Details

sample51.0ms

Algorithm

intervals

Results

11.0ms	168×	body	80	valid
11.0ms	26×	body	1280	valid
10.0ms	35×	body	640	valid
2.0ms	11×	body	320	valid
2.0ms	16×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

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)

rewrite45.0ms

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` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

30.0ms	(* x (/ (sin y) y))
12.0ms	(/ (sin y) y)

series107.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (/ (sin y) y))
39.0ms	(/ (sin y) y)

simplify4.7s

Counts

65 → 65

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	98	571
1	208	545
2	562	493
3	1529	493
4	4620	493
done	5000	493

prune253.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 176

Calls

3 calls:

50.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* x (/ 1 (/ y (sin y))))
42.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ y (sin y)))

simplify2.7s

Counts

185 → 185

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	238	2193
1	534	1726
2	1063	1493
3	2914	1475
done	5000	1475

prune462.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-sqr-sqrt` `add-cbrt-cube`
26×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
18×	`rec-exp` `1-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`associate-r/` `associate-/r` `associate-/r/` `un-div-inv` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip` `pow-prod-down`
2×	`frac-2neg` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 151

Calls

4 calls:

59.0ms	(* x (/ 1 (* y (/ 1 (sin y)))))
10.0ms	(/ 1 (sin y))
24.0ms	(/ 1 (* y (/ 1 (sin y))))
32.0ms	(* y (/ 1 (sin y)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (/ 1 (* y (/ 1 (sin y)))))
15.0ms	(/ 1 (sin y))
30.0ms	(/ 1 (* y (/ 1 (sin y))))
26.0ms	(* y (/ 1 (sin y)))

simplify3.4s

Counts

163 → 163

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	192	1650
1	420	1151
2	1002	931
3	3469	931
done	5000	931

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (/ 1 (sin y)))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ (sin y) y))
0.4b	(cbrt (/ 1 (* y (/ 1 (sin y)))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod` `add-sqr-sqrt`
32×	`times-frac`
29×	`*-un-lft-identity`
28×	`add-cube-cbrt`
13×	`add-exp-log` `associate-r`
9×	`add-cbrt-cube`
6×	`pow1`
4×	`prod-exp` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-l` `unswap-sqr`
2×	`associate-*r/` `div-exp` `associate-/r/` `un-div-inv` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative`

Counts

4 → 98

Calls

4 calls:

34.0ms	(* y (/ 1 (sin y)))
5.0ms	(cbrt (/ (sin y) y))
5.0ms	(cbrt (/ (sin y) y))
24.0ms	(cbrt (/ 1 (* y (/ 1 (sin y)))))

series611.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* y (/ 1 (sin y)))
174.0ms	(cbrt (/ (sin y) y))
193.0ms	(cbrt (/ (sin y) y))
193.0ms	(cbrt (/ 1 (* y (/ 1 (sin y)))))

simplify3.7s

Counts

110 → 110

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	172	1185
1	326	1019
2	605	908
3	1185	893
4	2427	868
done	5000	860

prune509.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
done	10	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	935×	body	1280	valid
453.0ms	5177×	body	80	valid
358.0ms	1000×	body	640	valid
181.0ms	558×	body	320	valid
55.0ms	330×	body	160	valid