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

sample86.0ms

Algorithm

intervals

Results

26.0ms	337×	body	80	invalid
24.0ms	256×	body	80	valid

simplify288.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (286.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune222.0ms

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: 11.0b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
3.5b	(* x (- (* y z) (* t a)))
4.4b	(* j (- (* c a) (* y i)))
4.9b	(* b (- (* c z) (* t i)))

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:

3.0ms	(- (* c a) (* y i))
7.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* b (- (* c z) (* t i)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

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: 3.4b

Counts

90 → 17

localize21.0ms

Local error

Found 4 expressions with local error:

3.5b	(* x (- (* y z) (* t a)))
4.6b	(* c (* j a))
4.9b	(* b (- (* c z) (* t i)))
5.6b	(* i (* j (neg y)))

rewrite25.0ms

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:

6.0ms	(* x (- (* y z) (* t a)))
4.0ms	(* c (* j a))
6.0ms	(* b (- (* c z) (* t i)))
5.0ms	(* i (* j (neg y)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* c (* j a))
18.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* i (* j (neg y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5173	786

prune210.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	91	19	110

Merged error: 1.2b

Counts

110 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (* c z))
4.6b	(* c (* j a))
4.7b	(* i (* b (neg t)))
5.6b	(* i (* j (neg y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `*-commutative` `distribute-rgt-neg-out` `add-log-exp`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* b (* c z))
4.0ms	(* c (* j a))
5.0ms	(* i (* b (neg t)))
5.0ms	(* i (* j (neg y)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4858	516
1	4858	516

prune174.0ms

Filtered

53 candidates to 86 candidates (-62.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	89	16	105

Merged error: 0.3b

Counts

105 → 16

localize23.0ms

Local error

Found 4 expressions with local error:

3.5b	(* x (- (* y z) (* t a)))
4.4b	(* b (* c z))
4.6b	(* c (* j a))
5.6b	(* i (* j (neg y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))
4.0ms	(* c (* j a))
5.0ms	(* i (* j (neg y)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))
5.0ms	(* c (* j a))
6.0ms	(* i (* j (neg y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4928	639
1	4928	639

prune91.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	92	13	105

Merged error: 0.3b

Counts

105 → 13

regimes1.7s

Accuracy

28.6% (8.6b remaining)

Error of 9.0b against oracle of 0.4b and baseline of 12.5b

bsearch78.0ms

Steps

Iters	Range		Point
7	68792612777175256.0	1.4710634523775642e+19	1.0557116831530113e+19
4	-2.076317596358301e+24	-1.3408271782447297e+24	-1.823492765131761e+24

simplify21.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	1009	73
1	1009	73

end0.0ms

sample2.5s

Algorithm

intervals

Results

930.0ms	10895×	body	80	invalid
682.0ms	8000×	body	80	valid

Details

analyze2.0s

sample86.0ms

simplify288.0ms

prune222.0ms

localize20.0ms

rewrite24.0ms

series68.0ms

simplify50.0ms

prune223.0ms

localize21.0ms

rewrite25.0ms

series47.0ms

simplify34.0ms

prune210.0ms

localize24.0ms

rewrite21.0ms

series25.0ms

simplify49.0ms

prune174.0ms

localize23.0ms

rewrite22.0ms

series37.0ms

simplify42.0ms

prune91.0ms

regimes1.7s

bsearch78.0ms

simplify21.0ms

end0.0ms

sample2.5s

Profiling