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

Time bar (total: 8.6s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 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)

sample1.1s (13%)

Results
913.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 597.0ms
ival-mult: 396.0ms (66.3% of total)
ival-add: 104.0ms (17.4% of total)
ival-sub: 75.0ms (12.6% of total)
const: 20.0ms (3.4% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess273.0ms (3.2%)

Algorithm
2×egg-herbie
Rules
2716×fnmadd-define
2686×fnmsub-define
2586×fnmadd-define
2288×fmm-def
1868×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01842
17332
223428
387425
4283624
5515924
6609324
7625824
8626024
9626021
01012
13310
2839
32108
44347
57157
612847
728317
858777
975097
1079207
081177
Stop Event
1×iter limit
1×node limit
1×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)

explain115.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
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
72.0ms512×0valid
Compiler

Compiled 114 to 32 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (62.6% of total)
ival-sub: 3.0ms (14.4% of total)
ival-add: 3.0ms (14.4% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
▶99.8%
(*.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)))
Compiler

Compiled 24 to 18 computations (25% saved)

simplify137.0ms (1.6%)

Algorithm
1×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-diff0
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
✓cost-diff128
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
✓cost-diff128
(*.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
1708×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01674
15068
212558
326458
449958
575258
6132258
7286658
8592058
9755258
10796358
0800758
Stop Event
1×iter limit
1×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 #s(literal 12 binary64) (*.f64 x #s(literal -9 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 x (*.f64 #s(literal 3 binary64) 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 #s(literal 12 binary64) (*.f64 x #s(literal -9 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)

localize108.0ms (1.2%)

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))
✓accuracy99.7%
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy100.0%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
✓accuracy99.9%
(*.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)
Results
68.0ms229×0valid
10.0ms14×2valid
5.0ms13×1valid
Compiler

Compiled 78 to 17 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 13.0ms (58.9% of total)
ival-add: 4.0ms (18.1% of total)
backward-pass: 2.0ms (9.1% of total)
ival-sub: 2.0ms (9.1% of total)
const: 1.0ms (4.5% 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))>
#<alt (+ (- (* (* x 3) x) (* x 4)) 1)>
#<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 (* -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 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 (* 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
@0
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms
x
@inf
(* (* x 3) x)
0.0ms
x
@inf
(- (* (* x 3) x) (* x 4))

rewrite320.0ms (3.7%)

Algorithm
1×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
291449
0832849
Stop Event
1×iter limit
1×node limit
Counts
9 → 270
Calls
Call 1
Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(- (* (* x 3) x) (* x 4))
(+ (- (* (* x 3) x) (* x 4)) 1)
(* (* 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 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x))))) #s(literal -5159780352 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)))) (-.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 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)))) #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 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)))) #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))

simplify210.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1660×--lowering--.f32
1660×--lowering--.f64
1608×*-lowering-*.f32
1608×*-lowering-*.f64
1184×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055576
1158520
2417520
31073494
43157494
57190494
08021494
Stop Event
1×iter limit
1×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))))
(* -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))))
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))))
(* 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)))))
(* -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)))
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))))
(* 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)

eval55.0ms (0.6%)

Compiler

Compiled 11453 to 1112 computations (90.3% saved)

prune56.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3699378
Fresh000
Picked112
Done000
Total37010380
Accuracy
100.0%
Counts
380 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
▶99.9%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
▶92.0%
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) x) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
✓99.8%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
▶51.4%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
▶51.7%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
51.4%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
51.6%
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
51.3%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
▶51.3%
#s(literal 3 binary64)
Compiler

Compiled 172 to 126 computations (26.7% saved)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64))
✓cost-diff0
(*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) x)
✓cost-diff0
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) x) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
✓cost-diff0
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) x) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 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 x)
✓cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
✓cost-diff128
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
Rules
202×fma-define
196×fma-lowering-fma.f32
196×fma-lowering-fma.f64
138×*-lowering-*.f32
138×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022115
152109
291108
3129108
4183108
5252108
6270108
7293108
8295108
0295108
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (+ 3 (* 9 (* x x))) (* x -12))
(+ 3 (* 9 (* x x)))
3
(* 9 (* x x))
9
(* x x)
x
(* 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 (/ (* (+ (* 81 (* x x)) -144) x) (+ (* x 9) 12)))
3
(/ (* (+ (* 81 (* x x)) -144) x) (+ (* x 9) 12))
(* (+ (* 81 (* x x)) -144) x)
(+ (* 81 (* x x)) -144)
(* 81 (* x x))
81
(* x x)
x
-144
(+ (* x 9) 12)
(* x 9)
9
12
Outputs
(+ (+ 3 (* 9 (* x x))) (* x -12))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))))
(+ 3 (* 9 (* x x)))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
3
#s(literal 3 binary64)
(* 9 (* x x))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
9
#s(literal 9 binary64)
(* x x)
(*.f64 x x)
x
(* 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 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
x
(+ -12 (* x 9))
(+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))
-12
#s(literal -12 binary64)
(* x 9)
(*.f64 #s(literal 9 binary64) x)
9
#s(literal 9 binary64)
(+ 3 (/ (* (+ (* 81 (* x x)) -144) x) (+ (* x 9) 12)))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))))
3
#s(literal 3 binary64)
(/ (* (+ (* 81 (* x x)) -144) x) (+ (* x 9) 12))
(/.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))) (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64)))
(* (+ (* 81 (* x x)) -144) x)
(*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)))
(+ (* 81 (* x x)) -144)
(+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64))
(* 81 (* x x))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
81
#s(literal 81 binary64)
(* x x)
(*.f64 x x)
x
-144
#s(literal -144 binary64)
(+ (* x 9) 12)
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(* x 9)
(*.f64 #s(literal 9 binary64) x)
9
#s(literal 9 binary64)
12
#s(literal 12 binary64)

localize294.0ms (3.4%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
✓accuracy99.9%
(*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) x)
✓accuracy99.7%
(*.f64 #s(literal 81 binary64) (*.f64 x x))
✓accuracy91.8%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) x) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 9 binary64))
✓accuracy100.0%
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
✓accuracy99.7%
(*.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 x)
✓accuracy100.0%
(*.f64 x #s(literal -12 binary64))
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
✓accuracy99.7%
(*.f64 #s(literal 9 binary64) (*.f64 x x))
Results
70.0ms183×0valid
62.0ms30×2valid
37.0ms38×1valid
6.0ms5×3valid
Compiler

Compiled 135 to 23 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
backward-pass: 21.0ms (38.9% of total)
ival-mult: 17.0ms (31.5% of total)
ival-add: 12.0ms (22.2% of total)
ival-div: 3.0ms (5.6% of total)
const: 1.0ms (1.9% of total)

series10.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (+ (+ 3 (* 9 (* x x))) (* x -12))>
#<alt (+ 3 (* 9 (* x x)))>
#<alt (* 9 (* x x))>
#<alt (* x x)>
#<alt (+ 3 (* x -12))>
#<alt (* x -12)>
#<alt (* x (+ -12 (* x 9)))>
#<alt (+ -12 (* x 9))>
#<alt (* x 9)>
#<alt (+ 3 (/ (* (+ (* 81 (* x x)) -144) x) (+ (* x 9) 12)))>
#<alt (/ (* (+ (* 81 (* x x)) -144) x) (+ (* x 9) 12))>
#<alt (* (+ (* 81 (* x x)) -144) x)>
#<alt (+ (* 81 (* x x)) -144)>
#<alt (* 81 (* x x))>
#<alt (+ (* x 9) 12)>
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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 3>
#<alt (+ 3 (* -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 (* 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 (* 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 (* -144 x)>
#<alt (* x (- (* 81 (pow x 2)) 144))>
#<alt (* x (- (* 81 (pow x 2)) 144))>
#<alt (* x (- (* 81 (pow x 2)) 144))>
#<alt (* 81 (pow x 3))>
#<alt (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))>
#<alt (* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))>
#<alt (* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))>
#<alt -144>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (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 (* 81 (pow x 2))>
#<alt 12>
#<alt (+ 12 (* 9 x))>
#<alt (+ 12 (* 9 x))>
#<alt (+ 12 (* 9 x))>
#<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 (* x (+ 9 (* 12 (/ 1 x))))>
#<alt (* x (+ 9 (* 12 (/ 1 x))))>
#<alt (* x (+ 9 (* 12 (/ 1 x))))>
Calls

45 calls:

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

rewrite388.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
3620×/-lowering-/.f32
3620×/-lowering-/.f64
3222×*-lowering-*.f32
3222×*-lowering-*.f64
2194×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02280
114473
2132071
0844571
Stop Event
1×iter limit
1×node limit
Counts
15 → 596
Calls
Call 1
Inputs
(+ (+ 3 (* 9 (* x x))) (* x -12))
(+ 3 (* 9 (* x x)))
(* 9 (* x x))
(* x x)
(+ 3 (* x -12))
(* x -12)
(* x (+ -12 (* x 9)))
(+ -12 (* x 9))
(* x 9)
(+ 3 (/ (* (+ (* 81 (* x x)) -144) x) (+ (* x 9) 12)))
(/ (* (+ (* 81 (* x x)) -144) x) (+ (* x 9) 12))
(* (+ (* 81 (* x x)) -144) x)
(+ (* 81 (* x x)) -144)
(* 81 (* x x))
(+ (* x 9) 12)
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))))
(+.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 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))) #s(literal 3 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 (*.f64 x x) #s(literal 144 binary64)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 12 binary64) x)))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))))) (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (-.f64 (*.f64 x #s(literal -12 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))))) (/.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 x #s(literal -12 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))))))
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(fma.f64 #s(literal 9 binary64) x #s(literal 12 binary64))
(fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))
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simplify210.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2196×*-lowering-*.f32
2196×*-lowering-*.f64
1578×fma-define
1436×sum5-define
1400×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062951
1181813
2486769
31373769
43256769
57438769
08143769
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -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)))
(* 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 (* 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))))
(* -144 x)
(* x (- (* 81 (pow x 2)) 144))
(* x (- (* 81 (pow x 2)) 144))
(* x (- (* 81 (pow x 2)) 144))
(* 81 (pow x 3))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 (pow x 3))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
-144
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (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))
(* 81 (pow x 2))
12
(+ 12 (* 9 x))
(+ 12 (* 9 x))
(+ 12 (* 9 x))
(* 9 x)
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* 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 #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)))))
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)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -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 #s(literal -12 binary64) x)
(* 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 #s(literal -12 binary64) x)
(* -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 #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)
(* -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
#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 #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))))
(* -144 x)
(*.f64 x #s(literal -144 binary64))
(* x (- (* 81 (pow x 2)) 144))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
(* x (- (* 81 (pow x 2)) 144))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
(* x (- (* 81 (pow x 2)) 144))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
(* 81 (pow x 3))
(*.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
(* 81 (pow x 3))
(*.f64 #s(literal 81 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))
-144
#s(literal -144 binary64)
(- (* 81 (pow x 2)) 144)
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(- (* 81 (pow x 2)) 144)
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(- (* 81 (pow x 2)) 144)
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
12
#s(literal 12 binary64)
(+ 12 (* 9 x))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(+ 12 (* 9 x))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(+ 12 (* 9 x))
(+.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))
(* 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))

eval106.0ms (1.2%)

Compiler

Compiled 19713 to 1540 computations (92.2% saved)

prune344.0ms (4%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New8193822
Fresh134
Picked145
Done011
Total82111832
Accuracy
100.0%
Counts
832 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
▶51.7%
(+.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
✓99.8%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓51.4%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
51.7%
(*.f64 (/.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))
✓51.7%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
▶51.4%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
▶3.8%
(*.f64 x #s(literal -12 binary64))
▶51.6%
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
▶51.3%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
✓51.3%
#s(literal 3 binary64)
Compiler

Compiled 146 to 106 computations (27.4% saved)

simplify29.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 3 binary64) x)
✓cost-diff0
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
✓cost-diff128
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
✓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 x)
✓cost-diff0
(*.f64 #s(literal 9 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x #s(literal -12 binary64))
✓cost-diff128
(+.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
Rules
84×fma-define
72×*-lowering-*.f32
72×*-lowering-*.f64
50×fma-lowering-fma.f32
50×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01770
14068
29166
313266
413466
013466
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x -12) (* 9 (* x x)))
(* x -12)
x
-12
(* 9 (* x x))
9
(* x x)
(* x -12)
x
-12
(* x (* x 9))
x
(* x 9)
9
(* 3 (* 3 (* x x)))
3
(* 3 (* x x))
(* x x)
x
(* 3 (* x (+ -4 (* 3 x))))
3
(* x (+ -4 (* 3 x)))
x
(+ -4 (* 3 x))
-4
(* 3 x)
Outputs
(+ (* x -12) (* 9 (* x x)))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x -12)
(*.f64 x #s(literal -12 binary64))
x
-12
#s(literal -12 binary64)
(* 9 (* x x))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
9
#s(literal 9 binary64)
(* x x)
(*.f64 x x)
(* 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
(* 3 (* x (+ -4 (* 3 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
3
#s(literal 3 binary64)
(* x (+ -4 (* 3 x)))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
x
(+ -4 (* 3 x))
(+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))
-4
#s(literal -4 binary64)
(* 3 x)
(*.f64 x #s(literal 3 binary64))

localize138.0ms (1.6%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
✓accuracy99.9%
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
✓accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x #s(literal 9 binary64))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -12 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal -12 binary64))
✓accuracy99.8%
(+.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
✓accuracy99.7%
(*.f64 #s(literal 9 binary64) (*.f64 x x))
Results
88.0ms216×0valid
15.0ms18×2valid
12.0ms22×1valid
Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 29.0ms (78.8% of total)
backward-pass: 4.0ms (10.9% of total)
ival-add: 3.0ms (8.2% of total)
const: 1.0ms (2.7% of total)

series3.0ms (0%)

Counts
12 → 144
Calls
Call 1
Inputs
#<alt (+ (* x -12) (* 9 (* x x)))>
#<alt (* x -12)>
#<alt (* 9 (* x x))>
#<alt (* x x)>
#<alt (* x (* x 9))>
#<alt (* x 9)>
#<alt (* 3 (* 3 (* x x)))>
#<alt (* 3 (* x x))>
#<alt (* 3 (* x (+ -4 (* 3 x))))>
#<alt (* x (+ -4 (* 3 x)))>
#<alt (+ -4 (* 3 x))>
#<alt (* 3 x)>
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 (* -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 (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 (* 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 (* 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 (* -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 (* -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 -4>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<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

36 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* 3 (* x (+ -4 (* 3 x))))
0.0ms
x
@-inf
(* 3 (* x (+ -4 (* 3 x))))
0.0ms
x
@0
(* 3 (* x (+ -4 (* 3 x))))
0.0ms
x
@0
(+ (* x -12) (* 9 (* x x)))
0.0ms
x
@inf
(+ (* x -12) (* 9 (* x x)))

rewrite282.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3612×*-lowering-*.f32
3612×*-lowering-*.f64
1560×/-lowering-/.f32
1560×/-lowering-/.f64
1476×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01753
16851
255949
3696949
0827449
Stop Event
1×iter limit
1×node limit
Counts
12 → 367
Calls
Call 1
Inputs
(+ (* x -12) (* 9 (* x x)))
(* x -12)
(* 9 (* x x))
(* x x)
(* x (* x 9))
(* x 9)
(* 3 (* 3 (* x x)))
(* 3 (* x x))
(* 3 (* x (+ -4 (* 3 x))))
(* x (+ -4 (* 3 x)))
(+ -4 (* 3 x))
(* 3 x)
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 (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))) (neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 81 binary64) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 81 binary64) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(fma.f64 x #s(literal -12 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal -12 binary64) x (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.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 #s(literal 9 binary64)) x (*.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 #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (*.f64 (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 20736 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (*.f64 (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))))) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))))
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(/.f64 (+.f64 #s(literal 4096 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) (+.f64 #s(literal -64 binary64) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 4096 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -16 binary64))))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -16 binary64)) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64))) (*.f64 (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (*.f64 (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (*.f64 (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -262144 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 4096 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -64 binary64) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 4096 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 16 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))) #s(literal 64 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -16 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))) (*.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))) (+.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -262144 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))) (+.f64 #s(literal 4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 4096 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))) (+.f64 #s(literal -64 binary64) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 #s(literal 4096 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))) (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 16 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) (+.f64 #s(literal -64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))) (+.f64 #s(literal 4096 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 #s(literal 256 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))) #s(literal 16 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -64 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))) (-.f64 #s(literal 256 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 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (+.f64 #s(literal -64 binary64) (*.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 16 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify310.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
2088×fma-lowering-fma.f32
2088×fma-lowering-fma.f64
1930×*-lowering-*.f32
1930×*-lowering-*.f64
1788×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032628
179562
2164562
3380562
4870562
51563562
64382562
77701562
08524562
Stop Event
1×iter limit
1×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))))
(* -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))
(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)
(* 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)
(* 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))
(* -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))))
(* -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))))
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* 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
(* -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))))
(* -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))
(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)
(* 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 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 (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 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* -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))))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
-4
#s(literal -4 binary64)
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

eval80.0ms (0.9%)

Compiler

Compiled 11102 to 760 computations (93.2% saved)

prune34.0ms (0.4%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New5443547
Fresh011
Picked145
Done055
Total54513558
Accuracy
100.0%
Counts
558 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.6%
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
✓99.9%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
✓51.7%
(+.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
✓99.8%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓51.4%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
▶51.7%
(*.f64 (/.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))
▶51.4%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
▶51.3%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓51.7%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
✓51.4%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
✓3.8%
(*.f64 x #s(literal -12 binary64))
✓51.3%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
✓51.3%
#s(literal 3 binary64)
Compiler

Compiled 108 to 77 computations (28.7% saved)

simplify49.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff256
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
✓cost-diff0
(*.f64 #s(literal 9 binary64) x)
✓cost-diff0
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
✓cost-diff0
(/.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64)))
✓cost-diff0
(*.f64 (/.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 9 binary64))
✓cost-diff0
(*.f64 x #s(literal 3 binary64))
✓cost-diff128
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
Rules
360×*-lowering-*.f32
360×*-lowering-*.f64
250×fma-define
202×fma-lowering-fma.f32
202×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02289
15783
211882
322781
428281
533081
634881
736281
837581
947081
1053381
1157881
1258081
058081
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* x 3) (* x 3))
(* x 3)
x
3
(* (* x x) 9)
(* x x)
x
9
(* (/ x (+ (* 9 x) 12)) (+ -144 (* x (* x 81))))
(/ x (+ (* 9 x) 12))
x
(+ (* 9 x) 12)
(* 9 x)
9
12
(+ -144 (* x (* x 81)))
-144
(* x (* x 81))
(* x 81)
81
(/ (* x 3) (/ 1 (+ -4 (* x 3))))
(* x 3)
x
3
(/ 1 (+ -4 (* x 3)))
1
(+ -4 (* x 3))
-4
Outputs
(* (* x 3) (* x 3))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(* (* x x) 9)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)
(* (/ x (+ (* 9 x) 12)) (+ -144 (* x (* x 81))))
(*.f64 (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))
(/ x (+ (* 9 x) 12))
(/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
x
(+ (* 9 x) 12)
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
12
#s(literal 12 binary64)
(+ -144 (* x (* x 81)))
(+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))
-144
#s(literal -144 binary64)
(* x (* x 81))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* x 81)
(*.f64 x #s(literal 81 binary64))
81
#s(literal 81 binary64)
(/ (* x 3) (/ 1 (+ -4 (* x 3))))
(*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(/ 1 (+ -4 (* x 3)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
1
#s(literal 1 binary64)
(+ -4 (* x 3))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize168.0ms (1.9%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.9%
(+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 81 binary64)))
✓accuracy99.7%
(*.f64 (/.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))
✓accuracy99.6%
(/.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.6%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
Results
55.0ms195×0valid
42.0ms34×1valid
22.0ms27×2valid
Compiler

Compiled 104 to 23 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 18.0ms (46.8% of total)
ival-div: 8.0ms (20.8% of total)
ival-add: 6.0ms (15.6% of total)
backward-pass: 6.0ms (15.6% of total)
const: 1.0ms (2.6% of total)

series3.0ms (0%)

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

36 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 1 (+ -4 (* x 3)))
0.0ms
x
@inf
(/ 1 (+ -4 (* x 3)))
0.0ms
x
@-inf
(/ 1 (+ -4 (* x 3)))
0.0ms
x
@inf
(/ x (+ (* 9 x) 12))
0.0ms
x
@-inf
(/ x (+ (* 9 x) 12))

rewrite400.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
4588×*-lowering-*.f32
4588×*-lowering-*.f64
3152×/-lowering-/.f32
3152×/-lowering-/.f64
1466×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02267
112351
293151
0855451
Stop Event
1×iter limit
1×node limit
Counts
12 → 939
Calls
Call 1
Inputs
(* (* x 3) (* x 3))
(* x 3)
(* (* x x) 9)
(* x x)
(* (/ x (+ (* 9 x) 12)) (+ -144 (* x (* x 81))))
(/ x (+ (* 9 x) 12))
(+ (* 9 x) 12)
(* 9 x)
(/ (* x 3) (/ 1 (+ -4 (* x 3))))
(/ 1 (+ -4 (* x 3)))
(+ -4 (* x 3))
(* x (* x 81))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64)))
(neg.f64 (*.f64 x #s(literal -3 binary64)))
(/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal -12 binary64) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (*.f64 #s(literal -12 binary64) x) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(+.f64 (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64))) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64))) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64))) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64)))) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64))) (*.f64 x (*.f64 x #s(literal 81 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 x #s(literal 9 binary64))) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) #s(literal -12 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -12 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -12 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64)))) (*.f64 (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal 1728 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) (*.f64 #s(literal -12 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)) (/.f64 #s(literal 144 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)))) (neg.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 20736 binary64) (-.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (-.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)))
(-.f64 (/.f64 (/.f64 #s(literal 20736 binary64) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x))) (/.f64 (-.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x))) (/.f64 (-.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 #s(literal -12 binary64) x))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) #s(literal -144 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 x (*.f64 (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -12 binary64) x))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -12 binary64) x))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 #s(literal -12 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 81 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 #s(literal -12 binary64) x))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (*.f64 #s(literal -12 binary64) x))
(fma.f64 (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) #s(literal -144 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)))
(fma.f64 (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 #s(literal -144 binary64) (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)))
(fma.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(fma.f64 #s(literal -12 binary64) x (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 #s(literal -144 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 (/.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) x)) (*.f64 x #s(literal 81 binary64)) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (*.f64 x x)) #s(literal 81 binary64) (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (*.f64 x #s(literal 81 binary64))) x (/.f64 (*.f64 x #s(literal -144 binary64)) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(neg.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))))
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))))
(neg.f64 (*.f64 (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (/.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(neg.f64 (/.f64 (*.f64 x (-.f64 #s(literal 144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.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 x (*.f64 (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
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(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -16 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))) (*.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))) (+.f64 (/.f64 #s(literal 16 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64))))))
(pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)))
(*.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(*.f64 (+.f64 #s(literal -64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 12 binary64) x)))))
(*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)))) #s(literal -16 binary64))))
(*.f64 (+.f64 #s(literal -16 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal -64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))))
(*.f64 (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 9 binary64))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal 81 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 81 binary64)) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) #s(literal 9 binary64))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 81 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 81 binary64))) x)

simplify243.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2298×fma-lowering-fma.f32
2298×fma-lowering-fma.f64
1940×fnmadd-define
1738×fmsub-define
1616×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0132725
1370645
2838641
31814637
44330637
08234637
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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)
(* 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)
(* x (+ 1/12 (* -1/16 x)))
(* x (+ 1/12 (* x (- (* 3/64 x) 1/16))))
(* x (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))))
1/9
(- 1/9 (* 4/27 (/ 1 x)))
(- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x)))
(- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))
1/9
(- 1/9 (* 4/27 (/ 1 x)))
(+ 1/9 (* -1 (/ (- 4/27 (* 16/81 (/ 1 x))) x)))
(+ 1/9 (* -1 (/ (+ 4/27 (* -1 (/ (- 16/81 (* 64/243 (/ 1 x))) x))) x)))
12
(+ 12 (* 9 x))
(+ 12 (* 9 x))
(+ 12 (* 9 x))
(* 9 x)
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* 9 x)
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* x (+ 9 (* 12 (/ 1 x))))
(* 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)
(* 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))))
-1/4
(- (* -3/16 x) 1/4)
(- (* x (- (* -9/64 x) 3/16)) 1/4)
(- (* x (- (* x (- (* -27/256 x) 9/64)) 3/16)) 1/4)
(/ 1/3 x)
(/ (+ 1/3 (* 4/9 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/27 (pow x 2)) (* 4/9 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/27 (pow x 2)) (+ (* 4/9 (/ 1 x)) (* 64/81 (/ 1 (pow x 3)))))) x)
(/ 1/3 x)
(/ (+ 1/3 (* 4/9 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 4/9 (* 16/27 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/9 (+ (/ 64/81 (pow x 2)) (* 16/27 (/ 1 x)))) x)) 1/3) x))
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* 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))
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))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 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))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* 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 #s(literal 9 binary64) x)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* 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 #s(literal 9 binary64) x)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* -1/16 x)))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal -1/16 binary64))))
(* x (+ 1/12 (* x (- (* 3/64 x) 1/16))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 #s(literal -1/16 binary64) (*.f64 x #s(literal 3/64 binary64))))))
(* x (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))))
(*.f64 x (+.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
#s(literal 1/9 binary64)
(- 1/9 (* 4/27 (/ 1 x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x))
(- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x))
(- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/81 binary64) (/.f64 #s(literal -64/243 binary64) x)) x) #s(literal -4/27 binary64)) x))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 4/27 (/ 1 x)))
(-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 4/27 binary64) x))
(+ 1/9 (* -1 (/ (- 4/27 (* 16/81 (/ 1 x))) x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x))
(+ 1/9 (* -1 (/ (+ 4/27 (* -1 (/ (- 16/81 (* 64/243 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 16/81 binary64) (/.f64 #s(literal -64/243 binary64) x)) x) #s(literal -4/27 binary64)) x))
12
#s(literal 12 binary64)
(+ 12 (* 9 x))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(+ 12 (* 9 x))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(+ 12 (* 9 x))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(* x (+ 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))
(* 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)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* 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 #s(literal 9 binary64) x)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* 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 #s(literal 9 binary64) x)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))
-1/4
#s(literal -1/4 binary64)
(- (* -3/16 x) 1/4)
(+.f64 (*.f64 x #s(literal -3/16 binary64)) #s(literal -1/4 binary64))
(- (* x (- (* -9/64 x) 3/16)) 1/4)
(+.f64 (*.f64 x (+.f64 #s(literal -3/16 binary64) (*.f64 x #s(literal -9/64 binary64)))) #s(literal -1/4 binary64))
(- (* x (- (* x (- (* -27/256 x) 9/64)) 3/16)) 1/4)
(+.f64 (*.f64 x (+.f64 #s(literal -3/16 binary64) (*.f64 x (+.f64 #s(literal -9/64 binary64) (*.f64 x #s(literal -27/256 binary64)))))) #s(literal -1/4 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/9 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/9 binary64) x)) x)
(/ (+ 1/3 (+ (/ 16/27 (pow x 2)) (* 4/9 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 16/27 binary64) x)))) x)
(/ (+ 1/3 (+ (/ 16/27 (pow x 2)) (+ (* 4/9 (/ 1 x)) (* 64/81 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 16/27 binary64) x))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 64/81 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/9 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/9 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/9 (* 16/27 (/ 1 x))) x)) 1/3) x))
(/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 4/9 binary64) (/.f64 #s(literal 16/27 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 4/9 (+ (/ 64/81 (pow x 2)) (* 16/27 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (+.f64 #s(literal -4/9 binary64) (/.f64 #s(literal -16/27 binary64) x)) (/.f64 #s(literal -64/81 binary64) (*.f64 x x))) x)) x)
-4
#s(literal -4 binary64)
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))

eval587.0ms (6.8%)

Compiler

Compiled 26987 to 1943 computations (92.8% saved)

prune113.0ms (1.3%)

Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New117511176
Fresh000
Picked224
Done099
Total1177121189
Accuracy
100.0%
Counts
1189 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.3%
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) x))
✓99.9%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
✓51.7%
(+.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
✓99.8%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
✓51.4%
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
✓51.4%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
✓51.3%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
✓51.7%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
✓51.4%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
✓3.8%
(*.f64 x #s(literal -12 binary64))
✓51.3%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
✓51.3%
#s(literal 3 binary64)
Compiler

Compiled 240 to 123 computations (48.8% saved)

regimes24.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -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 #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 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 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 (*.f64 x #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(+.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 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 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 (*.f64 #s(literal 9 binary64) x) #s(literal 12 binary64))) (+.f64 #s(literal -144 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))
(+.f64 #s(literal 3 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -144 binary64)) x) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))
(fma.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
Outputs
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
Calls

4 calls:

7.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
6.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
5.0ms
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)))
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)

regimes6.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -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 #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 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/3 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
99.3%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 (*.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 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
Outputs
(*.f64 (*.f64 x 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
98.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -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
98.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -30.8b remaining (-99%)

Threshold costs -30.8b (-99%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
51.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch39.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
5.553070242342735e-8
943.0873923284815
15.0ms
-1139.4333277093995
-4.2103990395837493e-7
Results
21.0ms304×0valid
Compiler

Compiled 322 to 260 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65% of total)
ival-sub: 2.0ms (16.3% of total)
ival-add: 2.0ms (16.3% of total)
const: 1.0ms (8.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch299.0ms (3.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
143.0ms
5.553070242342735e-8
943.0873923284815
153.0ms
-1139.4333277093995
-4.2103990395837493e-7
Results
147.0ms304×0valid
Compiler

Compiled 284 to 222 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (68.6% of total)
ival-sub: 2.0ms (17.2% of total)
ival-add: 2.0ms (17.2% of total)
const: 1.0ms (8.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
5.553070242342735e-8
943.0873923284815
32.0ms
-1139.4333277093995
-4.2103990395837493e-7
Results
42.0ms304×0valid
Compiler

Compiled 208 to 165 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 25.0ms (86.5% of total)
ival-sub: 2.0ms (6.9% of total)
ival-add: 1.0ms (3.5% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
5.553070242342735e-8
943.0873923284815
17.0ms
-1139.4333277093995
-4.2103990395837493e-7
Results
25.0ms304×0valid
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 (75.6% of total)
ival-sub: 2.0ms (12.6% of total)
ival-add: 2.0ms (12.6% of total)
const: 1.0ms (6.3% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
10×+-commutative_binary64
8×if-if-or-not_binary32
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03691
16191
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(if (<=.f64 x #s(literal -5404319552844595/9007199254740992 binary64)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 5134103575202365/9007199254740992 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 -6980579422424269/4503599627370496 binary64)) (*.f64 (*.f64 x 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 -5404319552844595/9007199254740992 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -5404319552844595/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
#s(literal 3 binary64)
Outputs
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))))
(if (<=.f64 x #s(literal -5404319552844595/9007199254740992 binary64)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 5134103575202365/9007199254740992 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 -5404319552844595/9007199254740992 binary64)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x))) (if (<=.f64 x #s(literal 5134103575202365/9007199254740992 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 #s(literal 9 binary64) x)))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (*.f64 (*.f64 x 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 -6980579422424269/4503599627370496 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)) (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 -5404319552844595/9007199254740992 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(if (<=.f64 x #s(literal -5404319552844595/9007199254740992 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal -5404319552844595/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(if (<=.f64 x #s(literal -5404319552844595/9007199254740992 binary64)) (*.f64 x (*.f64 #s(literal 9 binary64) x)) (if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 9 binary64) x))))
#s(literal 3 binary64)

soundness1.9s (21.6%)

Rules
4560×*-lowering-*.f32
4560×*-lowering-*.f64
3684×/-lowering-/.f32
3684×/-lowering-/.f64
3612×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01753
16851
255949
3696949
0827449
055576
1158520
2417520
31073494
43157494
57190494
08021494
01659
110954
291449
0832849
01012
13310
2839
32108
44347
57157
612847
728317
858777
975097
1079207
081177
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 218 to 116 computations (46.8% saved)

preprocess58.0ms (0.7%)

Compiler

Compiled 272 to 104 computations (61.8% saved)

end0.0ms (0%)

Profiling

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