Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

283×

body

valid

simplify157.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (8.0ms)

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

prune7.0ms

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: 1.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.5b	(fma y (/ (- z t) (- z a)) 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) (- z a))
1.0ms	(fma y (/ (- z t) (- z a)) x)

series155.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- z t) (- z a))
95.0ms	(fma y (/ (- z t) (- z a)) x)

simplify116.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (14.0ms)

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

prune155.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Merged error: 1.0b

Counts

71 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ z (- z a))
1.5b	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

819×	`*-un-lft-identity`
797×	`add-sqr-sqrt`
693×	`times-frac`
459×	`add-cube-cbrt`
441×	`prod-diff`
177×	`distribute-lft-out--`
167×	`difference-of-squares`
138×	`associate-/r*`
121×	`frac-sub`
94×	`associate-/r/`
72×	`associate-/l*`
48×	`flip3--` `flip--`
47×	`div-inv`
26×	`frac-2neg`
24×	`clear-num`
21×	`fma-neg`
13×	`sub-div`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `diff-log` `fma-udef`

Counts

4 → 713

Calls

4 calls:

6.0ms	(/ t (- z a))
48.0ms	(- (/ z (- z a)) (/ t (- z a)))
6.0ms	(/ z (- z a))
1.0ms	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

series356.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ t (- z a))
146.0ms	(- (/ z (- z a)) (/ t (- z a)))
53.0ms	(/ z (- z a))
122.0ms	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

simplify256.0ms

Algorithm

egg-herbie

Counts

725 → 725

Iterations

Useful iterations: 1 (89.0ms)

Iter	Nodes	Cost
0	2164	17562
1	5001	13777

prune8.8s

Filtered

725 candidates to 341 candidates (47.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	721	4	725
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	724	9	733

Merged error: 1.0b

Counts

733 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- z a))
0.0b	(/ 1 (- z a))
0.2b	(* t (/ 1 (- z a)))
1.5b	(fma y (- (/ z (- z a)) (* t (/ 1 (- z a)))) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
47×	`times-frac`
36×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-exp-log`
15×	`associate-/r*`
13×	`add-cbrt-cube`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-*r/`
10×	`associate-/l*`
7×	`pow1`
6×	`associate-/r/`
5×	`div-exp`
4×	`expm1-log1p-u` `prod-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `associate-l` `un-div-inv` `flip--` `div-inv` `unswap-sqr`
2×	`rec-exp` `1-exp` `cbrt-unprod`
1×	`pow-flip` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 150

Calls

4 calls:

6.0ms	(/ z (- z a))
6.0ms	(/ 1 (- z a))
13.0ms	(* t (/ 1 (- z a)))
1.0ms	(fma y (- (/ z (- z a)) (* t (/ 1 (- z a)))) x)

series256.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ z (- z a))
47.0ms	(/ 1 (- z a))
33.0ms	(* t (/ 1 (- z a)))
123.0ms	(fma y (- (/ z (- z a)) (* t (/ 1 (- z a)))) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	369	738
1	1435	656
2	5002	606

prune292.0ms

Filtered

162 candidates to 101 candidates (62.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	163	8	171

Merged error: 1.0b

Counts

171 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z a))
0.1b	(* z (/ 1 (- z a)))
0.2b	(* t (/ 1 (- z a)))
1.5b	(fma y (- (* z (/ 1 (- z a))) (* t (/ 1 (- z a)))) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
49×	`times-frac`
42×	`associate-r`
38×	`add-cube-cbrt`
26×	`add-exp-log`
22×	`associate-*r/`
16×	`add-cbrt-cube`
15×	`associate-/r*`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/l*`
9×	`pow1`
8×	`prod-exp`
6×	`div-exp` `associate-l` `associate-/r/` `un-div-inv` `unswap-sqr`
5×	`clear-num`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `flip3--` `frac-2neg` `1-exp` `flip--` `div-inv`
2×	`pow-prod-down` `*-commutative`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

4 → 169

Calls

4 calls:

8.0ms	(/ 1 (- z a))
12.0ms	(* z (/ 1 (- z a)))
12.0ms	(* t (/ 1 (- z a)))
1.0ms	(fma y (- (* z (/ 1 (- z a))) (* t (/ 1 (- z a)))) x)

series248.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ 1 (- z a))
57.0ms	(* z (/ 1 (- z a)))
35.0ms	(* t (/ 1 (- z a)))
113.0ms	(fma y (- (* z (/ 1 (- z a))) (* t (/ 1 (- z a)))) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	420	790
1	1808	675
2	5001	596

prune325.0ms

Filtered

181 candidates to 113 candidates (62.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	184	5	189

Merged error: 0.0b

Counts

189 → 5

regimes150.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	10	6

end0.0ms

sample547.0ms

Algorithm

intervals

Results

287.0ms	8680×	body	80	valid
0.0ms	1×	body	1280	valid