Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

(* (+ a b) (+ a b))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ a b) (+ a b))

simplify35.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	189	213
1	902	188
2	5001	170

prune258.0ms

Filtered

43 candidates to 19 candidates (44.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a a) (* b b))
0.0b	(* (- a b) (- a b))
0.5b	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
0.5b	(* (- (* a a) (* b b)) (- (* a a) (* b b)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
25×	`flip3--` `flip--`
24×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`frac-times`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-r` `associate-l` `difference-of-squares`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg`
4×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 135

Calls

4 calls:

3.0ms	(- (* a a) (* b b))
12.0ms	(* (- a b) (- a b))
17.0ms	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
11.0ms	(* (- (* a a) (* b b)) (- (* a a) (* b b)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* a a) (* b b))
17.0ms	(* (- a b) (- a b))
44.0ms	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
41.0ms	(* (- (* a a) (* b b)) (- (* a a) (* b b)))

simplify120.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	536	1348
1	3410	1077
2	5003	1052

prune189.0ms

Filtered

147 candidates to 87 candidates (59.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	147	3	150

Merged error: 0b

Counts

150 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b (- b a)) (pow a 2))
0.3b	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
0.5b	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
0.5b	(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
46×	`distribute-lft-out`
40×	`unpow-prod-down` `cube-prod`
25×	`flip3-+` `flip-+`
23×	`swap-sqr`
20×	`add-exp-log` `add-cbrt-cube`
16×	`frac-times`
14×	`add-sqr-sqrt`
13×	`pow1`
12×	`associate-r` `associate-l`
10×	`add-cube-cbrt`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-exp` `sum-cubes`
2×	`sub-neg` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`+-commutative` `pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `sum-log` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

4 → 147

Calls

4 calls:

8.0ms	(+ (* b (- b a)) (pow a 2))
38.0ms	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
24.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
13.0ms	(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* b (- b a)) (pow a 2))
56.0ms	(/ (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a)))))
65.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
53.0ms	(* (+ (* b (- b a)) (pow a 2)) (+ (pow a 2) (* b (- b a))))

simplify138.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	735	2051
1	4457	1691
2	5001	1620

prune311.0ms

Filtered

159 candidates to 92 candidates (57.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Merged error: 0b

Counts

162 → 3

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	5	3

end0.0ms

sample389.0ms

Algorithm

intervals

Results

156.0ms	8000×	pre	80	true
112.0ms	8000×	body	80	valid

Details

sample17.0ms

simplify15.0ms

prune2.0ms

localize3.0ms

rewrite9.0ms

series15.0ms

simplify35.0ms

prune258.0ms

localize9.0ms

rewrite48.0ms

series133.0ms

simplify120.0ms

prune189.0ms

localize17.0ms

rewrite89.0ms

series196.0ms

simplify138.0ms

prune311.0ms

regimes60.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample389.0ms

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