Details

sample74.0ms

Algorithm

intervals

Results

25.0ms	262×	body	80	nan
17.0ms	257×	body	80	valid

simplify16.6s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

28.0ms	(- (* x (log y)) z)
30.0ms	(* x (log y))

series288.0ms

Counts

2 → 6

Calls

2 calls:

180.0ms	(- (* x (log y)) z)
102.0ms	(* x (log y))

simplify3.1s

Counts

49 → 49

Iterations

Useful iterations: 3 (643.0ms)

Iter	Nodes	Cost
0	90	402
1	186	381
2	459	351
3	1943	334
done	5001	334

prune427.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize108.0ms

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)

rewrite32.0ms

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:

23.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.5s

Counts

4 → 12

Calls

4 calls:

704.0ms	(* (cbrt y) (cbrt y))
640.0ms	(cbrt y)
780.0ms	(cbrt y)
398.0ms	(cbrt y)

simplify2.7s

Counts

85 → 85

Iterations

Useful iterations: done (2.7s)

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

prune869.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize566.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:

23.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
25.0ms	(pow (/ 1 y) -1/3)

series4.1s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt y) (cbrt y))
714.0ms	(cbrt y)
900.0ms	(cbrt y)
1.3s	(pow (/ 1 y) -1/3)

simplify3.8s

Counts

106 → 106

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	135	788
1	375	620
2	1571	592
done	5002	580

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (cbrt -1/3) (cbrt -1/3))
4.1b	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
5.3b	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

2.0ms	(cbrt y)
22.0ms	(* (cbrt -1/3) (cbrt -1/3))
26.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
25.0ms	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

series4.3s

Counts

4 → 10

Calls

4 calls:

2.0s	(cbrt y)
0.0ms	(* (cbrt -1/3) (cbrt -1/3))
846.0ms	(pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3)))
1.5s	(pow (pow (/ 1 y) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

simplify13.5s

Counts

130 → 130

Iterations

Useful iterations: done (13.2s)

Iter	Nodes	Cost
0	186	1726
1	620	1380
2	3929	1300
done	5000	1293

prune2.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes488.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample12.1s

Algorithm

intervals

Results

3.5s	7800×	body	80	nan
824.0ms	8031×	body	80	valid