Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

289×

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

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: 10.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.0b	(/ (* y (- z t)) (- z a))

rewrite18.0ms

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:

7.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series99.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (- z t))
65.0ms	(/ (* y (- z t)) (- z a))

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

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

prune115.0ms

Filtered

61 candidates to 40 candidates (65.6%)

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))
1.6b	(/ y (/ (- z a) (- z t)))

rewrite36.0ms

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:

8.0ms	(/ (- z a) (- z t))
16.0ms	(/ y (/ (- z a) (- z t)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z a) (- z t))
110.0ms	(/ 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

prune386.0ms

Filtered

200 candidates to 132 candidates (66.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	200	5	205

Merged error: 0b

Counts

205 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (/ (- z a) (- z t)) y))
1.4b	(/ (/ (- z a) (- z t)) y)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
793×	`add-sqr-sqrt` `*-un-lft-identity`
449×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
31×	`add-exp-log`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 611

Calls

3 calls:

8.0ms	(/ (- z a) (- z t))
25.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
13.0ms	(/ (/ (- z a) (- z t)) y)

series359.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- z a) (- z t))
235.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
79.0ms	(/ (/ (- z a) (- z t)) y)

simplify272.0ms

Algorithm

egg-herbie

Counts

620 → 620

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1757	7379
1	5001	6707

prune1.1s

Filtered

620 candidates to 343 candidates (55.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	620	0	620
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	620	5	625

Merged error: 0b

Counts

625 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite29.0ms

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:

11.0ms	(/ (- z t) (- z a))
14.0ms	(* y (/ (- z t) (- z a)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- z a))
59.0ms	(* y (/ (- z t) (- z a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

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

prune173.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Merged error: 0b

Counts

113 → 5

regimes111.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample542.0ms

Algorithm

intervals

Results

275.0ms	8712×	body	80	valid
0.0ms	1×	body	1280	valid