Details

sample192.0ms

Algorithm

intervals

Results

87.0ms	103×	body	1280	valid
36.0ms	84×	body	640	valid
23.0ms	274×	body	80	valid
11.0ms	40×	body	320	valid
5.0ms	22×	body	160	valid

simplify1.3s

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	187	7
6	761	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

16.0ms	(* (cosh x) (/ (sin y) y))
13.0ms	(/ (sin y) y)

series146.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* (cosh x) (/ (sin y) y))
41.0ms	(/ (sin y) y)

simplify888.0ms

Counts

71 → 71

Iterations

Useful iterations: done (885.0ms)

Iter	Nodes	Cost
0	124	689
1	282	656
2	1254	592
done	5000	590

prune292.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

41.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
7.0ms	(/ y (sin y))
22.0ms	(/ 1 (/ y (sin y)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
44.0ms	(/ y (sin y))
30.0ms	(/ 1 (/ y (sin y)))

simplify555.0ms

Counts

193 → 193

Iterations

Useful iterations: done (546.0ms)

Iter	Nodes	Cost
0	265	2378
1	704	1908
done	5001	1772

prune490.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite205.0ms

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:

98.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
7.0ms	(/ 1 (sin y))
41.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
27.0ms	(/ 1 (sin y))
29.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.4s

Counts

494 → 494

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	630	8599
1	2228	6196
done	5000	5694

prune989.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

0.0ms	(expm1 (log1p (* (/ 1 y) (sin y))))
14.0ms	(* (cosh x) (expm1 (log1p (* (/ 1 y) (sin y)))))
26.0ms	(* (/ 1 y) (sin y))

series404.0ms

Counts

3 → 9

Calls

3 calls:

233.0ms	(expm1 (log1p (* (/ 1 y) (sin y))))
124.0ms	(* (cosh x) (expm1 (log1p (* (/ 1 y) (sin y)))))
47.0ms	(* (/ 1 y) (sin y))

simplify1.0s

Counts

78 → 78

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	141	856
1	320	749
2	1625	535
done	5001	528

prune311.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes219.0ms

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

sample4.9s

Algorithm

intervals

Results

1.9s	3051×	body	1280	valid
1.2s	8565×	body	80	valid
737.0ms	2358×	body	640	valid
366.0ms	1177×	body	320	valid
93.0ms	661×	body	160	valid