Details

sample74.0ms

Algorithm

intervals

Results

18.0ms	33×	body	1280	valid
16.0ms	188×	body	80	valid
11.0ms	31×	body	640	valid
5.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ (* x (/ (sin y) y)) z)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

31.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)
15.0ms	(/ (* x (/ (sin y) y)) z)

series237.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* x (/ (sin y) y))
42.0ms	(/ (sin y) y)
117.0ms	(/ (* x (/ (sin y) y)) z)

simplify4.2s

Counts

92 → 92

Iterations

Useful iterations: 2 (262.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1016	741
3	4714	741
done	5000	741

prune354.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 105

Calls

3 calls:

32.0ms	(* x (/ (sin y) y))
18.0ms	(/ (sin y) y)
64.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series244.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* x (/ (sin y) y))
48.0ms	(/ (sin y) y)
113.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify2.4s

Counts

114 → 114

Iterations

Useful iterations: 2 (373.0ms)

Iter	Nodes	Cost
0	179	1274
1	431	1115
2	1374	925
done	5000	925

prune383.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.7b	(/ 1 (/ z (* x (/ (sin y) y))))
2.7b	(/ z (* x (/ (sin y) y)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 147

Calls

4 calls:

26.0ms	(* x (/ (sin y) y))
19.0ms	(/ (sin y) y)
40.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
12.0ms	(/ z (* x (/ (sin y) y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
80.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
143.0ms	(/ z (* x (/ (sin y) y)))

simplify1.1s

Counts

159 → 159

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	220	1903
1	485	1720
2	1407	1461
done	5000	1435

prune383.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
0.7b	(/ 1 (/ z (* x (/ 1 (/ y (sin y))))))
2.7b	(/ z (* x (/ 1 (/ y (sin y)))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

141×	`add-exp-log`
126×	`times-frac`
86×	`div-exp`
74×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
45×	`add-cbrt-cube`
28×	`prod-exp`
26×	`associate-/r*`
23×	`cbrt-undiv`
19×	`rec-exp` `1-exp`
12×	`associate-/r/` `div-inv` `associate-/l*`
6×	`pow1` `cbrt-unprod`
5×	`associate-*r/` `un-div-inv`
4×	`frac-2neg` `clear-num` `add-log-exp`
2×	`pow-flip` `inv-pow`

Counts

4 → 218

Calls

4 calls:

6.0ms	(/ y (sin y))
13.0ms	(/ 1 (/ y (sin y)))
55.0ms	(/ 1 (/ z (* x (/ 1 (/ y (sin y))))))
22.0ms	(/ z (* x (/ 1 (/ y (sin y)))))

series355.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ y (sin y))
39.0ms	(/ 1 (/ y (sin y)))
124.0ms	(/ 1 (/ z (* x (/ 1 (/ y (sin y))))))
160.0ms	(/ z (* x (/ 1 (/ y (sin y)))))

simplify1.4s

Counts

230 → 230

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	315	3236
1	674	2565
2	1578	2074
done	5000	2054

prune485.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes247.0ms

Accuracy

76.6% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	46
1	26	37
done	26	37

end0.0ms

sample2.6s

Algorithm

intervals

Results

960.0ms	1029×	body	1280	valid
675.0ms	5849×	body	80	valid
305.0ms	968×	body	640	valid
172.0ms	551×	body	320	valid
44.0ms	270×	body	160	valid