Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

438×

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
4.0ms	(+ (* x 2.0) (* x x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
56.0ms	(+ (* x 2.0) (* x x))

simplify101.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (24.0ms)

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

prune59.0ms

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

rewrite11.0ms

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-+r+` `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:

4.0ms	(+ (* y y) (* x (+ 2.0 x)))
6.0ms	(* x (+ 2.0 x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* y y) (* x (+ 2.0 x)))
41.0ms	(* x (+ 2.0 x))

simplify32.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5002	169

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
96.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
97.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
98.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

simplify127.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	263	1232
1	964	1153
2	4410	1071
3	5001	1064

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 2.0 x))
0.0b	(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
0.0b	(* x (+ (pow 2.0 3) (pow x 3)))
7.5b	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `flip3-+` `cube-prod` `associate-*r/` `flip-+`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

4.0ms	(- (* x x) (* 2.0 x))
11.0ms	(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
14.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
19.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* x x) (* 2.0 x))
104.0ms	(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
97.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
208.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify83.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	471	800
1	2465	703
2	5003	696

prune235.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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	10	4
1	10	4

end0.0ms

sample557.0ms

Algorithm

intervals

Results

328.0ms

14290×

body

valid