Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

465×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

3.0ms	(+ (* y y) (* x (+ 2.0 x)))
9.0ms	(* x (+ 2.0 x))

series76.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* y y) (* x (+ 2.0 x)))
47.0ms	(* x (+ 2.0 x))

simplify33.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

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

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))
11.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x 2.0) (* x x))
31.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify102.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (23.0ms)

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

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.1b	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
16×	`add-log-exp`
12×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
9×	`flip3-+` `flip-+`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
7×	`sum-log`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`+-commutative` `pow-prod-down` `pow-sqr`
2×	`associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

2.0ms	(+ (* x 2.0) (* x x))
11.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
11.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
59.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x 2.0) (* x x))
30.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
31.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
34.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	275	959
1	1370	831
2	5001	811

prune204.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* x (+ 2.0 x)))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.6b	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
30.5b	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
23×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
14×	`associate-*r/`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
5×	`distribute-lft-out`
4×	`frac-times` `associate-+l+` `distribute-neg-in` `pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`neg-sub0` `associate-+l-` `flip3--` `pow-plus` `associate-*l/` `sum-log` `associate-/r/` `flip--` `associate-/l/` `associate--r+`
1×	`cbrt-undiv` `+-commutative` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 114

Calls

4 calls:

3.0ms	(- (* y y) (* x (+ 2.0 x)))
22.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
13.0ms	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
24.0ms	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* y y) (* x (+ 2.0 x)))
39.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
94.0ms	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
101.0ms	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

simplify83.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	523	1343
1	2761	1176
2	5002	1160

prune250.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

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

sample547.0ms

Algorithm

intervals

Results

328.0ms

14336×

body

valid