Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

267×

body

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5002	8

prune3.0ms

Filtered

1 candidates to 0 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: 23.7b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
1.5b	(+ (* x y) (* z (- t a)))
22.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity`
44×	`distribute-lft-out`
42×	`associate-l`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
8×	`pow1`
7×	`associate-/l*`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
5×	`associate-/r*`
4×	`associate-+r+` `associate-*r/`
3×	`flip3-+` `flip-+`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 134

Calls

4 calls:

6.0ms	(* z (- b y))
6.0ms	(* z (- t a))
15.0ms	(+ (* x y) (* z (- t a)))
29.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series456.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (- b y))
40.0ms	(* z (- t a))
42.0ms	(+ (* x y) (* z (- t a)))
338.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	389	1082
1	1719	1027
2	5001	1027

prune227.0ms

Filtered

146 candidates to 74 candidates (49.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	136	10	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	10	147

Merged error: 23.1b

Counts

147 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(+ (* x y) (* t z))
2.2b	(+ (+ (* x y) (* t z)) (* (- a) z))
22.9b	(/ (+ (+ (* x y) (* t z)) (* (- a) z)) (+ y (* z (- b y))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

411×	`*-un-lft-identity`
231×	`distribute-lft-out`
180×	`associate-l`
90×	`times-frac`
35×	`add-sqr-sqrt` `distribute-rgt-neg-in`
31×	`add-cube-cbrt`
18×	`associate-/l*`
11×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-r` `associate-/r*`
4×	`distribute-lft-neg-out` `flip3-+` `sum-log` `flip-+`
3×	`+-commutative`
2×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `div-sub` `associate-*r/` `unsub-neg` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 203

Calls

4 calls:

6.0ms	(* z (- b y))
12.0ms	(+ (* x y) (* t z))
25.0ms	(+ (+ (* x y) (* t z)) (* (- a) z))
35.0ms	(/ (+ (+ (* x y) (* t z)) (* (- a) z)) (+ y (* z (- b y))))

series424.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (- b y))
40.0ms	(+ (* x y) (* t z))
42.0ms	(+ (+ (* x y) (* t z)) (* (- a) z))
305.0ms	(/ (+ (+ (* x y) (* t z)) (* (- a) z)) (+ y (* z (- b y))))

simplify78.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	392	2197
1	1775	2047
2	5001	2027

prune222.0ms

Filtered

215 candidates to 72 candidates (66.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	208	7	215
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	215	10	225

Merged error: 23.1b

Counts

225 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* x y) (* t z))
0.7b	(/ 1 (+ y (* z (- b y))))
2.2b	(+ (+ (* x y) (* t z)) (* (- a) z))
22.5b	(* (+ (+ (* x y) (* t z)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

164×	`*-un-lft-identity`
78×	`distribute-lft-out`
76×	`associate-l`
37×	`add-sqr-sqrt`
32×	`times-frac`
30×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-r`
20×	`associate-/r*`
17×	`add-exp-log`
16×	`flip3-+` `flip-+`
13×	`associate-/l*`
11×	`associate-*r/` `add-cbrt-cube` `add-log-exp`
10×	`distribute-rgt-neg-in`
7×	`pow1`
5×	`clear-num`
4×	`frac-2neg` `div-exp` `prod-exp` `sum-log` `associate-/r/`
3×	`+-commutative` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `distribute-lft-neg-out` `rec-exp` `associate-+l+` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `unsub-neg` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 182

Calls

4 calls:

12.0ms	(+ (* x y) (* t z))
10.0ms	(/ 1 (+ y (* z (- b y))))
26.0ms	(+ (+ (* x y) (* t z)) (* (- a) z))
42.0ms	(* (+ (+ (* x y) (* t z)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

series677.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x y) (* t z))
88.0ms	(/ 1 (+ y (* z (- b y))))
42.0ms	(+ (+ (* x y) (* t z)) (* (- a) z))
508.0ms	(* (+ (+ (* x y) (* t z)) (* (- a) z)) (/ 1 (+ y (* z (- b y)))))

simplify108.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	502	2009
1	2772	1834
2	5001	1775

prune275.0ms

Filtered

194 candidates to 90 candidates (53.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	193	11	204

Merged error: 23.1b

Counts

204 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ t (- a)))
0.5b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (+ t (- a))))))
1.5b	(+ (* x y) (* z (+ t (- a))))
22.8b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (+ t (- a)))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

497×	`*-un-lft-identity`
298×	`times-frac`
190×	`distribute-lft-out`
153×	`associate-l`
118×	`add-sqr-sqrt`
116×	`add-cube-cbrt`
55×	`associate-/r*`
27×	`associate-/r/`
19×	`add-exp-log`
16×	`associate-/l*`
13×	`add-cbrt-cube`
9×	`flip3-+` `flip-+`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `add-log-exp`
5×	`+-commutative` `associate-r`
4×	`cbrt-undiv` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `clear-num` `associate-/l/` `remove-double-div`
3×	`frac-2neg`
2×	`rec-exp` `1-exp` `associate-*r/`
1×	`pow-flip` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 316

Calls

4 calls:

7.0ms	(* z (+ t (- a)))
33.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (+ t (- a))))))
19.0ms	(+ (* x y) (* z (+ t (- a))))
27.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (+ t (- a)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (+ t (- a)))
866.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (+ t (- a))))))
44.0ms	(+ (* x y) (* z (+ t (- a))))
278.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (+ t (- a)))))

simplify126.0ms

Algorithm

egg-herbie

Counts

328 → 328

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	614	4111
1	2885	3680
2	5001	3437

prune313.0ms

Filtered

328 candidates to 115 candidates (64.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	325	3	328
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	329	10	339

Merged error: 23.1b

Counts

339 → 10

regimes343.0ms

Accuracy

0% (0.7b remaining)

Error of 23.0b against oracle of 22.3b and baseline of 23.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	34	11
2	35	11
3	35	11

end0.0ms

sample638.0ms

Algorithm

intervals

Results

347.0ms

8394×

body

valid