Details

sample36.0ms

Algorithm

intervals

Results

8.0ms	31×	body	1280	valid
8.0ms	195×	body	80	valid
6.0ms	33×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify45.0ms

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: 2.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.3b	(/ (* x (/ (sin y) y)) z)

rewrite41.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

14.0ms	(* x (/ (sin y) y))
11.0ms	(/ (sin y) y)
13.0ms	(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	145	935
1	323	898
2	1027	782
3	4743	779
done	5002	779

prune230.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))
2.3b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 215

Calls

4 calls:

32.0ms	(* x (/ 1 (/ y (sin y))))
11.0ms	(/ 1 (/ y (sin y)))
5.0ms	(/ y (sin y))
24.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series192.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (/ 1 (/ y (sin y))))
27.0ms	(/ 1 (/ y (sin y)))
31.0ms	(/ y (sin y))
72.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.0s

Counts

227 → 227

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	294	2749
1	667	2189
2	1574	1854
done	5001	1833

prune410.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `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 → 111

Calls

3 calls:

14.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
34.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series155.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)
70.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify1.8s

Counts

120 → 120

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	185	1320
1	438	1156
2	1379	966
done	5000	963

prune253.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
2.3b	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`times-frac`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
15×	`cbrt-div`
14×	`add-cbrt-cube`
10×	`associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 106

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
123.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

series509.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (/ (sin y) y))
136.0ms	(cbrt (/ (sin y) y))
138.0ms	(cbrt (/ (sin y) y))
97.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

simplify1.2s

Counts

118 → 118

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	160	1721
1	351	1672
2	1192	1226
done	5001	1112

prune365.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

81.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch65.0ms

Steps

Iters	Range		Point
9	1.6360223117862475e-18	7.445648313582303e-12	7.2883546382044e-12
5	-1.165871651878295e+140	-3.054688651433521e+139	-3.1269292880242383e+139

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	27	36
done	27	36

end0.0ms

sample1.1s

Algorithm

intervals

Results

293.0ms	1036×	body	1280	valid
248.0ms	5823×	body	80	valid
183.0ms	1012×	body	640	valid
75.0ms	594×	body	320	valid
27.0ms	308×	body	160	valid