Details

sample61.0ms

Algorithm

intervals

Results

12.0ms	186×	body	80	valid
11.0ms	30×	body	1280	valid
11.0ms	42×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify84.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.1b	(/ (* x (/ (sin y) y)) z)

rewrite39.0ms

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

Counts

3 → 83

Calls

3 calls:

16.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)
11.0ms	(/ (* x (/ (sin y) y)) z)

series251.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* x (/ (sin y) y))
58.0ms	(/ (sin y) y)
111.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1724
1	346
0	139

prune550.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`*-un-lft-identity` `add-cube-cbrt`
43×	`associate-r`
19×	`add-cbrt-cube` `add-exp-log`
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×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

23.0ms	(/ (/ (sin y) y) z)
10.0ms	(/ (sin y) y)
26.0ms	(* x (/ (/ (sin y) y) z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (/ (sin y) y) z)
41.0ms	(/ (sin y) y)
102.0ms	(* x (/ (/ (sin y) y) z))

simplify1.7s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	3314
1	666
0	248

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.2b	(* (/ (sin y) y) (/ 1 z))
3.0b	(* x (* (/ (sin y) y) (/ 1 z)))

rewrite95.0ms

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×	`clear-num` `frac-2neg`

Counts

3 → 116

Calls

3 calls:

13.0ms	(/ (sin y) y)
33.0ms	(* (/ (sin y) y) (/ 1 z))
40.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (sin y) y)
45.0ms	(* (/ (sin y) y) (/ 1 z))
106.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify2.7s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	3482
1	560
0	193

prune674.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (sin y) (/ 1 y)) (/ 1 z))
0.3b	(* (sin y) (/ 1 y))
3.0b	(* x (* (* (sin y) (/ 1 y)) (/ 1 z)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

164×	`add-exp-log`
97×	`prod-exp`
58×	`add-cbrt-cube`
38×	`div-exp`
29×	`cbrt-unprod`
27×	`associate-r`
26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`pow1` `rec-exp` `1-exp` `add-cube-cbrt`
13×	`associate-*r/`
11×	`cbrt-undiv`
10×	`pow-prod-down`
7×	`associate-l` `un-div-inv`
4×	`frac-times` `associate-*l/`
3×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`div-inv`

Counts

3 → 141

Calls

3 calls:

42.0ms	(* (* (sin y) (/ 1 y)) (/ 1 z))
19.0ms	(* (sin y) (/ 1 y))
107.0ms	(* x (* (* (sin y) (/ 1 y)) (/ 1 z)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (* (sin y) (/ 1 y)) (/ 1 z))
41.0ms	(* (sin y) (/ 1 y))
95.0ms	(* x (* (* (sin y) (/ 1 y)) (/ 1 z)))

simplify3.8s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	4275
1	712
0	223

prune682.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes730.0ms

Accuracy

91.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	30
1	30
0	21

end0.0ms

sample2.4s

Algorithm

intervals

Results

823.0ms	5892×	body	80	valid
481.0ms	994×	body	1280	valid
400.0ms	986×	body	640	valid
162.0ms	558×	body	320	valid
89.0ms	311×	body	160	valid