Details

sample81.0ms

Algorithm

intervals

Results

34.0ms	36×	body	1280	valid
18.0ms	173×	body	80	valid
10.0ms	21×	body	640	valid
6.0ms	19×	body	320	valid
2.0ms	7×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

10.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series148.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(* x (/ (sin y) y))
49.0ms	(/ (sin y) y)

simplify1.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5147
3	3212
2	749
1	234
0	104

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

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

series610.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt y)
132.0ms	(cbrt (sin y))
111.0ms	(cbrt (sin y))
121.0ms	(cbrt (sin y))

simplify2.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
5	3981
4	1337
3	513
2	230
1	103
0	55

prune361.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
7.1b	(/ (* x (sin y)) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

13.0ms	(* x (sin y))
17.0ms	(/ (* x (sin y)) y)

series122.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* x (sin y))
74.0ms	(/ (* x (sin y)) y)

simplify1.5s

Counts

51 → 51

Iterations

Iter	Nodes
done	5041
3	2754
2	513
1	166
0	76

prune204.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sqrt (/ (sin y) y)))
0.1b	(* (* x (sqrt (/ (sin y) y))) (sqrt (/ (sin y) y)))
0.1b	(/ (sin y) y)
0.1b	(/ (sin y) y)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

11.0ms	(* x (sqrt (/ (sin y) y)))
34.0ms	(* (* x (sqrt (/ (sin y) y))) (sqrt (/ (sin y) y)))
13.0ms	(/ (sin y) y)
8.0ms	(/ (sin y) y)

series239.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (sqrt (/ (sin y) y)))
81.0ms	(* (* x (sqrt (/ (sin y) y))) (sqrt (/ (sin y) y)))
42.0ms	(/ (sin y) y)
47.0ms	(/ (sin y) y)

simplify1.7s

Counts

146 → 146

Iterations

Iter	Nodes
done	5003
2	1636
1	441
0	181

prune705.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	1002×	body	640	valid
731.0ms	5194×	body	80	valid
686.0ms	932×	body	1280	valid
238.0ms	570×	body	320	valid
71.0ms	302×	body	160	valid