Details

Time bar (total: 2.3s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
6.0ms
(- x (/ 1.0 3.0))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- x (/ 1.0 3.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08177
117872
242872
3120472
4429172
5500172

prune22.0ms

Filtered
13 candidates to 18 candidates (-38.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
14.0b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×distribute-lft-out difference-of-squares
5×add-exp-log add-cbrt-cube
4×associate-/r* associate-/l*
3×pow1
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 66
Calls
3 calls:
5.0ms
(+ x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
18.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series14.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ x (/ 1.0 3.0))
4.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
7.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify150.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
0277693
11280635
25001624

prune232.0ms

Filtered
56 candidates to 75 candidates (-33.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New72375
Fresh000
Picked011
Done101
Total73477

Merged error: 0b

Counts
77 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- x (/ 1.0 3.0))
0.0b
(* (+ x (/ 1.0 3.0)) (/ (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
0.0b
(/ (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
78×*-un-lft-identity
59×times-frac
30×associate-*r*
28×add-cube-cbrt
20×difference-of-squares
15×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×add-log-exp
6×pow1 associate-/l*
5×flip3-+ flip-+
4×associate-*l* associate-/r* associate-/r/
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 132
Calls
4 calls:
6.0ms
(+ x (/ 1.0 3.0))
7.0ms
(- x (/ 1.0 3.0))
34.0ms
(* (+ x (/ 1.0 3.0)) (/ (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
25.0ms
(/ (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (/ 1.0 3.0))
4.0ms
(- x (/ 1.0 3.0))
6.0ms
(* (+ x (/ 1.0 3.0)) (/ (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0))))
5.0ms
(/ (- x (/ 1.0 3.0)) (+ x (/ 1.0 3.0)))

simplify138.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
04241216
121981120
250021120

prune303.0ms

Filtered
98 candidates to 144 candidates (-46.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh022
Picked011
Done011
Total1444148

Merged error: 0b

Counts
148 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(/ 1 (+ x (/ 1.0 3.0)))
14.1b
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
8×distribute-lft-out add-log-exp
7×pow1
4×div-exp associate-*l* prod-exp associate-/r* associate-/r/
3×flip3-- flip3-+ flip-- flip-+ associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv difference-of-squares
1×+-commutative sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 108
Calls
4 calls:
6.0ms
(+ x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
8.0ms
(/ 1 (+ x (/ 1.0 3.0)))
16.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ x (/ 1.0 3.0))
5.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
5.0ms
(/ 1 (+ x (/ 1.0 3.0)))
7.0ms
(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (+ x (/ 1.0 3.0))))

simplify216.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
0386943
12192821
25001782

prune342.0ms

Filtered
73 candidates to 120 candidates (-64.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done022
Total1204124

Merged error: 0b

Counts
124 → 4

regimes32.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108
1108

end0.0ms

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample321.0ms

Algorithm
intervals
Results
199.0ms8000×body80valid

Profiling

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