Details

analyze670.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	74×	body	80	invalid

simplify206.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (204.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune7.0ms

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: 4.3b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.1b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`associate-/r/` `frac-sub`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
17.0ms	(- (/ y z) (/ t (- 1.0 z)))
21.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series32.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
11.0ms	(- (/ y z) (/ t (- 1.0 z)))
16.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5153	1120

prune167.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	82	13	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	13	96

Merged error: 0.4b

Counts

96 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b	(* t (/ 1 (- 1.0 z)))
4.1b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`associate-r`
22×	`*-un-lft-identity`
17×	`times-frac`
15×	`add-cube-cbrt`
14×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `associate-*r/`
6×	`associate-l`
5×	`prod-exp` `add-log-exp`
4×	`frac-sub` `unswap-sqr`
3×	`sub-neg` `flip3--` `un-div-inv` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`div-exp` `pow-prod-down` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `diff-log` `1-exp` `div-inv`

Counts

3 → 81

Calls

3 calls:

6.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
10.0ms	(* t (/ 1 (- 1.0 z)))
8.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series32.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
7.0ms	(* t (/ 1 (- 1.0 z)))
16.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4939	932
1	4939	932

prune159.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	90	13	103

Merged error: 0.4b

Counts

103 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
1.0b	(/ 1 (/ (- 1.0 z) t))
4.1b	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
153×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
61×	`add-cube-cbrt`
32×	`difference-of-squares`
19×	`associate-/r*`
18×	`distribute-lft-out--`
16×	`add-exp-log` `associate-r`
10×	`add-cbrt-cube`
7×	`div-exp` `div-inv`
6×	`pow1`
5×	`add-log-exp`
3×	`cbrt-undiv` `sub-neg` `associate-r/` `associate-l` `associate-/l`
2×	`rec-exp` `flip3--` `1-exp` `frac-sub` `flip--`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

3 → 161

Calls

3 calls:

40.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
8.0ms	(/ 1 (/ (- 1.0 z) t))
44.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series29.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
5.0ms	(/ 1 (/ (- 1.0 z) t))
15.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify65.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4996	2206
1	4996	2206

prune210.0ms

Filtered

104 candidates to 170 candidates (-63.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	167	3	170
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	169	14	183

Merged error: 0.4b

Counts

183 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (/ y z) (/ t (- 1.0 z))))
6.3b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.3b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.3b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
12×	`associate-*r/`
10×	`associate-r`
9×	`cbrt-div`
8×	`times-frac`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`cbrt-prod` `pow1/3` `associate-l`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

24.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
18.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
56.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
71.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4977	1116
1	4977	1116

prune150.0ms

Filtered

64 candidates to 78 candidates (-21.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	77	15	92

Merged error: 0.4b

Counts

92 → 15

regimes810.0ms

Accuracy

84.5% (0.6b remaining)

Error of 1.4b against oracle of 0.8b and baseline of 4.6b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	121	55
1	121	55

end0.0ms

sample630.0ms

Algorithm

intervals

Results

310.0ms	8000×	body	80	valid
71.0ms	1928×	body	80	invalid

Details

analyze670.0ms

sample25.0ms

simplify206.0ms

prune7.0ms

localize13.0ms

rewrite47.0ms

series32.0ms

simplify47.0ms

prune167.0ms

localize9.0ms

rewrite27.0ms

series32.0ms

simplify54.0ms

prune159.0ms

localize9.0ms

rewrite99.0ms

series29.0ms

simplify65.0ms

prune210.0ms

localize12.0ms

rewrite81.0ms

series200.0ms

simplify45.0ms

prune150.0ms

regimes810.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample630.0ms

Profiling