Details

sample106.0ms

Algorithm

intervals

Results

31.0ms	32×	body	640	valid
26.0ms	31×	body	1280	valid
19.0ms	168×	body	80	valid
7.0ms	18×	body	320	valid
2.0ms	7×	body	160	valid

simplify246.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	36	9
4	42	9
5	51	9
6	61	9
7	71	9
8	85	9
9	101	9
10	114	9
11	117	9
done	117	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

84.0ms	(- (+ x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))

series133.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(- (+ x (cos y)) (* z (sin y)))
51.0ms	(* z (sin y))

simplify1.2s

Counts

38 → 38

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	69	365
1	157	346
2	428	320
3	1527	320
done	5000	320

prune134.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite43.0ms

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:

23.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
168.0ms	(cbrt (* z (sin y)))
184.0ms	(cbrt (* z (sin y)))
188.0ms	(cbrt (* z (sin y)))

simplify3.5s

Counts

70 → 70

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	87	790
1	189	713
2	460	629
3	1192	540
4	3815	482
done	5001	448

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (sin y))
7.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt z)
104.0ms	(cbrt (sin y))
141.0ms	(cbrt (* z (sin y)))
152.0ms	(cbrt (* z (sin y)))

simplify1.7s

Counts

52 → 52

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	81	383
1	161	371
2	328	334
3	775	298
4	2458	284
done	5001	281

prune241.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

6.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))

series677.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (* z (sin y)))
160.0ms	(cbrt (* z (sin y)))
174.0ms	(cbrt (* z (sin y)))
175.0ms	(cbrt (* z (sin y)))

simplify2.9s

Counts

48 → 48

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	41	452
1	79	448
2	150	404
3	366	352
4	1072	316
5	3554	316
done	5001	312

prune342.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.0b 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	8	9
1	10	9
done	10	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

684.0ms	974×	body	1280	valid
640.0ms	5614×	body	80	valid
584.0ms	811×	body	640	valid
560.0ms	403×	body	320	valid
40.0ms	198×	body	160	valid