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

sample83.0ms

Algorithm

intervals

Results

29.0ms	312×	body	80	invalid
20.0ms	256×	body	80	valid

simplify302.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (300.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune11.0ms

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: 12.4b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.0b	(* x (- (* y z) (* t a)))
5.5b	(* j (- (* c t) (* i y)))
6.0b	(* b (- (* c z) (* i a)))

rewrite24.0ms

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:

4.0ms	(- (* c z) (* i a))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c z) (* i a))
19.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* j (- (* c t) (* i y)))
21.0ms	(* b (- (* c z) (* i a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4926	937
1	4926	937

prune225.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

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: 4.6b

Counts

90 → 17

localize28.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (- (* c z) (* i a)) (cbrt b))
3.3b	(* (* (cbrt b) (cbrt b)) (* (- (* c z) (* i a)) (cbrt b)))
4.0b	(* x (- (* y z) (* t a)))
5.5b	(* j (- (* c t) (* i y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

7.0ms	(* (- (* c z) (* i a)) (cbrt b))
12.0ms	(* (* (cbrt b) (cbrt b)) (* (- (* c z) (* i a)) (cbrt b)))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* j (- (* c t) (* i y)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (- (* c z) (* i a)) (cbrt b))
27.0ms	(* (* (cbrt b) (cbrt b)) (* (- (* c z) (* i a)) (cbrt b)))
19.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* j (- (* c t) (* i y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4992	1138
1	4992	1138

prune205.0ms

Filtered

71 candidates to 104 candidates (-46.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	104	17	121

Merged error: 4.6b

Counts

121 → 17

localize29.0ms

Local error

Found 4 expressions with local error:

5.8b	(cbrt (- (* z y) (* a t)))
5.8b	(cbrt (- (* z y) (* a t)))
5.8b	(cbrt (- (* y z) (* t a)))
6.0b	(* b (- (* c z) (* i a)))

rewrite19.0ms

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:

4.0ms	(cbrt (- (* z y) (* a t)))
4.0ms	(cbrt (- (* z y) (* a t)))
4.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* i a)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- (* z y) (* a t)))
38.0ms	(cbrt (- (* z y) (* a t)))
38.0ms	(cbrt (- (* y z) (* t a)))
21.0ms	(* b (- (* c z) (* i a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4971	894
1	4971	894

prune191.0ms

Filtered

61 candidates to 73 candidates (-19.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	73	17	90

Merged error: 4.6b

Counts

90 → 17

localize27.0ms

Local error

Found 4 expressions with local error:

5.5b	(* j (- (* c t) (* i y)))
7.7b	(cbrt (- (* c z) (* i a)))
7.7b	(cbrt (- (* c z) (* i a)))
7.7b	(cbrt (- (* c z) (* i a)))

rewrite19.0ms

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

series135.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (- (* c t) (* i y)))
40.0ms	(cbrt (- (* c z) (* i a)))
38.0ms	(cbrt (- (* c z) (* i a)))
38.0ms	(cbrt (- (* c z) (* i a)))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4936	894
1	4936	894

prune84.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	73	17	90

Merged error: 4.6b

Counts

90 → 17

regimes1.9s

Accuracy

35.6% (5.5b remaining)

Error of 9.6b against oracle of 4.0b and baseline of 12.6b

bsearch107.0ms

Steps

Iters	Range		Point
8	9.414363561575544e-17	3.404648337662489e-14	7.11380026928101e-16
8	-9.77782030816821e+29	-1.0548655581482408e+27	-6.809710970042638e+27

simplify25.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	1151	108
1	1151	108

end0.0ms

sample2.5s

Algorithm

intervals

Results

902.0ms	11039×	body	80	invalid
661.0ms	8000×	body	80	valid

Details

analyze1.9s

sample83.0ms

simplify302.0ms

prune11.0ms

localize20.0ms

rewrite24.0ms

series69.0ms

simplify47.0ms

prune225.0ms

localize28.0ms

rewrite34.0ms

series104.0ms

simplify41.0ms

prune205.0ms

localize29.0ms

rewrite19.0ms

series137.0ms

simplify42.0ms

prune191.0ms

localize27.0ms

rewrite19.0ms

series135.0ms

simplify43.0ms

prune84.0ms

regimes1.9s

bsearch107.0ms

simplify25.0ms

end0.0ms

sample2.5s

Profiling