Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
7.0ms	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))

rewrite17.0ms

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:

16.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

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

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

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:

7.0ms	(+ (pow a 2) (* b (- b a)))
25.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
29.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
55.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (pow a 2) (* b (- b a)))
52.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
82.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))
96.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))

simplify38.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	794	1555
1	5001	1317

prune588.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 187

Calls

4 calls:

7.0ms	(+ (pow a 2) (* b (- b a)))
38.0ms	(/ (- (* a a) (* b b)) (/ (* (- a b) (+ (pow a 2) (* b (- b a)))) (+ (pow a 3) (pow b 3))))
38.0ms	(/ (* (- a b) (+ (pow a 2) (* b (- b a)))) (+ (pow a 3) (pow b 3)))
26.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (pow a 2) (* b (- b a)))
77.0ms	(/ (- (* a a) (* b b)) (/ (* (- a b) (+ (pow a 2) (* b (- b a)))) (+ (pow a 3) (pow b 3))))
110.0ms	(/ (* (- a b) (+ (pow a 2) (* b (- b a)))) (+ (pow a 3) (pow b 3)))
50.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))

simplify51.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	931	2997
1	5002	2741

prune551.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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

sample605.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
232.0ms	8000×	pre	80	true