Details

sample115.0ms

Algorithm

intervals

Results

38.0ms	46×	body	1280	valid
32.0ms	42×	body	640	valid
14.0ms	132×	body	80	valid
7.0ms	21×	body	320	valid
5.0ms	15×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite52.0ms

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

series222.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* x (cos y)) (* z (sin y)))
47.0ms	(* x (cos y))
72.0ms	(* z (sin y))

simplify3.6s

Counts

56 → 56

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	81	454
1	184	426
2	457	392
3	1063	392
4	2768	392
done	5001	392

prune241.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite27.0ms

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 (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series764.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
154.0ms	(cbrt (cos y))
153.0ms	(cbrt (cos y))
187.0ms	(cbrt (cos y))

simplify6.0s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.2s)

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

prune371.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite84.0ms

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:

11.0ms	(* z (sin y))
65.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series291.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (sin y))
45.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
32.0ms	(pow (cos y) 2)
173.0ms	(cbrt (cos y))

simplify3.8s

Counts

84 → 84

Iterations

Useful iterations: done (3.8s)

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

prune454.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite30.0ms

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:

15.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
8.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series686.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
128.0ms	(cbrt (cos y))
154.0ms	(cbrt (cos y))
161.0ms	(cbrt (cos y))

simplify6.1s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.2s)

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

prune422.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes291.0ms

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	14	17
1	18	17
done	18	17

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.7s	1529×	body	1280	valid
785.0ms	1232×	body	640	valid
596.0ms	4285×	body	80	valid
218.0ms	339×	body	160	valid
194.0ms	615×	body	320	valid