Details

sample44.0ms

Algorithm

intervals

Results

19.0ms	275×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite31.0ms

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))
14.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series199.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 60.0 (- x y))
116.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
56.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune157.0ms

Filtered

75 candidates to 52 candidates (69.3%)

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))
0.2b	(* 60.0 (/ (- x y) (- z t)))

rewrite38.0ms

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:

10.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
8.0ms	(/ (- x y) (- z t))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
57.0ms	(/ (- x y) (- z t))
61.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (13.0ms)

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

prune240.0ms

Filtered

122 candidates to 82 candidates (67.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Merged error: 0.0b

Counts

129 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

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

28.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
8.0ms	(/ (- z t) (- x y))
13.0ms	(/ 60.0 (/ (- z t) (- x y)))

series461.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
47.0ms	(/ (- z t) (- x y))
271.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (63.0ms)

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

prune436.0ms

Filtered

214 candidates to 145 candidates (67.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	214	7	221

Merged error: 0.0b

Counts

221 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite189.0ms

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:

6.0ms	(/ 60.0 (- z t))
104.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
6.0ms	(/ 1 (- x y))
22.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 60.0 (- z t))
141.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
33.0ms	(/ 1 (- x y))
259.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify120.0ms

Algorithm

egg-herbie

Counts

608 → 608

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2343	7712
1	5003	7154

prune1.1s

Filtered

608 candidates to 311 candidates (51.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	608	0	608
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	608	7	615

Merged error: 0.0b

Counts

615 → 7

regimes482.0ms

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

sample628.0ms

Algorithm

intervals

Results

348.0ms	8581×	body	80	valid
8.0ms	43×	body	1280	valid
5.0ms	31×	body	640	valid
4.0ms	20×	body	2560	valid
2.0ms	15×	body	320	valid
1.0ms	9×	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

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