Details

sample131.0ms

Algorithm

intervals

Results

54.0ms	45×	body	1280	valid
31.0ms	44×	body	640	valid
21.0ms	138×	body	80	valid
12.0ms	20×	body	320	valid
3.0ms	9×	body	160	valid

simplify274.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	275
7	275
6	274
5	226
4	134
3	71
2	35
1	20
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
13.7b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

193×	`associate-l`
181×	`add-sqr-sqrt`
167×	`times-frac`
106×	`*-un-lft-identity` `add-cube-cbrt`
45×	`associate-*l/`
43×	`associate-/l*`
37×	`unswap-sqr`
33×	`associate-r`
31×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*` `prod-exp` `cbrt-unprod`
11×	`*-commutative`
10×	`pow1`
9×	`associate-/l/`
7×	`cbrt-undiv` `div-exp` `div-inv`
4×	`clear-num` `frac-2neg` `pow-prod-down`
3×	`insert-posit16` `add-log-exp`

Counts

3 → 263

Calls

3 calls:

172.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
36.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
283.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series221.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
60.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
99.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify17.5s

Counts

272 → 272

Iterations

Iter	Nodes
done	5005
2	3005
1	1065
0	409

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (sin (* x 0.5)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)))
0.3b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite557.0ms

Algorithm

rewrite-expression-head

Rules

232×	`times-frac`
198×	`add-sqr-sqrt`
141×	`*-un-lft-identity`
139×	`add-cube-cbrt`
121×	`associate-l`
100×	`associate-r`
57×	`associate-/l*`
38×	`associate-*r/`
31×	`add-cbrt-cube` `add-exp-log`
27×	`associate-*l/`
24×	`unswap-sqr`
18×	`associate-/l/`
15×	`associate-/r*`
11×	`div-inv`
10×	`prod-exp` `*-commutative` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
7×	`pow1`
6×	`clear-num`
5×	`frac-2neg`
3×	`un-div-inv` `insert-posit16` `add-log-exp`
2×	`pow-prod-down`

Counts

3 → 301

Calls

3 calls:

379.0ms	(* (sin (* x 0.5)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)))
81.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
72.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series307.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(* (sin (* x 0.5)) (/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x)))
112.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (sin x))
71.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.6s

Counts

310 → 310

Iterations

Iter	Nodes
done	5023
2	4087
1	1194
0	427

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* 8.0 (sin (* x 0.5))) 3.0)
0.2b	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
0.2b	(/ (sin x) (sin (* x 0.5)))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

1438×	`times-frac`
731×	`add-sqr-sqrt`
637×	`*-un-lft-identity` `add-cube-cbrt`
141×	`associate-r` `associate-l`
70×	`associate-/l*`
58×	`div-inv`
47×	`*-commutative` `unswap-sqr`
31×	`add-cbrt-cube` `add-exp-log`
25×	`associate-/r*`
18×	`associate-/l/`
16×	`cbrt-undiv` `div-exp`
9×	`associate-/r/`
5×	`clear-num` `frac-2neg`
3×	`pow1` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`

Counts

3 → 717

Calls

3 calls:

53.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
159.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
23.0ms	(/ (sin x) (sin (* x 0.5)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
114.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
59.0ms	(/ (sin x) (sin (* x 0.5)))

simplify2.6s

Counts

726 → 726

Iterations

Iter	Nodes
done	5001
1	3657
0	1155

prune4.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (/ 8.0 3.0) (/ (sin x) (sin (* x 0.5))))
0.2b	(/ (sin x) (sin (* x 0.5)))
0.3b	(* (sin (* x 0.5)) (/ (/ 8.0 3.0) (/ (sin x) (sin (* x 0.5)))))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

859×	`times-frac`
431×	`add-sqr-sqrt`
415×	`*-un-lft-identity`
413×	`add-cube-cbrt`
182×	`associate-r`
59×	`div-inv`
43×	`associate-/l*`
41×	`associate-/r*`
38×	`associate-*r/`
35×	`add-cbrt-cube` `add-exp-log`
20×	`associate-/l/`
18×	`associate-/r/`
17×	`cbrt-undiv` `div-exp`
9×	`clear-num`
7×	`frac-2neg`
5×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`un-div-inv`
3×	`associate-l` `insert-posit16` `add-log-exp`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 512

Calls

3 calls:

46.0ms	(/ (/ 8.0 3.0) (/ (sin x) (sin (* x 0.5))))
24.0ms	(/ (sin x) (sin (* x 0.5)))
297.0ms	(* (sin (* x 0.5)) (/ (/ 8.0 3.0) (/ (sin x) (sin (* x 0.5)))))

series302.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (/ 8.0 3.0) (/ (sin x) (sin (* x 0.5))))
77.0ms	(/ (sin x) (sin (* x 0.5)))
139.0ms	(* (sin (* x 0.5)) (/ (/ 8.0 3.0) (/ (sin x) (sin (* x 0.5)))))

simplify2.2s

Counts

521 → 521

Iterations

Iter	Nodes
done	5003
1	2425
0	734

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.2s	1442×	body	1280	valid
1.4s	1183×	body	640	valid
1.1s	4417×	body	80	valid
554.0ms	647×	body	320	valid
144.0ms	311×	body	160	valid