Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify14.0ms

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))

rewrite22.0ms

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:

21.0ms

(* (+ 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

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

9.0ms	(* a (+ a b))
6.0ms	(+ (* a (+ a b)) (* b (+ a b)))
10.0ms	(* b (+ a b))

series79.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* a (+ a b))
23.0ms	(+ (* a (+ a b)) (* b (+ a b)))
29.0ms	(* b (+ a b))

simplify59.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	349	386
1	1969	333
2	5003	331

prune133.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a a) (* b b))
0.3b	(* (- 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)))))
0.3b	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

rewrite125.0ms

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` `unpow-prod-down` `cube-prod` `div-exp`
3×	`difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l` `distribute-lft-out--`

Counts

4 → 115

Calls

4 calls:

3.0ms	(- (* a a) (* b b))
26.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
31.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
61.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* a a) (* b b))
48.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
79.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
92.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

simplify38.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	792	1528
1	5001	1293

prune425.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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	10	5
1	10	5

end0.0ms

sample557.0ms

Algorithm

intervals

Results

243.0ms	8000×	pre	80	true
178.0ms	8000×	body	80	valid