Details

sample78.0ms

Algorithm

intervals

Results

30.0ms	102×	body	1280	valid
13.0ms	73×	body	640	valid
11.0ms	271×	body	80	valid
6.0ms	44×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.1s

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	100	7
5	145	7
6	223	7
7	419	7
8	1004	7
9	1898	7
10	2239	7
11	2341	7
done	2341	7

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:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite30.0ms

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` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

20.0ms	(* (cosh x) (/ (sin y) y))
8.0ms	(/ (sin y) y)

series108.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (cosh x) (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify1.8s

Counts

71 → 71

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	124	689
1	263	656
2	868	592
3	3123	590
done	5000	578

prune166.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))

rewrite54.0ms

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`
5×	`associate-*r/`
4×	`div-exp` `pow-prod-down`
3×	`cosh-def` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`associate-*l/` `div-inv`

Counts

2 → 67

Calls

2 calls:

34.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
17.0ms	(* (sin y) (/ 1 y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
26.0ms	(* (sin y) (/ 1 y))

simplify2.3s

Counts

73 → 73

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	140	787
1	319	620
2	907	506
3	2987	504
done	5001	504

prune142.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.3b	(/ 1 (/ y (sin y)))

rewrite61.0ms

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×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 184

Calls

3 calls:

32.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms	(/ y (sin y))
11.0ms	(/ 1 (/ y (sin y)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
25.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

simplify2.4s

Counts

193 → 193

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	265	2378
1	592	1894
2	1437	1643
3	4623	1611
done	5000	1611

prune359.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series491.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
99.0ms	(cbrt (sin y))
103.0ms	(cbrt (sin y))
107.0ms	(cbrt (sin y))

simplify2.4s

Counts

64 → 64

Iterations

Useful iterations: 4 (218.0ms)

Iter	Nodes	Cost
0	53	371
1	96	346
2	199	313
3	425	301
4	1188	298
5	4186	298
done	5000	298

prune209.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

925.0ms	2975×	body	1280	valid
465.0ms	2478×	body	640	valid
382.0ms	8519×	body	80	valid
161.0ms	1210×	body	320	valid
57.0ms	623×	body	160	valid