Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	240×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify14.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
69×	`prod-diff`
56×	`*-un-lft-identity`
52×	`add-cube-cbrt`
40×	`associate-l`
31×	`times-frac`
9×	`associate-r`
8×	`unswap-sqr`
3×	`fma-neg` `*-commutative` `div-inv` `add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 91

Calls

1 calls:

13.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	612	1770
1	2127	1219
2	5002	1182

prune136.0ms

Filtered

94 candidates to 41 candidates (43.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
0.4b	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
1.0b	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
1.0b	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)

rewrite961.0ms

Algorithm

rewrite-expression-head

Rules

4534×	`add-sqr-sqrt`
2942×	`cbrt-prod`
1767×	`times-frac`
1688×	`unswap-sqr`
1255×	`associate-r`
1180×	`*-un-lft-identity`
1178×	`add-cube-cbrt`
900×	`associate-*l/`
855×	`frac-times`
800×	`associate-/l*`
798×	`associate-/r*`
732×	`swap-sqr`
650×	`associate-l`
616×	`add-cbrt-cube`
531×	`cbrt-unprod`
266×	`cbrt-undiv`
197×	`*-commutative`
84×	`add-exp-log`
80×	`unpow-prod-down` `cube-prod`
78×	`clear-num`
77×	`frac-2neg`
57×	`associate-*r/`
39×	`prod-exp`
30×	`cube-div`
20×	`div-exp`
13×	`pow1`
10×	`rem-cube-cbrt`
7×	`div-inv`
6×	`pow-unpow`
4×	`expm1-log1p-u` `pow-prod-down` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `sqr-pow`

Counts

4 → 2710

Calls

4 calls:

603.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
13.0ms	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
11.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
11.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)

series292.0ms

Counts

4 → 8

Calls

4 calls:

190.0ms	(* (* (/ (cbrt 3.0) (cbrt 8.0)) y) (/ (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 8.0) (cbrt 8.0))))
102.0ms	(* (/ (cbrt 3.0) (cbrt 8.0)) y)
0.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
0.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)

simplify436.0ms

Algorithm

egg-herbie

Counts

2718 → 2718

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5001	45580

prune6.9s

Filtered

2718 candidates to 1433 candidates (52.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	2717	1	2718
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	2721	3	2724

Merged error: 0b

Counts

2724 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (sqrt 3.0)) (sqrt (cbrt 3.0)))
1.0b	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
1.0b	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
1.0b	(/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt (sqrt 3.0)) (sqrt (cbrt 3.0))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

1474×	`add-sqr-sqrt`
1251×	`cbrt-prod`
1035×	`times-frac`
622×	`add-cube-cbrt` `*-un-lft-identity`
551×	`sqrt-prod`
465×	`associate-r` `associate-l`
397×	`unswap-sqr`
233×	`swap-sqr`
80×	`unpow-prod-down` `cube-prod`
63×	`*-commutative`
52×	`add-cbrt-cube`
45×	`associate-/r*`
39×	`associate-/l*`
30×	`cube-div`
24×	`add-exp-log` `cbrt-unprod`
23×	`cbrt-undiv`
10×	`rem-cube-cbrt`
8×	`pow1`
6×	`pow-unpow` `div-exp`
5×	`prod-exp` `div-inv`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 1262

Calls

4 calls:

8.0ms	(* (cbrt (sqrt 3.0)) (sqrt (cbrt 3.0)))
16.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
11.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
38.0ms	(/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt (sqrt 3.0)) (sqrt (cbrt 3.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (cbrt (sqrt 3.0)) (sqrt (cbrt 3.0)))
0.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
0.0ms	(pow (/ (cbrt 3.0) (cbrt 8.0)) 3)
0.0ms	(/ (* (cbrt 8.0) (cbrt 8.0)) (* (cbrt (sqrt 3.0)) (sqrt (cbrt 3.0))))

simplify229.0ms

Algorithm

egg-herbie

Counts

1266 → 1266

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	3168	19580
1	5001	18332

prune3.1s

Filtered

1266 candidates to 470 candidates (37.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	1266	0	1266
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	1266	3	1269

Merged error: 0b

Counts

1269 → 3

regimes77.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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

sample316.0ms

Algorithm

intervals

Results

139.0ms	7383×	body	80	valid
17.0ms	204×	body	1280	valid
15.0ms	166×	body	640	valid
10.0ms	100×	body	2560	valid
8.0ms	99×	body	320	valid
2.0ms	48×	body	160	valid