Details

analyze46.0ms

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

sample19.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	799	14
1	799	14

prune6.0ms

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: 0.2b

Counts

2 → 1

localize10.0ms

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	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite25.0ms

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:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series25.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4981	999
1	4981	999

prune162.0ms

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: 0b

Counts

96 → 10

localize10.0ms

Local error

Found 3 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))
0.4b	(/ 1.0 (* x 9.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 156

Calls

3 calls:

33.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series19.0ms

Counts

3 → 9

Calls

3 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))

simplify63.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	2300
1	4967	2300

prune220.0ms

Filtered

112 candidates to 165 candidates (-47.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	166	9	175

Merged error: 0b

Counts

175 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
95×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
79×	`add-cube-cbrt`
44×	`sqrt-prod`
13×	`associate-/l*`
8×	`div-inv`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/r*`
5×	`difference-of-squares`
3×	`cbrt-undiv` `diff-log` `div-exp` `distribute-lft-out--`
2×	`pow1` `sub-neg` `flip3--` `frac-sub` `flip--`
1×	`associate--l-` `frac-2neg` `associate--l+` `clear-num` `associate-/l/`

Counts

2 → 135

Calls

2 calls:

36.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
9.0ms	(/ (/ y 3.0) (sqrt x))

simplify65.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4968	2078
1	4968	2078

prune186.0ms

Filtered

97 candidates to 141 candidates (-45.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	141	9	150

Merged error: 0b

Counts

150 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
0.3b	(/ y (sqrt x))
0.4b	(* (/ 1 3.0) (/ y (sqrt x)))
0.4b	(/ 1.0 (* x 9.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`times-frac`
44×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `add-log-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`associate--l-` `pow-prod-down` `associate--l+` `*-commutative`

Counts

4 → 148

Calls

4 calls:

11.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
13.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series26.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
7.0ms	(/ y (sqrt x))
8.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4977	1741
1	4977	1741

prune170.0ms

Filtered

111 candidates to 160 candidates (-44.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	160	9	169

Merged error: 0b

Counts

169 → 9

regimes116.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	52	14
1	52	14

end0.0ms

sample480.0ms

Algorithm

intervals

Results

342.0ms	8000×	body	80	valid
4.0ms	96×	body	80	invalid

Details

analyze46.0ms

sample19.0ms

simplify34.0ms

prune6.0ms

localize10.0ms

rewrite25.0ms

series25.0ms

simplify50.0ms

prune162.0ms

localize10.0ms

rewrite52.0ms

series19.0ms

simplify63.0ms

prune220.0ms

localize8.0ms

rewrite49.0ms

series17.0ms

simplify65.0ms

prune186.0ms

localize11.0ms

rewrite36.0ms

series26.0ms

simplify60.0ms

prune170.0ms

regimes116.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample480.0ms

Profiling