Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	3
1	11	3
2	11	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: 13.5b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

13.2b

(cbrt (/ g (* 2.0 a)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
36×	`times-frac`
35×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div`
12×	`associate-r` `associate-l` `associate-/r*`
4×	`*-commutative` `unswap-sqr`
3×	`associate-/l*`
1×	`pow1` `add-exp-log` `frac-2neg` `pow1/3` `clear-num` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

1 → 66

Calls

1 calls:

9.0ms

(cbrt (/ g (* 2.0 a)))

series106.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(cbrt (/ g (* 2.0 a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	327	507
1	849	498
2	2286	496
3	5001	489

prune142.0ms

Filtered

69 candidates to 55 candidates (20.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	55	14	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	15	70

Merged error: 0.0b

Counts

70 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
0.5b	(cbrt (- (* 2.0 a)))
0.5b	(cbrt (- g))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

750×	`cbrt-prod`
403×	`times-frac`
313×	`add-sqr-sqrt`
279×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
253×	`add-cube-cbrt` `*-un-lft-identity`
90×	`associate-r` `associate-l`
48×	`neg-mul-1`
31×	`associate-/r*`
30×	`*-commutative` `unswap-sqr`
13×	`associate-/l*`
7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`cbrt-undiv`
3×	`pow1` `add-log-exp`
2×	`pow1/3`
1×	`frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 516

Calls

3 calls:

18.0ms	(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
4.0ms	(cbrt (- (* 2.0 a)))
2.0ms	(cbrt (- g))

series560.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(/ (cbrt (- g)) (cbrt (- (* 2.0 a))))
208.0ms	(cbrt (- (* 2.0 a)))
203.0ms	(cbrt (- g))

simplify119.0ms

Algorithm

egg-herbie

Counts

525 → 525

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	863	6134
1	2300	6089
2	5001	6068

prune1.1s

Filtered

525 candidates to 405 candidates (22.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	521	4	525
Fresh	6	7	13
Picked	0	1	1
Done	0	1	1
Total	527	13	540

Merged error: 0.0b

Counts

540 → 13

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (cbrt (/ 1 a)) (cbrt (/ g 2.0)))
0.6b	(cbrt (/ g 2.0))
0.6b	(cbrt (/ 1 a))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

198×	`cbrt-div`
108×	`add-sqr-sqrt`
81×	`frac-times`
80×	`*-un-lft-identity`
77×	`add-cube-cbrt`
69×	`cbrt-prod`
66×	`associate-/r` `associate-/l`
46×	`times-frac`
22×	`frac-2neg` `clear-num`
16×	`associate-r` `associate-l`
12×	`unswap-sqr`
9×	`associate-r/` `associate-l/`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `cbrt-unprod` `div-inv`
3×	`add-log-exp`
2×	`pow-prod-down`
1×	`prod-exp` `*-commutative`

Counts

3 → 218

Calls

3 calls:

17.0ms	(* (cbrt (/ 1 a)) (cbrt (/ g 2.0)))
3.0ms	(cbrt (/ g 2.0))
3.0ms	(cbrt (/ 1 a))

series509.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(* (cbrt (/ 1 a)) (cbrt (/ g 2.0)))
216.0ms	(cbrt (/ g 2.0))
180.0ms	(cbrt (/ 1 a))

simplify120.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	602	1779
1	1430	1732
2	4479	1669
3	5001	1446

prune335.0ms

Filtered

227 candidates to 134 candidates (41.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	219	8	227
Fresh	7	3	10
Picked	1	0	1
Done	0	2	2
Total	227	13	240

Merged error: 0b

Counts

240 → 13

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* (cbrt (- 1)) (cbrt (/ g 2.0))) (cbrt (- a)))
0.6b	(cbrt (/ g 2.0))
0.6b	(cbrt (- a))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

853×	`cbrt-prod`
683×	`times-frac`
559×	`add-sqr-sqrt`
363×	`add-cube-cbrt` `*-un-lft-identity`
224×	`associate-r`
182×	`associate-l`
168×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
84×	`unswap-sqr`
56×	`neg-mul-1`
46×	`associate-/l*`
19×	`associate-/r*`
18×	`cbrt-div` `add-cbrt-cube`
16×	`div-inv`
14×	`*-commutative`
10×	`cbrt-undiv`
9×	`associate-*r/` `associate-/l/`
8×	`add-exp-log` `cbrt-unprod`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
2×	`pow1/3` `div-exp`
1×	`prod-exp`

Counts

3 → 652

Calls

3 calls:

32.0ms	(/ (* (cbrt (- 1)) (cbrt (/ g 2.0))) (cbrt (- a)))
3.0ms	(cbrt (/ g 2.0))
2.0ms	(cbrt (- a))

series537.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(/ (* (cbrt (- 1)) (cbrt (/ g 2.0))) (cbrt (- a)))
215.0ms	(cbrt (/ g 2.0))
206.0ms	(cbrt (- a))

simplify128.0ms

Algorithm

egg-herbie

Counts

661 → 661

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1907	9864
1	5002	9636

prune1.8s

Filtered

661 candidates to 550 candidates (16.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	661	0	661
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	661	13	674

Merged error: 0b

Counts

674 → 13

regimes230.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	16	6
2	16	6

end0.0ms

sample320.0ms

Algorithm

intervals

Results

184.0ms

8000×

body

valid