Details

analyze972.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

9.0ms	251×	body	80	valid
1.0ms	15×	body	80	invalid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid

simplify53.0ms

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: 0.7b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.7b	(/ (* 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:

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

series50.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
4.0ms	(* 60.0 (- x y))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5001	361

prune108.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

9.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
7.0ms	(/ (- x y) (- z t))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
14.0ms	(/ (- x y) (- z t))
14.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	448	775
1	1788	728
2	5002	728

prune118.0ms

Filtered

81 candidates to 122 candidates (-50.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.4b	(/ 1 (/ (- z t) (* 60.0 (- x y))))
0.7b	(/ (- 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:

16.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
6.0ms	(* 60.0 (- x y))
10.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))
10.0ms	(/ (- z t) (* 60.0 (- x y)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
4.0ms	(* 60.0 (- x y))
40.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))
15.0ms	(/ (- z t) (* 60.0 (- x y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (53.0ms)

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

prune134.0ms

Filtered

84 candidates to 151 candidates (-79.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	152	6	158

Merged error: 0.0b

Counts

158 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (* (/ 1 60.0) (/ (- z t) (- x y)))) (* a 120.0))
0.0b	(/ (- z t) (- x y))
0.3b	(* (/ 1 60.0) (/ (- z t) (- x y)))
0.4b	(/ 1 (* (/ 1 60.0) (/ (- z t) (- x y))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
97×	`add-sqr-sqrt`
82×	`*-un-lft-identity`
69×	`times-frac`
51×	`div-exp`
36×	`add-cube-cbrt` `add-cbrt-cube`
32×	`prod-exp`
31×	`associate-r`
22×	`distribute-lft-out--` `difference-of-squares`
17×	`rec-exp` `1-exp`
14×	`cbrt-undiv`
13×	`associate-l`
9×	`pow1`
8×	`cbrt-unprod` `associate-/l*`
7×	`associate-/r/`
6×	`associate-/r*` `add-log-exp` `unswap-sqr`
4×	`div-inv`
3×	`flip3--` `flip--`
2×	`frac-times` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 192

Calls

4 calls:

17.0ms	(+ (/ 1 (* (/ 1 60.0) (/ (- z t) (- x y)))) (* a 120.0))
8.0ms	(/ (- z t) (- x y))
19.0ms	(* (/ 1 60.0) (/ (- z t) (- x y)))
13.0ms	(/ 1 (* (/ 1 60.0) (/ (- z t) (- x y))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (/ 1 (* (/ 1 60.0) (/ (- z t) (- x y)))) (* a 120.0))
12.0ms	(/ (- z t) (- x y))
18.0ms	(* (/ 1 60.0) (/ (- z t) (- x y)))
38.0ms	(/ 1 (* (/ 1 60.0) (/ (- z t) (- x y))))

simplify77.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	798	1455
1	3447	1213
2	5001	1210

prune153.0ms

Filtered

115 candidates to 204 candidates (-77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	203	7	210

Merged error: 0.0b

Counts

210 → 7

regimes904.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

analyze990.0ms

Algorithm: search

sample623.0ms

Algorithm

intervals

Results

317.0ms	7869×	body	80	valid
29.0ms	666×	body	80	invalid
7.0ms	39×	body	1280	valid
6.0ms	28×	body	2560	valid
4.0ms	32×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	14×	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

analyze972.0ms

sample23.0ms

simplify53.0ms

prune4.0ms

localize13.0ms

rewrite25.0ms

series50.0ms

simplify44.0ms

prune108.0ms

localize9.0ms

rewrite34.0ms

series60.0ms

simplify48.0ms

prune118.0ms

localize10.0ms

rewrite47.0ms

series91.0ms

simplify66.0ms

prune134.0ms

localize12.0ms

rewrite65.0ms

series101.0ms

simplify77.0ms

prune153.0ms

regimes904.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze990.0ms

sample623.0ms

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