Details

sample107.0ms

Algorithm

intervals

Results

44.0ms

510×

body

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune29.0ms

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: 6.9b

Counts

2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.5b	(* (* x 18.0) y)
5.2b	(* (* (* x 18.0) y) z)
5.6b	(* (* (* (* x 18.0) y) z) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

4.0ms	(* (* x 4.0) i)
5.0ms	(* (* x 18.0) y)
6.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* (* (* (* x 18.0) y) z) t)

series138.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 4.0) i)
19.0ms	(* (* x 18.0) y)
25.0ms	(* (* (* x 18.0) y) z)
75.0ms	(* (* (* (* x 18.0) y) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	355	423
1	2132	320
2	5001	320

prune496.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	89	6	95

Merged error: 1.1b

Counts

95 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 4.0) i)
4.4b	(* (* x 18.0) (* y z))
5.6b	(* (* (* x 18.0) (* y z)) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

4.0ms	(* (* j 27.0) k)
4.0ms	(* (* x 4.0) i)
6.0ms	(* (* x 18.0) (* y z))
9.0ms	(* (* (* x 18.0) (* y z)) t)

series115.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 4.0) i)
27.0ms	(* (* x 18.0) (* y z))
47.0ms	(* (* (* x 18.0) (* y z)) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	428	456
1	2242	337
2	5002	337

prune510.0ms

Filtered

97 candidates to 44 candidates (45.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Merged error: 0.6b

Counts

103 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.2b	(* j (* 27.0 k))
4.4b	(* (* x 18.0) (* y z))
5.6b	(* (* (* x 18.0) (* y z)) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

7.0ms	(* (* x 4.0) i)
4.0ms	(* j (* 27.0 k))
6.0ms	(* (* x 18.0) (* y z))
9.0ms	(* (* (* x 18.0) (* y z)) t)

series106.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 4.0) i)
19.0ms	(* j (* 27.0 k))
25.0ms	(* (* x 18.0) (* y z))
42.0ms	(* (* (* x 18.0) (* y z)) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	420	455
1	2131	336
2	5001	336

prune500.0ms

Filtered

97 candidates to 45 candidates (46.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	97	9	106

Merged error: 0.6b

Counts

106 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (* (* x 18.0) (* y z)) t)
8.6b	(cbrt (* (* j 27.0) k))
8.6b	(cbrt (* (* j 27.0) k))
8.6b	(cbrt (* (* j 27.0) k))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

9.0ms	(* (* (* x 18.0) (* y z)) t)
3.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))
3.0ms	(cbrt (* (* j 27.0) k))

series311.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* (* x 18.0) (* y z)) t)
89.0ms	(cbrt (* (* j 27.0) k))
89.0ms	(cbrt (* (* j 27.0) k))
91.0ms	(cbrt (* (* j 27.0) k))

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	310	394
1	1408	319
2	5002	289

prune436.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	65	10	75

Merged error: 0.6b

Counts

75 → 10

regimes3.2s

Accuracy

47.6% (3.3b remaining)

Error of 3.6b against oracle of 0.3b and baseline of 6.6b

bsearch297.0ms

Steps

Iters	Range		Point
6	0.18882180307018534	1.1861314477149567	0.25828603891153634
10	-3.990666573344001e-23	-7.56474320208183e-34	-7.94289359297565e-32

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	30
1	64	30

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s

16046×

body

valid

Details

sample107.0ms

simplify141.0ms

prune29.0ms

localize22.0ms

rewrite27.0ms

series138.0ms

simplify65.0ms

prune496.0ms

localize23.0ms

rewrite27.0ms

series115.0ms

simplify68.0ms

prune510.0ms

localize22.0ms

rewrite29.0ms

series106.0ms

simplify62.0ms

prune500.0ms

localize27.0ms

rewrite22.0ms

series311.0ms

simplify44.0ms

prune436.0ms

regimes3.2s

bsearch297.0ms

simplify2.0ms

end0.0ms

sample2.9s

Profiling