Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	276×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

simplify57.0ms

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: 0.7b

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))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite33.0ms

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:

8.0ms	(* 60.0 (- x y))
13.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series237.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 60.0 (- x y))
128.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
80.0ms	(/ (* 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

prune175.0ms

Filtered

75 candidates to 52 candidates (69.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize10.0ms

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))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite62.0ms

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:

8.0ms	(/ (- z t) (- x y))
31.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series464.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- z t) (- x y))
144.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
268.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (65.0ms)

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

prune430.0ms

Filtered

214 candidates to 145 candidates (67.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	215	8	223

Merged error: 0.0b

Counts

223 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

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:

8.0ms	(/ 60.0 (- z t))
5.0ms	(/ 1 (- x y))
93.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
21.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 60.0 (- z t))
37.0ms	(/ 1 (- x y))
162.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
273.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify124.0ms

Algorithm

egg-herbie

Counts

608 → 608

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2343	7712
1	5002	7156

prune1.2s

Filtered

608 candidates to 311 candidates (51.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	608	0	608
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	608	8	616

Merged error: 0.0b

Counts

616 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(/ 1 (- z t))
0.0b	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
0.8b	(* (* 60.0 (- x y)) (/ 1 (- z t)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

6.0ms	(* 60.0 (- x y))
5.0ms	(/ 1 (- z t))
12.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
13.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 60.0 (- x y))
33.0ms	(/ 1 (- z t))
121.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
57.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	526	779
1	2746	674
2	5002	631

prune215.0ms

Filtered

140 candidates to 79 candidates (56.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	140	8	148

Merged error: 0.0b

Counts

148 → 8

regimes434.0ms

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	15	6
1	15	6

end0.0ms

sample657.0ms

Algorithm

intervals

Results

356.0ms	8487×	body	80	valid
9.0ms	47×	body	1280	valid
6.0ms	39×	body	640	valid
6.0ms	25×	body	2560	valid
3.0ms	22×	body	320	valid
1.0ms	8×	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

sample25.0ms

simplify57.0ms

prune2.0ms

localize9.0ms

rewrite33.0ms

series237.0ms

simplify46.0ms

prune175.0ms

localize10.0ms

rewrite62.0ms

series464.0ms

simplify92.0ms

prune430.0ms

localize14.0ms

rewrite169.0ms

series514.0ms

simplify124.0ms

prune1.2s

localize11.0ms

rewrite44.0ms

series240.0ms

simplify74.0ms

prune215.0ms

regimes434.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample657.0ms

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