Details

sample166.0ms

Algorithm

intervals

Results

71.0ms	39×	body	1280	valid
37.0ms	41×	body	640	valid
29.0ms	152×	body	80	valid
10.0ms	18×	body	320	valid
3.0ms	6×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

88.0ms	(+ (* x (cos y)) (* z (sin y)))
13.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series195.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* x (cos y)) (* z (sin y)))
56.0ms	(* x (cos y))
46.0ms	(* z (sin y))

simplify1.9s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	1546
2	494
1	192
0	83

prune306.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 80

Calls

4 calls:

24.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series709.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
183.0ms	(cbrt (sin y))
168.0ms	(cbrt (sin y))
137.0ms	(cbrt (sin y))

simplify2.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	1584
2	517
1	189
0	80

prune956.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube` `*-commutative`
6×	`add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 141

Calls

4 calls:

42.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
6.0ms	(cbrt (* x (cos y)))
7.0ms	(cbrt (* x (cos y)))
11.0ms	(cbrt (* x (cos y)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
187.0ms	(cbrt (* x (cos y)))
149.0ms	(cbrt (* x (cos y)))
196.0ms	(cbrt (* x (cos y)))

simplify2.0s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
3	2221
2	840
1	303
0	142

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (cos y))) (cbrt (* x (* (cbrt (cos y)) (cbrt (cos y))))))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (* (cbrt (cos y)) (cbrt (cos y)))))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

238×	`cbrt-prod`
219×	`add-sqr-sqrt`
122×	`associate-r`
120×	`unswap-sqr`
42×	`associate-l`
37×	`*-un-lft-identity` `add-cube-cbrt`
22×	`swap-sqr`
13×	`*-commutative`
8×	`add-cbrt-cube`
6×	`pow1` `add-exp-log`
5×	`pow1/3`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-prod-down`
1×	`prod-exp`

Counts

4 → 206

Calls

4 calls:

203.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (* (cbrt (cos y)) (cbrt (cos y))))))
13.0ms	(cbrt (* x (cos y)))
13.0ms	(cbrt (* x (cos y)))
60.0ms	(cbrt (* x (* (cbrt (cos y)) (cbrt (cos y)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (* (cbrt (cos y)) (cbrt (cos y))))))
214.0ms	(cbrt (* x (cos y)))
190.0ms	(cbrt (* x (cos y)))
260.0ms	(cbrt (* x (* (cbrt (cos y)) (cbrt (cos y)))))

simplify3.0s

Counts

218 → 218

Iterations

Iter	Nodes
done	5000
3	3690
2	1475
1	561
0	274

prune1.7s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.2s	1393×	body	1280	valid
1.1s	1245×	body	640	valid
948.0ms	4412×	body	80	valid
407.0ms	635×	body	320	valid
120.0ms	315×	body	160	valid