Details

sample53.0ms

Algorithm

intervals

Results

13.0ms	188×	body	80	valid
12.0ms	24×	body	1280	valid
8.0ms	23×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	41	9
4	57	9
5	68	9
6	131	9
7	343	9
8	885	9
9	2386	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (cos y))
0.2b	(* z (sin y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

12.0ms	(+ x (cos y))
11.0ms	(* z (sin y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (cos y))
49.0ms	(* z (sin y))

simplify2.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (327.0ms)

Iter	Nodes	Cost
0	67	260
1	154	252
2	410	230
3	1337	227
4	4431	227
done	5000	227

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite16.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series903.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt z) (cbrt z))
196.0ms	(cbrt z)
217.0ms	(cbrt z)
203.0ms	(cbrt z)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune359.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite48.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

27.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))

series621.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
181.0ms	(cbrt (* z (sin y)))
130.0ms	(cbrt (* z (sin y)))
155.0ms	(cbrt (* z (sin y)))

simplify514.0ms

Counts

78 → 78

Iterations

Useful iterations: done (512.0ms)

Iter	Nodes	Cost
0	91	850
1	218	773
2	821	690
done	5001	621

prune267.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (* z (sin y)))
171.0ms	(cbrt (* z (sin y)))
127.0ms	(cbrt (* z (sin y)))
136.0ms	(cbrt (* z (sin y)))

simplify2.0s

Counts

56 → 56

Iterations

Useful iterations: 4 (719.0ms)

Iter	Nodes	Cost
0	43	500
1	81	496
2	185	452
3	680	400
4	3778	360
done	5000	360

prune308.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

607.0ms	993×	body	1280	valid
601.0ms	5557×	body	80	valid
461.0ms	409×	body	320	valid
441.0ms	844×	body	640	valid
32.0ms	196×	body	160	valid
2.0ms	1×	body	2560	valid