Details

sample90.0ms

Algorithm

intervals

Results

25.0ms	20×	body	320	valid
18.0ms	28×	body	1280	valid
16.0ms	173×	body	80	valid
11.0ms	27×	body	640	valid
2.0ms	8×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite99.0ms

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`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

12.0ms	(+ x (sin y))
66.0ms	(+ (+ x (sin y)) (* z (cos y)))
18.0ms	(* z (cos y))

series177.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (sin y))
83.0ms	(+ (+ x (sin y)) (* z (cos y)))
51.0ms	(* z (cos y))

simplify1.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	78	455
1	196	424
2	561	398
3	1909	398
done	5000	398

prune189.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite29.0ms

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:

22.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series584.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
114.0ms	(cbrt (cos y))
128.0ms	(cbrt (cos y))
135.0ms	(cbrt (cos y))

simplify5.1s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.9s)

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

prune330.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite48.0ms

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)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 2))

series416.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
20.0ms	(pow (cos y) 2)
128.0ms	(cbrt (cos y))
229.0ms	(cbrt (pow (cos y) 2))

simplify2.7s

Counts

78 → 78

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	104	709
1	227	653
2	702	559
3	3086	539
done	5000	533

prune239.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite12.0ms

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:

4.0ms	(log (exp (cbrt (cos y))))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 2))

series454.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(log (exp (cbrt (cos y))))
22.0ms	(pow (cos y) 2)
117.0ms	(cbrt (cos y))
193.0ms	(cbrt (pow (cos y) 2))

simplify915.0ms

Counts

75 → 75

Iterations

Useful iterations: done (913.0ms)

Iter	Nodes	Cost
0	101	570
1	171	482
2	337	419
3	880	407
done	5000	405

prune285.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	19	18
done	19	18

end0.0ms

sample2.7s

Algorithm

intervals

Results

730.0ms	805×	body	640	valid
690.0ms	973×	body	1280	valid
683.0ms	5643×	body	80	valid
151.0ms	386×	body	320	valid
37.0ms	192×	body	160	valid
2.0ms	1×	body	2560	valid