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

Time bar (total: 10.9s)

analyze0.0ms (0%)

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

Compiled 11 to 8 computations (27.3% saved)

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

sample2.9s (26.9%)

Results
2.5s7620×0valid
42.0ms272×2valid
42.0ms364×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-mult: 2.2s (96.4% of total)
ival-sub: 55.0ms (2.4% of total)
const: 16.0ms (0.7% of total)
backward-pass: 12.0ms (0.5% of total)
Bogosity

preprocess165.0ms (1.5%)

Algorithm
egg-herbie
Rules
1854×fma-define
1770×fnmadd-define
1744×fnmadd-define
1718×fma-define
1308×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01330
14327
211721
343218
4148318
5414618
6581218
7587218
8589818
9589818
079
1179
2427
31026
42336
53896
66766
710346
826026
930496
1036686
1148976
1253976
1354136
1454136
054136
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (* 3 (- 2 (* x 3))) x)
Outputs
(* (* 3 (- 2 (* x 3))) x)
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
Call 2
Inputs
(* (* 3 (- 2 (* x 3))) x)
(* (* 3 (- 2 (* (neg x) 3))) (neg x))
(neg (* (* 3 (- 2 (* (neg x) 3))) (neg x)))
Outputs
(* (* 3 (- 2 (* x 3))) x)
(* x (fnmsub x 9 -6))
(* (* 3 (- 2 (* (neg x) 3))) (neg x))
(* x (fnmsub x 9 6))
(neg (* (* 3 (- 2 (* (neg x) 3))) (neg x)))
(* x (fnmsub x -9 -6))

explain93.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-#s(literal 3 binary64)
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
00-0-(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
Results
36.0ms424×0valid
11.0ms36×2valid
7.0ms52×1valid
Compiler

Compiled 68 to 23 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 17.0ms (72.1% of total)
ival-sub: 4.0ms (17% of total)
backward-pass: 2.0ms (8.5% of total)
const: 1.0ms (4.2% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
99.8%
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify95.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
cost-diff128
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
cost-diff0
(*.f64 x #s(literal -9 binary64))
cost-diff0
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
Rules
1854×fma-define
1770×fnmadd-define
1308×sum3-define
1002×fmsub-define
1000×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01241
13137
26736
312836
425436
540436
669136
7104936
8261736
9306436
10368336
11491436
12541436
13543036
14543036
0543036
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (+ 6 (* x -9)))
x
(+ 6 (* x -9))
6
(* x -9)
-9
(* (* 3 (- 2 (* x 3))) x)
(* 3 (- 2 (* x 3)))
3
(- 2 (* x 3))
2
(* x 3)
x
Outputs
(* x (+ 6 (* x -9)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
x
(+ 6 (* x -9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
6
#s(literal 6 binary64)
(* x -9)
(*.f64 x #s(literal -9 binary64))
-9
#s(literal -9 binary64)
(* (* 3 (- 2 (* x 3))) x)
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* 3 (- 2 (* x 3)))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
3
#s(literal 3 binary64)
(- 2 (* x 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
2
#s(literal 2 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
x

localize51.0ms (0.5%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.9%
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
accuracy99.8%
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
accuracy100.0%
(*.f64 x #s(literal -9 binary64))
accuracy100.0%
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
accuracy99.8%
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
Results
24.0ms212×0valid
6.0ms18×2valid
6.0ms26×1valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 12.0ms (69.2% of total)
ival-add: 2.0ms (11.5% of total)
ival-sub: 2.0ms (11.5% of total)
const: 1.0ms (5.8% of total)
backward-pass: 1.0ms (5.8% of total)

series17.0ms (0.2%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (* x (+ 6 (* x -9)))>
#<alt (+ 6 (* x -9))>
#<alt (* x -9)>
#<alt (* (* 3 (- 2 (* x 3))) x)>
#<alt (* 3 (- 2 (* x 3)))>
#<alt (- 2 (* x 3))>
#<alt (* x 3)>
Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 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 (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
Calls

21 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x -9)
1.0ms
x
@inf
(* (* 3 (- 2 (* x 3))) x)
1.0ms
x
@inf
(* x (+ 6 (* x -9)))
1.0ms
x
@-inf
(* x (+ 6 (* x -9)))
1.0ms
x
@0
(* (* 3 (- 2 (* x 3))) x)

rewrite291.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
3688×*-lowering-*.f32
3688×*-lowering-*.f64
1662×fma-lowering-fma.f32
1662×fma-lowering-fma.f64
1614×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01235
15931
241930
3370430
0844630
Stop Event
iter limit
node limit
Counts
7 → 441
Calls
Call 1
Inputs
(* x (+ 6 (* x -9)))
(+ 6 (* x -9))
(* x -9)
(* (* 3 (- 2 (* x 3))) x)
(* 3 (- 2 (* x 3)))
(- 2 (* x 3))
(* x 3)
Outputs
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(-.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(fma.f64 x #s(literal 6 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal -9 binary64) (*.f64 x x) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal -9 binary64)) x (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 2 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 2 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x x)) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -54 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (*.f64 x (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)))) (-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) (neg.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) #s(literal -216 binary64))) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 24 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) #s(literal -216 binary64)) x) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify151.0ms (1.4%)

Algorithm
egg-herbie
Rules
1948×*-lowering-*.f32
1948×*-lowering-*.f64
1236×sum5-define
1174×fmsub-define
1144×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032380
187335
2186335
3458335
41124335
51655335
63366335
08319335
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 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)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 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))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

eval61.0ms (0.6%)

Compiler

Compiled 11104 to 1016 computations (90.9% saved)

prune56.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New51510525
Fresh000
Picked112
Done000
Total51611527
Accuracy
100.0%
Counts
527 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.6%
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
99.6%
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
99.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
98.9%
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) x)
99.7%
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
98.7%
(*.f64 (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) x))
99.7%
(*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
47.8%
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
47.7%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
99.8%
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
55.2%
(*.f64 x #s(literal 6 binary64))
Compiler

Compiled 228 to 166 computations (27.2% saved)

simplify155.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x #s(literal 81 binary64)))
cost-diff0
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
cost-diff0
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
cost-diff0
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) x)
cost-diff0
(*.f64 x #s(literal -9 binary64))
cost-diff0
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
cost-diff0
(*.f64 x #s(literal -3 binary64))
cost-diff128
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
cost-diff0
(*.f64 x #s(literal 6 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
cost-diff0
(*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
cost-diff128
(*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
Rules
2946×fma-define
2220×fma-lowering-fma.f32
2220×fma-lowering-fma.f64
1712×sum3-define
1572×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028131
164121
2113113
3237113
4459113
5653113
61082113
71870113
85154113
96724113
08251113
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* x (- 2 (* x 3))) 3)
(* x (- 2 (* x 3)))
x
(- 2 (* x 3))
2
(* x 3)
3
(* x 6)
x
6
(* (* 3 (* x -3)) x)
(* 3 (* x -3))
3
(* x -3)
x
-3
(/ x (/ 1 (+ 6 (* x -9))))
x
(/ 1 (+ 6 (* x -9)))
1
(+ 6 (* x -9))
6
(* x -9)
-9
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x)
(/ (+ (* x (* x 81)) -36) (+ (* x -9) -6))
(+ (* x (* x 81)) -36)
(* x (* x 81))
x
(* x 81)
81
-36
(+ (* x -9) -6)
(* x -9)
-9
-6
Outputs
(* (* x (- 2 (* x 3))) 3)
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))
(* x (- 2 (* x 3)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -1/3 binary64))))
x
(- 2 (* x 3))
(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -1/3 binary64)))
2
#s(literal 2 binary64)
(* x 3)
(/.f64 x #s(literal 1/3 binary64))
3
#s(literal 3 binary64)
(* x 6)
(*.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(* (* 3 (* x -3)) x)
(/.f64 (*.f64 x x) #s(literal -1/9 binary64))
(* 3 (* x -3))
(/.f64 x #s(literal -1/9 binary64))
3
#s(literal 3 binary64)
(* x -3)
(/.f64 x #s(literal -1/3 binary64))
x
-3
#s(literal -3 binary64)
(/ x (/ 1 (+ 6 (* x -9))))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))
x
(/ 1 (+ 6 (* x -9)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))
1
#s(literal 1 binary64)
(+ 6 (* x -9))
(+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))
6
#s(literal 6 binary64)
(* x -9)
(/.f64 x #s(literal -1/9 binary64))
-9
#s(literal -9 binary64)
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x)
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 x #s(literal 1/9 binary64))))
(/ (+ (* x (* x 81)) -36) (+ (* x -9) -6))
(/.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64)) (-.f64 #s(literal -6 binary64) (/.f64 x #s(literal 1/9 binary64))))
(+ (* x (* x 81)) -36)
(+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64))
(* x (* x 81))
(*.f64 #s(literal 81 binary64) (*.f64 x x))
x
(* x 81)
(*.f64 x #s(literal 81 binary64))
81
#s(literal 81 binary64)
-36
#s(literal -36 binary64)
(+ (* x -9) -6)
(-.f64 #s(literal -6 binary64) (/.f64 x #s(literal 1/9 binary64)))
(* x -9)
(/.f64 x #s(literal -1/9 binary64))
-9
#s(literal -9 binary64)
-6
#s(literal -6 binary64)

localize242.0ms (2.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
accuracy99.8%
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) x)
accuracy99.7%
(*.f64 x (*.f64 x #s(literal 81 binary64)))
accuracy79.3%
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
accuracy100.0%
(*.f64 x #s(literal -9 binary64))
accuracy100.0%
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
accuracy99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
accuracy100.0%
(*.f64 x #s(literal -3 binary64))
accuracy99.8%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))
accuracy100.0%
(*.f64 x #s(literal 6 binary64))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.9%
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy99.9%
(*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
accuracy99.7%
(*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
Results
110.0ms186×0valid
73.0ms29×2valid
20.0ms39×1valid
2.0ms3valid
Compiler

Compiled 136 to 29 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 24.0ms (49.9% of total)
ival-div: 8.0ms (16.6% of total)
backward-pass: 6.0ms (12.5% of total)
ival-add: 6.0ms (12.5% of total)
const: 2.0ms (4.2% of total)
ival-sub: 2.0ms (4.2% of total)

series9.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (* (* x (- 2 (* x 3))) 3)>
#<alt (* x (- 2 (* x 3)))>
#<alt (- 2 (* x 3))>
#<alt (* x 3)>
#<alt (* x 6)>
#<alt (* (* 3 (* x -3)) x)>
#<alt (* 3 (* x -3))>
#<alt (* x -3)>
#<alt (/ x (/ 1 (+ 6 (* x -9))))>
#<alt (/ 1 (+ 6 (* x -9)))>
#<alt (+ 6 (* x -9))>
#<alt (* x -9)>
#<alt (* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x)>
#<alt (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6))>
#<alt (+ (* x (* x 81)) -36)>
#<alt (* x (* x 81))>
#<alt (+ (* x -9) -6)>
Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* x (+ 2 (* -3 x)))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -3 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 (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))>
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)>
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)>
#<alt (/ -1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 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 (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 6>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (+ 6 (* -9 x))>
#<alt (* -9 x)>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* x (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 x)>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))>
#<alt -36>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (- (* 81 (pow x 2)) 36)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 36 (/ 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 -6>
#<alt (- (* -9 x) 6)>
#<alt (- (* -9 x) 6)>
#<alt (- (* -9 x) 6)>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x)
1.0ms
x
@inf
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x)
0.0ms
x
@-inf
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x)
0.0ms
x
@0
(* (* 3 (* x -3)) x)
0.0ms
x
@inf
(* x 6)

rewrite434.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
3962×*-lowering-*.f32
3962×*-lowering-*.f64
3738×/-lowering-/.f32
3738×/-lowering-/.f64
1812×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02896
113887
294076
0857576
Stop Event
iter limit
node limit
Counts
17 → 1377
Calls
Call 1
Inputs
(* (* x (- 2 (* x 3))) 3)
(* x (- 2 (* x 3)))
(- 2 (* x 3))
(* x 3)
(* x 6)
(* (* 3 (* x -3)) x)
(* 3 (* x -3))
(* x -3)
(/ x (/ 1 (+ 6 (* x -9))))
(/ 1 (+ 6 (* x -9)))
(+ 6 (* x -9))
(* x -9)
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x)
(/ (+ (* x (* x 81)) -36) (+ (* x -9) -6))
(+ (* x (* x 81)) -36)
(* x (* x 81))
(+ (* x -9) -6)
Outputs
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64)))
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 81 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) #s(literal 6 binary64)) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (*.f64 x #s(literal -9 binary64))) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) #s(literal 6 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))) (*.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))))
(+.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))))
(+.f64 (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 x (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(fma.f64 x #s(literal 6 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 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 6 binary64)))
(fma.f64 #s(literal 6 binary64) x (*.f64 x (*.f64 x #s(literal -9 binary64))))
(fma.f64 (*.f64 x #s(literal -9 binary64)) x (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64) (*.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) 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 x #s(literal 6 binary64)))
(neg.f64 (*.f64 x (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))))
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(/.f64 (*.f64 (-.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64))) (*.f64 (+.f64 #s(literal -36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (*.f64 (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 (+.f64 #s(literal -36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)))) #s(literal -10077696 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) (-.f64 #s(literal 46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 157464 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 36 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x #s(literal -54 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) (neg.f64 (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -36 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal -36 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal -36 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal -36 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal 216 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) (*.f64 (/.f64 #s(literal -36 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal -36 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal -36 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(*.f64 (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(*.f64 (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x #s(literal -54 binary64))))))
(*.f64 (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))
(*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal -36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(*.f64 (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) (neg.f64 (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (/.f64 (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))))))

simplify213.0ms (2%)

Algorithm
egg-herbie
Rules
2042×sum3-define
2030×*-lowering-*.f32
2030×*-lowering-*.f64
1448×fma-lowering-fma.f32
1448×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101978
1286905
2712899
31599899
43142899
57943899
08717899
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 2 x)
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 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)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
-36
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 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))
-6
(- (* -9 x) 6)
(- (* -9 x) 6)
(- (* -9 x) 6)
(* -9 x)
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -9 x)
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -3 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(* x (+ 2 (* -3 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(* x (+ 2 (* -3 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(* -3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(* -3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(+ 2 (* -3 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -3 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))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 3/8 binary64)))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal 9/16 binary64)))))))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 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))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(+ 6 (* -9 x))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* x (- (* 6 (/ 1 x)) 9))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))
-36
#s(literal -36 binary64)
(- (* 81 (pow x 2)) 36)
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
(* 81 (pow x 2))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
-6
#s(literal -6 binary64)
(- (* -9 x) 6)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(- (* -9 x) 6)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(- (* -9 x) 6)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))

eval272.0ms (2.5%)

Compiler

Compiled 39844 to 3015 computations (92.4% saved)

prune126.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New159561601
Fresh235
Picked415
Done011
Total1601111612
Accuracy
100.0%
Counts
1612 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.6%
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
47.8%
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
47.7%
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
53.8%
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))))
55.1%
(/.f64 x #s(literal 1/6 binary64))
55.2%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
99.7%
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
47.8%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
47.8%
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
99.8%
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
55.2%
(*.f64 x #s(literal 6 binary64))
Compiler

Compiled 152 to 109 computations (28.3% saved)

simplify153.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 x #s(literal -9 binary64))
cost-diff128
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal -1/9 binary64) x)
cost-diff0
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -9 binary64))
cost-diff0
(/.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
cost-diff128
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
Rules
1622×fma-define
1532×fnmadd-define
1224×sum3-define
1140×fmsub-define
1098×fnmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01858
13958
27356
315255
432054
553254
688554
7131554
8305054
9357954
10426954
11531754
12568254
13593354
14601354
15601354
0601354
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (- 2 (* x 3)) (* x 3))
(- 2 (* x 3))
2
(* x 3)
x
3
(/ x 1/6)
x
1/6
(* (* x x) -9)
(* x x)
x
-9
(/ x (/ -1/9 x))
x
(/ -1/9 x)
-1/9
(/ (* x -9) (/ 1 x))
(* x -9)
x
-9
(/ 1 x)
1
Outputs
(* (- 2 (* x 3)) (* x 3))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))))
(- 2 (* x 3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))
2
#s(literal 2 binary64)
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(/ x 1/6)
(/.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(* (* x x) -9)
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(* x x)
(*.f64 x x)
x
-9
#s(literal -9 binary64)
(/ x (/ -1/9 x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
x
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
-1/9
#s(literal -1/9 binary64)
(/ (* x -9) (/ 1 x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(* x -9)
(/.f64 x #s(literal -1/9 binary64))
x
-9
#s(literal -9 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize192.0ms (1.8%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x #s(literal -9 binary64))
accuracy99.9%
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy99.8%
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
accuracy99.6%
(/.f64 #s(literal -1/9 binary64) x)
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
accuracy99.8%
(/.f64 x #s(literal 1/6 binary64))
accuracy100.0%
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.9%
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
Results
114.0ms76×5exit
44.0ms180×0valid
Compiler

Compiled 63 to 19 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-div: 33.0ms (31.7% of total)
backward-pass: 26.0ms (25% of total)
...c/correct-round.rkt:119:19: 25.0ms (24% of total)
ival-mult: 16.0ms (15.4% of total)
ival-sub: 3.0ms (2.9% of total)
const: 1.0ms (1% of total)

series3.0ms (0%)

Counts
11 → 132
Calls
Call 1
Inputs
#<alt (* (- 2 (* x 3)) (* x 3))>
#<alt (- 2 (* x 3))>
#<alt (* x 3)>
#<alt (/ x 1/6)>
#<alt (* (* x x) -9)>
#<alt (* x x)>
#<alt (/ x (/ -1/9 x))>
#<alt (/ -1/9 x)>
#<alt (/ (* x -9) (/ 1 x))>
#<alt (* x -9)>
#<alt (/ 1 x)>
Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt 2>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (+ 2 (* -3 x))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* x (- (* 2 (/ 1 x)) 3))>
#<alt (* -3 x)>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 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 (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 (pow x 2))>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (* -9 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
Calls

33 calls:

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

rewrite602.0ms (5.5%)

Algorithm
batch-egg-rewrite
Rules
4306×*-lowering-*.f32
4306×*-lowering-*.f64
3128×/-lowering-/.f32
3128×/-lowering-/.f64
2136×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01846
18746
244244
3346044
01006744
Stop Event
iter limit
node limit
Counts
11 → 695
Calls
Call 1
Inputs
(* (- 2 (* x 3)) (* x 3))
(- 2 (* x 3))
(* x 3)
(/ x 1/6)
(* (* x x) -9)
(* x x)
(/ x (/ -1/9 x))
(/ -1/9 x)
(/ (* x -9) (/ 1 x))
(* x -9)
(/ 1 x)
Outputs
(+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 x #s(literal 1/6 binary64)))
(+.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 x #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 6 binary64) x (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 (*.f64 x (-.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) (*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64)) (*.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))))))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x (-.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))) (+.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) #s(literal -4 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64))) (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (*.f64 x #s(literal 3 binary64))) (+.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 1/9 binary64) x))) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 x #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/6 binary64) x)) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/9 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal -1/6 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64))
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal -1/6 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1/6 binary64)) x) #s(literal 1/6 binary64))
(/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) x)) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1/9 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1/9 binary64) (*.f64 x x))) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal -1/6 binary64)))
(/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (*.f64 (/.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/6 binary64) x)))
(/.f64 (+.f64 (*.f64 (/.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1/6 binary64)) x) #s(literal 1/6 binary64))
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(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (/.f64 (/.f64 x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 x #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) x)
(*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) x) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64)) x)
(exp.f64 (log.f64 (/.f64 x #s(literal -1/9 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -1/9 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 x #s(literal 1/9 binary64)))
(/.f64 x #s(literal -1/9 binary64))
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/9 binary64))
(/.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal -9 binary64))
(*.f64 #s(literal -9 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/9 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/9 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 9 binary64))
(*.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))

simplify171.0ms (1.6%)

Algorithm
egg-herbie
Rules
1958×*-lowering-*.f32
1958×*-lowering-*.f64
1306×fma-lowering-fma.f32
1306×fma-lowering-fma.f64
1268×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030512
174494
2139494
3295494
4720494
5964494
61936494
76043494
08062494
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(+ 2 (* -3 x))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* x (- (* 2 (/ 1 x)) 3))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -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)
(* -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)))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval99.0ms (0.9%)

Compiler

Compiled 11102 to 1698 computations (84.7% saved)

prune172.0ms (1.6%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New8522854
Fresh044
Picked055
Done022
Total85213865
Accuracy
100.0%
Counts
865 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64))
90.6%
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
47.8%
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
47.7%
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
53.8%
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))))
55.1%
(/.f64 x #s(literal 1/6 binary64))
55.2%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
55.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
99.7%
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
47.8%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
47.8%
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
99.8%
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
55.2%
(*.f64 x #s(literal 6 binary64))
Compiler

Compiled 154 to 114 computations (26% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/4 binary64))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
cost-diff0
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1/6 binary64) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
cost-diff0
(*.f64 x #s(literal -9 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
cost-diff128
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x))
cost-diff256
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64))
Rules
74×*-lowering-*.f32
74×*-lowering-*.f64
56×fma-define
52×fma-lowering-fma.f32
52×fma-lowering-fma.f64
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
02278
14074
25672
36472
46772
56872
67672
79272
810471
911870
1012370
012370
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54)
(+ (* (* x x) 1/6) (* -1/9 x))
(* (* x x) 1/6)
(* x x)
x
1/6
(* -1/9 x)
-1/9
-1/54
(* (* x -9) x)
(* x -9)
x
-9
(/ 1 (/ 1/6 x))
1
(/ 1/6 x)
1/6
x
(/ 6 (/ 1 x))
6
(/ 1 x)
1
x
(/ x (+ 1/6 (* x 1/4)))
x
(+ 1/6 (* x 1/4))
1/6
(* x 1/4)
1/4
Outputs
(/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54)
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(+ (* (* x x) 1/6) (* -1/9 x))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (* x x) 1/6)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x x)
(*.f64 x x)
x
1/6
#s(literal 1/6 binary64)
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
-1/9
#s(literal -1/9 binary64)
-1/54
#s(literal -1/54 binary64)
(* (* x -9) x)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* x -9)
(*.f64 x #s(literal -9 binary64))
x
-9
#s(literal -9 binary64)
(/ 1 (/ 1/6 x))
(*.f64 x #s(literal 6 binary64))
1
#s(literal 1 binary64)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
1/6
#s(literal 1/6 binary64)
x
(/ 6 (/ 1 x))
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ x (+ 1/6 (* x 1/4)))
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))))
x
(+ 1/6 (* x 1/4))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)

localize291.0ms (2.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x #s(literal 1/4 binary64))
accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
accuracy99.9%
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
accuracy99.7%
(/.f64 #s(literal 1/6 binary64) x)
accuracy100.0%
(*.f64 x #s(literal -9 binary64))
accuracy99.8%
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
accuracy100.0%
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy99.7%
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64))
accuracy99.6%
(*.f64 #s(literal -1/9 binary64) x)
Results
210.0ms76×5exit
46.0ms180×0valid
Compiler

Compiled 87 to 23 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
...c/correct-round.rkt:119:19: 64.0ms (43.6% of total)
ival-div: 39.0ms (26.5% of total)
ival-mult: 22.0ms (15% of total)
backward-pass: 14.0ms (9.5% of total)
ival-add: 7.0ms (4.8% of total)
const: 1.0ms (0.7% of total)

series6.0ms (0.1%)

Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54)>
#<alt (+ (* (* x x) 1/6) (* -1/9 x))>
#<alt (* (* x x) 1/6)>
#<alt (* x x)>
#<alt (* (* x -9) x)>
#<alt (* x -9)>
#<alt (/ 1 (/ 1/6 x))>
#<alt (/ 1/6 x)>
#<alt (/ 6 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ x (+ 1/6 (* x 1/4)))>
#<alt (+ 1/6 (* x 1/4))>
#<alt (* x 1/4)>
#<alt (* -1/9 x)>
Outputs
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -9 (pow x 2))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))>
#<alt (* -1/9 x)>
#<alt (* x (- (* 1/6 x) 1/9))>
#<alt (* x (- (* 1/6 x) 1/9))>
#<alt (* x (- (* 1/6 x) 1/9))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (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 (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (/ 1/6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -9 x)))>
#<alt (* x (+ 6 (* x (- (* 27/2 x) 9))))>
#<alt (* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))>
#<alt 4>
#<alt (- 4 (* 8/3 (/ 1 x)))>
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))>
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))>
#<alt 4>
#<alt (- 4 (* 8/3 (/ 1 x)))>
#<alt (+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))>
#<alt (+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (+ 1/6 (* 1/4 x))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
#<alt (* -1/9 x)>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54)
0.0ms
x
@inf
(/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54)
0.0ms
x
@inf
(* (* x x) 1/6)
0.0ms
x
@inf
(* x 1/4)
0.0ms
x
@-inf
(* x 1/4)

rewrite314.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
3996×*-lowering-*.f32
3996×*-lowering-*.f64
2448×/-lowering-/.f32
2448×/-lowering-/.f64
1818×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02263
111259
266557
3677857
0802857
Stop Event
iter limit
node limit
Counts
14 → 487
Calls
Call 1
Inputs
(/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54)
(+ (* (* x x) 1/6) (* -1/9 x))
(* (* x x) 1/6)
(* x x)
(* (* x -9) x)
(* x -9)
(/ 1 (/ 1/6 x))
(/ 1/6 x)
(/ 6 (/ 1 x))
(/ 1 x)
(/ x (+ 1/6 (* x 1/4)))
(+ 1/6 (* x 1/4))
(* x 1/4)
(* -1/9 x)
Outputs
(+.f64 (*.f64 #s(literal -54 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 #s(literal -54 binary64) (*.f64 x #s(literal -1/9 binary64))))
(+.f64 (*.f64 #s(literal -54 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 #s(literal -54 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -54 binary64)) (*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -54 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -54 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -54 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1/54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/54 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))) #s(literal -1/54 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))) #s(literal -1/54 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 #s(literal -1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 #s(literal -1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))))
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/54 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/54 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1/54 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) #s(literal -54 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -54 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/54 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/54 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1/54 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/54 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))))))
(/.f64 #s(literal -54 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal -1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/54 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 #s(literal -1/54 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal -1/54 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (*.f64 #s(literal -1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))))
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(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))))
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64)))))))
(*.f64 (+.f64 #s(literal -1/36 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/16 binary64))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) #s(literal 1/36 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (+.f64 #s(literal 1/216 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64)))))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 x #s(literal -1/9 binary64))
(*.f64 #s(literal -1/9 binary64) x)
(*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/9 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/9 binary64)))
(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x))

simplify203.0ms (1.9%)

Algorithm
egg-herbie
Rules
1640×fnmadd-define
1412×fmsub-define
1374×fmm-def
1286×fma-lowering-fma.f32
1286×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077693
1222667
2490661
31047659
42881659
08207659
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -1/9 x)
(* x (- (* 1/6 x) 1/9))
(* x (- (* 1/6 x) 1/9))
(* x (- (* 1/6 x) 1/9))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (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)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(/ 1/6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* x (- (* 27/2 x) 9))))
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))
4
(- 4 (* 8/3 (/ 1 x)))
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))
4
(- 4 (* 8/3 (/ 1 x)))
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* 1/4 x))
(+ 1/6 (* 1/4 x))
(* 1/4 x)
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(* 1/4 x)
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
(* -1/9 x)
Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* x (- (* 1/6 x) 1/9))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* x (- (* 1/6 x) 1/9))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* x (- (* 1/6 x) 1/9))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 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)
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 (pow x 2))
(*.f64 x (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(* x (+ 6 (* x (- (* 27/2 x) 9))))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 27/2 binary64))))))
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x (+.f64 #s(literal 27/2 binary64) (*.f64 x #s(literal -81/4 binary64))))))))
4
#s(literal 4 binary64)
(- 4 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x))
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -16/9 binary64) x)) x))
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x))
4
#s(literal 4 binary64)
(- 4 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x))
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -16/9 binary64) x)) x))
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(+ 1/6 (* 1/4 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(+ 1/6 (* 1/4 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* x (+ 1/4 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))
(* -1/9 x)
(*.f64 x #s(literal -1/9 binary64))

eval71.0ms (0.7%)

Compiler

Compiled 11072 to 1281 computations (88.4% saved)

prune124.0ms (1.1%)

Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New6523655
Fresh101
Picked145
Done077
Total65414668
Accuracy
100.0%
Counts
668 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/54 binary64))
47.8%
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
47.7%
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
53.8%
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))))
55.1%
(/.f64 x #s(literal 1/6 binary64))
55.2%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
55.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
99.7%
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
47.8%
(*.f64 (*.f64 x x) #s(literal -9 binary64))
47.8%
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
99.5%
(*.f64 (*.f64 #s(literal -54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
99.8%
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
55.2%
(*.f64 x #s(literal 6 binary64))
2.5%
#s(literal 4 binary64)
Compiler

Compiled 270 to 143 computations (47% saved)

regimes14.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/54 binary64))
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x)
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal -54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) x)
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))
(*.f64 (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) x))
Outputs
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
Calls

2 calls:

7.0ms
x
6.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/54 binary64))
Outputs
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x #s(literal 6 binary64))
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
97.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
(*.f64 x #s(literal 6 binary64))
(*.f64 (*.f64 x #s(literal -9 binary64)) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.4%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
(*.f64 x #s(literal 6 binary64))
(/.f64 x #s(literal 1/6 binary64))
Outputs
(*.f64 x #s(literal 6 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
55.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
Outputs
#s(literal 4 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
2.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch459.0ms (4.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
440.0ms
0.00013975277456022188
2.3363961498030656
16.0ms
-734250.6677821883
-0.00022089140164111118
Results
448.0ms272×0valid
Compiler

Compiled 218 to 163 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 441.0ms
ival-sub: 431.0ms (97.7% of total)
ival-mult: 10.0ms (2.3% of total)
const: 1.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.00013975277456022188
2.3363961498030656
20.0ms
-734250.6677821883
-0.00022089140164111118
Results
14.0ms272×0valid
Compiler

Compiled 218 to 163 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (68.3% of total)
ival-sub: 1.0ms (13.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01849
12749
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x)))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x)))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)
Outputs
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x)))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x)))
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))))
(*.f64 x #s(literal 6 binary64))
#s(literal 4 binary64)

soundness2.6s (23.5%)

Rules
3962×*-lowering-*.f32
3962×*-lowering-*.f64
3738×/-lowering-/.f32
3738×/-lowering-/.f64
3688×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077693
1222667
2490661
31047659
42881659
08207659
032380
187335
2186335
3458335
41124335
51655335
63366335
08319335
01235
15931
241930
3370430
0844630
02896
113887
294076
0857576
0101978
1286905
2712899
31599899
43142899
57943899
08717899
079
1179
2427
31026
42336
53896
66766
710346
826026
930496
1036686
1148976
1253976
1354136
1454136
054136
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 152 to 91 computations (40.1% saved)

preprocess41.0ms (0.4%)

Compiler

Compiled 148 to 64 computations (56.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...