Details

sample12.0ms

Algorithm

intervals

Results

4.0ms	244×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	25	3
2	38	3
3	45	3
4	51	3
5	57	3
6	59	3
7	59	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

2.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	107	129
1	372	112
2	1541	111
3	5002	94

prune42.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

16.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
316.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
255.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
251.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	244	1068
1	767	1003
2	2875	944
3	5002	915

prune249.0ms

Filtered

107 candidates to 83 candidates (77.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
262.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
266.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
267.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify110.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	199	746
1	500	704
2	1579	696
3	4949	668
4	5001	668

prune281.0ms

Filtered

81 candidates to 77 candidates (95.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`cbrt-div`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
262.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
263.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
266.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify94.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 4 (86.0ms)

Iter	Nodes	Cost
0	153	804
1	391	760
2	1310	752
3	4171	724
4	5001	720

prune321.0ms

Filtered

84 candidates to 80 candidates (95.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample305.0ms

Algorithm

intervals

Results

140.0ms	7375×	body	80	valid
17.0ms	215×	body	1280	valid
10.0ms	163×	body	640	valid
9.0ms	98×	body	2560	valid
4.0ms	92×	body	320	valid
2.0ms	57×	body	160	valid