Details

sample21.0ms

Algorithm

intervals

Results

5.0ms	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

simplify115.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify5.1s

Counts

16 → 16

Iterations

Iter	Nodes
done	5005
4	2668
3	888
2	250
1	82
0	33

prune192.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

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))))

rewrite74.0ms

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:

7.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
46.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series2.2s

Counts

4 → 12

Calls

4 calls:

608.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
582.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
557.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
495.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify4.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	1725
2	645
1	259
0	121

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize509.0ms

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))))

rewrite95.0ms

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:

12.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
11.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
12.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
47.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series2.2s

Counts

4 → 12

Calls

4 calls:

585.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
537.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
559.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
557.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify4.1s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
3	1797
2	669
1	275
0	137

prune1.6s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize212.0ms

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))))

rewrite415.0ms

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:

118.0ms	(* (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))))))
83.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
81.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
83.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series2.0s

Counts

4 → 12

Calls

4 calls:

595.0ms	(* (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))))))
497.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
452.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
483.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify5.1s

Counts

274 → 274

Iterations

Iter	Nodes
done	5001
3	2346
2	1035
1	466
0	270

prune2.7s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample748.0ms

Algorithm

intervals

Results

315.0ms	7399×	body	80	valid
72.0ms	242×	body	1280	valid
36.0ms	42×	body	160	valid
18.0ms	94×	body	2560	valid
16.0ms	133×	body	640	valid
9.0ms	90×	body	320	valid