Details

sample140.0ms

Algorithm

intervals

Results

68.0ms	49×	body	1280	valid
21.0ms	35×	body	640	valid
18.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
4.0ms	13×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:

16.0ms	(+ (* x (cos y)) (* z (sin y)))
10.0ms	(* z (sin y))
17.0ms	(* x (cos y))

series231.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* x (cos y)) (* z (sin y)))
66.0ms	(* z (sin y))
70.0ms	(* x (cos y))

simplify3.4s

Counts

56 → 56

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	81	454
1	184	426
2	457	392
3	1059	392
4	2765	392
done	5000	392

prune266.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite25.0ms

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)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series662.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
145.0ms	(cbrt (cos y))
115.0ms	(cbrt (cos y))
151.0ms	(cbrt (cos y))

simplify6.3s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.4s)

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

prune361.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

66.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
4.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (cos y))

series451.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
24.0ms	(pow (cos y) 2)
246.0ms	(cbrt (pow (cos y) 2))
134.0ms	(cbrt (cos y))

simplify3.4s

Counts

78 → 78

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	104	709
1	227	653
2	702	559
3	3068	539
done	5000	533

prune336.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (cbrt (cos y))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`pow1` `unpow-prod-down` `exp-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 63

Calls

4 calls:

8.0ms	(log (exp (cbrt (cos y))))
7.0ms	(pow (cos y) 2)
6.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (cos y))

series623.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(log (exp (cbrt (cos y))))
37.0ms	(pow (cos y) 2)
280.0ms	(cbrt (pow (cos y) 2))
171.0ms	(cbrt (cos y))

simplify1.6s

Counts

75 → 75

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	101	570
1	171	482
2	337	419
3	874	407
done	5000	405

prune279.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	17	16
done	17	16

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.4s	1438×	body	1280	valid
1.0s	4334×	body	80	valid
779.0ms	1297×	body	640	valid
252.0ms	630×	body	320	valid
67.0ms	301×	body	160	valid