Details

sample104.0ms

Algorithm

intervals

Results

39.0ms	47×	body	1280	valid
17.0ms	34×	body	640	valid
15.0ms	147×	body	80	valid
6.0ms	17×	body	320	valid
3.0ms	11×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize81.0ms

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))

rewrite62.0ms

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×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 50

Calls

3 calls:

25.0ms	(+ (* x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))
14.0ms	(* x (cos y))

series340.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(+ (* x (cos y)) (* z (sin y)))
80.0ms	(* z (sin y))
103.0ms	(* x (cos y))

simplify4.2s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	1652
2	496
1	193
0	83

prune685.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite25.0ms

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))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

380.0ms	(* (cbrt z) (cbrt z))
307.0ms	(cbrt z)
374.0ms	(cbrt z)
316.0ms	(cbrt z)

simplify7.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5015
4	3770
3	1044
2	353
1	137
0	63

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.8b	(cbrt (* z (sin y)))
9.8b	(cbrt (* z (sin y)))
9.8b	(cbrt (* z (sin y)))

rewrite61.0ms

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:

31.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
10.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))
11.0ms	(cbrt (* z (sin y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

406.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
294.0ms	(cbrt (* z (sin y)))
302.0ms	(cbrt (* z (sin y)))
305.0ms	(cbrt (* z (sin y)))

simplify7.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
4	4679
3	1437
2	584
1	213
0	89

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize132.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
9.8b	(cbrt (* z (sin y)))
9.8b	(cbrt (* z (sin y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

5.0ms	(cbrt (sin y))
3.0ms	(cbrt z)
12.0ms	(cbrt (* z (sin y)))
13.0ms	(cbrt (* z (sin y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (sin y))
311.0ms	(cbrt z)
263.0ms	(cbrt (* z (sin y)))
318.0ms	(cbrt (* z (sin y)))

simplify4.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	2587
3	919
2	375
1	169
0	84

prune769.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.5s	1261×	body	640	valid
1.4s	1523×	body	1280	valid
487.0ms	4237×	body	80	valid
323.0ms	645×	body	320	valid
82.0ms	334×	body	160	valid