Details

sample44.0ms

Algorithm

intervals

Results

11.0ms	34×	body	1280	valid
9.0ms	166×	body	80	valid
7.0ms	32×	body	640	valid
2.0ms	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 63

Calls

2 calls:

31.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series106.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* x (/ (sin y) y))
37.0ms	(/ (sin y) y)

simplify2.5s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	102	15635
1	234	14370
2	730	14128
3	3228	13918
done	5004	13918

prune387.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series646.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt y)
130.0ms	(cbrt (sin y))
122.0ms	(cbrt (sin y))
145.0ms	(cbrt (sin y))

simplify2.9s

Counts

64 → 64

Iterations

Useful iterations: 4 (492.0ms)

Iter	Nodes	Cost
0	53	17258
1	101	14642
2	228	14486
3	494	13846
4	1329	13771
5	3677	13771
done	5005	13771

prune342.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize52.0ms

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)))

rewrite40.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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:

16.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
7.0ms	(cbrt (* x (/ (sin y) y)))
7.0ms	(cbrt (* x (/ (sin y) y)))
8.0ms	(cbrt (* x (/ (sin y) y)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
142.0ms	(cbrt (* x (/ (sin y) y)))
147.0ms	(cbrt (* x (/ (sin y) y)))
152.0ms	(cbrt (* x (/ (sin y) y)))

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: 3 (698.0ms)

Iter	Nodes	Cost
0	100	27488
1	233	24992
2	664	24557
3	2389	23732
done	5002	23732

prune497.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`frac-times` `swap-sqr` `associate-r` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up`

Counts

4 → 65

Calls

4 calls:

31.0ms	(* (cbrt (* x (/ (sin y) y))) (* (cbrt x) (cbrt (/ (sin y) y))))
1.0ms	(cbrt x)
4.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))

series822.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (* x (/ (sin y) y))) (* (cbrt x) (cbrt (/ (sin y) y))))
277.0ms	(cbrt x)
155.0ms	(cbrt (* x (/ (sin y) y)))
155.0ms	(cbrt (* x (/ (sin y) y)))

simplify2.7s

Counts

77 → 77

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	123	27515
1	280	25202
2	842	24808
3	3497	23886
done	5002	23486

prune438.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes243.0ms

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

end0.0ms

sample2.1s

Algorithm

intervals

Results

816.0ms	922×	body	1280	valid
553.0ms	5263×	body	80	valid
353.0ms	948×	body	640	valid
131.0ms	569×	body	320	valid
44.0ms	298×	body	160	valid