Details

sample69.0ms

Algorithm

intervals

Results

26.0ms	89×	body	1280	valid
13.0ms	297×	body	80	valid
10.0ms	59×	body	640	valid
4.0ms	35×	body	320	valid
2.0ms	19×	body	160	valid

simplify3.8s

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	94	7
5	134	7
6	270	7
7	685	7
8	1452	7
9	2590	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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

Counts

2 → 61

Calls

2 calls:

7.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series103.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (cosh x) (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify494.0ms

Counts

67 → 67

Iterations

Useful iterations: done (489.0ms)

Iter	Nodes	Cost
0	120	663
1	268	632
2	1076	568
done	5000	552

prune152.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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×	`associate-l` `cbrt-unprod` `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 → 178

Calls

3 calls:

23.0ms	(* (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:

76.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
21.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify1.6s

Counts

187 → 187

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	259	2334
1	629	1980
2	2430	1611
done	5000	1595

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cosh x))
0.0b	(* (sqrt (cosh x)) (/ (sqrt (cosh x)) (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ (sqrt (cosh x)) (/ y (sin y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
194×	`add-sqr-sqrt`
161×	`add-cube-cbrt` `*-un-lft-identity`
96×	`sqrt-prod`
83×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*` `div-inv`
10×	`unswap-sqr`
9×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l`
4×	`cosh-def` `sqrt-div` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 271

Calls

4 calls:

1.0ms	(sqrt (cosh x))
33.0ms	(* (sqrt (cosh x)) (/ (sqrt (cosh x)) (/ y (sin y))))
2.0ms	(/ y (sin y))
7.0ms	(/ (sqrt (cosh x)) (/ y (sin y)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sqrt (cosh x))
76.0ms	(* (sqrt (cosh x)) (/ (sqrt (cosh x)) (/ y (sin y))))
21.0ms	(/ y (sin y))
106.0ms	(/ (sqrt (cosh x)) (/ y (sin y)))

simplify1.4s

Counts

283 → 283

Iterations

Useful iterations: 2 (323.0ms)

Iter	Nodes	Cost
0	348	4583
1	833	4054
2	3421	3781
done	5000	3781

prune658.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-l` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 479

Calls

3 calls:

59.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
2.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
27.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.1s

Counts

488 → 488

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	624	8547
1	1860	6781
done	5000	5251

prune677.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

858.0ms	2914×	body	1280	valid
442.0ms	2449×	body	640	valid
369.0ms	8590×	body	80	valid
152.0ms	1187×	body	320	valid
60.0ms	696×	body	160	valid