Details

Time bar (total: 8.7s)

sample23.0ms

Algorithm
intervals
Results
11.0ms345×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
26511
317011
442711
593511
6264511
done500111

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.7b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.3b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
10.0ms
(* (- 1.0 x) (- 3.0 x))
12.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (- 1.0 x) (- 3.0 x))
7.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify815.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
0136998
1413961
22032821
done5001821

prune106.0ms

Filtered
47 candidates to 69 candidates (-46.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh000
Picked101
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
6.0ms
(/ (- 1.0 x) y)
18.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (- 3.0 x) 3.0)
5.0ms
(/ (- 1.0 x) y)
7.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify923.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (426.0ms)

IterNodesCost
02021815
15581751
218251580
done50001580

prune203.0ms

Filtered
103 candidates to 147 candidates (-42.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1443147
Fresh325
Picked011
Done000
Total1476153

Merged error: 0b

Counts
153 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.1b
(/ (/ (- 3.0 x) 3.0) y)
0.1b
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (/ (- 3.0 x) 3.0) y)
24.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series21.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (- 3.0 x) 3.0)
6.0ms
(/ (/ (- 3.0 x) 3.0) y)
7.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify1.8s

Counts
231 → 231
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
03113373
17973185
230492992
done50002992

prune345.0ms

Filtered
170 candidates to 231 candidates (-35.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2310231
Fresh044
Picked011
Done011
Total2316237

Merged error: 0b

Counts
237 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.2b
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
0.3b
(* (/ (- 1.0 x) y) (- 3.0 x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
19×add-exp-log associate-*l* add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×associate-/l/
6×cbrt-undiv div-exp associate-/r* associate-/l*
5×pow1 flip3-- associate-*r* flip--
4×frac-times associate-*r/ prod-exp cbrt-unprod
3×div-inv add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*l/ clear-num unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
3 → 114
Calls
3 calls:
6.0ms
(/ (- 1.0 x) y)
13.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
12.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (- 1.0 x) y)
7.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
6.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

simplify989.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (449.0ms)

IterNodesCost
01891552
15091508
219031326
done50001326

prune131.0ms

Filtered
84 candidates to 123 candidates (-46.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh033
Picked011
Done022
Total1236129

Merged error: 0b

Counts
129 → 6

regimes208.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample643.0ms

Algorithm
intervals
Results
338.0ms10713×body80valid

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