Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

438×

body

valid

simplify7.0ms

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

prune4.0ms

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

rewrite32.0ms

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:

12.0ms	(+ (* y y) (* x (+ 2.0 x)))
19.0ms	(* x (+ 2.0 x))

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* y y) (* x (+ 2.0 x)))
44.0ms	(* x (+ 2.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (8.0ms)

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

prune67.0ms

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

rewrite39.0ms

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+`

Counts

2 → 24

Calls

2 calls:

10.0ms	(+ (* y y) (* 2.0 x))
28.0ms	(+ (+ (* y y) (* 2.0 x)) (* x x))

series59.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* y y) (* 2.0 x))
31.0ms	(+ (+ (* y y) (* 2.0 x)) (* x x))

simplify82.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	180	193
1	815	175
2	3049	170
3	5001	170

prune57.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite206.0ms

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`

Counts

4 → 94

Calls

4 calls:

7.0ms	(+ (* y y) (* 2.0 x))
29.0ms	(+ (+ (* y y) (* 2.0 x)) (* x x))
29.0ms	(+ (+ (* y y) (* 2.0 x)) (* x x))
138.0ms	(* (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* y y) (* 2.0 x))
31.0ms	(+ (+ (* y y) (* 2.0 x)) (* x x))
34.0ms	(+ (+ (* y y) (* 2.0 x)) (* x x))
32.0ms	(* (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))))

simplify44.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	273	955
1	1251	860
2	5001	828

prune197.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* y y) (* 2.0 x)) (* x x))
0.0b	(+ (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) (* x x))
0.1b	(* (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) (* x x))))
17.7b	(/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x)))

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
12×	`times-frac` `sqrt-div`
11×	`add-log-exp`
10×	`sqrt-prod`
9×	`flip3-+` `flip-+`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`frac-times` `sum-log` `distribute-lft-out` `associate-/l*` `unswap-sqr`
3×	`associate-+l-` `pow-prod-down` `associate-/r*`
2×	`+-commutative` `neg-sub0` `sqrt-pow1` `pow1/2` `div-sub` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate-+l+` `flip3--` `frac-2neg` `sqrt-unprod` `div-exp` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv`

Counts

4 → 99

Calls

4 calls:

29.0ms	(+ (+ (* y y) (* 2.0 x)) (* x x))
103.0ms	(+ (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) (* x x))
308.0ms	(* (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) (* x x))))
48.0ms	(/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ (* y y) (* 2.0 x)) (* x x))
72.0ms	(+ (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) (* x x))
161.0ms	(* (sqrt (+ (+ (* y y) (* 2.0 x)) (* x x))) (sqrt (+ (/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x))) (* x x))))
121.0ms	(/ (+ (- (* (* 2.0 x) (* 2.0 x))) (pow y 4)) (- (* y y) (* 2.0 x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	475	2077
1	2260	1960
2	5001	1929

prune364.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

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

sample608.0ms

Algorithm

intervals

Results

315.0ms

14002×

body

valid