Details

sample70.0ms

Algorithm

intervals

Results

24.0ms	36×	body	640	valid
16.0ms	39×	body	1280	valid
11.0ms	175×	body	80	valid
4.0ms	19×	body	320	valid
2.0ms	14×	body	160	valid

simplify52.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
3.6b	(/ (* x (/ (sin y) y)) z)

rewrite50.0ms

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:

15.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
23.0ms	(/ (* x (/ (sin y) y)) z)

series188.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)
90.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.8s

Counts

92 → 92

Iterations

Useful iterations: 2 (258.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1016	741
3	4714	741
done	5000	741

prune324.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
1.7b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`add-cube-cbrt` `*-un-lft-identity`
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×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 162

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
129.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series976.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt z)
248.0ms	(cbrt z)
301.0ms	(cbrt z)
172.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify2.3s

Counts

174 → 174

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	306	2938
1	951	2772
2	4011	2198
done	5000	2080

prune705.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.2b	(/ (sin y) y)
3.0b	(* x (/ (/ (sin y) y) z))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

29.0ms	(/ (/ (sin y) y) z)
17.0ms	(/ (sin y) y)
64.0ms	(* x (/ (/ (sin y) y) z))

series204.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (/ (sin y) y) z)
34.0ms	(/ (sin y) y)
112.0ms	(* x (/ (/ (sin y) y) z))

simplify1.6s

Counts

171 → 171

Iterations

Useful iterations: 2 (413.0ms)

Iter	Nodes	Cost
0	248	2083
1	582	1961
2	1612	1831
done	5000	1831

prune658.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (/ (sin y) y) (/ 1 z))
0.2b	(/ (sin y) y)
3.0b	(* x (* (/ (sin y) y) (/ 1 z)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
34×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp`
17×	`div-exp`
16×	`associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
10×	`pow1`
9×	`cbrt-undiv`
6×	`associate-*r/` `unswap-sqr`
4×	`rec-exp` `1-exp` `pow-prod-down`
3×	`associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

53.0ms	(* (/ (sin y) y) (/ 1 z))
17.0ms	(/ (sin y) y)
50.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (/ (sin y) y) (/ 1 z))
41.0ms	(/ (sin y) y)
91.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify2.5s

Counts

125 → 125

Iterations

Useful iterations: 2 (357.0ms)

Iter	Nodes	Cost
0	193	1473
1	487	1256
2	1484	1018
done	5000	1018

prune297.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes356.0ms

Accuracy

93.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	42
1	20	35
done	20	35

end0.0ms

sample2.4s

Algorithm

intervals

Results

880.0ms	1042×	body	1280	valid
620.0ms	5799×	body	80	valid
356.0ms	1015×	body	640	valid
129.0ms	558×	body	320	valid
98.0ms	318×	body	160	valid