Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
10.0ms	183×	body	80	valid
6.0ms	23×	body	640	valid
2.0ms	11×	body	320	valid
2.0ms	13×	body	160	valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5
done	270	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

40.0ms	(- (+ x (cos y)) (* z (sin y)))
6.0ms	(+ x (cos y))
9.0ms	(* z (sin y))

series116.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (+ x (cos y)) (* z (sin y)))
26.0ms	(+ x (cos y))
38.0ms	(* z (sin y))

simplify74.0ms

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	256
1	668	240
2	2771	240
3	5001	240
done	5001	240

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite15.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series726.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt z) (cbrt z))
174.0ms	(cbrt z)
177.0ms	(cbrt z)
175.0ms	(cbrt z)

simplify87.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt z)
8.0ms	(cbrt (* (cbrt z) (cbrt z)))
5.0ms	(cbrt (* (cbrt z) (cbrt z)))
5.0ms	(cbrt (* (cbrt z) (cbrt z)))

series996.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt z)
274.0ms	(cbrt (* (cbrt z) (cbrt z)))
271.0ms	(cbrt (* (cbrt z) (cbrt z)))
272.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify85.0ms

Counts

50 → 50

Iterations

Useful iterations: 4 (82.0ms)

Iter	Nodes	Cost
0	78	228
1	168	198
2	559	184
3	2334	184
4	5003	183
done	5003	183

prune227.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt z) (sin y))
0.3b	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
0.6b	(cbrt z)
31.8b	(cbrt (pow z 2))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`add-sqr-sqrt` `associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`unpow-prod-down`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

13.0ms	(* (cbrt z) (sin y))
29.0ms	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
1.0ms	(cbrt z)
2.0ms	(cbrt (pow z 2))

series515.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cbrt z) (sin y))
53.0ms	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
185.0ms	(cbrt z)
181.0ms	(cbrt (pow z 2))

simplify32.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	229	423
1	869	375
2	5001	362
done	5001	362

prune306.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5
done	10	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

395.0ms	996×	body	1280	valid
293.0ms	5566×	body	80	valid
207.0ms	814×	body	640	valid
67.0ms	409×	body	320	valid
25.0ms	214×	body	160	valid
2.0ms	1×	body	2560	valid