Details

sample88.0ms

Algorithm

intervals

Results

32.0ms	52×	body	1280	valid
18.0ms	45×	body	640	valid
11.0ms	127×	body	80	valid
6.0ms	22×	body	320	valid
2.0ms	10×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

19.0ms	(+ (* x (sin y)) (* z (cos y)))
11.0ms	(* z (cos y))
46.0ms	(* x (sin y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ (* x (sin y)) (* z (cos y)))
54.0ms	(* z (cos y))
55.0ms	(* x (sin y))

simplify2.5s

Counts

56 → 56

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	82	458
1	196	430
2	634	396
3	3411	396
done	5001	396

prune233.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
8.4b	(cbrt (* x (sin y)))
8.4b	(cbrt (* x (sin y)))
8.4b	(cbrt (* x (sin y)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

41.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
18.0ms	(cbrt (* x (sin y)))
9.0ms	(cbrt (* x (sin y)))
10.0ms	(cbrt (* x (sin y)))

series757.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
169.0ms	(cbrt (* x (sin y)))
164.0ms	(cbrt (* x (sin y)))
216.0ms	(cbrt (* x (sin y)))

simplify673.0ms

Counts

70 → 70

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	87	790
1	213	713
2	863	630
done	5000	559

prune433.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt x)
8.4b	(cbrt (* x (sin y)))
8.4b	(cbrt (* x (sin y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt x)
4.0ms	(cbrt (* x (sin y)))
5.0ms	(cbrt (* x (sin y)))

series753.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (sin y))
246.0ms	(cbrt x)
157.0ms	(cbrt (* x (sin y)))
215.0ms	(cbrt (* x (sin y)))

simplify755.0ms

Counts

52 → 52

Iterations

Useful iterations: done (752.0ms)

Iter	Nodes	Cost
0	81	383
1	167	371
2	445	334
3	1572	298
done	5000	284

prune298.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

17.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt x) (cbrt x))
285.0ms	(cbrt x)
252.0ms	(cbrt x)
256.0ms	(cbrt x)

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune390.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes241.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	19	23
done	19	23

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1543×	body	1280	valid
766.0ms	1222×	body	640	valid
686.0ms	4302×	body	80	valid
543.0ms	314×	body	160	valid
198.0ms	619×	body	320	valid