Details

sample75.0ms

Algorithm

intervals

Results

29.0ms	94×	body	1280	valid
15.0ms	81×	body	640	valid
11.0ms	257×	body	80	valid
4.0ms	30×	body	320	valid
2.0ms	22×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	27	7
3	53	7
4	94	7
5	132	7
6	246	7
7	512	7
8	1100	7
9	1868	7
10	3756	7
done	5000	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)

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` `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:

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

series105.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (cosh x) (/ (sin y) y))
31.0ms	(/ (sin y) y)

simplify828.0ms

Counts

67 → 67

Iterations

Useful iterations: done (826.0ms)

Iter	Nodes	Cost
0	120	663
1	262	632
2	913	568
done	5001	552

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.2b	(/ (cosh x) (/ y (sin y)))

rewrite12.0ms

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` `frac-2neg` `clear-num` `add-log-exp`
1×	`cosh-def` `associate-/r/` `associate-/l/`

Counts

2 → 98

Calls

2 calls:

2.0ms	(/ y (sin y))
5.0ms	(/ (cosh x) (/ y (sin y)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ y (sin y))
74.0ms	(/ (cosh x) (/ y (sin y)))

simplify622.0ms

Counts

104 → 104

Iterations

Useful iterations: done (619.0ms)

Iter	Nodes	Cost
0	189	1396
1	411	1315
2	1451	1241
done	5000	1229

prune273.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.2b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

4.0ms	(* (cosh x) (sin y))
12.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series143.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (cosh x) (sin y))
74.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify844.0ms

Counts

65 → 65

Iterations

Useful iterations: done (842.0ms)

Iter	Nodes	Cost
0	140	753
1	369	625
2	1210	521
done	5000	491

prune114.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
18.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (/ y (sin y)))
143.0ms	(cbrt (/ y (sin y)))
134.0ms	(cbrt (/ y (sin y)))
171.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify2.6s

Counts

156 → 156

Iterations

Useful iterations: 3 (871.0ms)

Iter	Nodes	Cost
0	169	2215
1	284	2080
2	871	2004
3	4296	1900
done	5001	1900

prune506.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes176.0ms

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	7
1	7	7
done	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

917.0ms	3027×	body	1280	valid
479.0ms	2559×	body	640	valid
385.0ms	8565×	body	80	valid
163.0ms	1230×	body	320	valid
52.0ms	583×	body	160	valid