Details

sample118.0ms

Algorithm

intervals

Results

27.0ms	34×	body	1280	valid
23.0ms	179×	body	80	valid
18.0ms	33×	body	640	valid
9.0ms	22×	body	320	valid
4.0ms	15×	body	160	valid

simplify289.0ms

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize67.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.3b	(/ (* x (/ (sin y) y)) z)

rewrite139.0ms

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×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

38.0ms	(* x (/ (sin y) y))
36.0ms	(/ (sin y) y)
59.0ms	(/ (* x (/ (sin y) y)) z)

series300.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* x (/ (sin y) y))
57.0ms	(/ (sin y) y)
143.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.7s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1188
1	341
0	142

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.5b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-l` `pow-prod-down` `associate-*r/`
3×	`rec-exp` `associate-/r` `1-exp` `insert-posit16` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*l/` `un-div-inv`

Counts

3 → 108

Calls

3 calls:

50.0ms	(* x (/ (sin y) y))
40.0ms	(/ (sin y) y)
114.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series316.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(* x (/ (sin y) y))
47.0ms	(/ (sin y) y)
154.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify4.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	1702
1	477
0	182

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize118.0ms

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)

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
30×	`times-frac`
27×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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` `div-exp` `insert-posit16` `div-inv` `add-log-exp`
3×	`associate-/r*` `pow1/3`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

12.0ms	(cbrt (/ (sin y) y))
11.0ms	(cbrt (/ (sin y) y))
11.0ms	(cbrt (/ (sin y) y))
380.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

307.0ms	(cbrt (/ (sin y) y))
299.0ms	(cbrt (/ (sin y) y))
331.0ms	(cbrt (/ (sin y) y))
230.0ms	(/ (* x (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))) z)

simplify3.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5004
2	1225
1	359
0	158

prune1.6s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize96.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.2b	(/ (sin y) y)
3.2b	(/ x (/ z (/ (sin y) y)))

rewrite185.0ms

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×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`

Counts

3 → 296

Calls

3 calls:

28.0ms	(/ z (/ (sin y) y))
41.0ms	(/ (sin y) y)
64.0ms	(/ x (/ z (/ (sin y) y)))

series458.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(/ z (/ (sin y) y))
71.0ms	(/ (sin y) y)
208.0ms	(/ x (/ z (/ (sin y) y)))

simplify8.2s

Counts

305 → 305

Iterations

Iter	Nodes
done	5006
2	4849
1	1300
0	494

prune3.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes1.3s

Accuracy

94.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample2.6s

Algorithm

intervals

Results

926.0ms	5788×	body	80	valid
651.0ms	1007×	body	1280	valid
456.0ms	1056×	body	640	valid
140.0ms	527×	body	320	valid
58.0ms	329×	body	160	valid