Details

sample257.0ms

Algorithm

intervals

Results

120.0ms	179×	body	80	valid
31.0ms	27×	body	1280	valid
22.0ms	46×	body	640	valid
8.0ms	14×	body	320	valid
2.0ms	8×	body	160	valid

simplify861.0ms

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
1.9b	(/ (* x (/ (sin y) y)) z)

rewrite160.0ms

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:

46.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)
34.0ms	(/ (* x (/ (sin y) y)) z)

series556.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(* x (/ (sin y) y))
250.0ms	(/ (sin y) y)
188.0ms	(/ (* x (/ (sin y) y)) z)

simplify9.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1181
1	344
0	145

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
1.9b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite177.0ms

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:

12.0ms	(/ y (sin y))
76.0ms	(* x (/ 1 (/ y (sin y))))
23.0ms	(/ 1 (/ y (sin y)))
44.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series359.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ y (sin y))
110.0ms	(* x (/ 1 (/ y (sin y))))
50.0ms	(/ 1 (/ y (sin y)))
143.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify8.8s

Counts

227 → 227

Iterations

Iter	Nodes
done	5012
2	2407
1	785
0	294

prune2.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
2.0b	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
156×	`add-exp-log`
111×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
97×	`add-cube-cbrt`
67×	`prod-exp`
59×	`div-exp`
57×	`associate-r`
52×	`add-cbrt-cube`
20×	`rec-exp` `1-exp`
17×	`cbrt-undiv` `cbrt-unprod`
16×	`associate-/r*`
12×	`pow1`
11×	`div-inv`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `un-div-inv` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `associate-/r/` `-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 254

Calls

4 calls:

12.0ms	(/ y (sin y))
71.0ms	(* x (/ 1 (/ y (sin y))))
23.0ms	(/ 1 (/ y (sin y)))
127.0ms	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

series457.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ y (sin y))
175.0ms	(* x (/ 1 (/ y (sin y))))
52.0ms	(/ 1 (/ y (sin y)))
141.0ms	(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

simplify8.3s

Counts

266 → 266

Iterations

Iter	Nodes
done	5002
2	2919
1	954
0	341

prune3.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 2 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
206×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`div-inv`
16×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

2 → 246

Calls

2 calls:

11.0ms	(/ y (sin y))
45.0ms	(/ (/ x z) (/ y (sin y)))

series345.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(/ y (sin y))
240.0ms	(/ (/ x z) (/ y (sin y)))

simplify7.4s

Counts

252 → 252

Iterations

Iter	Nodes
done	5000
2	4936
1	1427
0	459

prune3.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes375.0ms

Accuracy

91.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.4b

bsearch157.0ms

Steps

Iters	Range		Point
8	87.84726908649233	263824.51516633737	1567.5260356147107
7	-3.797492101649676e+49	-4.610656989046551e+47	-3.709201162717755e+48

simplify6.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.6s	977×	body	1280	valid
1.2s	5857×	body	80	valid
930.0ms	1040×	body	640	valid
294.0ms	530×	body	320	valid
95.0ms	286×	body	160	valid