Details

sample11.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	25	3
2	39	3
3	70	3
4	181	3
5	682	3
6	2463	3
7	5001	3

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x x) x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `associate-r`
4×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

6.0ms

(* x (+ (* x x) x))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* x (+ (* x x) x))

simplify108.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	129	117
1	713	102
2	3504	100
3	5002	99

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (pow x 3) (pow x 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
2×	`distribute-lft-out` `unpow2`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `cube-mult` `add-cube-cbrt` `distribute-rgt-out` `flip3-+` `unpow3` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+ (pow x 3) (pow x 2))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(+ (pow x 3) (pow x 2))

simplify58.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	81	79
1	323	72
2	1388	68
3	5002	68

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* x x) x))
0.0b	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
31.0b	(sqrt (* x (+ (* x x) x)))
31.0b	(sqrt (* x (+ (* x x) x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`pow1/2`
11×	`*-un-lft-identity`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `associate-r` `flip-+`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `distribute-lft1-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 107

Calls

4 calls:

6.0ms	(* x (+ (* x x) x))
14.0ms	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
5.0ms	(sqrt (* x (+ (* x x) x)))
5.0ms	(sqrt (* x (+ (* x x) x)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (+ (* x x) x))
54.0ms	(* (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))))
36.0ms	(sqrt (* x (+ (* x x) x)))
41.0ms	(sqrt (* x (+ (* x x) x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	276	662
1	1494	585
2	5003	565

prune171.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample284.0ms

Algorithm

intervals

Results

115.0ms	8000×	body	80	valid
70.0ms	8000×	pre	80	true