Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	235×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 (100.0%)

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))

rewrite12.0ms

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:

12.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	103	121
1	273	114
2	873	114
3	2895	114
4	5002	114

prune37.0ms

Filtered

20 candidates to 14 candidates (30.0%)

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: 0.1b

Counts

21 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:

31.0ms	(* (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)))

series1.2s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
299.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
305.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
294.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	293	1527
1	899	1439
2	3267	1290
3	5001	1269

prune264.0ms

Filtered

138 candidates to 93 candidates (32.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	136	7	143

Merged error: 0.0b

Counts

143 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

120×	`cbrt-prod`
87×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
26×	`cbrt-div`
22×	`associate-l` `distribute-lft-out--`
21×	`difference-of-squares`
18×	`unswap-sqr`
17×	`swap-sqr`
16×	`add-cube-cbrt`
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 → 118

Calls

4 calls:

11.0ms	(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)))
34.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
507.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
314.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
280.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	329	1790
1	834	1742
2	2430	1646
3	5002	1631

prune339.0ms

Filtered

130 candidates to 91 candidates (30.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	130	7	137

Merged error: 0.0b

Counts

137 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

208×	`cbrt-prod`
130×	`add-sqr-sqrt`
104×	`*-un-lft-identity`
44×	`cbrt-div`
40×	`associate-l`
36×	`distribute-lft-out--`
34×	`swap-sqr`
30×	`difference-of-squares`
28×	`unswap-sqr`
24×	`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 → 164

Calls

4 calls:

10.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
11.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
33.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
31.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
286.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
255.0ms	(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)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	329	2840
1	834	2780
2	2430	2608
3	5002	2598

prune508.0ms

Filtered

176 candidates to 114 candidates (35.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	176	7	183

Merged error: 0.0b

Counts

183 → 7

regimes120.0ms

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

sample307.0ms

Algorithm

intervals

Results

139.0ms	7414×	body	80	valid
15.0ms	192×	body	1280	valid
11.0ms	173×	body	640	valid
9.0ms	97×	body	2560	valid
5.0ms	42×	body	160	valid
4.0ms	82×	body	320	valid