Details

sample171.0ms

Algorithm

intervals

Results

67.0ms	49×	body	1280	valid
39.0ms	39×	body	640	valid
28.0ms	137×	body	80	valid
15.0ms	23×	body	320	valid
4.0ms	8×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

16.0ms	(- (* x (cos y)) (* z (sin y)))
8.0ms	(* z (sin y))
7.0ms	(* x (cos y))

series258.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(- (* x (cos y)) (* z (sin y)))
49.0ms	(* z (sin y))
77.0ms	(* x (cos y))

simplify3.9s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
4	4936
3	1327
2	422
1	182
0	83

prune280.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

11.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series599.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
141.0ms	(cbrt (sin y))
142.0ms	(cbrt (sin y))
162.0ms	(cbrt (sin y))

simplify2.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
3	1407
2	456
1	176
0	77

prune521.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

16.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt z) (cbrt z))
289.0ms	(cbrt z)
310.0ms	(cbrt z)
276.0ms	(cbrt z)

simplify3.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune598.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.4b	(cbrt (* z (sin y)))
7.4b	(cbrt (* z (sin y)))
7.4b	(cbrt (* z (sin y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `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 → 62

Calls

4 calls:

38.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
154.0ms	(cbrt (* z (sin y)))
183.0ms	(cbrt (* z (sin y)))
196.0ms	(cbrt (* z (sin y)))

simplify3.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5031
4	4685
3	1449
2	590
1	213
0	89

prune523.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes546.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.6s	1481×	body	1280	valid
1.4s	1252×	body	640	valid
920.0ms	4324×	body	80	valid
390.0ms	629×	body	320	valid
108.0ms	314×	body	160	valid