Details

sample33.0ms

Algorithm

intervals

Results

23.0ms

463×

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

10.0ms	(* x (+ 2.0 x))
3.0ms	(+ (* y y) (* x (+ 2.0 x)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (+ 2.0 x))
33.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify36.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (8.0ms)

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

prune73.0ms

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	(sqrt (+ (* y y) (* 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)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

3.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(+ (* y y) (* x (+ 2.0 x)))
3.0ms	(+ (* y y) (* x (+ 2.0 x)))
20.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
30.0ms	(+ (* y y) (* x (+ 2.0 x)))
30.0ms	(+ (* y y) (* x (+ 2.0 x)))
34.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	246	897
1	1051	806
2	5001	779

prune190.0ms

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	(- (* y y) (* x (+ 2.0 x)))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
0.7b	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
27.5b	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite68.0ms

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)))
23.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
10.0ms	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
28.0ms	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* y y) (* x (+ 2.0 x)))
34.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
91.0ms	(+ (- (* (* 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))))

simplify86.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (72.0ms)

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

prune252.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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	10	4
1	10	4

end0.0ms

sample940.0ms

Algorithm

intervals

Results

706.0ms

14312×

body

valid