Details

sample70.0ms

Algorithm

intervals

Results

20.0ms	162×	body	80	valid
14.0ms	27×	body	1280	valid
11.0ms	33×	body	640	valid
6.0ms	23×	body	320	valid
2.0ms	11×	body	160	valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

15.0ms	(/ (sin y) y)
27.0ms	(* x (/ (sin y) y))

series143.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (sin y) y)
103.0ms	(* x (/ (sin y) y))

simplify4.2s

Counts

69 → 69

Iterations

Useful iterations: 3 (445.0ms)

Iter	Nodes	Cost
0	102	595
1	213	568
2	569	516
3	1570	514
4	4700	514
done	5000	514

prune178.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(* x (/ 1 (/ y (sin y))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 182

Calls

3 calls:

9.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))
34.0ms	(* x (/ 1 (/ y (sin y))))

series128.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (sin y))
33.0ms	(/ 1 (/ y (sin y)))
58.0ms	(* x (/ 1 (/ y (sin y))))

simplify1.9s

Counts

191 → 191

Iterations

Useful iterations: 3 (984.0ms)

Iter	Nodes	Cost
0	244	2235
1	543	1761
2	1081	1524
3	2961	1504
done	5001	1504

prune387.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

11.0ms	(/ x (/ y (sin y)))
6.0ms	(/ y (sin y))

series94.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ x (/ y (sin y)))
27.0ms	(/ y (sin y))

simplify1.9s

Counts

107 → 107

Iterations

Useful iterations: 3 (868.0ms)

Iter	Nodes	Cost
0	175	1270
1	356	1192
2	1038	1130
3	2965	1127
done	5000	1127

prune311.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ y (sin y)) x)
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ (/ y (sin y)) x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

477×	`times-frac`
237×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
49×	`associate-/r*`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube` `associate-/l*`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

3 → 303

Calls

3 calls:

25.0ms	(/ (/ y (sin y)) x)
6.0ms	(/ y (sin y))
25.0ms	(/ 1 (/ (/ y (sin y)) x))

series149.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (/ y (sin y)) x)
40.0ms	(/ y (sin y))
51.0ms	(/ 1 (/ (/ y (sin y)) x))

simplify1.8s

Counts

312 → 312

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	453	5185
1	1015	4504
2	1958	3913
done	5000	3820

prune719.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
done	5	6

end0.0ms

sample2.2s

Algorithm

intervals

Results

628.0ms	577×	body	320	valid
467.0ms	949×	body	1280	valid
421.0ms	5188×	body	80	valid
298.0ms	983×	body	640	valid
38.0ms	303×	body	160	valid