Details

sample82.0ms

Algorithm

intervals

Results

31.0ms	98×	body	1280	valid
16.0ms	78×	body	640	valid
12.0ms	261×	body	80	valid
6.0ms	44×	body	320	valid
3.0ms	29×	body	160	valid

simplify6.5s

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	538	7
8	1157	7
9	1890	7
10	2438	7
11	2619	7
done	2619	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

3.0ms	(/ (sin y) y)
13.0ms	(* (cosh x) (/ (sin y) y))

series109.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (sin y) y)
77.0ms	(* (cosh x) (/ (sin y) y))

simplify2.7s

Counts

71 → 71

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	124	689
1	270	656
2	885	592
3	4023	590
done	5001	578

prune188.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:

5.0ms	(/ 1 (/ y (sin y)))
2.0ms	(/ y (sin y))
26.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

series130.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ 1 (/ y (sin y)))
23.0ms	(/ y (sin y))
81.0ms	(* (cosh x) (/ 1 (/ y (sin y))))

simplify2.1s

Counts

193 → 193

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	265	2378
1	628	2016
2	1645	1643
done	5001	1631

prune409.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

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

series107.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (sin y) y)
81.0ms	(* (cosh x) (/ (sin y) y))

simplify2.7s

Counts

71 → 71

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	124	689
1	270	656
2	885	592
3	4023	590
done	5001	578

prune176.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

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×	`expm1-log1p-u` `associate-l` `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/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 485

Calls

3 calls:

2.0ms	(/ 1 (sin y))
15.0ms	(/ (/ 1 y) (/ 1 (sin y)))
62.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

series123.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1 (sin y))
27.0ms	(/ (/ 1 y) (/ 1 (sin y)))
80.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))

simplify3.2s

Counts

494 → 494

Iterations

Useful iterations: 2 (2.5s)

Iter	Nodes	Cost
0	630	8599
1	1856	6822
2	4403	5095
done	5001	5095

prune782.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.3b

regimes208.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

968.0ms	3022×	body	1280	valid
502.0ms	2538×	body	640	valid
403.0ms	8613×	body	80	valid
160.0ms	1192×	body	320	valid
60.0ms	634×	body	160	valid