Details

sample51.0ms

Algorithm

intervals

Results

15.0ms	32×	body	1280	valid
11.0ms	191×	body	80	valid
8.0ms	31×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	12×	body	160	valid

simplify58.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
6	78
5	76
4	65
3	40
2	22
1	12
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.4b	(/ (* x (/ (sin y) y)) z)

rewrite45.0ms

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` `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 → 89

Calls

3 calls:

19.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
13.0ms	(/ (* x (/ (sin y) y)) z)

series184.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
93.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1179
1	344
0	145

prune521.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize18.0ms

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))
3.4b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite114.0ms

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

Counts

4 → 215

Calls

4 calls:

42.0ms	(* x (/ 1 (/ y (sin y))))
17.0ms	(/ 1 (/ y (sin y)))
8.0ms	(/ y (sin y))
32.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series270.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (/ 1 (/ y (sin y))))
54.0ms	(/ 1 (/ y (sin y)))
33.0ms	(/ y (sin y))
108.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.4s

Counts

227 → 227

Iterations

Iter	Nodes
done	5002
2	2389
1	795
0	294

prune927.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
3.4b	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

857×	`times-frac`
429×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
394×	`add-cube-cbrt`
183×	`add-exp-log`
174×	`associate-r`
116×	`div-exp`
61×	`add-cbrt-cube`
58×	`div-inv`
34×	`prod-exp`
31×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/r*`
17×	`associate-/l*`
10×	`cbrt-unprod` `unswap-sqr`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 527

Calls

4 calls:

69.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
8.0ms	(/ 1 (sin y))
18.0ms	(/ (/ 1 y) (/ 1 (sin y)))
26.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

series276.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
25.0ms	(/ 1 (sin y))
57.0ms	(/ (/ 1 y) (/ 1 (sin y)))
101.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

simplify2.5s

Counts

539 → 539

Iterations

Iter	Nodes
done	5000
2	4439
1	2062
0	671

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
3.6b	(/ x (/ z (/ (sin y) y)))

rewrite71.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

3 → 299

Calls

3 calls:

12.0ms	(/ z (/ (sin y) y))
7.0ms	(/ (sin y) y)
26.0ms	(/ x (/ z (/ (sin y) y)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ z (/ (sin y) y))
30.0ms	(/ (sin y) y)
118.0ms	(/ x (/ z (/ (sin y) y)))

simplify2.2s

Counts

308 → 308

Iterations

Iter	Nodes
done	5007
2	4724
1	1337
0	497

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes368.0ms

Accuracy

93.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.8b

bsearch136.0ms

Steps

Iters	Range		Point
9	1.8858956155785848e-06	20.852008069825544	0.001397275382843653
7	-8.665460962243007e+24	-3.9554820123738635e+22	-5.593196487055916e+24

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	5799×	body	80	valid
498.0ms	1018×	body	1280	valid
480.0ms	1029×	body	640	valid
123.0ms	564×	body	320	valid
101.0ms	302×	body	160	valid