Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
3.0ms	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

prune1.0ms

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))

rewrite33.0ms

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:

32.0ms

(* (+ 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 (29.0ms)

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

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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:

18.0ms	(* b (+ a b))
13.0ms	(+ (* a (+ a b)) (* b (+ a b)))
18.0ms	(* a (+ a b))

series77.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* b (+ a b))
24.0ms	(+ (* a (+ a b)) (* b (+ a b)))
27.0ms	(* a (+ a b))

simplify55.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	349	386
1	1962	333
2	5002	331

prune122.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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))

rewrite69.0ms

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:

48.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
21.0ms	(+ (* 2 (* a b)) (pow b 2))

series72.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
48.0ms	(+ (* 2 (* a b)) (pow b 2))

simplify135.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (22.0ms)

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

prune75.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (* a b)) (pow b 2))
0.0b	(- (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
0.2b	(* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)))
0.5b	(/ (+ (pow a 4) (- (* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2))))) (- (pow a 2) (+ (* 2 (* a b)) (pow b 2))))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
32×	`times-frac`
24×	`difference-of-squares`
22×	`add-cube-cbrt`
11×	`pow1` `add-log-exp`
9×	`distribute-lft-out`
8×	`add-exp-log` `flip3-+` `associate-/r*` `add-cbrt-cube` `flip-+`
6×	`unpow-prod-down` `distribute-lft-out--` `unpow2` `sqr-pow`
4×	`frac-times` `associate-/l*`
3×	`div-sub` `swap-sqr` `associate-r` `associate-l`
2×	`flip3--` `diff-log` `associate-r/` `associate-l/` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `neg-sub0` `distribute-rgt-in` `associate-+r-` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `div-exp` `unsub-neg` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `associate--r+` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

18.0ms	(+ (* 2 (* a b)) (pow b 2))
49.0ms	(- (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
121.0ms	(* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)))
131.0ms	(/ (+ (pow a 4) (- (* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2))))) (- (pow a 2) (+ (* 2 (* a b)) (pow b 2))))

series175.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* 2 (* a b)) (pow b 2))
30.0ms	(- (pow a 2) (+ (* 2 (* a b)) (pow b 2)))
28.0ms	(* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2)))
72.0ms	(/ (+ (pow a 4) (- (* (+ (* 2 (* a b)) (pow b 2)) (+ (* 2 (* a b)) (pow b 2))))) (- (pow a 2) (+ (* 2 (* a b)) (pow b 2))))

simplify102.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	507	2690
1	2725	2475
2	5002	2434

prune331.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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

sample380.0ms

Algorithm

intervals

Results

108.0ms	8000×	pre	80	true
98.0ms	8000×	body	80	valid