Details

analyze858.0ms

Algorithm: search

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	77×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

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: 8.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
8.5b	(/ (* y (- z t)) a)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(* y (- z t))
6.0ms	(/ (* y (- z t)) a)

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) a)

simplify32.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	231	226
1	1033	189
2	5002	189

prune76.0ms

Filtered

35 candidates to 55 candidates (-57.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (- z t))
4.3b	(/ y (/ a (- z t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ a (- z t))
8.0ms	(/ y (/ a (- z t)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ a (- z t))
12.0ms	(/ y (/ a (- z t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	481	1051
1	2190	1013
2	5002	1004

prune138.0ms

Filtered

107 candidates to 145 candidates (-35.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	144	7	151

Merged error: 0b

Counts

151 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ y a) (- z t))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 42

Calls

1 calls:

8.0ms

(* (/ y a) (- z t))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(* (/ y a) (- z t))

simplify83.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	253	228
1	991	200
2	4155	200
3	5001	200

prune56.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	45	7	52

Merged error: 0b

Counts

52 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z t))
7.0b	(/ (/ y a) (/ 1 (- z t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
384×	`add-sqr-sqrt` `*-un-lft-identity`
292×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
28×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
16×	`add-cbrt-cube` `associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

2 → 372

Calls

2 calls:

6.0ms	(/ 1 (- z t))
17.0ms	(/ (/ y a) (/ 1 (- z t)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ 1 (- z t))
12.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1645	4157
1	5001	3755

prune279.0ms

Filtered

203 candidates to 378 candidates (-86.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	377	1	378
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	378	7	385

Merged error: 0b

Counts

385 → 7

regimes560.0ms

Accuracy

46.1% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	18
1	31	18

end0.0ms

analyze1.1s

Algorithm: search

sample683.0ms

Algorithm

intervals

Results

281.0ms	8000×	body	80	valid
87.0ms	2627×	body	80	invalid

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4

Details

analyze858.0ms

sample30.0ms

simplify40.0ms

prune4.0ms

localize7.0ms

rewrite13.0ms

series18.0ms

simplify32.0ms

prune76.0ms

localize7.0ms

rewrite20.0ms

series19.0ms

simplify59.0ms

prune138.0ms

localize7.0ms

rewrite10.0ms

series12.0ms

simplify83.0ms

prune56.0ms

localize8.0ms

rewrite48.0ms

series16.0ms

simplify79.0ms

prune279.0ms

regimes560.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample683.0ms

Profiling

Iter	Nodes	Cost
0	15	4
1	26	4
2	46	4
3	85	4
4	127	4
5	148	4
6	165	4
7	215	4
8	303	4
9	389	4
10	602	4
11	712	4
12	791	4
13	791	4