Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

285×

body

valid

simplify83.0ms

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

prune8.0ms

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: 0.0b

Counts

2 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.6b	(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)

series116.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- z a))
86.0ms	(fma (/ y (- z a)) (- z t) x)

simplify115.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (110.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244

prune168.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	1	1
Picked	0	1	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)
0.9b	(/ 1 (/ (- z a) y))
2.6b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

6.0ms	(/ (- z a) y)
8.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series203.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- z a) y)
78.0ms	(/ 1 (/ (- z a) y))
96.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	466	1074
1	1946	948
2	5001	842

prune354.0ms

Filtered

161 candidates to 86 candidates (53.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	163	4	167

Merged error: 0b

Counts

167 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.0b	(+ (/ (- z t) (/ (- z a) y)) x)
11.8b	(/ (- z t) (/ (- z a) y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
306×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 294

Calls

3 calls:

6.0ms	(/ (- z a) y)
42.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
12.0ms	(/ (- z t) (/ (- z a) y))

series236.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- z a) y)
97.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
106.0ms	(/ (- z t) (/ (- z a) y))

simplify89.0ms

Algorithm

egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	793	1747
1	3017	1690
2	5001	1690

prune1.0s

Filtered

303 candidates to 209 candidates (69.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	303	0	303
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	303	4	307

Merged error: 0b

Counts

307 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.3b	(/ (/ 1 (- z a)) (/ 1 y))
2.6b	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 394

Calls

3 calls:

6.0ms	(/ 1 (- z a))
21.0ms	(/ (/ 1 (- z a)) (/ 1 y))
1.0ms	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

series224.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- z a))
81.0ms	(/ (/ 1 (- z a)) (/ 1 y))
105.0ms	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

403 → 403

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1628	4216
1	5002	3592

prune760.0ms

Filtered

403 candidates to 174 candidates (43.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	403	0	403
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	403	4	407

Merged error: 0b

Counts

407 → 4

regimes221.0ms

Accuracy

88.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	22
1	24	22

end0.0ms

sample556.0ms

Algorithm

intervals

Results

281.0ms	8705×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid