Details

sample43.0ms

Algorithm

intervals

Results

31.0ms

449×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

2.0ms	(+ (* x 2.0) (* x x))
12.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series92.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x 2.0) (* x x))
32.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify108.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* x (+ 2.0 x)) (* y y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms	(* x (+ 2.0 x))
8.0ms	(+ (* x (+ 2.0 x)) (* y y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* x (+ 2.0 x))
32.0ms	(+ (* x (+ 2.0 x)) (* y y))

simplify37.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	204	184
1	1018	171
2	5001	171

prune69.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
0.5b	(cbrt (* x (+ 2.0 x)))
0.5b	(cbrt (* x (+ 2.0 x)))
0.5b	(cbrt (* x (+ 2.0 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
3.0ms	(cbrt (* x (+ 2.0 x)))
3.0ms	(cbrt (* x (+ 2.0 x)))
4.0ms	(cbrt (* x (+ 2.0 x)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
104.0ms	(cbrt (* x (+ 2.0 x)))
103.0ms	(cbrt (* x (+ 2.0 x)))
109.0ms	(cbrt (* x (+ 2.0 x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	356	791
1	1250	720
2	5001	676

prune254.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

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	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

913.0ms

14106×

body

valid