Details

sample216.0ms

Algorithm

intervals

Results

104.0ms	104×	body	1280	valid
40.0ms	81×	body	640	valid
28.0ms	279×	body	80	valid
15.0ms	46×	body	320	valid
3.0ms	16×	body	160	valid

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	100	7
5	145	7
6	223	7
7	419	7
8	1004	7
9	1898	7
10	2239	7
11	2341	7
done	2341	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:

33.0ms	(* (cosh x) (/ (sin y) y))
19.0ms	(/ (sin y) y)

series199.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(* (cosh x) (/ (sin y) y))
60.0ms	(/ (sin y) y)

simplify2.9s

Counts

71 → 71

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	124	689
1	263	656
2	868	592
3	3123	590
done	5000	578

prune308.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.3b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite73.0ms

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:

29.0ms	(* (cosh x) (sin y))
40.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series202.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (cosh x) (sin y))
117.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify3.9s

Counts

69 → 69

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	144	785
1	347	651
2	1082	547
3	3998	545
done	5001	545

prune219.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

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:

22.0ms	(* (cosh x) (sin y))
0.0ms	(expm1 (log1p (* (cosh x) (sin y))))
1.0ms	(log1p (* (cosh x) (sin y)))
38.0ms	(* (expm1 (log1p (* (cosh x) (sin y)))) (/ 1 y))

series630.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cosh x) (sin y))
191.0ms	(expm1 (log1p (* (cosh x) (sin y))))
155.0ms	(log1p (* (cosh x) (sin y)))
181.0ms	(* (expm1 (log1p (* (cosh x) (sin y)))) (/ 1 y))

simplify3.3s

Counts

93 → 93

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	166	1122
1	355	870
2	989	765
3	3667	757
done	5000	756

prune397.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.5b	(/ 1 (/ y (sin y)))

rewrite79.0ms

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:

40.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
7.0ms	(/ y (sin y))
22.0ms	(/ 1 (/ y (sin y)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
34.0ms	(/ y (sin y))
34.0ms	(/ 1 (/ y (sin y)))

simplify3.2s

Counts

193 → 193

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	265	2378
1	592	1894
2	1437	1643
3	4623	1611
done	5000	1611

prune394.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.6s	2998×	body	1280	valid
1.4s	2485×	body	640	valid
777.0ms	8593×	body	80	valid
300.0ms	1255×	body	320	valid
135.0ms	567×	body	160	valid