Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	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

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--` `unswap-sqr`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `associate-l` `add-cbrt-cube` `flip--`

Counts

1 → 17

Calls

1 calls:

10.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify96.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	108	121
1	306	114
2	1110	114
3	3928	114
4	5002	114

prune44.0ms

Filtered

20 candidates to 14 candidates (70.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Merged error: 0.0b

Counts

21 → 5

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)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
72×	`cbrt-prod`
63×	`*-un-lft-identity`
22×	`associate-l` `distribute-lft-out--`
21×	`difference-of-squares`
18×	`cbrt-div` `unswap-sqr`
17×	`swap-sqr`
15×	`add-cube-cbrt`
11×	`pow1` `associate-r`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cbrt-cube`
7×	`times-frac`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 126

Calls

4 calls:

30.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
10.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
10.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
11.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
280.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
272.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
271.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	298	1527
1	932	1439
2	3503	1290
3	5001	1269

prune343.0ms

Filtered

138 candidates to 93 candidates (67.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	132	6	138
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	134	9	143

Merged error: 0.0b

Counts

143 → 9

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

131×	`cbrt-prod`
88×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
28×	`cbrt-div`
22×	`associate-l` `distribute-lft-out--`
21×	`difference-of-squares`
18×	`unswap-sqr`
17×	`add-cube-cbrt` `swap-sqr`
11×	`associate-r`
9×	`flip3--` `flip--`
7×	`times-frac`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`*-commutative`

Counts

4 → 121

Calls

4 calls:

10.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
10.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
29.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
12.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
284.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
259.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
283.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify79.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	379	1856
1	979	1806
2	2914	1706
3	5001	1691

prune436.0ms

Filtered

133 candidates to 93 candidates (69.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	134	8	142

Merged error: 0.0b

Counts

142 → 8

localize23.0ms

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

230×	`cbrt-prod`
132×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
48×	`cbrt-div`
40×	`associate-l`
36×	`distribute-lft-out--`
34×	`swap-sqr`
30×	`difference-of-squares`
28×	`unswap-sqr`
26×	`add-cube-cbrt`
22×	`associate-r`
14×	`flip3--` `flip--`
10×	`times-frac`
8×	`frac-times`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`
2×	`*-commutative`

Counts

4 → 170

Calls

4 calls:

32.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
28.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
11.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
11.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
253.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
281.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
285.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify78.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	337	2972
1	854	2908
2	2578	2728
3	5002	2718

prune601.0ms

Filtered

182 candidates to 118 candidates (64.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	183	7	190

Merged error: 0.0b

Counts

190 → 7

regimes122.0ms

Accuracy

0% (0.0b 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

sample528.0ms

Algorithm

intervals

Results

218.0ms	166×	body	640	valid
151.0ms	7383×	body	80	valid
18.0ms	204×	body	1280	valid
10.0ms	100×	body	2560	valid
5.0ms	99×	body	320	valid
2.0ms	48×	body	160	valid