Details

analyze2.2s

Algorithm

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

sample78.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
19.0ms	249×	body	80	invalid

simplify258.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (255.0ms)

Iter	Nodes	Cost
0	3114	29
1	3114	29

prune20.0ms

Filtered

1 candidates to 1 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: 0.3b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.3b	(* 18.0 (* y (* z t)))
3.4b	(* x (* 18.0 (* y (* z t))))
4.7b	(* y (* z t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(* j (* 27.0 k))
6.0ms	(* 18.0 (* y (* z t)))
9.0ms	(* x (* 18.0 (* y (* z t))))
5.0ms	(* y (* z t))

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* j (* 27.0 k))
6.0ms	(* 18.0 (* y (* z t)))
10.0ms	(* x (* 18.0 (* y (* z t))))
5.0ms	(* y (* z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5545	670

prune146.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	7	95

Merged error: 0.1b

Counts

95 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* 18.0 (* z t))
3.4b	(* x (* y (* 18.0 (* z t))))
4.7b	(* y (* 18.0 (* z t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

4.0ms	(* j (* 27.0 k))
5.0ms	(* 18.0 (* z t))
9.0ms	(* x (* y (* 18.0 (* z t))))
6.0ms	(* y (* 18.0 (* z t)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* j (* 27.0 k))
3.0ms	(* 18.0 (* z t))
12.0ms	(* x (* y (* 18.0 (* z t))))
6.0ms	(* y (* 18.0 (* z t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5518	674

prune109.0ms

Filtered

47 candidates to 93 candidates (-97.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

4.7b	(* y (* z t))
6.6b	(cbrt (* j (* 27.0 k)))
6.6b	(cbrt (* j (* 27.0 k)))
6.6b	(cbrt (* j (* 27.0 k)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

5.0ms	(* y (* z t))
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (* z t))
17.0ms	(cbrt (* j (* 27.0 k)))
18.0ms	(cbrt (* j (* 27.0 k)))
16.0ms	(cbrt (* j (* 27.0 k)))

simplify136.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4907	363
1	4907	363

prune129.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	57	5	62

Merged error: 0.0b

Counts

62 → 5

localize33.0ms

Local error

Found 4 expressions with local error:

3.4b	(* x (* 18.0 (* y (* z t))))
4.7b	(* y (* z t))
6.6b	(cbrt (* j (* 27.0 k)))
6.6b	(cbrt (* j (* 27.0 k)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

9.0ms	(* x (* 18.0 (* y (* z t))))
5.0ms	(* y (* z t))
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* x (* 18.0 (* y (* z t))))
6.0ms	(* y (* z t))
22.0ms	(cbrt (* j (* 27.0 k)))
17.0ms	(cbrt (* j (* 27.0 k)))

simplify68.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5108	534

prune115.0ms

Filtered

45 candidates to 72 candidates (-60.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

regimes2.0s

Accuracy

73.6% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 5.7b

bsearch68.0ms

Steps

Iters	Range		Point
8	3.569819132845067e-46	9.318115542207804e-43	1.8467307309333337e-43
3	-7.225788050544508e-22	-5.9271525181106065e-22	-7.14462332976739e-22

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	181	67
1	181	67

end0.0ms

sample2.2s

Algorithm

intervals

Results

681.0ms	8000×	body	80	valid
674.0ms	8192×	body	80	invalid

Details

analyze2.2s

sample78.0ms

simplify258.0ms

prune20.0ms

localize20.0ms

rewrite29.0ms

series25.0ms

simplify47.0ms

prune146.0ms

localize20.0ms

rewrite26.0ms

series25.0ms

simplify40.0ms

prune109.0ms

localize24.0ms

rewrite16.0ms

series57.0ms

simplify136.0ms

prune129.0ms

localize33.0ms

rewrite23.0ms

series55.0ms

simplify68.0ms

prune115.0ms

regimes2.0s

bsearch68.0ms

simplify3.0ms

end0.0ms

sample2.2s

Profiling