Details

sample135.0ms

Algorithm

intervals

Results

49.0ms	101×	body	1280	valid
29.0ms	89×	body	640	valid
22.0ms	289×	body	80	valid
10.0ms	46×	body	320	valid
4.0ms	20×	body	160	valid

simplify8.0s

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	96	7
5	137	7
6	211	7
7	393	7
8	942	7
9	1761	7
10	2051	7
11	2171	7
done	2171	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

16.0ms	(* (cosh x) (/ (sin y) y))
15.0ms	(/ (sin y) y)

series138.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* (cosh x) (/ (sin y) y))
40.0ms	(/ (sin y) y)

simplify3.0s

Counts

67 → 67

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	120	663
1	255	632
2	838	568
3	3058	568
done	5000	556

prune195.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite83.0ms

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:

52.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
8.0ms	(/ y (sin y))
15.0ms	(/ 1 (/ y (sin y)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
26.0ms	(/ y (sin y))
40.0ms	(/ 1 (/ y (sin y)))

simplify3.5s

Counts

187 → 187

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	259	2334
1	580	1858
2	1415	1611
3	4524	1581
done	5000	1581

prune500.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite155.0ms

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:

84.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
7.0ms	(/ 1 (sin y))
23.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
16.0ms	(/ 1 (sin y))
31.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify2.2s

Counts

488 → 488

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	624	8547
1	1629	5947
2	3152	5063
done	5001	4983

prune858.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series595.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt y)
103.0ms	(cbrt (sin y))
124.0ms	(cbrt (sin y))
105.0ms	(cbrt (sin y))

simplify2.8s

Counts

56 → 56

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	49	341
1	91	319
2	189	286
3	411	274
4	1084	274
5	3847	274
done	5000	274

prune248.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes239.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.8s	2939×	body	1280	valid
1.2s	8469×	body	80	valid
951.0ms	2441×	body	640	valid
724.0ms	1244×	body	320	valid
177.0ms	616×	body	160	valid