×sum5-define
1752×fnmsub-define
1724×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01674
15068
212559
326359
449759
575059
6132259
7286459
8592359
9755559
10796659
0801059
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
3
(+ (- (* (* x 3) x) (* x 4)) 1)
(- (* (* x 3) x) (* x 4))
(* (* x 3) x)
(* x 3)
x
(* x 4)
4
1
(+ 3 (* x (+ (* x 9) -12)))
3
(* x (+ (* x 9) -12))
x
(+ (* x 9) -12)
(* x 9)
9
-12
Outputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
3
#s(literal 3 binary64)
(+ (- (* (* x 3) x) (* x 4)) 1)
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) #s(literal 1 binary64))
(- (* (* x 3) x) (* x 4))
(*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)))
(* (* x 3) x)
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* x 3)
(*.f64 #s(literal 3 binary64) x)
x
(* x 4)
(*.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
1
#s(literal 1 binary64)
(+ 3 (* x (+ (* x 9) -12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
3
#s(literal 3 binary64)
(* x (+ (* x 9) -12))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
x
(+ (* x 9) -12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
-12
#s(literal -12 binary64)

localize72.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy100.0%
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
accuracy99.8%
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
accuracy99.7%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Results
37.0ms232×0valid
5.0ms13×2valid
3.0ms11×1valid
Compiler

Compiled 78 to 17 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (57.7% of total)
ival-add: 4.0ms (21% of total)
const: 1.0ms (5.2% of total)
backward-pass: 1.0ms (5.2% of total)
ival-sub: 1.0ms (5.2% of total)

series6.0ms (0.1%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (* 3 (+ (- (* (* x 3) x) (* x 4)) 1))>
#<alt (+ (- (* (* x 3) x) (* x 4)) 1)>
#<alt (- (* (* x 3) x) (* x 4))>
#<alt (* (* x 3) x)>
#<alt (+ 3 (* x (+ (* x 9) -12)))>
#<alt (* x (+ (* x 9) -12))>
#<alt (+ (* x 9) -12)>
#<alt (* x 9)>
#<alt (* x 3)>
Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* -4 x)>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 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>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 3 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)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x 9)
0.0ms
x
@inf
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms
x
@inf
(- (* (* x 3) x) (* x 4))
0.0ms
x
@0
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms
x
@-inf
(* x 3)

rewrite402.0ms (5.3%)

Algorithm
batch-egg-rewrite
Rules
4560×*-lowering-*.f32
4560×*-lowering-*.f64
3684×/-lowering-/.f32
3684×/-lowering-/.f64
1814×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01659
110954
290950
0828650
Stop Event
iter limit
node limit
Counts
9 → 270
Calls
Call 1
Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(+ (- (* (* x 3) x) (* x 4)) 1)
(- (* (* x 3) x) (* x 4))
(* (* x 3) x)
(+ 3 (* x (+ (* x 9) -12)))
(* x (+ (* x 9) -12))
(+ (* x 9) -12)
(* x 9)
(* x 3)
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) #s(literal 27 binary64)) #s(literal 27 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) #s(literal 9 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))))) (+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64))) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) #s(literal 27 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (+.f64 #s(literal 144 binary64) (-.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x #s(literal -108 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (neg.f64 (+.f64 #s(literal 144 binary64) (-.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x #s(literal -108 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) #s(literal 144 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) #s(literal -5159780352 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (-.f64 #s(literal 2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1259712 binary64)))) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) #s(literal 2985984 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) #s(literal 2985984 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (+.f64 #s(literal 20736 binary64) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal 144 binary64)))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 #s(literal 81 binary64) (*.f64 x x))) #s(literal 20736 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal 144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 144 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 144 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
(*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

simplify187.0ms (2.5%)

Algorithm
egg-herbie
Rules
1724×*-lowering-*.f32
1724×*-lowering-*.f64
1672×--lowering--.f32
1672×--lowering--.f64
1170×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055609
1158588
2416588
31068516
43152516
57147516
08034516
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* -4 x)
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 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
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(+ 3 (* x (- (* 9 x) 12)))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(+ 3 (* x (- (* 9 x) 12)))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(+ 1 (* x (- (* 3 x) 4)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(+ 1 (* x (- (* 3 x) 4)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) 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))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(+ 3 (* x (- (* 9 x) 12)))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(+ 3 (* x (- (* 9 x) 12)))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 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)

eval71.0ms (0.9%)

Compiler

Compiled 11453 to 1110 computations (90.3% saved)

prune65.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New36810378
Fresh000
Picked112
Done000
Total36911380
Accuracy
100.0%
Counts
380 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))))
99.5%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
62.4%
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) x) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
99.0%
(+.f64 #s(literal 3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
53.5%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
49.5%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
49.5%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
49.4%
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
49.4%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
53.2%
#s(literal 3 binary64)
Compiler

Compiled 262 to 176 computations (32.8% saved)

simplify172.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))
cost-diff0
(/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff0
(*.f64 x (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff0
(*.f64 x #s(literal -12 binary64))
cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 9 binary64)))
cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
cost-diff128
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
Rules
1944×fnmadd-define
1824×fnmsub-define
1800×fmsub-define
1562×fma-lowering-fma.f32
1562×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021136
156129
2123120
3247120
4488120
5904120
62210120
76440120
08171120
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ 3 (* x (* x 9))) (* x -12))
(+ 3 (* x (* x 9)))
3
(* x (* x 9))
x
(* x 9)
9
(* x -12)
-12
3
(+ 3 (* x -12))
3
(* x -12)
x
-12
(* x (+ -12 (* x 9)))
x
(+ -12 (* x 9))
-12
(* x 9)
9
(+ 3 (* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))))
3
(* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9))))
x
(/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))
(- 144 (* 81 (* x x)))
144
(* 81 (* x x))
81
(* x x)
(- -12 (* x 9))
-12
(* x 9)
9
Outputs
(+ (+ 3 (* x (* x 9))) (* x -12))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(+ 3 (* x (* x 9)))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
3
#s(literal 3 binary64)
(* x (* x 9))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
x
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* x -12)
(*.f64 x #s(literal -12 binary64))
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
(+ 3 (* x -12))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
3
#s(literal 3 binary64)
(* x -12)
(*.f64 x #s(literal -12 binary64))
x
-12
#s(literal -12 binary64)
(* x (+ -12 (* x 9)))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
x
(+ -12 (* x 9))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
-12
#s(literal -12 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(+ 3 (* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))
3
#s(literal 3 binary64)
(* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9))))
(/.f64 (*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
x
(/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))
(/.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
(- 144 (* 81 (* x x)))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
144
#s(literal 144 binary64)
(* 81 (* x x))
(*.f64 #s(literal 81 binary64) (*.f64 x x))
81
#s(literal 81 binary64)
(* x x)
(*.f64 x x)
(- -12 (* x 9))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
-12
#s(literal -12 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)

localize150.0ms (2%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy99.8%
(*.f64 #s(literal 81 binary64) (*.f64 x x))
accuracy99.8%
(*.f64 x (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
accuracy78.1%
(/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy100.0%
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy99.8%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy100.0%
(*.f64 x #s(literal -12 binary64))
accuracy99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy100.0%
(*.f64 x #s(literal -12 binary64))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
accuracy99.7%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
Results
70.0ms198×0valid
19.0ms25×2valid
16.0ms30×1valid
2.0ms3valid
1.0ms5exit
Compiler

Compiled 139 to 22 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 17.0ms (43.5% of total)
ival-add: 8.0ms (20.5% of total)
ival-sub: 5.0ms (12.8% of total)
backward-pass: 5.0ms (12.8% of total)
ival-div: 3.0ms (7.7% of total)
const: 1.0ms (2.6% of total)

series10.0ms (0.1%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (+ (+ 3 (* x (* x 9))) (* x -12))>
#<alt (+ 3 (* x (* x 9)))>
#<alt (* x (* x 9))>
#<alt (* x 9)>
#<alt (+ 3 (* x -12))>
#<alt (* x -12)>
#<alt (* x (+ -12 (* x 9)))>
#<alt (+ -12 (* x 9))>
#<alt (+ 3 (* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))))>
#<alt (* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9))))>
#<alt (/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))>
#<alt (- 144 (* 81 (* x x)))>
#<alt (* 81 (* x x))>
#<alt (- -12 (* x 9))>
Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 3>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt 144>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt -12>
#<alt (- (* -9 x) 12)>
#<alt (- (* -9 x) 12)>
#<alt (- (* -9 x) 12)>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+ (+ 3 (* x (* x 9))) (* x -12))
1.0ms
x
@0
(* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9))))
0.0ms
x
@inf
(+ 3 (* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))))
0.0ms
x
@0
(+ 3 (* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))))
0.0ms
x
@inf
(* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9))))

rewrite515.0ms (6.8%)

Algorithm
batch-egg-rewrite
Rules
3988×/-lowering-/.f32
3988×/-lowering-/.f64
3496×*-lowering-*.f32
3496×*-lowering-*.f64
2110×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02184
114072
2130270
0843770
Stop Event
iter limit
node limit
Counts
14 → 769
Calls
Call 1
Inputs
(+ (+ 3 (* x (* x 9))) (* x -12))
(+ 3 (* x (* x 9)))
(* x (* x 9))
(* x 9)
(+ 3 (* x -12))
(* x -12)
(* x (+ -12 (* x 9)))
(+ -12 (* x 9))
(+ 3 (* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))))
(* x (/ (- 144 (* 81 (* x x))) (- -12 (* x 9))))
(/ (- 144 (* 81 (* x x))) (- -12 (* x 9)))
(- 144 (* 81 (* x x)))
(* 81 (* x x))
(- -12 (* x 9))
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (*.f64 x #s(literal -12 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))))
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 12 binary64) x)))) (/.f64 (*.f64 #s(literal 144 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 12 binary64) x)))))
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(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
(*.f64 (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))))
(*.f64 (neg.f64 (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)))) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)))) (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 20736 binary64) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 #s(literal 2985984 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)))) (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 20736 binary64) (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 20736 binary64) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 20736 binary64) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 20736 binary64) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 20736 binary64) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 #s(literal 20736 binary64) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))

simplify221.0ms (2.9%)

Algorithm
egg-herbie
Rules
1786×*-lowering-*.f32
1786×*-lowering-*.f64
1366×fma-define
1310×sum3-define
1286×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058873
1164832
2438766
31115766
42516766
56548766
08211766
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
3
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
144
(+ 144 (* -81 (pow x 2)))
(+ 144 (* -81 (pow x 2)))
(+ 144 (* -81 (pow x 2)))
(* -81 (pow x 2))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
-12
(- (* -9 x) 12)
(- (* -9 x) 12)
(- (* -9 x) 12)
(* -9 x)
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -9 x)
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(+ 3 (* x (- (* 9 x) 12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(+ 3 (* x (- (* 9 x) 12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* 9 (pow x 2)))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(+ 3 (* 9 (pow x 2)))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(+ 3 (* 9 (pow x 2)))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(* x (- (* 3 (/ 1 x)) 12))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(- (* 9 x) 12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(- (* 9 x) 12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(+ 3 (* x (- (* 9 x) 12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(+ 3 (* x (- (* 9 x) 12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(- (* 9 x) 12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(- (* 9 x) 12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
144
#s(literal 144 binary64)
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal -81 binary64))))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
-12
#s(literal -12 binary64)
(- (* -9 x) 12)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(- (* -9 x) 12)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(- (* -9 x) 12)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))

eval415.0ms (5.4%)

Compiler

Compiled 28499 to 1976 computations (93.1% saved)

prune101.0ms (1.3%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New9754979
Fresh325
Picked145
Done011
Total97911990
Accuracy
100.0%
Counts
990 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.9%
(/.f64 (*.f64 x (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
49.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
99.5%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
53.5%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
49.5%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
49.5%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
3.8%
(*.f64 x #s(literal -12 binary64))
49.4%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
53.2%
#s(literal 3 binary64)
Compiler

Compiled 150 to 112 computations (25.3% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
cost-diff0
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x x))
cost-diff128
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 9 binary64)))
cost-diff0
(*.f64 x #s(literal -12 binary64))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
Rules
102×*-lowering-*.f32
102×*-lowering-*.f64
68×/-lowering-/.f32
68×/-lowering-/.f64
56×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01785
14382
27382
314582
417682
518082
618582
718682
818782
018782
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (/ 1 (+ (* x 9) -12)))
x
(/ 1 (+ (* x 9) -12))
1
(+ (* x 9) -12)
(* x 9)
9
-12
(* x -12)
x
-12
(* x (* x 9))
x
(* x 9)
9
(* 3 (* 3 (* x x)))
3
(* 3 (* x x))
(* x x)
x
(/ 1 (/ 1 (* x (+ (* x 9) -12))))
1
(/ 1 (* x (+ (* x 9) -12)))
(* x (+ (* x 9) -12))
x
(+ (* x 9) -12)
(* x 9)
9
-12
Outputs
(/ x (/ 1 (+ (* x 9) -12)))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
x
(/ 1 (+ (* x 9) -12))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
1
#s(literal 1 binary64)
(+ (* x 9) -12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
-12
#s(literal -12 binary64)
(* x -12)
(*.f64 x #s(literal -12 binary64))
x
-12
#s(literal -12 binary64)
(* x (* x 9))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
x
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(* 3 (* 3 (* x x)))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
3
#s(literal 3 binary64)
(* 3 (* x x))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* x x)
(*.f64 x x)
x
(/ 1 (/ 1 (* x (+ (* x 9) -12))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
1
#s(literal 1 binary64)
(/ 1 (* x (+ (* x 9) -12)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) x)
(* x (+ (* x 9) -12))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
x
(+ (* x 9) -12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
-12
#s(literal -12 binary64)

localize147.0ms (1.9%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
accuracy99.8%
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x x))
accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
accuracy100.0%
(*.f64 x #s(literal -12 binary64))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy100.0%
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
accuracy99.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
Results
91.0ms203×0valid
15.0ms24×2valid
14.0ms29×1valid
Compiler

Compiled 101 to 18 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 17.0ms (53.8% of total)
ival-div: 9.0ms (28.5% of total)
backward-pass: 3.0ms (9.5% of total)
ival-add: 2.0ms (6.3% of total)
const: 1.0ms (3.2% of total)

series4.0ms (0.1%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ x (/ 1 (+ (* x 9) -12)))>
#<alt (/ 1 (+ (* x 9) -12))>
#<alt (+ (* x 9) -12)>
#<alt (* x 9)>
#<alt (* x -12)>
#<alt (* x (* x 9))>
#<alt (* 3 (* 3 (* x x)))>
#<alt (* 3 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (/ 1 (* x (+ (* x 9) -12))))>
#<alt (/ 1 (* x (+ (* x 9) -12)))>
#<alt (* x (+ (* x 9) -12))>
Outputs
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt -1/12>
#<alt (- (* -1/16 x) 1/12)>
#<alt (- (* x (- (* -3/64 x) 1/16)) 1/12)>
#<alt (- (* x (- (* x (- (* -9/256 x) 3/64)) 1/16)) 1/12)>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* 4/27 (/ 1 x))) x)>
#<alt (/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)>
#<alt (/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 (* 4/27 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/27 (* 16/81 (/ 1 x))) x)) 1/9) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 4/27 (+ (/ 64/243 (pow x 2)) (* 16/81 (/ 1 x)))) x)) 1/9) x))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 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 (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (/ -1/12 x)>
#<alt (/ (- (* -1/16 x) 1/12) x)>
#<alt (/ (- (* x (- (* -3/64 x) 1/16)) 1/12) x)>
#<alt (/ (- (* x (- (* x (- (* -9/256 x) 3/64)) 1/16)) 1/12) x)>
#<alt (/ 1/9 (pow x 2))>
#<alt (/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))) (pow x 2))>
#<alt (/ 1/9 (pow x 2))>
#<alt (/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))>
#<alt (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 16/81 (* 64/243 (/ 1 x))) x)) 4/27) x))) (pow x 2))>
#<alt (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 1 (/ 1 (* x (+ (* x 9) -12))))
0.0ms
x
@inf
(/ 1 (+ (* x 9) -12))
0.0ms
x
@-inf
(/ 1 (+ (* x 9) -12))
0.0ms
x
@-inf
(/ 1 (* x (+ (* x 9) -12)))
0.0ms
x
@0
(/ 1 (+ (* x 9) -12))

rewrite299.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
3108×*-lowering-*.f32
3108×*-lowering-*.f64
1484×/-lowering-/.f32
1484×/-lowering-/.f64
1248×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01761
18658
242058
3355158
0814658
Stop Event
iter limit
node limit
Counts
12 → 849
Calls
Call 1
Inputs
(/ x (/ 1 (+ (* x 9) -12)))
(/ 1 (+ (* x 9) -12))
(+ (* x 9) -12)
(* x 9)
(* x -12)
(* x (* x 9))
(* 3 (* 3 (* x x)))
(* 3 (* x x))
(* x x)
(/ 1 (/ 1 (* x (+ (* x 9) -12))))
(/ 1 (* x (+ (* x 9) -12)))
(* x (+ (* x 9) -12))
Outputs
(+.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -9 binary64)))) (neg.f64 (*.f64 x #s(literal 12 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 12 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 12 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -9 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 12 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 12 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 x #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 12 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (log.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 144 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64))))) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64)))
(fma.f64 x #s(literal -12 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (*.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal -12 binary64) x (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))
(neg.f64 (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal -12 binary64)) (-.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))))
(/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))
(/.f64 (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal -12 binary64)) (-.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -108 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal -12 binary64)) (-.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))))))
(/.f64 (+.f64 #s(literal 144 binary64) (*.f64 #s(literal -81 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (pow.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) x) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1728 binary64) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) x) (*.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64)) #s(literal 1 binary64)))
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(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal -12 binary64)) (-.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) x)
(*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (/.f64 x (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) x))
(*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 x #s(literal -12 binary64)) (-.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))))))
(*.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (sqrt.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (pow.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) (*.f64 (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))) (*.f64 (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 6561 binary64)) (*.f64 (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))) (-.f64 (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))
(*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (*.f64 (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (*.f64 x #s(literal -108 binary64))))) (+.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (*.f64 x #s(literal -108 binary64))))
(*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64))))))

simplify251.0ms (3.3%)

Algorithm
egg-herbie
Rules
2246×*-lowering-*.f32
2246×*-lowering-*.f64
1338×fma-lowering-fma.f32
1338×fma-lowering-fma.f64
1304×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
093768
1235756
2523755
31135753
42511741
57090741
08281741
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
-1/12
(- (* -1/16 x) 1/12)
(- (* x (- (* -3/64 x) 1/16)) 1/12)
(- (* x (- (* x (- (* -9/256 x) 3/64)) 1/16)) 1/12)
(/ 1/9 x)
(/ (+ 1/9 (* 4/27 (/ 1 x))) x)
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))) x)
(/ 1/9 x)
(/ (+ 1/9 (* 4/27 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/27 (* 16/81 (/ 1 x))) x)) 1/9) x))
(* -1 (/ (- (* -1 (/ (+ 4/27 (+ (/ 64/243 (pow x 2)) (* 16/81 (/ 1 x)))) x)) 1/9) x))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 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)
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(/ -1/12 x)
(/ (- (* -1/16 x) 1/12) x)
(/ (- (* x (- (* -3/64 x) 1/16)) 1/12) x)
(/ (- (* x (- (* x (- (* -9/256 x) 3/64)) 1/16)) 1/12) x)
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))) (pow x 2))
(/ 1/9 (pow x 2))
(/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))
(/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 16/81 (* 64/243 (/ 1 x))) x)) 4/27) x))) (pow x 2))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
Outputs
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
-1/12
#s(literal -1/12 binary64)
(- (* -1/16 x) 1/12)
(+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal -1/16 binary64)))
(- (* x (- (* -3/64 x) 1/16)) 1/12)
(+.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal -1/16 binary64) (*.f64 x #s(literal -3/64 binary64)))))
(- (* x (- (* x (- (* -9/256 x) 3/64)) 1/16)) 1/12)
(+.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal -1/16 binary64) (*.f64 x (+.f64 #s(literal -3/64 binary64) (*.f64 x #s(literal -9/256 binary64)))))))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* 4/27 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) x)
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal 16/81 binary64) x)) x)) x)
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 #s(literal -16/81 binary64) (/.f64 #s(literal -64/243 binary64) x)) x)) x)) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (+ 1/9 (* 4/27 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/27 (* 16/81 (/ 1 x))) x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal 16/81 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/27 (+ (/ 64/243 (pow x 2)) (* 16/81 (/ 1 x)))) x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 #s(literal -16/81 binary64) (/.f64 #s(literal -64/243 binary64) x)) x)) x)) x)
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(/ -1/12 x)
(/.f64 #s(literal -1/12 binary64) x)
(/ (- (* -1/16 x) 1/12) x)
(+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/12 binary64) x))
(/ (- (* x (- (* -3/64 x) 1/16)) 1/12) x)
(+.f64 (*.f64 x #s(literal -3/64 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/12 binary64) x)))
(/ (- (* x (- (* x (- (* -9/256 x) 3/64)) 1/16)) 1/12) x)
(+.f64 #s(literal -1/16 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -3/64 binary64) (*.f64 x #s(literal -9/256 binary64)))) (/.f64 #s(literal -1/12 binary64) x)))
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) (*.f64 x x))
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal 16/81 binary64) x)) x)) (*.f64 x x))
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 #s(literal -16/81 binary64) (/.f64 #s(literal -64/243 binary64) x)) x)) x)) (*.f64 x x))
(/ 1/9 (pow x 2))
(/.f64 #s(literal 1/9 binary64) (*.f64 x x))
(/ (+ 1/9 (* 4/27 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x)) (*.f64 x x))
(/ (+ 1/9 (+ (/ 16/81 (pow x 2)) (* 4/27 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal 16/81 binary64) x)) x)) (*.f64 x x))
(/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 16/81 (* 64/243 (/ 1 x))) x)) 4/27) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 4/27 binary64) (/.f64 (+.f64 #s(literal -16/81 binary64) (/.f64 #s(literal -64/243 binary64) x)) x)) x)) (*.f64 x x))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))

eval143.0ms (1.9%)

Compiler

Compiled 22234 to 2272 computations (89.8% saved)

prune137.0ms (1.8%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New117741181
Fresh101
Picked415
Done055
Total1182101192
Accuracy
100.0%
Counts
1192 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
3.8%
(/.f64 x #s(literal -1/12 binary64))
99.5%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
53.5%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
49.5%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
49.4%
(*.f64 x (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
49.5%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
49.5%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
53.2%
#s(literal 3 binary64)
Compiler

Compiled 68 to 51 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
cost-diff0
(/.f64 x #s(literal -1/12 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 9 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff128
(*.f64 x (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
Rules
38×/-lowering-/.f32
38×/-lowering-/.f64
36×*-lowering-*.f32
36×*-lowering-*.f64
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
12538
23138
34038
44938
55738
66638
76638
06638
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (/ 9 (/ 1 x)))
x
(/ 9 (/ 1 x))
9
(/ 1 x)
1
(* (* x x) 9)
(* x x)
x
9
(/ x -1/12)
x
-1/12
(/ x (/ 1/9 x))
x
(/ 1/9 x)
1/9
Outputs
(* x (/ 9 (/ 1 x)))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
x
(/ 9 (/ 1 x))
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(* (* x x) 9)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)
(/ x -1/12)
(/.f64 x #s(literal -1/12 binary64))
x
-1/12
#s(literal -1/12 binary64)
(/ x (/ 1/9 x))
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
x
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
1/9
#s(literal 1/9 binary64)

localize142.0ms (1.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
accuracy99.7%
(/.f64 #s(literal 1/9 binary64) x)
accuracy99.7%
(/.f64 x #s(literal -1/12 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.9%
(*.f64 x (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy99.7%
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x))
Results
98.0ms109×5exit
23.0ms147×0valid
Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
...c/correct-round.rkt:119:19: 29.0ms (38.1% of total)
ival-div: 27.0ms (35.5% of total)
backward-pass: 10.0ms (13.1% of total)
ival-mult: 9.0ms (11.8% of total)
const: 1.0ms (1.3% of total)

series2.0ms (0%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (* x (/ 9 (/ 1 x)))>
#<alt (/ 9 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* (* x x) 9)>
#<alt (* x x)>
#<alt (/ x -1/12)>
#<alt (/ x (/ 1/9 x))>
#<alt (/ 1/9 x)>
Outputs
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (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 (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 1/9 x)
0.0ms
x
@-inf
(/ 1 x)
0.0ms
x
@inf
(/ 1/9 x)
0.0ms
x
@-inf
(/ 1/9 x)
0.0ms
x
@0
(/ 1 x)

rewrite358.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
1774×*-lowering-*.f32
1774×*-lowering-*.f64
1268×sum4-define
1226×/-lowering-/.f32
1226×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
16229
223129
3100629
4524529
0805529
Stop Event
iter limit
node limit
Counts
8 → 809
Calls
Call 1
Inputs
(* x (/ 9 (/ 1 x)))
(/ 9 (/ 1 x))
(/ 1 x)
(* (* x x) 9)
(* x x)
(/ x -1/12)
(/ x (/ 1/9 x))
(/ 1/9 x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(+.f64 (*.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 x #s(literal 1/9 binary64)))))
(exp.f64 (+.f64 (log.f64 (/.f64 x #s(literal 1/9 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/9 binary64) x))))
(exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal 1/9 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1/9 binary64))
(/.f64 (*.f64 x x) #s(literal -1/9 binary64))
(/.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x))
(/.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)))
(/.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -3/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/9 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/9 binary64)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/9 binary64) x))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 x x)))
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/9 binary64) x))
(/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 9 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
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(pow.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
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(*.f64 (/.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal 1/9 binary64)) x)
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(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))
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(/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
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(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x))
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(/.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 1/9 binary64)) (/.f64 x #s(literal 1/9 binary64))) #s(literal -1/2 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
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(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
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(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -9 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/9 binary64)))
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
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(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 x #s(literal 1/9 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)))
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(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
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(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
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(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -9 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -9 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/9 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))

simplify154.0ms (2%)

Algorithm
egg-herbie
Rules
18×*-lowering-*.f32
18×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012348
119348
221348
021348
Stop Event
iter limit
saturated
Counts
96 → 96
Calls
Call 1
Inputs
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(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)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
Outputs
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 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)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)

eval239.0ms (3.1%)

Compiler

Compiled 9320 to 1211 computations (87% saved)

prune104.0ms (1.4%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New9041905
Fresh000
Picked044
Done066
Total90411915
Accuracy
100.0%
Counts
915 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
4.4%
(/.f64 x #s(literal 1/12 binary64))
3.8%
(/.f64 x #s(literal -1/12 binary64))
99.5%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
53.5%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
49.5%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
49.4%
(*.f64 x (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
49.5%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
49.5%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
53.2%
#s(literal 3 binary64)
Compiler

Compiled 272 to 131 computations (51.8% saved)

regimes153.0ms (2%)

Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(/.f64 x #s(literal -1/12 binary64))
(/.f64 x #s(literal 1/12 binary64))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 3 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)) x) (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))))
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
Calls

4 calls:

6.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
6.0ms
x
5.0ms
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
5.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
99.9%1(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes5.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(/.f64 x #s(literal -1/12 binary64))
(/.f64 x #s(literal 1/12 binary64))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
Outputs
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(/.f64 x #s(literal -1/12 binary64))
(/.f64 x #s(literal 1/12 binary64))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(/.f64 x (/.f64 #s(literal 1/9 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
Outputs
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(/.f64 x #s(literal -1/12 binary64))
(/.f64 x #s(literal 1/12 binary64))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
Outputs
(*.f64 x (*.f64 x #s(literal 9 binary64)))
#s(literal 3 binary64)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(/.f64 x #s(literal -1/12 binary64))
(/.f64 x #s(literal 1/12 binary64))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
Outputs
(*.f64 x (*.f64 x #s(literal 9 binary64)))
#s(literal 3 binary64)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -33.2b remaining (-110.6%)

Threshold costs -33.2b (-110.6%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(/.f64 x #s(literal -1/12 binary64))
(/.f64 x #s(literal 1/12 binary64))
Outputs
#s(literal 3 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
53.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch78.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
5.1483908409299783e-8
96.33556320185215
29.0ms
-2.4902133193106892
-3.0747364306734503e-12
Results
60.0ms304×0valid
Compiler

Compiled 322 to 260 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 49.0ms (92.5% of total)
ival-sub: 2.0ms (3.8% of total)
ival-add: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.1483908409299783e-8
96.33556320185215
15.0ms
-2.4902133193106892
-3.0747364306734503e-12
Results
21.0ms304×0valid
Compiler

Compiled 284 to 222 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (71.5% of total)
ival-sub: 2.0ms (14.3% of total)
ival-add: 2.0ms (14.3% of total)
const: 1.0ms (7.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.1483908409299783e-8
96.33556320185215
17.0ms
-2.4902133193106892
-3.0747364306734503e-12
Results
23.0ms304×0valid
Compiler

Compiled 208 to 165 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (64.5% of total)
ival-sub: 3.0ms (19.4% of total)
ival-add: 2.0ms (12.9% of total)
const: 1.0ms (6.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.1483908409299783e-8
96.33556320185215
18.0ms
-2.4902133193106892
-3.0747364306734503e-12
Results
24.0ms304×0valid
Compiler

Compiled 208 to 165 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 12.0ms (73.9% of total)
ival-sub: 2.0ms (12.3% of total)
ival-add: 2.0ms (12.3% of total)
const: 1.0ms (6.2% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03388
15188
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(if (<=.f64 x #s(literal -5134103575202365/9007199254740992 binary64)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -3422735716801577/2251799813685248 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -5134103575202365/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -5134103575202365/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
#s(literal 3 binary64)
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(if (<=.f64 x #s(literal -5134103575202365/9007199254740992 binary64)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -5134103575202365/9007199254740992 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(if (<=.f64 x #s(literal -3422735716801577/2251799813685248 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -3422735716801577/2251799813685248 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 #s(literal 9 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -5134103575202365/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -5134103575202365/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -5134103575202365/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
#s(literal 3 binary64)

soundness1.3s (17.4%)

Rules
3108×*-lowering-*.f32
3108×*-lowering-*.f64
2332×fnmadd-define
1868×fmsub-define
1800×sum5-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01012
13310
2839
32099
44337
57147
612997
728447
858887
975207
1079317
080017
01761
18658
242058
3355158
0814658
055609
1158588
2416588
31068516
43152516
57147516
08034516
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 197 to 105 computations (46.7% saved)

preprocess70.0ms (0.9%)

Compiler

Compiled 250 to 100 computations (60% saved)

end0.0ms (0%)

Profiling

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