Details

sample55.0ms

Algorithm

intervals

Results

16.0ms	34×	body	1280	valid
12.0ms	166×	body	80	valid
10.0ms	32×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	142
1	8	142
2	12	142
3	14	142
4	16	142
5	17	142
done	17	142

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

37.0ms	(* x (/ (sin y) y))
12.0ms	(/ (sin y) y)

series114.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* x (/ (sin y) y))
42.0ms	(/ (sin y) y)

simplify2.1s

Counts

65 → 65

Iterations

Useful iterations: 3 (869.0ms)

Iter	Nodes	Cost
0	98	14829
1	227	13507
2	729	13347
3	2862	13187
done	5028	13187

prune335.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series674.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt y)
158.0ms	(cbrt (sin y))
119.0ms	(cbrt (sin y))
130.0ms	(cbrt (sin y))

simplify3.7s

Counts

56 → 56

Iterations

Useful iterations: 3 (200.0ms)

Iter	Nodes	Cost
0	49	15610
1	96	13069
2	218	12913
3	513	12273
4	1463	12273
5	4605	12273
done	5006	12273

prune292.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
7.6b	(cbrt (* x (/ (sin y) y)))
7.6b	(cbrt (* x (/ (sin y) y)))
7.6b	(cbrt (* x (/ (sin y) y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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:

26.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
9.0ms	(cbrt (* x (/ (sin y) y)))
9.0ms	(cbrt (* x (/ (sin y) y)))
9.0ms	(cbrt (* x (/ (sin y) y)))

series811.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
182.0ms	(cbrt (* x (/ (sin y) y)))
174.0ms	(cbrt (* x (/ (sin y) y)))
227.0ms	(cbrt (* x (/ (sin y) y)))

simplify2.4s

Counts

76 → 76

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	96	24992
1	230	22496
2	688	22136
3	2008	21336
done	5002	21334

prune502.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt x) (cbrt (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
0.7b	(cbrt x)
7.6b	(cbrt (* x (/ (sin y) y)))
7.6b	(cbrt (* x (/ (sin y) y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

30.0ms	(* (* (cbrt x) (cbrt (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
1.0ms	(cbrt x)
5.0ms	(cbrt (* x (/ (sin y) y)))
5.0ms	(cbrt (* x (/ (sin y) y)))

series852.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (* (cbrt x) (cbrt (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
249.0ms	(cbrt x)
161.0ms	(cbrt (* x (/ (sin y) y)))
204.0ms	(cbrt (* x (/ (sin y) y)))

simplify3.0s

Counts

69 → 69

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	118	24822
1	285	22468
2	867	22149
3	3425	21309
done	5000	20909

prune518.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes323.0ms

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	142
1	6	142
done	6	142

end1.0ms

sample1.8s

Algorithm

intervals

Results

541.0ms	922×	body	1280	valid
449.0ms	5263×	body	80	valid
350.0ms	948×	body	640	valid
124.0ms	569×	body	320	valid
89.0ms	298×	body	160	valid