Details

analyze37.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

prune5.0ms

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: 0.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
11×	`add-cube-cbrt`
9×	`add-log-exp`
6×	`pow1` `times-frac` `associate-r` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `associate-/r*` `frac-sub` `flip--` `div-inv` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `associate--l+` `*-commutative` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series22.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5245	999

prune159.0ms

Filtered

72 candidates to 95 candidates (-31.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	10	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ (/ 1.0 x) 9.0)
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`add-log-exp`
6×	`pow1` `associate-r` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`diff-log` `associate-l` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `associate--l+` `*-commutative` `associate-/l/` `difference-of-squares`

Counts

4 → 132

Calls

4 calls:

18.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series25.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
2.0ms	(/ (/ 1.0 x) 9.0)
8.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))

simplify65.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4962	1628
1	4962	1628

prune219.0ms

Filtered

114 candidates to 144 candidates (-26.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	145	9	154

Merged error: 0.0b

Counts

154 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x (sqrt 9.0)))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
45×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
28×	`sqrt-prod`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
6×	`pow1` `associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(/ 1.0 (* x (sqrt 9.0)))
5.0ms	(* 3.0 (sqrt x))
8.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))

series32.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ y (* 3.0 (sqrt x)))
8.0ms	(/ 1.0 (* x (sqrt 9.0)))
4.0ms	(* 3.0 (sqrt x))
12.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4952	1474
1	4952	1474

prune225.0ms

Filtered

99 candidates to 148 candidates (-49.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	148	9	157

Merged error: 0.0b

Counts

157 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
101×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`div-inv`
7×	`associate-/r*`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `associate--l+` `cbrt-unprod` `associate-/l/`

Counts

4 → 169

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
31.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))
9.0ms	(/ (/ y 3.0) (sqrt x))

simplify72.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5714	2470

prune189.0ms

Filtered

125 candidates to 181 candidates (-44.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	181	9	190

Merged error: 0.0b

Counts

190 → 9

regimes110.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms

analyze40.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample498.0ms

Algorithm

intervals

Results

361.0ms	8000×	body	80	valid
5.0ms	105×	body	80	invalid

Details

analyze37.0ms

sample18.0ms

simplify3.0ms

prune5.0ms

localize12.0ms

rewrite24.0ms

series22.0ms

simplify47.0ms

prune159.0ms

localize9.0ms

rewrite36.0ms

series25.0ms

simplify65.0ms

prune219.0ms

localize11.0ms

rewrite26.0ms

series32.0ms

simplify77.0ms

prune225.0ms

localize9.0ms

rewrite53.0ms

series22.0ms

simplify72.0ms

prune189.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze40.0ms

sample498.0ms

Profiling