Details

sample32.0ms

Algorithm

intervals

Results

15.0ms	232×	body	80	valid
3.0ms	9×	body	1280	valid
2.0ms	8×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid

simplify71.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	50
7	50
6	47
5	44
4	38
3	31
2	25
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--` `unswap-sqr`
1×	`pow1` `sub-neg` `times-frac` `flip3--` `add-cbrt-cube` `diff-log` `associate-l` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

1 → 18

Calls

1 calls:

31.0ms

(- x (* (/ 3.0 8.0) y))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.7s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
4	2752
3	944
2	298
1	110
0	48

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
72×	`cbrt-prod`
63×	`*-un-lft-identity`
22×	`associate-l` `distribute-lft-out--`
21×	`difference-of-squares`
18×	`cbrt-div` `unswap-sqr`
17×	`swap-sqr`
15×	`add-cube-cbrt`
11×	`pow1` `associate-r`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cbrt-cube`
7×	`times-frac`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 130

Calls

4 calls:

278.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
43.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
38.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
27.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
431.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
425.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
382.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify2.3s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
3	2101
2	806
1	324
0	157

prune579.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite938.0ms

Algorithm

rewrite-expression-head

Rules

296×	`cbrt-prod`
173×	`add-sqr-sqrt`
144×	`*-un-lft-identity`
62×	`cbrt-div`
58×	`associate-l`
51×	`swap-sqr`
50×	`distribute-lft-out--`
39×	`difference-of-squares`
38×	`unswap-sqr`
33×	`associate-r`
32×	`add-cube-cbrt`
19×	`flip3--` `flip--`
13×	`times-frac`
12×	`frac-times`
6×	`associate-l/` `associate-r/`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`*-commutative`

Counts

4 → 214

Calls

4 calls:

25.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
329.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
274.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
298.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

373.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
389.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
398.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
363.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify2.1s

Counts

226 → 226

Iterations

Iter	Nodes
done	5000
3	1859
2	764
1	358
0	208

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite739.0ms

Algorithm

rewrite-expression-head

Rules

208×	`cbrt-prod`
130×	`add-sqr-sqrt`
104×	`*-un-lft-identity`
44×	`cbrt-div`
40×	`associate-l`
36×	`distribute-lft-out--`
34×	`swap-sqr`
30×	`difference-of-squares`
28×	`unswap-sqr`
24×	`add-cube-cbrt`
22×	`associate-r`
14×	`flip3--` `flip--`
10×	`times-frac`
8×	`frac-times`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`*-commutative`

Counts

4 → 168

Calls

4 calls:

50.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
51.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
316.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
303.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

361.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
355.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
275.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
380.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify2.2s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
3	1859
2	764
1	358
0	208

prune1.1s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes345.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample821.0ms

Algorithm

intervals

Results

497.0ms	7339×	body	80	valid
79.0ms	237×	body	1280	valid
42.0ms	123×	body	2560	valid
36.0ms	164×	body	640	valid
15.0ms	96×	body	320	valid
5.0ms	41×	body	160	valid