Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	240×	body	80	valid
1.0ms	5×	body	2560	valid
1.0ms	6×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

simplify57.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

1 → 13

Calls

1 calls:

7.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify2.3s

Counts

16 → 16

Iterations

Iter	Nodes
done	5001
4	2676
3	884
2	250
1	82
0	33

prune54.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
31.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

373.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
311.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
291.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
310.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	1736
2	640
1	259
0	121

prune437.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

6.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
44.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

340.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
370.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
359.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
338.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
3	1784
2	665
1	275
0	137

prune589.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

396×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
60×	`add-sqr-sqrt`
56×	`cbrt-prod`
50×	`associate-l/` `associate-r/`
32×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
24×	`pow1/3`
22×	`swap-sqr` `associate-r` `associate-l`
16×	`unswap-sqr`
12×	`add-exp-log`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`pow2` `pow-plus` `add-cbrt-cube` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp`

Counts

4 → 262

Calls

4 calls:

60.0ms	(* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
38.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
43.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
48.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
278.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
274.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
271.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify2.2s

Counts

274 → 274

Iterations

Iter	Nodes
done	5001
3	2316
2	1042
1	467
0	270

prune1.5s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample678.0ms

Algorithm

intervals

Results

401.0ms	7399×	body	80	valid
50.0ms	242×	body	1280	valid
23.0ms	94×	body	2560	valid
22.0ms	133×	body	640	valid
10.0ms	90×	body	320	valid
3.0ms	42×	body	160	valid