Details

sample14.0ms

Algorithm

intervals

Results

3.0ms	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

18.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (31.0ms)

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

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

10.0ms	(* b (- b a))
27.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
63.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
31.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* b (- b a))
49.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
90.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
79.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	843	1541
1	5002	1377

prune466.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

8.0ms	(+ (* 2 (* a b)) (pow b 2))
27.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* 2 (* a b)) (pow b 2))
23.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))

simplify138.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (24.0ms)

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

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

11.0ms

(* a (+ (* b 2) a))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* a (+ (* b 2) a))

simplify107.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	143	116
1	706	103
2	3536	102
3	5001	102

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes26.0ms

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	13	6
1	13	6

end0.0ms

sample328.0ms

Algorithm

intervals

Results

111.0ms	8000×	pre	80	true
96.0ms	8000×	body	80	valid