Details

Time bar (total: 14.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2105
done105

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))

rewrite7.0ms

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:
7.0ms
(- x (/ 1.0 3.0))

series2.0ms

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

simplify925.0ms

Counts
18 → 18
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
038161
182156
2175146
3382146
41002146
53053146
done5001146

prune35.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
6.0ms
(cbrt (- x (/ 1.0 3.0)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
7.0ms
(cbrt (- x (/ 1.0 3.0)))
18.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (- x (/ 1.0 3.0)))
8.0ms
(cbrt (- x (/ 1.0 3.0)))
8.0ms
(cbrt (- x (/ 1.0 3.0)))
14.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify821.0ms

Counts
119 → 119
Iterations

Useful iterations: 3 (334.0ms)

IterNodesCost
01842289
14022118
212211968
336501703
done50011703

prune278.0ms

Filtered
87 candidates to 119 candidates (-36.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh011
Picked011
Done011
Total1184122

Merged error: 0.0b

Counts
122 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
8.8b
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-div
32×cbrt-prod
28×*-un-lft-identity
22×add-sqr-sqrt
18×add-exp-log
14×add-cube-cbrt
12×frac-times flip3-+ flip-+
11×pow1
9×swap-sqr
8×flip3-- pow1/3 associate-/r/ add-cbrt-cube flip-- associate-/l/
7×associate-*r* associate-*l*
6×associate-*r/ associate-*l/ distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up difference-of-squares
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 118
Calls
4 calls:
17.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
31.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
4.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
4.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
10.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
13.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
14.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify529.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (177.0ms)

IterNodesCost
02284017
15973633
220083033
done50013033

prune492.0ms

Filtered
97 candidates to 130 candidates (-34.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1282130
Fresh011
Picked011
Done112
Total1295134

Merged error: 0b

Counts
134 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
8.8b
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite339.0ms

Algorithm
rewrite-expression-head
Rules
4888×cbrt-div
2196×frac-times
1464×flip3-+ flip-+
728×associate-/r/
642×associate-*l/
570×associate-*r/
32×cbrt-prod
28×*-un-lft-identity
27×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt
11×pow1 add-cbrt-cube
10×prod-exp cbrt-unprod
9×swap-sqr
8×flip3-- pow1/3 flip-- associate-/l/
7×associate-*r* associate-*l*
6×cbrt-undiv div-exp distribute-lft-out
4×add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up difference-of-squares
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 842
Calls
4 calls:
17.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
88.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))))
4.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
6.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
11.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (* (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))) (cbrt (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))))
20.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
13.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify815.0ms

Counts
854 → 854
Iterations

Useful iterations: done (740.0ms)

IterNodesCost
0178070748
1460370328
done500170296

prune9.4s

Filtered
352 candidates to 854 candidates (-142.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New8540854
Fresh022
Picked011
Done022
Total8545859

Merged error: 0b

Counts
859 → 5

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample285.0ms

Algorithm
intervals
Results
147.0ms8000×body80valid

Profiling

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