Details

sample71.0ms

Algorithm

intervals

Results

28.0ms	89×	body	1280	valid
12.0ms	297×	body	80	valid
11.0ms	59×	body	640	valid
4.0ms	35×	body	320	valid
2.0ms	19×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	27	7
3	53	7
4	96	7
5	137	7
6	249	7
7	534	7
8	1148	7
9	1834	7
10	2173	7
11	2259	7
done	2259	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite12.0ms

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

Counts

2 → 65

Calls

2 calls:

8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series104.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (cosh x) (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify2.5s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	124	689
1	269	656
2	889	592
3	4073	590
done	5000	590

prune173.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite38.0ms

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×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 184

Calls

3 calls:

22.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
22.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify954.0ms

Counts

193 → 193

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	265	2378
1	627	1894
2	1490	1643
done	5001	1613

prune371.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.2b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`cosh-def`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

4.0ms	(* (cosh x) (sin y))
12.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series153.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (cosh x) (sin y))
79.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify3.1s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	144	785
1	376	651
2	1132	547
3	4725	545
done	5000	545

prune144.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.1b	(expm1 (log1p (* (cosh x) (sin y))))
0.2b	(* (expm1 (log1p (* (cosh x) (sin y)))) (/ 1 y))
0.3b	(log1p (* (cosh x) (sin y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-exp-log` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l`
5×	`expm1-log1p-u` `prod-exp`
4×	`log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod`
2×	`div-exp` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `rec-exp` `log1p-udef` `expm1-log1p` `cosh-def` `1-exp` `log1p-expm1` `associate-r/` `associate-l/` `un-div-inv` `div-inv` `expm1-udef`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* (cosh x) (sin y))
0.0ms	(expm1 (log1p (* (cosh x) (sin y))))
8.0ms	(* (expm1 (log1p (* (cosh x) (sin y)))) (/ 1 y))
0.0ms	(log1p (* (cosh x) (sin y)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (cosh x) (sin y))
114.0ms	(expm1 (log1p (* (cosh x) (sin y))))
117.0ms	(* (expm1 (log1p (* (cosh x) (sin y)))) (/ 1 y))
105.0ms	(log1p (* (cosh x) (sin y)))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	166	1122
1	366	870
2	997	771
3	4409	763
done	5000	763

prune232.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.2b 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	8	9
1	11	9
done	11	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

899.0ms	2914×	body	1280	valid
443.0ms	2449×	body	640	valid
377.0ms	8590×	body	80	valid
157.0ms	1187×	body	320	valid
67.0ms	696×	body	160	valid