Details

sample228.0ms

Algorithm

intervals

Results

103.0ms	78×	body	1280	valid
51.0ms	80×	body	640	valid
36.0ms	249×	body	80	valid
12.0ms	26×	body	320	valid
6.0ms	20×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5060
9	4361
8	2115
7	905
6	308
5	134
4	85
3	50
2	28
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
10×	`cosh-def` `associate-/l*`
9×	`frac-times` `associate-/r` `add-cbrt-cube` `associate-r/` `add-exp-log`
4×	`pow1` `clear-num`
3×	`frac-2neg` `associate-l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `un-div-inv` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 81

Calls

2 calls:

44.0ms	(* (cosh x) (/ (sin y) y))
17.0ms	(/ (sin y) y)

series213.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(* (cosh x) (/ (sin y) y))
73.0ms	(/ (sin y) y)

simplify2.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	4100
2	1217
1	338
0	141

prune338.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
36×	`times-frac`
29×	`*-un-lft-identity` `add-cube-cbrt`
15×	`associate-r` `associate-l`
12×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
5×	`*-commutative` `unswap-sqr`
4×	`pow1`
3×	`associate-/r*`
2×	`cbrt-undiv` `cosh-def` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `div-inv` `associate-/l/`

Counts

2 → 87

Calls

2 calls:

21.0ms	(* (cosh x) (sin y))
28.0ms	(/ (* (cosh x) (sin y)) y)

series211.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (cosh x) (sin y))
125.0ms	(/ (* (cosh x) (sin y)) y)

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1236
1	382
0	165

prune426.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
10×	`associate-*l/`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l`
4×	`pow1`
3×	`associate-r`
2×	`cbrt-undiv` `cosh-def` `clear-num` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 71

Calls

2 calls:

11.0ms	(/ (cosh x) y)
35.0ms	(* (/ (cosh x) y) (sin y))

series195.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(/ (cosh x) y)
87.0ms	(* (/ (cosh x) y) (sin y))

simplify2.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5008
3	2856
2	886
1	321
0	138

prune310.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

207×	`cbrt-div`
127×	`add-sqr-sqrt`
103×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
81×	`frac-times`
69×	`associate-/r` `times-frac` `associate-/l`
23×	`clear-num` `frac-2neg`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `associate-l/` `associate-r/` `unswap-sqr`
8×	`add-cbrt-cube`
7×	`div-inv`
6×	`add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 271

Calls

4 calls:

63.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))

series876.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
174.0ms	(cbrt (/ (sin y) y))
242.0ms	(cbrt (/ (sin y) y))
203.0ms	(cbrt (/ (sin y) y))

simplify2.0s

Counts

283 → 283

Iterations

Iter	Nodes
done	5001
3	2618
2	1014
1	522
0	311

prune1.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes276.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample8.2s

Algorithm

intervals

Results

2.8s	2867×	body	1280	valid
2.4s	2420×	body	640	valid
1.9s	8516×	body	80	valid
599.0ms	1207×	body	320	valid
168.0ms	624×	body	160	valid