Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	28×	body	1280	valid
6.0ms	174×	body	80	valid
4.0ms	28×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	11×	body	160	valid

simplify9.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (/ (sin y) y))
28.0ms	(/ (sin y) y)

simplify3.5s

Counts

69 → 69

Iterations

Useful iterations: 3 (352.0ms)

Iter	Nodes	Cost
0	102	595
1	213	568
2	568	516
3	1586	514
4	4787	514
done	5001	514

prune148.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

18.0ms	(* (/ (sin y) y) x)
8.0ms	(/ (sin y) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (/ (sin y) y) x)
27.0ms	(/ (sin y) y)

simplify3.1s

Counts

69 → 69

Iterations

Useful iterations: 3 (433.0ms)

Iter	Nodes	Cost
0	104	578
1	220	563
2	605	509
3	1716	507
done	5001	507

prune151.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
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-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

3 → 181

Calls

3 calls:

35.0ms	(* (/ 1 (/ y (sin y))) x)
6.0ms	(/ y (sin y))
12.0ms	(/ 1 (/ y (sin y)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (/ 1 (/ y (sin y))) x)
24.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

simplify1.8s

Counts

190 → 190

Iterations

Useful iterations: 3 (973.0ms)

Iter	Nodes	Cost
0	243	2146
1	537	1745
2	1116	1512
3	3185	1492
done	5001	1492

prune342.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-l`
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-r` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`pow-flip` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 483

Calls

3 calls:

82.0ms	(* (/ (/ 1 y) (/ 1 (sin y))) x)
6.0ms	(/ 1 (sin y))
19.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (/ (/ 1 y) (/ 1 (sin y))) x)
14.0ms	(/ 1 (sin y))
38.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.6s

Counts

492 → 492

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	587	7815
1	1584	5826
2	2693	4735
done	5001	4653

prune733.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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
1	6	6
done	6	6

end0.0ms

sample870.0ms

Algorithm

intervals

Results

225.0ms	923×	body	1280	valid
190.0ms	5265×	body	80	valid
155.0ms	945×	body	640	valid
59.0ms	542×	body	320	valid
25.0ms	325×	body	160	valid