Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	36×	body	1280	valid
10.0ms	162×	body	80	valid
8.0ms	26×	body	640	valid
6.0ms	24×	body	320	valid
1.0ms	8×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

12.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)

series92.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify1.9s

Counts

65 → 65

Iterations

Iter	Nodes
done	5028
3	2862
2	729
1	227
0	98

prune314.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `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-l/` `-commutative`

Counts

2 → 59

Calls

2 calls:

14.0ms	(* (/ (sin y) y) x)
7.0ms	(/ (sin y) y)

series109.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (/ (sin y) y) x)
45.0ms	(/ (sin y) y)

simplify1.8s

Counts

65 → 65

Iterations

Iter	Nodes
done	5064
3	2782
2	675
1	234
0	100

prune325.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize44.0ms

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))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`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` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

43.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
4.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))

series724.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
170.0ms	(cbrt (/ (sin y) y))
178.0ms	(cbrt (/ (sin y) y))
162.0ms	(cbrt (/ (sin y) y))

simplify2.7s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
4	4693
3	1728
2	759
1	323
0	167

prune951.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt 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 y)
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series796.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt y)
268.0ms	(cbrt y)
145.0ms	(cbrt (sin y))
123.0ms	(cbrt (sin y))

simplify2.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5006
5	4605
4	1463
3	513
2	218
1	96
0	49

prune313.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

753.0ms	5198×	body	80	valid
387.0ms	899×	body	1280	valid
343.0ms	1032×	body	640	valid
103.0ms	567×	body	320	valid
38.0ms	304×	body	160	valid