Details

sample120.0ms

Algorithm

intervals

Results

41.0ms	45×	body	1280	valid
28.0ms	39×	body	640	valid
20.0ms	138×	body	80	valid
9.0ms	21×	body	320	valid
4.0ms	13×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

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))

rewrite26.0ms

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:

10.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
9.0ms	(* z (sin y))

series276.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- (* x (cos y)) (* z (sin y)))
52.0ms	(* x (cos y))
91.0ms	(* z (sin y))

simplify1.8s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	1659
2	485
1	182
0	83

prune355.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`neg-sub0` `+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

9.0ms	(+ (* x (cos y)) (- (* z (sin y))))
17.0ms	(* x (cos y))
17.0ms	(* z (sin y))

series237.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(+ (* x (cos y)) (- (* z (sin y))))
66.0ms	(* x (cos y))
55.0ms	(* z (sin y))

simplify2.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	2676
2	688
1	221
0	90

prune347.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite23.0ms

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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series640.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
155.0ms	(cbrt (cos y))
143.0ms	(cbrt (cos y))
117.0ms	(cbrt (cos y))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5003
3	1336
2	369
1	145
0	66

prune558.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite54.0ms

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:

35.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
143.0ms	(cbrt (* z (sin y)))
216.0ms	(cbrt (* z (sin y)))
197.0ms	(cbrt (* z (sin y)))

simplify1.5s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	1646
2	632
1	213
0	89

prune537.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes482.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	22
2	22
1	20
0	12

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.9s	1487×	body	1280	valid
1.6s	1246×	body	640	valid
875.0ms	4301×	body	80	valid
407.0ms	620×	body	320	valid
117.0ms	346×	body	160	valid