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

sample98.0ms

Algorithm

intervals

Results

31.0ms	393×	body	80	invalid
25.0ms	256×	body	80	valid

simplify309.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (307.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.7b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* c z) (* t i))
5.1b	(* x (- (* y z) (* t a)))
5.4b	(* j (- (* c a) (* y i)))
7.4b	(* b (- (* c z) (* t i)))

rewrite23.0ms

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

series67.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c z) (* t i))
21.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* j (- (* c a) (* y i)))
18.0ms	(* b (- (* c z) (* t i)))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune227.0ms

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: 5.7b

Counts

90 → 17

localize25.0ms

Local error

Found 4 expressions with local error:

6.2b	(cbrt (* j (- (* c a) (* i y))))
6.2b	(cbrt (* j (- (* c a) (* i y))))
6.2b	(cbrt (* j (- (* c a) (* i y))))
7.4b	(* b (- (* c z) (* t i)))

rewrite21.0ms

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

series151.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (* j (- (* c a) (* i y))))
45.0ms	(cbrt (* j (- (* c a) (* i y))))
43.0ms	(cbrt (* j (- (* c a) (* i y))))
19.0ms	(* b (- (* c z) (* t i)))

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5101	831

prune190.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	16	16
Picked	1	0	1
Done	0	0	0
Total	67	17	84

Merged error: 5.7b

Counts

84 → 17

localize27.0ms

Local error

Found 4 expressions with local error:

5.4b	(* j (- (* c a) (* y i)))
7.4b	(* b (- (* c z) (* t i)))
7.4b	(* b (- (* c z) (* t i)))
7.4b	(* b (- (* c z) (* t i)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

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

series74.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (- (* c a) (* y i)))
18.0ms	(* b (- (* c z) (* t i)))
19.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* b (- (* c z) (* t i)))

simplify37.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4973	1056
1	4973	1056

prune202.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	99	18	117

Merged error: 5.7b

Counts

117 → 18

localize36.0ms

Local error

Found 4 expressions with local error:

7.4b	(* b (- (* c z) (* t i)))
8.2b	(cbrt (- (* c z) (* t i)))
8.2b	(cbrt (- (* c z) (* t i)))
8.2b	(cbrt (- (* c z) (* t i)))

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

series136.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* b (- (* c z) (* t i)))
39.0ms	(cbrt (- (* c z) (* t i)))
41.0ms	(cbrt (- (* c z) (* t i)))
38.0ms	(cbrt (- (* c z) (* t i)))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5075	892

prune105.0ms

Filtered

61 candidates to 73 candidates (-19.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	72	19	91

Merged error: 5.7b

Counts

91 → 19

regimes2.1s

Accuracy

38.2% (5.3b remaining)

Error of 9.3b against oracle of 4.0b and baseline of 12.6b

bsearch108.0ms

Steps

Iters	Range		Point
7	8.679265627208994e-49	8.082595150704908e-47	6.169948302886607e-47
9	-2.4735852307876138e+33	-9.79560337310216e+27	-2.837141671072087e+30

simplify18.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	879	71
1	879	71

end0.0ms

sample2.6s

Algorithm

intervals

Results

924.0ms	11153×	body	80	invalid
666.0ms	8000×	body	80	valid

Details

analyze2.0s

sample98.0ms

simplify309.0ms

prune13.0ms

localize25.0ms

rewrite23.0ms

series67.0ms

simplify45.0ms

prune227.0ms

localize25.0ms

rewrite21.0ms

series151.0ms

simplify41.0ms

prune190.0ms

localize27.0ms

rewrite27.0ms

series74.0ms

simplify37.0ms

prune202.0ms

localize36.0ms

rewrite19.0ms

series136.0ms

simplify43.0ms

prune105.0ms

regimes2.1s

bsearch108.0ms

simplify18.0ms

end0.0ms

sample2.6s

Profiling