Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	236×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify34.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	12	124
2	25	124
3	34	124
4	41	124
5	47	124
6	50	124
done	50	124

prune3.0ms

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))

rewrite7.0ms

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` `flip--`

Counts

1 → 12

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))

simplify3.0s

Counts

15 → 15

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	32	3284
1	81	2913
2	262	2913
3	1034	2913
4	4693	2913
done	5000	2913

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

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))))

rewrite44.0ms

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` `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 → 87

Calls

4 calls:

4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
28.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

368.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
370.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
405.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
323.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify4.1s

Counts

99 → 99

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	119	39197
1	260	35465
2	836	35465
3	4486	34455
done	5000	34395

prune395.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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)))
0.6b	(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))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
10.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
26.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
376.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
304.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
288.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify4.2s

Counts

103 → 103

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	154	46886
1	322	41790
2	969	41790
3	4389	40890
done	5001	39942

prune709.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

366.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
401.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
399.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
406.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	64	24356
1	137	22832
2	366	22832
3	1214	21752
done	5000	20096

prune454.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes718.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	8	124
done	8	124

end0.0ms

sample554.0ms

Algorithm

intervals

Results

308.0ms	7395×	body	80	valid
26.0ms	202×	body	1280	valid
16.0ms	102×	body	2560	valid
14.0ms	144×	body	640	valid
8.0ms	100×	body	320	valid
3.0ms	57×	body	160	valid