Details

sample183.0ms

Algorithm

intervals

Results

61.0ms	83×	body	640	valid
51.0ms	89×	body	1280	valid
27.0ms	281×	body	80	valid
12.0ms	43×	body	320	valid
4.0ms	19×	body	160	valid

simplify948.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	96	7
5	179	7
6	751	7
done	5001	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 61

Calls

2 calls:

11.0ms	(/ (sin y) y)
20.0ms	(* (cosh x) (/ (sin y) y))

series158.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (sin y) y)
129.0ms	(* (cosh x) (/ (sin y) y))

simplify806.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	120	663
1	273	632
2	1177	574
done	5001	574

prune245.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- (sin y)) (- y))
0.3b	(* (cosh x) (/ (- (sin y)) (- y)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

201×	`times-frac`
135×	`add-sqr-sqrt`
130×	`add-cube-cbrt` `*-un-lft-identity`
126×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
104×	`associate-r`
42×	`neg-mul-1`
10×	`associate-/r` `associate-/l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`cbrt-undiv` `cosh-def` `distribute-frac-neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`neg-sub0` `frac-times` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `distribute-rgt-neg-out`

Counts

2 → 260

Calls

2 calls:

13.0ms	(/ (- (sin y)) (- y))
78.0ms	(* (cosh x) (/ (- (sin y)) (- y)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- (sin y)) (- y))
113.0ms	(* (cosh x) (/ (- (sin y)) (- y)))

simplify663.0ms

Counts

266 → 266

Iterations

Useful iterations: done (653.0ms)

Iter	Nodes	Cost
0	338	3237
1	903	3014
done	5000	2922

prune821.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- y) (- (sin y)))
0.2b	(/ 1 (/ (- y) (- (sin y))))
0.3b	(* (cosh x) (/ 1 (/ (- y) (- (sin y)))))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

1430×	`times-frac`
721×	`add-sqr-sqrt`
709×	`*-un-lft-identity`
707×	`add-cube-cbrt`
486×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
317×	`associate-r`
162×	`neg-mul-1`
114×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
15×	`div-exp`
13×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`neg-sub0` `frac-times` `pow-flip` `div-sub` `associate-r/` `distribute-frac-neg` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 922

Calls

3 calls:

16.0ms	(/ (- y) (- (sin y)))
33.0ms	(/ 1 (/ (- y) (- (sin y))))
207.0ms	(* (cosh x) (/ 1 (/ (- y) (- (sin y)))))

series208.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- y) (- (sin y)))
42.0ms	(/ 1 (/ (- y) (- (sin y))))
119.0ms	(* (cosh x) (/ 1 (/ (- y) (- (sin y)))))

simplify2.0s

Counts

931 → 931

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	984	14752
1	3023	11639
done	5001	11328

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- y) (sin y))
0.2b	(/ 1 (* -1 (/ (- y) (sin y))))
0.3b	(* (cosh x) (/ 1 (* -1 (/ (- y) (sin y)))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
36×	`times-frac`
33×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-cbrt-cube`
22×	`prod-exp`
19×	`div-exp`
13×	`associate-/l*`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`cbrt-undiv`
8×	`pow1` `associate-r` `cbrt-unprod`
6×	`rec-exp` `1-exp`
4×	`neg-mul-1` `associate-/r*`
3×	`associate-r/` `associate-l*` `div-inv` `add-log-exp`
2×	`cosh-def` `pow-flip` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r/`
1×	`neg-sub0` `frac-times` `div-sub` `distribute-frac-neg` `associate-l/` `un-div-inv` `-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 129

Calls

3 calls:

10.0ms	(/ (- y) (sin y))
26.0ms	(/ 1 (* -1 (/ (- y) (sin y))))
96.0ms	(* (cosh x) (/ 1 (* -1 (/ (- y) (sin y)))))

series169.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- y) (sin y))
43.0ms	(/ 1 (* -1 (/ (- y) (sin y))))
97.0ms	(* (cosh x) (/ 1 (* -1 (/ (- y) (sin y)))))

simplify1.4s

Counts

138 → 138

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	224	1705
1	559	1396
2	2675	1127
done	5001	1121

prune314.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes106.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
2	15	9
3	18	9
done	18	9

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.1s	2964×	body	1280	valid
1.4s	2490×	body	640	valid
887.0ms	8498×	body	80	valid
325.0ms	1202×	body	320	valid
100.0ms	643×	body	160	valid