Details

sample118.0ms

Algorithm

intervals

Results

41.0ms	46×	body	1280	valid
25.0ms	43×	body	640	valid
17.0ms	132×	body	80	valid
8.0ms	20×	body	320	valid
4.0ms	15×	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

localize20.0ms

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))

rewrite61.0ms

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:

32.0ms	(+ (* x (sin y)) (* z (cos y)))
18.0ms	(* x (sin y))
9.0ms	(* z (cos y))

series261.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ (* x (sin y)) (* z (cos y)))
67.0ms	(* x (sin y))
59.0ms	(* z (cos y))

simplify3.1s

Counts

56 → 56

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	82	458
1	186	430
2	458	396
3	1054	396
4	2739	396
done	5000	396

prune246.0ms

Pruning

7 alts after pruning (7 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))

rewrite42.0ms

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:

29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series635.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
152.0ms	(cbrt (cos y))
122.0ms	(cbrt (cos y))
138.0ms	(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

prune365.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (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))

rewrite56.0ms

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:

39.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
5.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (cos y))

series464.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
33.0ms	(pow (cos y) 2)
194.0ms	(cbrt (pow (cos y) 2))
169.0ms	(cbrt (cos y))

simplify3.5s

Counts

78 → 78

Iterations

Useful iterations: done (3.5s)

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

prune309.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (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))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r` `unpow2`
5×	`sqr-pow`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `pow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

19.0ms	(* (cbrt (pow (cos y) 2)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))

series506.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (cbrt (pow (cos y) 2)) (cbrt (cos y)))
30.0ms	(pow (cos y) 2)
295.0ms	(cbrt (pow (cos y) 2))
167.0ms	(cbrt (cos y))

simplify2.3s

Counts

97 → 97

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	112	939
1	219	855
2	566	753
3	1998	735
done	5000	717

prune870.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	14	12
done	14	12

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.0s	1531×	body	1280	valid
764.0ms	1235×	body	640	valid
508.0ms	4286×	body	80	valid
205.0ms	610×	body	320	valid
141.0ms	338×	body	160	valid