Details

sample101.0ms

Algorithm

intervals

Results

42.0ms	35×	body	1280	valid
22.0ms	180×	body	80	valid
15.0ms	25×	body	640	valid
2.0ms	7×	body	320	valid
2.0ms	9×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

12.0ms	(+ x (sin y))
92.0ms	(+ (+ x (sin y)) (* z (cos y)))
18.0ms	(* z (cos y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (sin y))
52.0ms	(+ (+ x (sin y)) (* z (cos y)))
48.0ms	(* z (cos y))

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	78	455
1	196	424
2	561	398
3	1909	398
done	5000	398

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

28.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
9.0ms	(cbrt (* z (cos y)))
9.0ms	(cbrt (* z (cos y)))
9.0ms	(cbrt (* z (cos y)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
191.0ms	(cbrt (* z (cos y)))
181.0ms	(cbrt (* z (cos y)))
168.0ms	(cbrt (* z (cos y)))

simplify3.7s

Counts

70 → 70

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	81	744
1	173	662
2	456	582
3	1292	519
4	4271	476
done	5000	442

prune264.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1/3`
9×	`pow1` `add-exp-log`
7×	`cbrt-prod` `pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`associate-l` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt z)
55.0ms	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))

series868.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt z)
240.0ms	(* (cbrt (* z (cos y))) (* (cbrt z) (cbrt (cos y))))
145.0ms	(cbrt (* z (cos y)))
214.0ms	(cbrt (* z (cos y)))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	97	621
1	217	590
2	601	529
3	2342	509
done	5001	474

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

8.0ms	(cbrt z)
19.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
6.0ms	(cbrt (* z (cos y)))
5.0ms	(cbrt (* z (cos y)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt z)
173.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
168.0ms	(cbrt (* z (cos y)))
184.0ms	(cbrt (* z (cos y)))

simplify3.3s

Counts

72 → 72

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	96	706
1	199	619
2	505	548
3	1416	487
4	4678	451
done	5000	429

prune359.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

996.0ms	920×	body	1280	valid
721.0ms	5648×	body	80	valid
539.0ms	829×	body	640	valid
157.0ms	412×	body	320	valid
39.0ms	191×	body	160	valid