Details

sample75.0ms

Algorithm

intervals

Results

25.0ms	44×	body	1280	valid
13.0ms	151×	body	80	valid
13.0ms	38×	body	640	valid
5.0ms	16×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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:

11.0ms	(+ (* x (sin y)) (* z (cos y)))
12.0ms	(* x (sin y))
33.0ms	(* z (cos y))

series263.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ (* x (sin y)) (* z (cos y)))
68.0ms	(* x (sin y))
61.0ms	(* z (cos y))

simplify2.5s

Counts

56 → 56

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	82	458
1	196	430
2	634	396
3	3406	396
done	5001	396

prune707.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt x) (cbrt x))
309.0ms	(cbrt x)
309.0ms	(cbrt x)
232.0ms	(cbrt x)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

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

prune479.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite22.0ms

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:

16.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series608.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
140.0ms	(cbrt (sin y))
188.0ms	(cbrt (sin y))
112.0ms	(cbrt (sin y))

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	75	710
1	177	628
2	754	534
done	5000	520

prune528.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.7b	(cbrt (cbrt (sin y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt (sin y))
4.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))
4.0ms	(cbrt (cbrt (sin y)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (sin y))
139.0ms	(cbrt (sin y))
129.0ms	(cbrt (sin y))
149.0ms	(cbrt (cbrt (sin y)))

simplify3.1s

Counts

59 → 59

Iterations

Useful iterations: 3 (218.0ms)

Iter	Nodes	Cost
0	56	415
1	116	394
2	280	356
3	973	344
4	3599	344
done	5000	344

prune395.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes303.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	15	16
done	15	16

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.9s	1474×	body	1280	valid
623.0ms	1241×	body	640	valid
533.0ms	4385×	body	80	valid
196.0ms	597×	body	320	valid
73.0ms	303×	body	160	valid