Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	282×	body	80	valid
0.0ms	1×	body	640	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.8b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.7b	(fma y (/ (- z t) (- a t)) x)

rewrite13.0ms

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

series133.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- z t) (- a t))
78.0ms	(fma y (/ (- z t) (- a t)) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410

prune195.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Merged error: 0.5b

Counts

71 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.7b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `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×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
13.0ms	(/ 1 (/ (- a t) (- z t)))
1.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series394.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- a t) (- z t))
144.0ms	(/ 1 (/ (- a t) (- z t)))
194.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify85.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	620	1891
1	2762	1708
2	5002	1537

prune373.0ms

Filtered

223 candidates to 108 candidates (48.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	223	6	229

Merged error: 0.3b

Counts

229 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- a t) (- z t))) x)
0.1b	(/ (- a t) (- z t))
2.2b	(/ y (/ (- a t) (- z t)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

38.0ms	(+ (/ y (/ (- a t) (- z t))) x)
13.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series432.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms	(+ (/ y (/ (- a t) (- z t))) x)
53.0ms	(/ (- a t) (- z t))
159.0ms	(/ y (/ (- a t) (- z t)))

simplify95.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	711	1921
1	3085	1862
2	5001	1858

prune797.0ms

Filtered

319 candidates to 223 candidates (69.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	317	2	319
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	321	4	325

Merged error: 0b

Counts

325 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.0b	(fma (/ y (- a t)) (- z t) x)

rewrite13.0ms

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:

10.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series219.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
189.0ms	(fma (/ y (- a t)) (- z t) x)

simplify113.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243

prune132.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Merged error: 0b

Counts

59 → 4

regimes145.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample601.0ms

Algorithm

intervals

Results

330.0ms	8709×	body	80	valid
0.0ms	2×	body	640	valid