Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	33×	body	1280	valid
6.0ms	168×	body	80	valid
5.0ms	32×	body	640	valid
2.0ms	17×	body	320	valid
0.0ms	6×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

14.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series81.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify31.0ms

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302
done	5001	302

prune130.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:

31.0ms	(* x (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (/ 1 (/ y (sin y))))
23.0ms	(/ y (sin y))
26.0ms	(/ 1 (/ y (sin y)))

simplify66.0ms

Counts

191 → 191

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	576	1226
1	2906	1067
2	5001	946
done	5001	946

prune307.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 483

Calls

3 calls:

73.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
9.0ms	(/ 1 (sin y))
19.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
14.0ms	(/ 1 (sin y))
33.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify74.0ms

Counts

492 → 492

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1784	4470
1	5001	3847
done	5001	3847

prune748.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`associate-l` `add-cbrt-cube`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
4×	`div-exp` `associate-r` `pow-prod-down`
3×	`unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `associate-l/` `-commutative` `log1p-expm1-u` `add-log-exp`
1×	`associate-*r/` `div-inv`

Counts

2 → 62

Calls

2 calls:

34.0ms	(* x (* (/ 1 y) (sin y)))
19.0ms	(* (/ 1 y) (sin y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* x (* (/ 1 y) (sin y)))
26.0ms	(* (/ 1 y) (sin y))

simplify33.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	273	343
1	1112	275
2	5001	262
done	5001	262

prune113.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes82.0ms

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	6	3
1	6	3
done	6	3

end0.0ms

sample854.0ms

Algorithm

intervals

Results

232.0ms	927×	body	1280	valid
185.0ms	5263×	body	80	valid
152.0ms	1008×	body	640	valid
58.0ms	549×	body	320	valid
24.0ms	253×	body	160	valid