Details

sample86.0ms

Algorithm

intervals

Results

31.0ms	83×	body	1280	valid
17.0ms	75×	body	640	valid
13.0ms	246×	body	80	valid
6.0ms	39×	body	320	valid
2.0ms	20×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	28	197
3	56	197
4	100	197
5	187	197
6	763	197
done	5001	197

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

12.0ms	(* (cosh x) (/ (sin y) y))
7.0ms	(/ (sin y) y)

series132.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (cosh x) (/ (sin y) y))
45.0ms	(/ (sin y) y)

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	124	19221
1	282	17598
2	1306	17138
done	5000	16848

prune291.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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×	`times-frac` `add-cube-cbrt`
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×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`associate-*l/` `div-inv`

Counts

2 → 67

Calls

2 calls:

33.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
17.0ms	(* (sin y) (/ 1 y))

series168.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
48.0ms	(* (sin y) (/ 1 y))

simplify4.1s

Counts

73 → 73

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	140	20717
1	355	17687
2	2951	15337
done	5002	15237

prune386.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite78.0ms

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

Counts

3 → 184

Calls

3 calls:

43.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
10.0ms	(/ y (sin y))
14.0ms	(/ 1 (/ y (sin y)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
36.0ms	(/ y (sin y))
46.0ms	(/ 1 (/ y (sin y)))

simplify707.0ms

Counts

193 → 193

Iterations

Useful iterations: done (690.0ms)

Iter	Nodes	Cost
0	265	64315
1	704	50314
done	5001	48848

prune871.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
0.5b	(cbrt (/ 1 y))
0.5b	(cbrt (/ 1 y))
0.5b	(cbrt (/ 1 y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

32.0ms	(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
2.0ms	(cbrt (/ 1 y))
2.0ms	(cbrt (/ 1 y))
2.0ms	(cbrt (/ 1 y))

series990.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))
259.0ms	(cbrt (/ 1 y))
242.0ms	(cbrt (/ 1 y))
208.0ms	(cbrt (/ 1 y))

simplify1.7s

Counts

173 → 173

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	143	56396
1	255	45045
2	1088	44770
done	5000	44085

prune917.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes422.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
1	7	197
done	7	197

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.6s	2991×	body	1280	valid
1.1s	2562×	body	640	valid
748.0ms	8595×	body	80	valid
683.0ms	1234×	body	320	valid
508.0ms	679×	body	160	valid