Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	168×	body	80	valid
6.0ms	25×	body	1280	valid
6.0ms	34×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	11	6
3	15	6
4	16	6
done	16	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

11.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: 3 (460.0ms)

Iter	Nodes	Cost
0	102	595
1	217	568
2	597	516
3	2077	514
done	5000	514

prune170.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 182

Calls

3 calls:

24.0ms	(* x (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* x (/ 1 (/ y (sin y))))
25.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ y (sin y)))

simplify1.9s

Counts

191 → 191

Iterations

Useful iterations: 3 (965.0ms)

Iter	Nodes	Cost
0	244	2235
1	577	1761
2	1140	1524
3	3315	1504
done	5001	1504

prune349.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `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-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

20.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
144.0ms	(cbrt (/ y (sin y)))
141.0ms	(cbrt (/ y (sin y)))
136.0ms	(cbrt (/ y (sin y)))

simplify2.4s

Counts

164 → 164

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	173	2275
1	292	2132
2	764	2056
3	2148	1946
4	4980	1928
done	5000	1928

prune529.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
8.9b	(cbrt (* x (/ (sin y) y)))
8.9b	(cbrt (* x (/ (sin y) y)))
8.9b	(cbrt (* x (/ (sin y) y)))

rewrite17.0ms

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:

6.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
3.0ms	(cbrt (* x (/ (sin y) y)))
3.0ms	(cbrt (* x (/ (sin y) y)))
3.0ms	(cbrt (* x (/ (sin y) y)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y))))
122.0ms	(cbrt (* x (/ (sin y) y)))
126.0ms	(cbrt (* x (/ (sin y) y)))
123.0ms	(cbrt (* x (/ (sin y) y)))

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	100	1105
1	209	1005
2	627	892
3	2063	786
done	5001	784

prune240.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
done	10	8

end0.0ms

sample866.0ms

Algorithm

intervals

Results

259.0ms	963×	body	1280	valid
194.0ms	5218×	body	80	valid
160.0ms	972×	body	640	valid
70.0ms	551×	body	320	valid
24.0ms	296×	body	160	valid