Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

280×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (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: 9.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.0b	(/ (* y (- z t)) (- z a))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
70×	`times-frac`
37×	`add-cube-cbrt`
35×	`associate-r`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-l`
14×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`*-commutative` `unswap-sqr`
5×	`associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `flip--`
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` `div-inv`

Counts

2 → 133

Calls

2 calls:

6.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) (- z a))

series107.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* y (- z t))
70.0ms	(/ (* y (- z t)) (- z a))

simplify76.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	502	987
1	2101	950
2	5003	950

prune212.0ms

Filtered

139 candidates to 89 candidates (36.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	4	140

Merged error: 0b

Counts

140 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.0b	(* y (/ (- z t) (- z a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
25×	`distribute-lft-out--`
24×	`difference-of-squares`
15×	`associate-*r/`
12×	`associate-/l*`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`associate-l` `clear-num` `un-div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative`

Counts

2 → 119

Calls

2 calls:

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

series119.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- z t) (- z a))
73.0ms	(* y (/ (- z t) (- z a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	390	694
1	1590	653
2	5001	653

prune187.0ms

Filtered

125 candidates to 80 candidates (36.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	125	4	129

Merged error: 0b

Counts

129 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
1.3b	(/ y (/ (- z a) (- z t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
200×	`add-sqr-sqrt` `*-un-lft-identity`
92×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`pow1` `add-log-exp`
1×	`div-sub`

Counts

2 → 208

Calls

2 calls:

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

series173.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- z a) (- z t))
122.0ms	(/ y (/ (- z a) (- z t)))

simplify101.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	649	1827
1	2934	1776
2	5002	1773

prune358.0ms

Filtered

214 candidates to 141 candidates (34.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	214	4	218

Merged error: 0b

Counts

218 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.6b	(/ 1 (/ (- z a) (- z t)))
1.0b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
379×	`add-sqr-sqrt`
371×	`*-un-lft-identity`
173×	`add-cube-cbrt`
112×	`associate-r`
97×	`distribute-lft-out--`
96×	`difference-of-squares`
77×	`associate-/r*`
48×	`associate-/r/`
37×	`associate-*r/`
35×	`add-exp-log`
24×	`associate-/l*`
19×	`add-cbrt-cube`
15×	`div-exp`
12×	`flip3--` `flip--`
11×	`div-inv`
7×	`cbrt-undiv` `prod-exp` `clear-num`
6×	`pow1` `associate-/l/`
5×	`frac-2neg` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `un-div-inv` `cbrt-unprod` `remove-double-div` `add-log-exp`
1×	`pow-flip` `div-sub` `pow-prod-down` `*-commutative` `inv-pow`

Counts

3 → 396

Calls

3 calls:

8.0ms	(/ (- z a) (- z t))
14.0ms	(/ 1 (/ (- z a) (- z t)))
42.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series284.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- z a) (- z t))
102.0ms	(/ 1 (/ (- z a) (- z t)))
131.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify140.0ms

Algorithm

egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	938	2978
1	4753	2688
2	5001	2398

prune527.0ms

Filtered

405 candidates to 210 candidates (48.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	405	0	405
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	405	4	409

Merged error: 0b

Counts

409 → 4

regimes105.0ms

Accuracy

0% (1.2b 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	12	5
1	12	5

end0.0ms

sample537.0ms

Algorithm

intervals

Results

271.0ms	8750×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid