Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify90.0ms

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

prune12.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.9b	(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:

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

series124.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ y (- z a))
92.0ms	(fma (/ y (- z a)) (- z t) x)

simplify124.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (118.0ms)

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

prune168.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.3b	(/ 1 (/ (- z a) y))
2.9b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite56.0ms

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:

14.0ms	(/ (- z a) y)
26.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series224.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (- z a) y)
86.0ms	(/ 1 (/ (- z a) y))
106.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (53.0ms)

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

prune246.0ms

Filtered

176 candidates to 93 candidates (52.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	173	3	176
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	178	5	183

Merged error: 0.0b

Counts

183 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- z t) (/ (- z a) y)) x)
0.0b	(/ (- z a) y)
9.8b	(/ (- z t) (/ (- z a) y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
314×	`*-un-lft-identity`
312×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
112×	`fma-def`
78×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
26×	`associate-/r/`
20×	`associate-/l*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 318

Calls

3 calls:

53.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
7.0ms	(/ (- z a) y)
14.0ms	(/ (- z t) (/ (- z a) y))

series251.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
30.0ms	(/ (- z a) y)
119.0ms	(/ (- z t) (/ (- z a) y))

simplify96.0ms

Algorithm

egg-herbie

Counts

327 → 327

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	837	1795
1	3140	1738
2	5001	1738

prune596.0ms

Filtered

327 candidates to 228 candidates (69.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	325	2	327
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	327	5	332

Merged error: 0b

Counts

332 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.5b	(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
323×	`add-sqr-sqrt` `*-un-lft-identity`
300×	`cbrt-prod`
203×	`add-cube-cbrt`
60×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
16×	`associate-/r/` `associate-/l*`
15×	`add-cbrt-cube`
10×	`cbrt-undiv` `cbrt-div` `div-inv`
9×	`add-exp-log`
5×	`flip3--` `flip--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`pow1/3` `div-exp`
2×	`frac-2neg` `clear-num`

Counts

4 → 349

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
24.0ms	(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

series860.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (- z t))
181.0ms	(cbrt (- z t))
177.0ms	(cbrt (- z t))
322.0ms	(/ (cbrt (- z t)) (/ (cbrt (- z a)) y))

simplify163.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	1038	4702
1	4255	4568
2	5002	4388

prune966.0ms

Filtered

361 candidates to 230 candidates (63.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	361	5	366

Merged error: 0b

Counts

366 → 5

regimes150.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms

sample559.0ms

Algorithm

intervals

Results

289.0ms	8679×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid