Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

280×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune10.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.9b	(fma (/ y (- z a)) (- z t) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series123.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ y (- z a))
90.0ms	(fma (/ y (- z a)) (- z t) x)

simplify150.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (144.0ms)

Iter	Nodes	Cost
0	168	266
1	461	247
2	1314	247
3	4466	246
4	5001	244

prune110.0ms

Filtered

55 candidates to 43 candidates (21.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.8b	(/ 1 (/ (- z a) y))
3.9b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
108×	`*-un-lft-identity`
105×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
25×	`associate-/r*`
18×	`distribute-lft-out--`
17×	`difference-of-squares`
16×	`add-exp-log`
15×	`associate-/l*`
13×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `clear-num` `associate-/l/`
3×	`expm1-log1p-u` `frac-2neg` `log1p-expm1-u` `remove-double-div` `add-log-exp`
2×	`rec-exp` `flip3--` `1-exp` `flip--`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 167

Calls

3 calls:

7.0ms	(/ (- z a) y)
14.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series213.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (- z a) y)
82.0ms	(/ 1 (/ (- z a) y))
101.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	493	1110
1	2027	982
2	5001	866

prune231.0ms

Filtered

176 candidates to 93 candidates (47.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	176	6	182

Merged error: 0.0b

Counts

182 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.9b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series121.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ y (- z a))
89.0ms	(fma (/ y (- z a)) (- z t) x)

simplify147.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (142.0ms)

Iter	Nodes	Cost
0	168	266
1	461	247
2	1314	247
3	4466	246
4	5001	244

prune102.0ms

Filtered

55 candidates to 40 candidates (27.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Merged error: 0.0b

Counts

61 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(/ (/ 1 (- z a)) (/ 1 y))
3.9b	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
391×	`add-sqr-sqrt` `*-un-lft-identity`
297×	`add-cube-cbrt`
47×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
39×	`associate-/r/`
38×	`div-inv`
34×	`div-exp`
30×	`associate-/l*`
26×	`associate-/r*`
17×	`add-cbrt-cube`
15×	`flip3--` `flip--`
11×	`associate-/l/`
9×	`cbrt-undiv` `rec-exp` `1-exp`
4×	`pow1` `frac-2neg` `clear-num`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

3 → 412

Calls

3 calls:

6.0ms	(/ 1 (- z a))
22.0ms	(/ (/ 1 (- z a)) (/ 1 y))
1.0ms	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

series228.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (- z a))
81.0ms	(/ (/ 1 (- z a)) (/ 1 y))
104.0ms	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

simplify98.0ms

Algorithm

egg-herbie

Counts

421 → 421

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	1662	4285
1	5001	3653

prune510.0ms

Filtered

421 candidates to 182 candidates (56.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	421	0	421
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	421	6	427

Merged error: 0.0b

Counts

427 → 6

regimes259.0ms

Accuracy

93.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

end0.0ms

sample533.0ms

Algorithm

intervals

Results

277.0ms	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