Details

sample148.0ms

Algorithm

intervals

Results

55.0ms	799×	body	80	nan
21.0ms	256×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2128
4	480
3	114
2	48
1	20
0	10

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

13.0ms	(- (* x (log y)) y)
76.0ms	(- (- (* x (log y)) y) z)
14.0ms	(* x (log y))

series228.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(- (* x (log y)) y)
61.0ms	(- (- (* x (log y)) y) z)
69.0ms	(* x (log y))

simplify2.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	3666
2	733
1	276
0	127

prune350.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

378.0ms	(* (cbrt y) (cbrt y))
276.0ms	(cbrt y)
301.0ms	(cbrt y)
262.0ms	(cbrt y)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune553.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.9b	(pow y 2/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(pow y 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt y)
285.0ms	(cbrt y)
287.0ms	(cbrt y)
331.0ms	(pow y 2/3)

simplify2.3s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
3	2535
2	504
1	136
0	57

prune542.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (cbrt 2/3) (cbrt 2/3))
2.9b	(pow y (* (cbrt 2/3) (cbrt 2/3)))
5.7b	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`cbrt-prod`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`unpow-prod-down`
12×	`pow1`
9×	`add-exp-log`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow-exp`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt y)
15.0ms	(* (cbrt 2/3) (cbrt 2/3))
2.0ms	(pow y (* (cbrt 2/3) (cbrt 2/3)))
5.0ms	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

series1.4s

Counts

4 → 10

Calls

4 calls:

307.0ms	(cbrt y)
0.0ms	(* (cbrt 2/3) (cbrt 2/3))
392.0ms	(pow y (* (cbrt 2/3) (cbrt 2/3)))
708.0ms	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

simplify1.6s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	2175
1	362
0	127

prune881.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes833.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.2s	24070×	body	80	nan
1.3s	8026×	body	80	valid
2.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid