Details

analyze2.0s

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

sample99.0ms

Algorithm

intervals

Results

36.0ms	387×	body	80	invalid
21.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 10.8b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.1b	(* x (- (* y z) (* t a)))
4.9b	(* b (- (* c z) (* t i)))
5.2b	(* j (- (* c a) (* y i)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
18.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* b (- (* c z) (* t i)))
21.0ms	(* j (- (* c a) (* y i)))

simplify39.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5158	1551

prune252.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	79	18	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	18	98

Merged error: 3.6b

Counts

98 → 18

localize27.0ms

Local error

Found 4 expressions with local error:

5.2b	(* j (- (* c a) (* y i)))
5.8b	(cbrt (* x (- (* y z) (* a t))))
5.8b	(cbrt (* x (- (* y z) (* a t))))
5.8b	(cbrt (* x (- (* y z) (* a t))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

5.0ms	(* j (- (* c a) (* y i)))
4.0ms	(cbrt (* x (- (* y z) (* a t))))
4.0ms	(cbrt (* x (- (* y z) (* a t))))
4.0ms	(cbrt (* x (- (* y z) (* a t))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (- (* c a) (* y i)))
41.0ms	(cbrt (* x (- (* y z) (* a t))))
43.0ms	(cbrt (* x (- (* y z) (* a t))))
40.0ms	(cbrt (* x (- (* y z) (* a t))))

simplify57.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5337	816

prune172.0ms

Filtered

59 candidates to 67 candidates (-13.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	6	11	17
Picked	1	0	1
Done	0	0	0
Total	72	13	85

Merged error: 1.1b

Counts

85 → 13

localize29.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (- (* y z) (* a t)))
5.2b	(* j (- (* c a) (* y i)))
5.8b	(cbrt (* x (- (* y z) (* a t))))
5.8b	(cbrt (* x (- (* y z) (* a t))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (- (* y z) (* a t)))
5.0ms	(* j (- (* c a) (* y i)))
5.0ms	(cbrt (* x (- (* y z) (* a t))))
5.0ms	(cbrt (* x (- (* y z) (* a t))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- (* y z) (* a t)))
18.0ms	(* j (- (* c a) (* y i)))
40.0ms	(cbrt (* x (- (* y z) (* a t))))
43.0ms	(cbrt (* x (- (* y z) (* a t))))

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5224	833

prune172.0ms

Filtered

61 candidates to 69 candidates (-13.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	70	12	82

Merged error: 1.1b

Counts

82 → 12

localize31.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (- (* y z) (* a t)))
5.0b	(* y (* j (neg i)))
5.8b	(cbrt (* x (- (* y z) (* a t))))
5.8b	(cbrt (* x (- (* y z) (* a t))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (- (* y z) (* a t)))
5.0ms	(* y (* j (neg i)))
4.0ms	(cbrt (* x (- (* y z) (* a t))))
4.0ms	(cbrt (* x (- (* y z) (* a t))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (- (* y z) (* a t)))
6.0ms	(* y (* j (neg i)))
41.0ms	(cbrt (* x (- (* y z) (* a t))))
44.0ms	(cbrt (* x (- (* y z) (* a t))))

simplify63.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5558	710

prune89.0ms

Filtered

54 candidates to 66 candidates (-22.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	65	13	78

Merged error: 1.1b

Counts

78 → 13

regimes1.7s

Accuracy

28.5% (8.1b remaining)

Error of 9.9b against oracle of 1.8b and baseline of 13.1b

bsearch13.7s

Steps

Iters	Range		Point
7	2.964058484810482e+77	3.783866019601407e+79	1.030598279388387e+79
8	4.8009483654127086e-195	1.6275848587199385e-192	7.67167733147901e-193
9	-5.998374630826552e+40	-7.505452369508014e+34	-4.053216714612071e+40

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	123	164
1	123	164

end0.0ms

analyze2.0s

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

sample2.5s

Algorithm

intervals

Results

915.0ms	11014×	body	80	invalid
672.0ms	8000×	body	80	valid

Details

analyze2.0s

sample99.0ms

simplify4.0ms

prune12.0ms

localize21.0ms

rewrite27.0ms

series129.0ms

simplify39.0ms

prune252.0ms

localize27.0ms

rewrite20.0ms

series144.0ms

simplify57.0ms

prune172.0ms

localize29.0ms

rewrite19.0ms

series141.0ms

simplify50.0ms

prune172.0ms

localize31.0ms

rewrite18.0ms

series131.0ms

simplify63.0ms

prune89.0ms

regimes1.7s

bsearch13.7s

simplify2.0ms

end0.0ms

analyze2.0s

sample2.5s

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