Details

sample242.0ms

Algorithm

intervals

Results

212.0ms	280×	body	80	valid
8.0ms	95×	body	80	nan

simplify431.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	141	37
1	141	37

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: 19.5b

Counts

2 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (* b b) (* c (* 4.0 a)))
2.4b	(- (neg b) (sqrt (- (* b b) (* c (* 4.0 a)))))
22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))
22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-log-exp`
7×	`sqrt-prod`
6×	`pow1` `add-cube-cbrt`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--`
3×	`diff-log`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `distribute-rgt-neg-in` `neg-log`

Counts

4 → 60

Calls

4 calls:

3.0ms	(- (* b b) (* c (* 4.0 a)))
8.0ms	(- (neg b) (sqrt (- (* b b) (* c (* 4.0 a)))))
3.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
6.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* c (* 4.0 a)))
21.0ms	(- (neg b) (sqrt (- (* b b) (* c (* 4.0 a)))))
14.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
24.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))

simplify47.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4971	1002
1	4971	1002

prune192.0ms

Filtered

55 candidates to 72 candidates (-30.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	61	11	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	11	73

Merged error: 5.4b

Counts

73 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

9.8b	(- (* (fabs (cbrt (- (* b b) (* c (* 4.0 a))))) (sqrt (cbrt (- (* b b) (* c (* 4.0 a)))))) b)
22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))
22.9b	(cbrt (- (* b b) (* c (* 4.0 a))))
22.9b	(cbrt (- (* b b) (* c (* 4.0 a))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--`
3×	`sqrt-prod`
2×	`pow1/3` `sqrt-div`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 53

Calls

4 calls:

8.0ms	(- (* (fabs (cbrt (- (* b b) (* c (* 4.0 a))))) (sqrt (cbrt (- (* b b) (* c (* 4.0 a)))))) b)
3.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
3.0ms	(cbrt (- (* b b) (* c (* 4.0 a))))
3.0ms	(cbrt (- (* b b) (* c (* 4.0 a))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* (fabs (cbrt (- (* b b) (* c (* 4.0 a))))) (sqrt (cbrt (- (* b b) (* c (* 4.0 a)))))) b)
14.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
27.0ms	(cbrt (- (* b b) (* c (* 4.0 a))))
27.0ms	(cbrt (- (* b b) (* c (* 4.0 a))))

simplify33.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5231	1109

prune232.0ms

Filtered

58 candidates to 65 candidates (-12.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	65	11	76

Merged error: 5.4b

Counts

76 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))
22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))
22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))
22.9b	(cbrt (- (* b b) (* c (* 4.0 a))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

3.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
4.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
4.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
4.0ms	(cbrt (- (* b b) (* c (* 4.0 a))))

series69.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
14.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
14.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
27.0ms	(cbrt (- (* b b) (* c (* 4.0 a))))

simplify36.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5192	930

prune268.0ms

Filtered

58 candidates to 70 candidates (-20.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	70	11	81

Merged error: 5.4b

Counts

81 → 11

localize31.0ms

Local error

Found 4 expressions with local error:

22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))
22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))
22.1b	(sqrt (- (* b b) (* c (* 4.0 a))))
22.9b	(cbrt (- (* b b) (* c (* 4.0 a))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

3.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
4.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
4.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
3.0ms	(cbrt (- (* b b) (* c (* 4.0 a))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
17.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
14.0ms	(sqrt (- (* b b) (* c (* 4.0 a))))
25.0ms	(cbrt (- (* b b) (* c (* 4.0 a))))

simplify35.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5192	930

prune231.0ms

Filtered

58 candidates to 70 candidates (-20.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	69	12	81

Merged error: 5.4b

Counts

81 → 12

regimes358.0ms

Accuracy

92% (1.2b remaining)

Error of 6.9b against oracle of 5.8b and baseline of 20.2b

bsearch64.0ms

Steps

Iters	Range		Point
7	2.5996502969950744e+89	1.0328335497912372e+91	8.157428220705995e+90
9	-1.6895740895715742e+90	-1.2960772298254508e+84	-7.053240336395823e+84

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	142
1	57	142

end0.0ms

sample1.4s

Algorithm

intervals

Results

732.0ms	8715×	body	80	valid
236.0ms	2950×	body	80	nan

Details

sample242.0ms

simplify431.0ms

prune13.0ms

localize32.0ms

rewrite23.0ms

series68.0ms

simplify47.0ms

prune192.0ms

localize26.0ms

rewrite19.0ms

series100.0ms

simplify33.0ms

prune232.0ms

localize29.0ms

rewrite15.0ms

series69.0ms

simplify36.0ms

prune268.0ms

localize31.0ms

rewrite15.0ms

series70.0ms

simplify35.0ms

prune231.0ms

regimes358.0ms

bsearch64.0ms

simplify2.0ms

end0.0ms

sample1.4s

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