Details

analyze2.3s

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

sample89.0ms

Algorithm

intervals

Results

26.0ms	323×	body	80	invalid
20.0ms	256×	body	80	valid

simplify308.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (306.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	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: 11.3b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
3.8b	(* b (- (* c z) (* i a)))
4.7b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

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

series319.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
21.0ms	(* b (- (* c z) (* i a)))
18.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* j (- (* c t) (* i y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5041	3303

prune255.0ms

Filtered

81 candidates to 108 candidates (-33.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	92	16	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	16	109

Merged error: 4.9b

Counts

109 → 16

localize27.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt (- (* c z) (* i a)))
5.4b	(cbrt (- (* c z) (* i a)))
5.4b	(cbrt (- (* c z) (* i a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite20.0ms

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 (- (* c z) (* i a)))
4.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (- (* c z) (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (- (* c z) (* i a)))
39.0ms	(cbrt (- (* c z) (* i a)))
38.0ms	(cbrt (- (* c z) (* i a)))
18.0ms	(* j (- (* c t) (* i y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4936	894
1	4936	894

prune178.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	73	16	89

Merged error: 4.9b

Counts

89 → 16

localize27.0ms

Local error

Found 4 expressions with local error:

5.8b	(* j (- (* c t) (* i y)))
6.2b	(cbrt (* j (- (* c t) (* i y))))
6.2b	(cbrt (* j (- (* c t) (* i y))))
6.2b	(cbrt (* j (- (* c t) (* i y))))

rewrite23.0ms

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:

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

series145.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* j (- (* c t) (* i y)))
41.0ms	(cbrt (* j (- (* c t) (* i y))))
44.0ms	(cbrt (* j (- (* c t) (* i y))))
42.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4999	831
1	4999	831

prune176.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	66	17	83

Merged error: 4.9b

Counts

83 → 17

localize32.0ms

Local error

Found 4 expressions with local error:

5.8b	(* j (- (* c t) (* i y)))
6.2b	(cbrt (* j (- (* c t) (* i y))))
6.2b	(cbrt (* j (- (* c t) (* i y))))
7.2b	(cbrt (- (* c t) (* i y)))

rewrite20.0ms

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:

6.0ms	(* j (- (* c t) (* i y)))
5.0ms	(cbrt (* j (- (* c t) (* i y))))
5.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (- (* c t) (* i y)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (- (* c t) (* i y)))
41.0ms	(cbrt (* j (- (* c t) (* i y))))
45.0ms	(cbrt (* j (- (* c t) (* i y))))
37.0ms	(cbrt (- (* c t) (* i y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5026	839

prune95.0ms

Filtered

60 candidates to 69 candidates (-15.0%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	14	14
Picked	0	1	1
Done	0	2	2
Total	68	18	86

Merged error: 4.9b

Counts

86 → 18

regimes2.0s

Accuracy

34.1% (5.8b remaining)

Error of 9.6b against oracle of 3.8b and baseline of 12.6b

bsearch113.0ms

Steps

Iters	Range		Point
9	8.132498829294372e+99	2.3807155974063885e+107	8.238285082013696e+99
5	-3.5112569581109305e-71	-9.274415810620916e-72	-2.91527874359104e-71

simplify19.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	879	71
1	879	71

end0.0ms

sample2.6s

Algorithm

intervals

Results

939.0ms	11210×	body	80	invalid
672.0ms	8000×	body	80	valid

Details

analyze2.3s

sample89.0ms

simplify308.0ms

prune12.0ms

localize25.0ms

rewrite33.0ms

series319.0ms

simplify50.0ms

prune255.0ms

localize27.0ms

rewrite20.0ms

series132.0ms

simplify43.0ms

prune178.0ms

localize27.0ms

rewrite23.0ms

series145.0ms

simplify45.0ms

prune176.0ms

localize32.0ms

rewrite20.0ms

series143.0ms

simplify48.0ms

prune95.0ms

regimes2.0s

bsearch113.0ms

simplify19.0ms

end0.0ms

sample2.6s

Profiling