Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

280×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.5b	(fma y (/ (- z t) (- z a)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

9.0ms	(/ (- z t) (- z a))
1.0ms	(fma y (/ (- z t) (- z a)) x)

series133.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z t) (- z a))
84.0ms	(fma y (/ (- z t) (- z a)) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	258	433
1	702	410
2	2403	410
3	5001	410

prune137.0ms

Filtered

70 candidates to 51 candidates (27.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 0.3b

Counts

71 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
0.5b	(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-r`
20×	`associate-/r*`
16×	`add-exp-log`
14×	`flip3--` `flip--`
13×	`associate-/l*`
11×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`associate-l` `clear-num`
4×	`frac-2neg` `div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `un-div-inv` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow`

Counts

3 → 137

Calls

3 calls:

6.0ms	(/ 1 (- z a))
16.0ms	(* (- z t) (/ 1 (- z a)))
1.0ms	(fma y (* (- z t) (/ 1 (- z a))) x)

series173.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- z a))
54.0ms	(* (- z t) (/ 1 (- z a)))
80.0ms	(fma y (* (- z t) (/ 1 (- z a))) x)

simplify84.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	419	813
1	2023	728
2	5002	670

prune454.0ms

Filtered

146 candidates to 84 candidates (42.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	146	7	153

Merged error: 0.3b

Counts

153 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.5b	(fma y (/ 1 (/ (- z a) (- z t))) x)
0.6b	(/ 1 (/ (- z a) (- z t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
204×	`*-un-lft-identity`
201×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
55×	`distribute-lft-out--`
54×	`difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
16×	`add-exp-log`
15×	`associate-/l*`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`flip3--` `flip--`
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` `1-exp`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 231

Calls

3 calls:

9.0ms	(/ (- z a) (- z t))
1.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)
14.0ms	(/ 1 (/ (- z a) (- z t)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- z a) (- z t))
92.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)
107.0ms	(/ 1 (/ (- z a) (- z t)))

simplify104.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	644	1937
1	2858	1751
2	5002	1576

prune284.0ms

Filtered

240 candidates to 111 candidates (53.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	239	1	240
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	241	6	247

Merged error: 0.3b

Counts

247 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`div-sub`

Counts

2 → 212

Calls

2 calls:

12.0ms	(/ (- z a) (- z t))
15.0ms	(/ y (/ (- z a) (- z t)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- z a) (- z t))
130.0ms	(/ y (/ (- z a) (- z t)))

simplify111.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	659	1844
1	2960	1791
2	5001	1789

prune351.0ms

Filtered

218 candidates to 147 candidates (32.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	2	0	2
Picked	1	0	1
Done	1	2	3
Total	220	4	224

Merged error: 0b

Counts

224 → 4

regimes138.0ms

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	9	4

end0.0ms

sample533.0ms

Algorithm

intervals

Results

277.0ms	8751×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid