Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	176×	body	80	valid
5.0ms	22×	body	1280	valid
5.0ms	31×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	11	6
3	15	6
4	16	6
done	16	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)

series81.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify488.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	102	595
1	222	568
2	943	516
done	5000	516

prune155.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

15.0ms	(* x (* (sin y) (/ 1 y)))
9.0ms	(* (sin y) (/ 1 y))

series79.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* x (* (sin y) (/ 1 y)))
26.0ms	(* (sin y) (/ 1 y))

simplify712.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	117	685
1	290	546
2	1104	428
done	5000	428

prune120.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
8.1b	(/ (* x (sin y)) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

4.0ms	(* x (sin y))
4.0ms	(/ (* x (sin y)) y)

series90.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (sin y))
54.0ms	(/ (* x (sin y)) y)

simplify376.0ms

Counts

49 → 49

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	74	371
1	163	361
2	745	309
done	5000	309

prune113.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

7.0ms	(/ x (/ y (sin y)))
2.0ms	(/ y (sin y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ x (/ y (sin y)))
22.0ms	(/ y (sin y))

simplify577.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	175	1270
1	377	1192
2	1603	1130
done	5000	1130

prune261.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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: 1 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	6
done	9	6

end0.0ms

sample872.0ms

Algorithm

intervals

Results

245.0ms	893×	body	1280	valid
197.0ms	5209×	body	80	valid
168.0ms	980×	body	640	valid
68.0ms	572×	body	320	valid
29.0ms	346×	body	160	valid