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 (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: 16.5b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

16.1b

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

rewrite11.0ms

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` `expm1-log1p-u` `frac-2neg` `pow1/3` `clear-num` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 68

Calls

1 calls:

8.0ms

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

series94.0ms

Counts

1 → 3

Calls

1 calls:

94.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	329	515
1	851	506
2	2294	504
3	5001	497

prune199.0ms

Filtered

71 candidates to 57 candidates (80.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	56	15	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	16	72

Merged error: 0.0b

Counts

72 → 16

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
158×	`cbrt-prod`
105×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/l*`
18×	`cbrt-div`
12×	`associate-/r*`
9×	`div-inv` `associate-/l/`
7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`div-exp`

Counts

3 → 189

Calls

3 calls:

9.0ms	(/ (cbrt (/ g 2.0)) (cbrt a))
3.0ms	(cbrt (/ g 2.0))
1.0ms	(cbrt a)

series510.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (cbrt (/ g 2.0)) (cbrt a))
214.0ms	(cbrt (/ g 2.0))
183.0ms	(cbrt a)

simplify145.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	449	1711
1	1239	1676
2	4916	1651
3	5001	1651

prune575.0ms

Filtered

198 candidates to 174 candidates (87.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	191	7	198
Fresh	9	5	14
Picked	0	1	1
Done	0	1	1
Total	200	14	214

Merged error: 0.0b

Counts

214 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (cbrt g) (cbrt 1)) (/ (cbrt (/ 1 2.0)) (cbrt a)))
0.5b	(/ (cbrt (/ 1 2.0)) (cbrt a))
0.6b	(cbrt g)
0.6b	(cbrt a)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

909×	`cbrt-prod`
768×	`add-sqr-sqrt`
627×	`times-frac`
569×	`*-un-lft-identity`
536×	`add-cube-cbrt`
534×	`associate-/l*`
510×	`frac-times`
363×	`associate-/r*`
153×	`cbrt-div` `associate-/l/`
100×	`associate-r`
70×	`clear-num`
69×	`frac-2neg`
63×	`unswap-sqr`
58×	`add-cbrt-cube`
44×	`cbrt-undiv`
40×	`associate-l`
34×	`associate-*r/`
32×	`div-inv`
25×	`cbrt-unprod`
18×	`add-exp-log`
15×	`associate-*l/`
6×	`pow1`
5×	`div-exp`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `un-div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 974

Calls

4 calls:

88.0ms	(* (/ (cbrt g) (cbrt 1)) (/ (cbrt (/ 1 2.0)) (cbrt a)))
9.0ms	(/ (cbrt (/ 1 2.0)) (cbrt a))
1.0ms	(cbrt g)
1.0ms	(cbrt a)

series662.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (/ (cbrt g) (cbrt 1)) (/ (cbrt (/ 1 2.0)) (cbrt a)))
217.0ms	(/ (cbrt (/ 1 2.0)) (cbrt a))
175.0ms	(cbrt g)
175.0ms	(cbrt a)

simplify171.0ms

Algorithm

egg-herbie

Counts

986 → 986

Iterations

Useful iterations: 1 (63.0ms)

Iter	Nodes	Cost
0	3353	12788
1	5001	12173

prune2.5s

Filtered

986 candidates to 646 candidates (65.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	982	4	986
Fresh	4	7	11
Picked	1	0	1
Done	0	2	2
Total	987	13	1000

Merged error: 0b

Counts

1000 → 13

localize6.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (cbrt g) (cbrt (* 2.0 a)))
0.5b	(cbrt (* 2.0 a))
0.6b	(cbrt g)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

147×	`cbrt-prod`
90×	`times-frac`
83×	`add-sqr-sqrt`
67×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-r` `associate-l`
15×	`associate-/r*`
8×	`*-commutative` `unswap-sqr`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`add-exp-log`
4×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 163

Calls

3 calls:

8.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
4.0ms	(cbrt (* 2.0 a))
1.0ms	(cbrt g)

series505.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
207.0ms	(cbrt (* 2.0 a))
178.0ms	(cbrt g)

simplify139.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	365	1373
1	1038	1342
2	4809	1323
3	5001	1323

prune425.0ms

Filtered

172 candidates to 140 candidates (81.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	172	13	185

Merged error: 0b

Counts

185 → 13

regimes242.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4

end0.0ms

sample306.0ms

Algorithm

intervals

Results

175.0ms

8000×

body

valid