Details

sample111.0ms

Algorithm

intervals

Results

46.0ms	45×	body	1280	valid
17.0ms	33×	body	640	valid
14.0ms	133×	body	80	valid
10.0ms	27×	body	320	valid
4.0ms	18×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

15.0ms	(- (* x (cos y)) (* z (sin y)))
14.0ms	(* x (cos y))
14.0ms	(* z (sin y))

series262.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* x (cos y)) (* z (sin y)))
65.0ms	(* x (cos y))
95.0ms	(* z (sin y))

simplify4.3s

Counts

57 → 57

Iterations

Iter	Nodes
done	5011
4	4876
3	1322
2	420
1	178
0	80

prune368.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (cos y) x) (* z (sin y)))
0.1b	(* (cos y) x)
0.1b	(* z (sin 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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

13.0ms	(- (* (cos y) x) (* z (sin y)))
10.0ms	(* (cos y) x)
8.0ms	(* z (sin y))

series196.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* (cos y) x) (* z (sin y)))
43.0ms	(* (cos y) x)
52.0ms	(* z (sin y))

simplify1.9s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	1765
2	506
1	204
0	90

prune382.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite29.0ms

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` `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 → 73

Calls

4 calls:

19.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series581.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
158.0ms	(cbrt (sin y))
123.0ms	(cbrt (sin y))
136.0ms	(cbrt (sin y))

simplify3.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
4	4605
3	1321
2	472
1	175
0	75

prune517.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

4.0ms	(cbrt (cbrt (sin y)))
3.0ms	(cbrt (cbrt (sin y)))
11.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
12.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series639.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (cbrt (sin y)))
130.0ms	(cbrt (cbrt (sin y)))
165.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
211.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify2.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
5	4045
4	1458
3	671
2	249
1	117
0	61

prune423.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.6s	1460×	body	1280	valid
881.0ms	1209×	body	640	valid
440.0ms	4339×	body	80	valid
265.0ms	663×	body	320	valid
137.0ms	329×	body	160	valid