Details

sample62.0ms

Algorithm

intervals

Results

14.0ms	169×	body	80	valid
11.0ms	19×	body	1280	valid
10.0ms	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

23.0ms	(/ (sin y) y)
15.0ms	(* x (/ (sin y) y))

series133.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (sin y) y)
87.0ms	(* x (/ (sin y) y))

simplify4.8s

Counts

65 → 65

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	98	571
1	208	545
2	564	493
3	1548	493
4	4670	493
done	5000	493

prune194.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 64

Calls

4 calls:

15.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
9.0ms	(cbrt (* x (/ (sin y) y)))
10.0ms	(cbrt (* x (/ (sin y) y)))
8.0ms	(cbrt (* x (/ (sin y) y)))

series777.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
176.0ms	(cbrt (* x (/ (sin y) y)))
201.0ms	(cbrt (* x (/ (sin y) y)))
190.0ms	(cbrt (* x (/ (sin y) y)))

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	96	1025
1	205	925
2	590	813
3	1736	720
done	5000	688

prune385.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

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)))

rewrite96.0ms

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×	`add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 56

Calls

4 calls:

69.0ms	(* (cbrt x) (* (cbrt (/ (sin y) y)) (cbrt (* x (/ (sin y) y)))))
2.0ms	(cbrt x)
11.0ms	(cbrt (* x (/ (sin y) y)))
12.0ms	(cbrt (* x (/ (sin y) y)))

series895.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt x) (* (cbrt (/ (sin y) y)) (cbrt (* x (/ (sin y) y)))))
310.0ms	(cbrt x)
158.0ms	(cbrt (* x (/ (sin y) y)))
191.0ms	(cbrt (* x (/ (sin y) y)))

simplify2.2s

Counts

68 → 68

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	116	863
1	267	839
2	767	743
3	2655	719
done	5000	689

prune363.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

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)))

rewrite170.0ms

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×	`add-log-exp`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 60

Calls

4 calls:

160.0ms	(* (cbrt x) (* (cbrt (/ (sin y) y)) (* (cbrt x) (cbrt (/ (sin y) y)))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(cbrt (* x (/ (sin y) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt x) (* (cbrt (/ (sin y) y)) (* (cbrt x) (cbrt (/ (sin y) y)))))
281.0ms	(cbrt x)
310.0ms	(cbrt x)
230.0ms	(cbrt (* x (/ (sin y) y)))

simplify2.9s

Counts

72 → 72

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	126	886
1	289	817
2	917	681
3	3674	646
done	5001	627

prune287.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes111.0ms

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

446.0ms	5191×	body	80	valid
390.0ms	901×	body	1280	valid
357.0ms	1039×	body	640	valid
150.0ms	569×	body	320	valid
37.0ms	300×	body	160	valid