Details

sample72.0ms

Algorithm

intervals

Results

14.0ms	186×	body	80	valid
14.0ms	30×	body	1280	valid
14.0ms	42×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify88.0ms

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

localize26.0ms

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)

rewrite46.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

12.0ms	(* x (/ (sin y) y))
11.0ms	(/ (sin y) y)
21.0ms	(/ (* x (/ (sin y) y)) z)

series208.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)
93.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1731
1	352
0	145

prune601.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

13.0ms	(/ (/ (sin y) y) z)
7.0ms	(/ (sin y) y)
30.0ms	(* x (/ (/ (sin y) y) z))

series204.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (/ (sin y) y) z)
43.0ms	(/ (sin y) y)
96.0ms	(* x (/ (/ (sin y) y) z))

simplify1.8s

Counts

177 → 177

Iterations

Iter	Nodes
done	5002
2	3219
1	662
0	254

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)))

rewrite66.0ms

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×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`clear-num` `frac-2neg`

Counts

3 → 122

Calls

3 calls:

11.0ms	(/ (sin y) y)
21.0ms	(* (/ (sin y) y) (/ 1 z))
29.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (sin y) y)
71.0ms	(* (/ (sin y) y) (/ 1 z))
103.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify2.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	3396
1	568
0	199

prune566.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))

rewrite162.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`div-inv`

Counts

3 → 147

Calls

3 calls:

35.0ms	(* (* (sin y) (/ 1 y)) (/ 1 z))
15.0ms	(* (sin y) (/ 1 y))
106.0ms	(* x (* (* (sin y) (/ 1 y)) (/ 1 z)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (* (sin y) (/ 1 y)) (/ 1 z))
45.0ms	(* (sin y) (/ 1 y))
101.0ms	(* x (* (* (sin y) (/ 1 y)) (/ 1 z)))

simplify892.0ms

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
1	719
0	229

prune538.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes694.0ms

Accuracy

91.6% (0.3b remaining)

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

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	19

end0.0ms

sample2.6s

Algorithm

intervals

Results

929.0ms	5892×	body	80	valid
596.0ms	994×	body	1280	valid
387.0ms	986×	body	640	valid
135.0ms	558×	body	320	valid
52.0ms	311×	body	160	valid