Details

sample33.0ms

Algorithm

intervals

Results

10.0ms

278×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 12.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
12.5b	(/ (* y (- z t)) (- z a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `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/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

6.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) (- z a))

series24.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- z a))

simplify37.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	267	276
1	1217	239
2	5001	239

prune77.0ms

Filtered

61 candidates to 40 candidates (34.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Merged error: 0.0b

Counts

62 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.4b	(/ y (/ (- z a) (- z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 194

Calls

2 calls:

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

series33.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (- z a) (- z t))
24.0ms	(/ y (/ (- z a) (- z t)))

simplify72.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	630	1780
1	2843	1729
2	5003	1726

prune153.0ms

Filtered

200 candidates to 132 candidates (34.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	201	4	205

Merged error: 0b

Counts

205 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

7.2b	(/ (/ y (- z a)) (/ 1 (- z t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

1101×	`times-frac`
661×	`add-sqr-sqrt` `*-un-lft-identity`
397×	`add-cube-cbrt`
132×	`distribute-lft-out--` `difference-of-squares`
89×	`associate-/r/`
45×	`div-inv`
44×	`flip3--` `flip--`
23×	`add-exp-log`
21×	`associate-/r` `associate-/l`
16×	`div-exp`
13×	`add-cbrt-cube`
8×	`cbrt-undiv`
2×	`rec-exp` `1-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 507

Calls

1 calls:

21.0ms

(/ (/ y (- z a)) (/ 1 (- z t)))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (/ y (- z a)) (/ 1 (- z t)))

simplify115.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2210	7188
1	5001	6667

prune554.0ms

Filtered

510 candidates to 247 candidates (51.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	510	0	510
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	510	4	514

Merged error: 0b

Counts

514 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.4b	(* y (/ (- z t) (- z a)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

8.0ms	(/ (- z t) (- z a))
14.0ms	(* y (/ (- z t) (- z a)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (- z t) (- z a))
16.0ms	(* y (/ (- z t) (- z a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune76.0ms

Filtered

108 candidates to 70 candidates (35.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

regimes307.0ms

Accuracy

0% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample769.0ms

Algorithm

intervals

Results

314.0ms	8721×	body	80	valid
0.0ms	1×	body	1280	valid

Details

sample33.0ms

simplify52.0ms

prune4.0ms

localize8.0ms

rewrite16.0ms

series24.0ms

simplify37.0ms

prune77.0ms

localize8.0ms

rewrite32.0ms

series33.0ms

simplify72.0ms

prune153.0ms

localize9.0ms

rewrite73.0ms

series21.0ms

simplify115.0ms

prune554.0ms

localize11.0ms

rewrite27.0ms

series24.0ms

simplify44.0ms

prune76.0ms

regimes307.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample769.0ms

Profiling