Details

sample138.0ms

Algorithm

intervals

Results

48.0ms	42×	body	640	valid
39.0ms	46×	body	1280	valid
16.0ms	132×	body	80	valid
8.0ms	21×	body	320	valid
5.0ms	15×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite32.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

11.0ms	(- (* x (cos y)) (* z (sin y)))
9.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series559.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(- (* x (cos y)) (* z (sin y)))
42.0ms	(* x (cos y))
400.0ms	(* z (sin y))

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	82	464
1	175	436
2	392	402
3	937	402
4	2101	402
done	5001	402

prune224.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite33.0ms

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:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series624.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
145.0ms	(cbrt (cos y))
123.0ms	(cbrt (cos y))
113.0ms	(cbrt (cos y))

simplify6.2s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.3s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune385.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

19.0ms	(* z (sin y))
89.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series362.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* z (sin y))
77.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
186.0ms	(cbrt (cos y))

simplify3.7s

Counts

84 → 84

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	126	759
1	287	658
2	845	582
3	3340	521
done	5000	513

prune438.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (pow (cos y) 6))
0.3b	(cbrt (cos y))
0.5b	(pow (cos y) 6)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
13×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
7×	`pow1` `prod-exp`
6×	`unpow-prod-down` `associate-r`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`
1×	`pow-pow` `unpow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 66

Calls

4 calls:

102.0ms	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
5.0ms	(cbrt (pow (cos y) 6))
3.0ms	(cbrt (cos y))
8.0ms	(pow (cos y) 6)

series324.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
30.0ms	(cbrt (pow (cos y) 6))
149.0ms	(cbrt (cos y))
77.0ms	(pow (cos y) 6)

simplify3.7s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	112	799
1	254	709
2	793	617
3	3512	605
done	5000	605

prune400.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	18	18
done	18	18

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.1s	1529×	body	1280	valid
650.0ms	1232×	body	640	valid
603.0ms	4285×	body	80	valid
329.0ms	615×	body	320	valid
74.0ms	339×	body	160	valid