Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (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: 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))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (35.0ms)

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

prune37.0ms

Filtered

43 candidates to 19 candidates (55.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 2) (* b (- b a)))
0.2b	(* (- a b) (+ (pow a 2) (* b (- b a))))
0.3b	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
0.4b	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
16×	`frac-times`
14×	`add-sqr-sqrt`
13×	`flip3-+` `flip-+`
12×	`flip3--` `associate-r` `flip--`
9×	`associate-l`
8×	`pow1` `add-cube-cbrt` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-lft-out`
4×	`cbrt-undiv` `distribute-rgt-in` `unpow-prod-down` `associate-+r+` `distribute-lft-in` `cube-prod` `div-exp`
2×	`sub-neg` `pow-prod-down` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-log` `sum-cubes` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 117

Calls

4 calls:

5.0ms	(+ (pow a 2) (* b (- b a)))
9.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
25.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
20.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (pow a 2) (* b (- b a)))
13.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
17.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
16.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

simplify44.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	794	1555
1	5001	1317

prune244.0ms

Filtered

129 candidates to 93 candidates (27.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	129	2	131

Merged error: 0b

Counts

131 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
0.0b	(+ (* 2 (* a b)) (pow b 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

12.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
6.0ms	(+ (* 2 (* a b)) (pow b 2))

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
8.0ms	(+ (* 2 (* a b)) (pow b 2))

simplify147.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	163	237
1	744	220
2	3894	212
3	5001	212

prune46.0ms

Filtered

31 candidates to 22 candidates (29.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Merged error: 0b

Counts

33 → 2

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample469.0ms

Algorithm

intervals

Results

168.0ms	8000×	pre	80	true
121.0ms	8000×	body	80	valid

Details

sample17.0ms

simplify20.0ms

prune2.0ms

localize3.0ms

rewrite9.0ms

series4.0ms

simplify40.0ms

prune37.0ms

localize20.0ms

rewrite63.0ms

series51.0ms

simplify44.0ms

prune244.0ms

localize9.0ms

rewrite19.0ms

series14.0ms

simplify147.0ms

prune46.0ms

regimes64.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample469.0ms

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