Details

sample45.0ms

Algorithm

intervals

Results

10.0ms	205×	body	80	valid
7.0ms	21×	body	1280	valid
5.0ms	23×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid

simplify189.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.5b	(/ (* x (/ (sin y) y)) z)

rewrite60.0ms

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:

21.0ms	(* x (/ (sin y) y))
14.0ms	(/ (sin y) y)
17.0ms	(/ (* x (/ (sin y) y)) z)

series312.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(* x (/ (sin y) y))
66.0ms	(/ (sin y) y)
142.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1188
1	341
0	142

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.3b	(/ 1 (/ y (sin y)))
1.5b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite135.0ms

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×	`insert-posit16` `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 → 211

Calls

4 calls:

8.0ms	(/ y (sin y))
57.0ms	(* x (/ 1 (/ y (sin y))))
20.0ms	(/ 1 (/ y (sin y)))
30.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series445.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ y (sin y))
127.0ms	(* x (/ 1 (/ y (sin y))))
81.0ms	(/ 1 (/ y (sin y)))
141.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify4.1s

Counts

223 → 223

Iterations

Iter	Nodes
done	5008
2	2400
1	771
0	290

prune2.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.3b	(/ x (/ y (sin y)))
1.5b	(/ (/ x (/ y (sin y))) z)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
50×	`associate-/l*`
23×	`div-inv`
19×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 296

Calls

3 calls:

15.0ms	(/ y (sin y))
31.0ms	(/ x (/ y (sin y)))
55.0ms	(/ (/ x (/ y (sin y))) z)

series348.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ y (sin y))
122.0ms	(/ x (/ y (sin y)))
146.0ms	(/ (/ x (/ y (sin y))) z)

simplify5.2s

Counts

305 → 305

Iterations

Iter	Nodes
done	5044
2	3642
1	1232
0	493

prune4.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`*-un-lft-identity` `add-cube-cbrt`
52×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 166

Calls

4 calls:

3.0ms	(cbrt z)
3.0ms	(cbrt z)
3.0ms	(cbrt z)
133.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt z)
340.0ms	(cbrt z)
404.0ms	(cbrt z)
207.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify6.1s

Counts

178 → 178

Iterations

Iter	Nodes
done	5021
2	4336
1	1045
0	308

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes992.0ms

Accuracy

0% (2.9b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample2.5s

Algorithm

intervals

Results

783.0ms	1035×	body	640	valid
610.0ms	5844×	body	80	valid
501.0ms	1008×	body	1280	valid
176.0ms	581×	body	320	valid
48.0ms	312×	body	160	valid