Details

analyze1.9s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample86.0ms

Algorithm

intervals

Results

26.0ms	349×	body	80	invalid
24.0ms	256×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 13.4b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
5.0b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* z c) (* t i)))
6.4b	(* j (- (* a c) (* y i)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 77

Calls

4 calls:

3.0ms	(- (* y z) (* t a))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* z c) (* t i)))
6.0ms	(* j (- (* a c) (* y i)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (* y z) (* t a))
19.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* b (- (* z c) (* t i)))
20.0ms	(* j (- (* a c) (* y i)))

simplify39.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5023	937

prune223.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	72	17	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	17	90

Merged error: 4.9b

Counts

90 → 17

localize21.0ms

Local error

Found 4 expressions with local error:

5.0b	(* b (- (* z c) (* t i)))
5.3b	(* y (* z x))
6.1b	(* a (* t (neg x)))
6.4b	(* j (- (* a c) (* y i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `distribute-rgt-neg-out` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* b (- (* z c) (* t i)))
5.0ms	(* y (* z x))
5.0ms	(* a (* t (neg x)))
6.0ms	(* j (- (* a c) (* y i)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* b (- (* z c) (* t i)))
8.0ms	(* y (* z x))
7.0ms	(* a (* t (neg x)))
19.0ms	(* j (- (* a c) (* y i)))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5064	786

prune214.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	91	19	110

Merged error: 3.9b

Counts

110 → 19

localize29.0ms

Local error

Found 4 expressions with local error:

6.4b	(* j (- (* a c) (* y i)))
7.3b	(cbrt (- (* z c) (* t i)))
7.3b	(cbrt (- (* c z) (* i t)))
7.3b	(cbrt (- (* c z) (* i t)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

6.0ms	(* j (- (* a c) (* y i)))
3.0ms	(cbrt (- (* z c) (* t i)))
3.0ms	(cbrt (- (* c z) (* i t)))
3.0ms	(cbrt (- (* c z) (* i t)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* j (- (* a c) (* y i)))
42.0ms	(cbrt (- (* z c) (* t i)))
39.0ms	(cbrt (- (* c z) (* i t)))
41.0ms	(cbrt (- (* c z) (* i t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4947	879
1	4947	879

prune189.0ms

Filtered

61 candidates to 73 candidates (-19.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	75	17	92

Merged error: 0.8b

Counts

92 → 17

localize21.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* y z) (* t a)))
5.2b	(* c (* b z))
5.6b	(* i (* b (neg t)))
6.4b	(* j (- (* a c) (* y i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `distribute-rgt-neg-out` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* c (* b z))
5.0ms	(* i (* b (neg t)))
6.0ms	(* j (- (* a c) (* y i)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* c (* b z))
6.0ms	(* i (* b (neg t)))
22.0ms	(* j (- (* a c) (* y i)))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5103	786

prune90.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	89	21	110

Merged error: 0.8b

Counts

110 → 21

regimes2.2s

Accuracy

28.9% (8.2b remaining)

Error of 8.8b against oracle of 0.6b and baseline of 12.1b

bsearch8.6s

Steps

Iters	Range		Point
8	1.3777291853073082e+25	4.424107906993579e+28	1.774711168356228e+26
8	-1.3071951813565864e-38	-2.7340174472665665e-43	-1.1329614540433217e-41

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	116	95
1	116	95

end0.0ms

analyze1.9s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample2.4s

Algorithm

intervals

Results

907.0ms	10925×	body	80	invalid
627.0ms	8000×	body	80	valid

Details

analyze1.9s

sample86.0ms

simplify3.0ms

prune13.0ms

localize25.0ms

rewrite22.0ms

series72.0ms

simplify39.0ms

prune223.0ms

localize21.0ms

rewrite23.0ms

series54.0ms

simplify49.0ms

prune214.0ms

localize29.0ms

rewrite17.0ms

series144.0ms

simplify76.0ms

prune189.0ms

localize21.0ms

rewrite23.0ms

series53.0ms

simplify48.0ms

prune90.0ms

regimes2.2s

bsearch8.6s

simplify2.0ms

end0.0ms

analyze1.9s

sample2.4s

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