Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	28×	body	1280	valid
6.0ms	170×	body	80	valid
5.0ms	33×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3
done	17	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

11.0ms	(/ (sin y) y)
14.0ms	(* x (/ (sin y) y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (sin y) y)
52.0ms	(* x (/ (sin y) y))

simplify33.0ms

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302
done	5001	302

prune124.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

27.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series533.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
120.0ms	(cbrt (/ (sin y) y))
127.0ms	(cbrt (/ (sin y) y))
121.0ms	(cbrt (/ (sin y) y))

simplify46.0ms

Counts

164 → 164

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	302	1455
1	1021	1402
2	5001	1328
done	5001	1328

prune480.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (cbrt (/ (sin y) y)))
0.3b	(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

56×	`cbrt-prod`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
1×	`frac-times` `associate-r/` `associate-l/`

Counts

4 → 89

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (cbrt (/ (sin y) y)))
8.0ms	(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))

series677.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (/ (sin y) y))
124.0ms	(cbrt (/ (sin y) y))
193.0ms	(cbrt (cbrt (/ (sin y) y)))
227.0ms	(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))

simplify66.0ms

Counts

101 → 101

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	281	811
1	635	770
2	2165	745
3	5001	731
done	5001	731

prune363.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
6.9b	(cbrt (* x (/ (sin y) y)))
6.9b	(cbrt (* x (/ (sin y) y)))
6.9b	(cbrt (* x (/ (sin y) y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

13.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
5.0ms	(cbrt (* x (/ (sin y) y)))
9.0ms	(cbrt (* x (/ (sin y) y)))
5.0ms	(cbrt (* x (/ (sin y) y)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
127.0ms	(cbrt (* x (/ (sin y) y)))
121.0ms	(cbrt (* x (/ (sin y) y)))
121.0ms	(cbrt (* x (/ (sin y) y)))

simplify143.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	210	616
1	834	549
2	4674	504
3	5001	504
done	5001	504

prune213.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3
done	6	3

end0.0ms

sample834.0ms

Algorithm

intervals

Results

233.0ms	914×	body	1280	valid
180.0ms	5253×	body	80	valid
153.0ms	1030×	body	640	valid
54.0ms	523×	body	320	valid
21.0ms	280×	body	160	valid