Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

468×

body

valid

simplify9.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

5.0ms	(* x (+ 2.0 x))
4.0ms	(+ (* y y) (* x (+ 2.0 x)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* x (+ 2.0 x))
30.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5001	169

prune239.0ms

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

rewrite9.0ms

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:

5.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms	(+ (* x 2.0) (* x x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
55.0ms	(+ (* x 2.0) (* x x))

simplify98.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (22.0ms)

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: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

6.0ms	(* x (+ 2.0 x))
4.0ms	(+ (* y y) (* x (+ 2.0 x)))
4.0ms	(+ (* y y) (* x (+ 2.0 x)))
11.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (+ 2.0 x))
29.0ms	(+ (* y y) (* x (+ 2.0 x)))
32.0ms	(+ (* y y) (* x (+ 2.0 x)))
30.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	296	831
1	1479	753
2	5001	732

prune211.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.7b	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
28.3b	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

5.0ms	(* x (+ 2.0 x))
11.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
9.0ms	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
16.0ms	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (+ 2.0 x))
33.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
96.0ms	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
102.0ms	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

simplify91.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	525	1318
1	2965	1157
2	5001	1141

prune248.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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

sample561.0ms

Algorithm

intervals

Results

349.0ms

14257×

body

valid