Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

380×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune7.0ms

Filtered

1 candidates to 1 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 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.3b	(* (* a z) b)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

2.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
11.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series168.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (* y z))
42.0ms	(+ (+ x (* y z)) (* t a))
77.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(* (* a z) b)

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune144.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(* (cbrt b) (cbrt b))
1.7b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.9b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1`
36×	`add-exp-log`
23×	`add-sqr-sqrt` `pow-prod-down`
22×	`cbrt-prod` `prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
8×	`associate-l`
7×	`pow1/3`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt b)
5.0ms	(* (cbrt b) (cbrt b))
11.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt b)
197.0ms	(* (cbrt b) (cbrt b))
49.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
100.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify68.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	309	667
1	1671	487
2	5001	440

prune248.0ms

Filtered

115 candidates to 69 candidates (60.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* a z) (* (cbrt b) (cbrt b)))
13.0b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
13.0b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
13.0b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 49

Calls

4 calls:

9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
7.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
10.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
7.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

series641.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
177.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
177.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
188.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

simplify120.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	223	495
1	798	417
2	3718	390
3	5001	382

prune297.0ms

Filtered

61 candidates to 45 candidates (73.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt b) (cbrt b)))
0.6b	(cbrt (* (cbrt b) (cbrt b)))
1.7b	(* (* (* a z) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (* (cbrt b) (cbrt b))))) (cbrt b))
4.9b	(* (* a z) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (* (cbrt b) (cbrt b)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

54×	`pow1` `add-exp-log`
37×	`pow-prod-down` `prod-exp` `cbrt-unprod`
31×	`add-cbrt-cube`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-prod`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

4.0ms	(cbrt (* (cbrt b) (cbrt b)))
4.0ms	(cbrt (* (cbrt b) (cbrt b)))
17.0ms	(* (* (* a z) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (* (cbrt b) (cbrt b))))) (cbrt b))
13.0ms	(* (* a z) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (* (cbrt b) (cbrt b)))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt (* (cbrt b) (cbrt b)))
268.0ms	(cbrt (* (cbrt b) (cbrt b)))
49.0ms	(* (* (* a z) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (* (cbrt b) (cbrt b))))) (cbrt b))
102.0ms	(* (* a z) (* (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (* (cbrt b) (cbrt b)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	335	1578
1	1627	882
2	5002	647

prune187.0ms

Filtered

94 candidates to 52 candidates (55.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

regimes220.0ms

Accuracy

37.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.2b

bsearch68.0ms

Steps

Iters	Range		Point
10	-7.069370824213509e+21	-9660063.13961796	-4.018452276373381e+21

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	18
1	37	18

end0.0ms

sample976.0ms

Algorithm

intervals

Results

537.0ms

11714×

body

valid

Details

sample34.0ms

simplify13.0ms

prune7.0ms

localize10.0ms

rewrite24.0ms

series168.0ms

simplify46.0ms

prune144.0ms

localize17.0ms

rewrite30.0ms

series528.0ms

simplify68.0ms

prune248.0ms

localize19.0ms

rewrite35.0ms

series641.0ms

simplify120.0ms

prune297.0ms

localize23.0ms

rewrite41.0ms

series692.0ms

simplify56.0ms

prune187.0ms

regimes220.0ms

bsearch68.0ms

simplify1.0ms

end0.0ms

sample976.0ms

Profiling