Details

sample166.0ms

Algorithm

intervals

Results

51.0ms	90×	body	1280	valid
45.0ms	308×	body	80	valid
27.0ms	68×	body	640	valid
9.0ms	38×	body	320	valid
4.0ms	22×	body	160	valid

simplify1.0s

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	179	7
6	751	7
done	5001	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

25.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(cosh x)
23.0ms	(/ (sin y) y)

series213.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(* (cosh x) (/ (sin y) y))
72.0ms	(cosh x)
28.0ms	(/ (sin y) y)

simplify972.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	130	729
1	300	697
2	1274	635
done	5000	635

prune405.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`cosh-def` `associate-l` `cbrt-unprod`
2×	`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

4 → 186

Calls

4 calls:

3.0ms	(cosh x)
58.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
14.0ms	(/ 1 (/ y (sin y)))
6.0ms	(/ y (sin y))

series221.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cosh x)
110.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
29.0ms	(/ 1 (/ y (sin y)))
26.0ms	(/ y (sin y))

simplify467.0ms

Counts

198 → 198

Iterations

Useful iterations: done (460.0ms)

Iter	Nodes	Cost
0	269	2400
1	719	1935
done	5001	1791

prune780.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
427×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
392×	`add-cube-cbrt`
174×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
36×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`cosh-def` `associate-l`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 487

Calls

4 calls:

2.0ms	(cosh x)
91.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
16.0ms	(/ 1 (sin y))
25.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cosh x)
110.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
20.0ms	(/ 1 (sin y))
48.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.9s

Counts

499 → 499

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	634	8613
1	2243	6511
done	5001	5718

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))
0.6b	(cbrt (/ 1 y))
0.6b	(cbrt (/ 1 y))
0.6b	(cbrt (/ 1 y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

37.0ms	(* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))
4.0ms	(cbrt (/ 1 y))
4.0ms	(cbrt (/ 1 y))
3.0ms	(cbrt (/ 1 y))

series942.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (/ 1 (sin y))) (cbrt (/ 1 (sin y))))
257.0ms	(cbrt (/ 1 y))
273.0ms	(cbrt (/ 1 y))
235.0ms	(cbrt (/ 1 y))

simplify872.0ms

Counts

165 → 165

Iterations

Useful iterations: done (865.0ms)

Iter	Nodes	Cost
0	185	2230
1	318	1904
2	944	1820
done	5000	1777

prune772.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes325.0ms

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

sample5.3s

Algorithm

intervals

Results

2.3s	2909×	body	1280	valid
1.2s	2504×	body	640	valid
799.0ms	8437×	body	80	valid
316.0ms	1249×	body	320	valid
85.0ms	581×	body	160	valid