Details

sample121.0ms

Algorithm

intervals

Results

49.0ms	706×	body	80	nan
22.0ms	258×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	109	11
4	192	11
5	270	11
6	380	11
7	455	11
8	506	11
9	509	11
done	509	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

249.0ms	(+ (- (- (* x (log y)) y) z) (log t))
66.0ms	(- (- (* x (log y)) y) z)
14.0ms	(- (* x (log y)) y)
18.0ms	(* x (log y))

series274.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (- (- (* x (log y)) y) z) (log t))
43.0ms	(- (- (* x (log y)) y) z)
93.0ms	(- (* x (log y)) y)
70.0ms	(* x (log y))

simplify2.6s

Counts

110 → 110

Iterations

Useful iterations: 3 (926.0ms)

Iter	Nodes	Cost
0	167	1160
1	373	1097
2	942	1042
3	3340	994
done	5001	994

prune489.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* (cbrt y) (cbrt y))

series1.2s

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt y)
293.0ms	(cbrt y)
301.0ms	(cbrt y)
300.0ms	(* (cbrt y) (cbrt y))

simplify5.6s

Counts

85 → 85

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	321	397
3	1098	379
4	4542	374
done	5000	364

prune475.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
5.1b	(pow (/ 1 y) -1/3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

2.0ms	(cbrt y)
1.0ms	(cbrt y)
20.0ms	(* (cbrt y) (cbrt y))
12.0ms	(pow (/ 1 y) -1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt y)
286.0ms	(cbrt y)
285.0ms	(* (cbrt y) (cbrt y))
250.0ms	(pow (/ 1 y) -1/3)

simplify2.0s

Counts

106 → 106

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	135	788
1	270	620
2	577	592
3	1656	570
done	5001	565

prune544.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow y 2/3))
0.6b	(cbrt (cbrt y))
6.1b	(pow y 2/3)
6.1b	(pow y 2/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (pow y 2/3))
1.0ms	(cbrt (cbrt y))
3.0ms	(pow y 2/3)
3.0ms	(pow y 2/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt (pow y 2/3))
325.0ms	(cbrt (cbrt y))
261.0ms	(pow y 2/3)
278.0ms	(pow y 2/3)

simplify1.9s

Counts

75 → 75

Iterations

Useful iterations: 4 (682.0ms)

Iter	Nodes	Cost
0	85	481
1	153	440
2	279	387
3	621	375
4	2345	362
done	5001	362

prune570.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes391.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	24508×	body	80	nan
1.1s	8025×	body	80	valid
0.0ms	1×	body	640	valid