Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	46×	body	640	valid
16.0ms	179×	body	80	valid
16.0ms	27×	body	1280	valid
4.0ms	14×	body	320	valid
2.0ms	8×	body	160	valid

simplify128.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize27.0ms

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)

rewrite81.0ms

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:

26.0ms	(* x (/ (sin y) y))
16.0ms	(/ (sin y) y)
26.0ms	(/ (* x (/ (sin y) y)) z)

series406.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* x (/ (sin y) y))
150.0ms	(/ (sin y) y)
148.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1180
1	338
0	139

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
0.9b	(/ 1 (/ z (* x (/ (sin y) y))))
1.8b	(/ z (* x (/ (sin y) y)))

rewrite129.0ms

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:

33.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)
44.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
25.0ms	(/ z (* x (/ (sin y) y)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* x (/ (sin y) y))
56.0ms	(/ (sin y) y)
147.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
446.0ms	(/ z (* x (/ (sin y) y)))

simplify4.6s

Counts

159 → 159

Iterations

Iter	Nodes
done	5003
2	1842
1	525
0	220

prune2.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

18.0ms	(/ (sin y) y)
52.0ms	(* (/ x z) (/ (sin y) y))

series234.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (sin y) y)
181.0ms	(* (/ x z) (/ (sin y) y))

simplify9.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1507
1	387
0	140

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize161.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
1.0b	(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) (/ (sin y) y)))
1.6b	(* (/ x (cbrt z)) (/ (sin y) y))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

167×	`add-exp-log`
82×	`prod-exp`
67×	`add-cbrt-cube`
52×	`div-exp`
47×	`add-sqr-sqrt`
37×	`times-frac`
36×	`cbrt-unprod`
29×	`associate-l`
28×	`add-cube-cbrt` `*-un-lft-identity`
26×	`cbrt-undiv`
17×	`cbrt-prod`
14×	`associate-r`
11×	`pow1`
10×	`rec-exp` `1-exp`
6×	`frac-times` `associate-*r/` `unswap-sqr`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 158

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
191.0ms	(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) (/ (sin y) y)))
117.0ms	(* (/ x (cbrt z)) (/ (sin y) y))

series1.7s

Counts

4 → 12

Calls

4 calls:

503.0ms	(cbrt z)
802.0ms	(cbrt z)
171.0ms	(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) (/ (sin y) y)))
263.0ms	(* (/ x (cbrt z)) (/ (sin y) y))

simplify4.1s

Counts

170 → 170

Iterations

Iter	Nodes
done	5020
2	2688
1	767
0	245

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

87.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.8b

bsearch510.0ms

Steps

Iters	Range		Point
8	87.84726908649233	263824.51516633737	184.39165382930236
4	-1.071997153553084e+105	-7.133916773961665e+104	-7.470109407858776e+104

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample9.1s

Algorithm

intervals

Results

4.4s	5857×	body	80	valid
2.0s	1040×	body	640	valid
1.6s	977×	body	1280	valid
487.0ms	530×	body	320	valid
79.0ms	286×	body	160	valid