Details

sample81.0ms

Algorithm

intervals

Results

25.0ms	45×	body	1280	valid
17.0ms	45×	body	640	valid
12.0ms	123×	body	80	valid
8.0ms	30×	body	320	valid
2.0ms	13×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.2b	(* z (sin y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

10.0ms	(+ (* x (cos y)) (* z (sin y)))
9.0ms	(* x (cos y))
19.0ms	(* z (sin y))

series233.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ (* x (cos y)) (* z (sin y)))
47.0ms	(* x (cos y))
64.0ms	(* z (sin y))

simplify4.0s

Counts

63 → 63

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	87	494
1	196	449
2	503	417
3	1307	417
4	3735	417
done	5000	417

prune296.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite30.0ms

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:

22.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (cbrt z) (cbrt z))
313.0ms	(cbrt z)
343.0ms	(cbrt z)
297.0ms	(cbrt z)

simplify5.4s

Counts

93 → 93

Iterations

Useful iterations: done (5.4s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune393.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite25.0ms

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:

16.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series576.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
143.0ms	(cbrt (sin y))
131.0ms	(cbrt (sin y))
139.0ms	(cbrt (sin y))

simplify2.7s

Counts

93 → 93

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	79	750
1	162	664
2	423	564
3	1308	541
done	5001	533

prune556.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite74.0ms

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:

46.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))

series743.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
219.0ms	(cbrt (* z (sin y)))
165.0ms	(cbrt (* z (sin y)))
165.0ms	(cbrt (* z (sin y)))

simplify3.4s

Counts

78 → 78

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	91	850
1	194	773
2	478	689
3	1256	593
4	3964	531
done	5000	494

prune336.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	20	23
done	20	23

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.7s	1519×	body	1280	valid
834.0ms	1197×	body	640	valid
735.0ms	600×	body	320	valid
588.0ms	4369×	body	80	valid
70.0ms	315×	body	160	valid