Details

analyze1.0s

Algorithm: search

sample28.0ms

Algorithm

intervals

Results

10.0ms	251×	body	80	valid
1.0ms	18×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

6.0ms	(* 60.0 (- x y))
10.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
8.0ms	(/ (* 60.0 (- x y)) (- z t))

series54.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 60.0 (- x y))
35.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5002	361

prune163.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.3b	(/ 60.0 (/ (- z t) (- x y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 205

Calls

3 calls:

7.0ms	(/ (- z t) (- x y))
29.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
11.0ms	(/ 60.0 (/ (- z t) (- x y)))

series90.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (- z t) (- x y))
37.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
40.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	727	1908
1	3212	1851
2	5001	1849

prune226.0ms

Filtered

145 candidates to 214 candidates (-47.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	216	6	222

Merged error: 0.0b

Counts

222 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x y))
0.0b	(/ 60.0 (- z t))
0.0b	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
0.3b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 596

Calls

4 calls:

5.0ms	(/ 1 (- x y))
5.0ms	(/ 60.0 (- z t))
91.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
22.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- x y))
5.0ms	(/ 60.0 (- z t))
34.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
54.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify118.0ms

Algorithm

egg-herbie

Counts

608 → 608

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2343	7709
1	5002	7153

prune662.0ms

Filtered

310 candidates to 608 candidates (-96.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	608	0	608
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	608	6	614

Merged error: 0.0b

Counts

614 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
0.3b	(/ 1 (/ (- z t) (* 60.0 (- x y))))
0.5b	(/ (- z t) (* 60.0 (- x y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`div-inv` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

6.0ms	(* 60.0 (- x y))
18.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
10.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))
8.0ms	(/ (- z t) (* 60.0 (- x y)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 60.0 (- x y))
36.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
38.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))
16.0ms	(/ (- z t) (* 60.0 (- x y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	561	1048
1	2686	873
2	5001	869

prune114.0ms

Filtered

83 candidates to 151 candidates (-81.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	151	6	157

Merged error: 0.0b

Counts

157 → 6

regimes1.0s

Accuracy

0% (0.1b 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	15	6
1	15	6

end0.0ms

analyze974.0ms

Algorithm: search

sample643.0ms

Algorithm

intervals

Results

325.0ms	7869×	body	80	valid
30.0ms	664×	body	80	invalid
7.0ms	39×	body	1280	valid
5.0ms	24×	body	2560	valid
5.0ms	34×	body	640	valid
2.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Details

analyze1.0s

sample28.0ms

simplify54.0ms

prune4.0ms

localize9.0ms

rewrite25.0ms

series54.0ms

simplify43.0ms

prune163.0ms

localize9.0ms

rewrite60.0ms

series90.0ms

simplify88.0ms

prune226.0ms

localize10.0ms

rewrite173.0ms

series98.0ms

simplify118.0ms

prune662.0ms

localize11.0ms

rewrite47.0ms

series94.0ms

simplify65.0ms

prune114.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze974.0ms

sample643.0ms

Profiling

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6