Details

sample61.0ms

Algorithm

intervals

Results

16.0ms	257×	body	80	valid
12.0ms	232×	body	80	nan

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	41	8
4	83	8
5	188	8
6	417	8
7	1183	8
8	3990	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log y)) z)
0.0b	(- (- (* x (log y)) z) y)
0.2b	(* x (log y))

rewrite75.0ms

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-exp-log` `add-cbrt-cube`
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:

11.0ms	(- (* x (log y)) z)
47.0ms	(- (- (* x (log y)) z) y)
15.0ms	(* x (log y))

series160.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (* x (log y)) z)
37.0ms	(- (- (* x (log y)) z) y)
40.0ms	(* x (log y))

simplify2.4s

Counts

76 → 76

Iterations

Useful iterations: 3 (660.0ms)

Iter	Nodes	Cost
0	126	705
1	275	666
2	731	629
3	4011	596
done	5000	596

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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×	`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:

17.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series999.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt y) (cbrt y))
240.0ms	(cbrt y)
258.0ms	(cbrt y)
196.0ms	(cbrt y)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune319.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt (cbrt y))
360.0ms	(cbrt (cbrt y))
249.0ms	(pow y 2/3)
238.0ms	(pow y 2/3)

simplify1.8s

Counts

74 → 74

Iterations

Useful iterations: 4 (818.0ms)

Iter	Nodes	Cost
0	67	452
1	149	414
2	397	388
3	1194	372
4	3853	344
done	5001	344

prune340.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt 2/3) (cbrt 2/3))
3.0b	(pow y (* (cbrt 2/3) (cbrt 2/3)))
5.9b	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))
6.1b	(pow y 2/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
16×	`unpow-prod-down`
13×	`pow1`
10×	`add-exp-log` `pow-unpow`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `pow-exp`
4×	`pow-to-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-pow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

11.0ms	(* (cbrt 2/3) (cbrt 2/3))
3.0ms	(pow y (* (cbrt 2/3) (cbrt 2/3)))
6.0ms	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))
3.0ms	(pow y 2/3)

series1.3s

Counts

4 → 10

Calls

4 calls:

0.0ms	(* (cbrt 2/3) (cbrt 2/3))
364.0ms	(pow y (* (cbrt 2/3) (cbrt 2/3)))
687.0ms	(pow (pow y (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))
217.0ms	(pow y 2/3)

simplify1.7s

Counts

108 → 108

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	129	1079
1	402	897
2	2346	847
done	5000	793

prune709.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes161.0ms

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)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

690.0ms	8135×	body	80	nan
393.0ms	8027×	body	80	valid
1.0ms	1×	body	2560	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid