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

sample94.0ms

Algorithm

intervals

Results

30.0ms	367×	body	80	invalid
24.0ms	256×	body	80	valid

simplify310.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (308.0ms)

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: 12.8b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c z) (* t i))
5.4b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))
5.6b	(* j (- (* c a) (* y 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	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c z) (* t i))
19.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* b (- (* c z) (* t i)))
20.0ms	(* j (- (* c a) (* y i)))

simplify43.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune223.0ms

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: 4.7b

Counts

90 → 17

localize25.0ms

Local error

Found 4 expressions with local error:

3.9b	(* y (* z x))
5.3b	(* a (* t (neg x)))
5.4b	(* b (- (* c z) (* t i)))
5.6b	(* j (- (* c a) (* y i)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

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

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (* z x))
6.0ms	(* a (* t (neg x)))
19.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* j (- (* c a) (* y i)))

simplify36.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5059	786

prune211.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	90	20	110

Merged error: 3.9b

Counts

110 → 20

localize29.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (cbrt y) (cbrt y)) (* z (* x (cbrt y))))
5.3b	(* a (* t (neg x)))
5.4b	(* b (- (* c z) (* t i)))
5.6b	(* j (- (* c a) (* y i)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

11.0ms	(* (* (cbrt y) (cbrt y)) (* z (* x (cbrt y))))
5.0ms	(* a (* t (neg x)))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (* (cbrt y) (cbrt y)) (* z (* x (cbrt y))))
6.0ms	(* a (* t (neg x)))
18.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* j (- (* c a) (* y i)))

simplify36.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5108	854

prune197.0ms

Filtered

63 candidates to 103 candidates (-63.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	103	20	123

Merged error: 3.9b

Counts

123 → 20

localize27.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (- (* c a) (* y i)) (cbrt j))
3.9b	(* y (* z x))
5.3b	(* a (* t (neg x)))
5.4b	(* b (- (* c z) (* t i)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

7.0ms	(* (- (* c a) (* y i)) (cbrt j))
4.0ms	(* y (* z x))
5.0ms	(* a (* t (neg x)))
8.0ms	(* b (- (* c z) (* t i)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- (* c a) (* y i)) (cbrt j))
6.0ms	(* y (* z x))
7.0ms	(* a (* t (neg x)))
19.0ms	(* b (- (* c z) (* t i)))

simplify38.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5073	851

prune95.0ms

Filtered

72 candidates to 95 candidates (-31.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	95	20	115

Merged error: 3.9b

Counts

115 → 20

regimes2.0s

Accuracy

32.3% (6.1b remaining)

Error of 9.2b against oracle of 3.1b and baseline of 12.2b

bsearch105.0ms

Steps

Iters	Range		Point
8	3.5840862556199072e-56	1.0737478122851018e-52	5.1255690185328515e-53
7	-2.3513286613556583e+40	-2.3197640344095463e+38	-1.521938149705369e+39

simplify20.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	946	78
1	946	78

end0.0ms

sample2.6s

Algorithm

intervals

Results

966.0ms	11229×	body	80	invalid
684.0ms	8000×	body	80	valid

Details

analyze2.0s

sample94.0ms

simplify310.0ms

prune12.0ms

localize19.0ms

rewrite23.0ms

series67.0ms

simplify43.0ms

prune223.0ms

localize25.0ms

rewrite24.0ms

series49.0ms

simplify36.0ms

prune211.0ms

localize29.0ms

rewrite31.0ms

series54.0ms

simplify36.0ms

prune197.0ms

localize27.0ms

rewrite26.0ms

series75.0ms

simplify38.0ms

prune95.0ms

regimes2.0s

bsearch105.0ms

simplify20.0ms

end0.0ms

sample2.6s

Profiling