Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

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: 16.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

16.2b

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
1×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

4.0ms

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

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify149.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	94	114
1	154	105
2	348	103
3	953	101
4	4346	97
5	5002	97

prune55.0ms

Filtered

19 candidates to 15 candidates (78.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	10	9	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	10	20

Merged error: 4.0b

Counts

20 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt g)
0.6b	(* (cbrt g) (cbrt g))
0.6b	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))
7.0b	(cbrt (/ (cbrt g) a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
36×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`cbrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt g)
6.0ms	(* (cbrt g) (cbrt g))
4.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))
3.0ms	(cbrt (/ (cbrt g) a))

series910.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt g)
210.0ms	(* (cbrt g) (cbrt g))
333.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))
182.0ms	(cbrt (/ (cbrt g) a))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	296	625
1	1104	586
2	5002	555

prune318.0ms

Filtered

110 candidates to 84 candidates (76.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	95	15	110
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	99	21	120

Merged error: 0.1b

Counts

120 → 21

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`times-frac`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `cbrt-div` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt g) (cbrt g))
2.0ms	(cbrt (cbrt g))
1.0ms	(cbrt a)
9.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt g) (cbrt g))
430.0ms	(cbrt (cbrt g))
183.0ms	(cbrt a)
332.0ms	(cbrt (/ (* (cbrt g) (cbrt g)) 2.0))

simplify128.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	210	440
1	689	402
2	4132	367
3	5001	364

prune279.0ms

Filtered

93 candidates to 69 candidates (74.2%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	6	13	19
Picked	0	1	1
Done	0	1	1
Total	92	22	114

Merged error: 0.0b

Counts

114 → 22

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt g) (cbrt g))
0.6b	(cbrt (cbrt g))
0.6b	(cbrt a)
0.6b	(cbrt (* (cbrt g) (cbrt g)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

10.0ms	(* (cbrt g) (cbrt g))
2.0ms	(cbrt (cbrt g))
2.0ms	(cbrt a)
4.0ms	(cbrt (* (cbrt g) (cbrt g)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt g) (cbrt g))
246.0ms	(cbrt (cbrt g))
181.0ms	(cbrt a)
276.0ms	(cbrt (* (cbrt g) (cbrt g)))

simplify81.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	186	357
1	594	321
2	2557	287
3	5002	284

prune229.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	4	15	19
Picked	0	1	1
Done	1	1	2
Total	88	20	108

Merged error: 0.0b

Counts

108 → 20

regimes406.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms

sample306.0ms

Algorithm

intervals

Results

179.0ms

8000×

body

valid