Details

sample59.0ms

Algorithm

intervals

Results

14.0ms	169×	body	80	valid
10.0ms	19×	body	1280	valid
9.0ms	27×	body	640	valid
6.0ms	25×	body	320	valid
3.0ms	16×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:

19.0ms	(/ (sin y) y)
33.0ms	(* x (/ (sin y) y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (sin y) y)
71.0ms	(* x (/ (sin y) y))

simplify4.2s

Counts

69 → 69

Iterations

Useful iterations: 3 (500.0ms)

Iter	Nodes	Cost
0	102	595
1	213	568
2	569	516
3	1570	514
4	4700	514
done	5000	514

prune218.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
8.7b	(cbrt (* x (/ (sin y) y)))
8.7b	(cbrt (* x (/ (sin y) y)))
8.7b	(cbrt (* x (/ (sin y) y)))

rewrite44.0ms

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:

17.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
6.0ms	(cbrt (* x (/ (sin y) y)))
6.0ms	(cbrt (* x (/ (sin y) y)))
12.0ms	(cbrt (* x (/ (sin y) y)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
136.0ms	(cbrt (* x (/ (sin y) y)))
139.0ms	(cbrt (* x (/ (sin y) y)))
145.0ms	(cbrt (* x (/ (sin y) y)))

simplify1.6s

Counts

84 → 84

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	100	1105
1	209	1005
2	609	892
3	1813	786
done	5000	757

prune241.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (* (cbrt (/ (sin y) y)) (cbrt (* x (/ (sin y) y)))))
0.5b	(cbrt x)
8.7b	(cbrt (* x (/ (sin y) y)))
8.7b	(cbrt (* x (/ (sin y) y)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
8×	`cbrt-prod` `associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `pow1/3` `associate-l`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 64

Calls

4 calls:

61.0ms	(* (cbrt x) (* (cbrt (/ (sin y) y)) (cbrt (* x (/ (sin y) y)))))
1.0ms	(cbrt x)
9.0ms	(cbrt (* x (/ (sin y) y)))
10.0ms	(cbrt (* x (/ (sin y) y)))

series838.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt x) (* (cbrt (/ (sin y) y)) (cbrt (* x (/ (sin y) y)))))
294.0ms	(cbrt x)
182.0ms	(cbrt (* x (/ (sin y) y)))
146.0ms	(cbrt (* x (/ (sin y) y)))

simplify1.7s

Counts

76 → 76

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	122	935
1	272	911
2	786	814
3	2712	788
done	5000	760

prune319.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (* (cbrt (/ (sin y) y)) (* (cbrt x) (cbrt (/ (sin y) y)))))
0.5b	(cbrt x)
0.5b	(cbrt x)
8.7b	(cbrt (* x (/ (sin y) y)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
10×	`cbrt-prod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1/3` `associate-*r/`
6×	`associate-l` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
5×	`cbrt-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 68

Calls

4 calls:

138.0ms	(* (cbrt x) (* (cbrt (/ (sin y) y)) (* (cbrt x) (cbrt (/ (sin y) y)))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
8.0ms	(cbrt (* x (/ (sin y) y)))

series920.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt x) (* (cbrt (/ (sin y) y)) (* (cbrt x) (cbrt (/ (sin y) y)))))
271.0ms	(cbrt x)
245.0ms	(cbrt x)
159.0ms	(cbrt (* x (/ (sin y) y)))

simplify2.9s

Counts

80 → 80

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	132	950
1	295	877
2	936	740
3	3831	704
done	5001	685

prune695.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes149.0ms

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	5	6
1	6	6
done	6	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

484.0ms	5191×	body	80	valid
423.0ms	901×	body	1280	valid
318.0ms	1039×	body	640	valid
156.0ms	569×	body	320	valid
40.0ms	300×	body	160	valid