Details

sample79.0ms

Algorithm

intervals

Results

21.0ms	197×	body	80	valid
20.0ms	31×	body	640	valid
17.0ms	25×	body	1280	valid
4.0ms	14×	body	320	valid
3.0ms	14×	body	160	valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	48
2	24
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.0b	(/ (* x (/ (sin y) y)) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 92

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)
12.0ms	(/ (* x (/ (sin y) y)) z)

series211.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* x (/ (sin y) y))
46.0ms	(/ (sin y) y)
102.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1231
1	347
0	148

prune472.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
2.4b	(/ x (/ z (/ (sin y) y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

3 → 302

Calls

3 calls:

13.0ms	(/ z (/ (sin y) y))
16.0ms	(/ (sin y) y)
16.0ms	(/ x (/ z (/ (sin y) y)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ z (/ (sin y) y))
38.0ms	(/ (sin y) y)
124.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.5s

Counts

311 → 311

Iterations

Iter	Nodes
done	5001
1	1340
0	500

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))
2.4b	(/ x (/ z (/ 1 (/ y (sin y)))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

2211×	`times-frac`
977×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
197×	`associate-/r*`
76×	`div-inv`
64×	`add-exp-log`
44×	`div-exp`
34×	`add-cbrt-cube`
23×	`associate-/r/`
20×	`cbrt-undiv`
12×	`associate-/l*`
6×	`rec-exp` `1-exp`
5×	`pow1`
4×	`expm1-log1p-u` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

4 → 889

Calls

4 calls:

9.0ms	(/ z (/ 1 (/ y (sin y))))
5.0ms	(/ y (sin y))
13.0ms	(/ 1 (/ y (sin y)))
30.0ms	(/ x (/ z (/ 1 (/ y (sin y)))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ z (/ 1 (/ y (sin y))))
35.0ms	(/ y (sin y))
37.0ms	(/ 1 (/ y (sin y)))
123.0ms	(/ x (/ z (/ 1 (/ y (sin y)))))

simplify2.9s

Counts

901 → 901

Iterations

Iter	Nodes
done	5001
1	3866
0	1390

prune4.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
2.4b	(/ x (/ z (/ (/ 1 y) (/ 1 (sin y)))))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

11069×	`times-frac`
4539×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
717×	`associate-/r*`
468×	`div-inv`
183×	`add-exp-log`
150×	`div-exp`
61×	`add-cbrt-cube`
41×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
23×	`associate-/r/`
22×	`associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 3148

Calls

4 calls:

25.0ms	(/ z (/ (/ 1 y) (/ 1 (sin y))))
7.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))
26.0ms	(/ x (/ z (/ (/ 1 y) (/ 1 (sin y)))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ z (/ (/ 1 y) (/ 1 (sin y))))
29.0ms	(/ 1 (sin y))
58.0ms	(/ (/ 1 y) (/ 1 (sin y)))
110.0ms	(/ x (/ z (/ (/ 1 y) (/ 1 (sin y)))))

simplify8.3s

Counts

3160 → 3160

Iterations

Iter	Nodes
done	5000
0	4379

prune16.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes245.0ms

Accuracy

-7.3% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 3.0b

bsearch80.0ms

Steps

Iters	Range		Point
10	-4.451961833520596e+211	-2.8199552990450497e+192	-1.614448996584022e+210

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.0s	1009×	body	1280	valid
967.0ms	5852×	body	80	valid
668.0ms	1031×	body	640	valid
231.0ms	559×	body	320	valid
85.0ms	317×	body	160	valid