Details

Time bar (total: 2.4s)

sample25.0ms

Algorithm
intervals
Results
14.0ms480×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
17.0ms
(* (+ x y) (+ x y))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (+ x y) (+ x y))

simplify37.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0189213
1901188
25001170

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.9b
(pow (cbrt (+ x y)) 4)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt
7×unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
5.0ms
(pow (cbrt (+ x y)) 4)

series626.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (+ x y))
146.0ms
(cbrt (+ x y))
140.0ms
(cbrt (+ x y))
222.0ms
(pow (cbrt (+ x y)) 4)

simplify100.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0221388
1727362
22880344
35001342

prune169.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* y y))
0.2b
(* (- (* x x) (* y y)) (+ x y))
18.6b
(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×frac-times flip3-- flip-- associate-/l/
7×add-cube-cbrt
6×flip3-+ flip-+
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r* associate-*l* associate-*l/ difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out--
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 78
Calls
3 calls:
3.0ms
(- (* x x) (* y y))
19.0ms
(* (- (* x x) (* y y)) (+ x y))
12.0ms
(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

series109.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* x x) (* y y))
38.0ms
(* (- (* x x) (* y y)) (+ x y))
41.0ms
(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0436731
12661647
25001647

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2 (* x y))
0.0b
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
0.0b
(+ (pow y 2) (* 2 (* x y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt sum-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+r+ associate-*r* *-commutative distribute-lft-out
Counts
3 → 43
Calls
3 calls:
6.0ms
(* 2 (* x y))
19.0ms
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
9.0ms
(+ (pow y 2) (* 2 (* x y)))

series80.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* 2 (* x y))
24.0ms
(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
36.0ms
(+ (pow y 2) (* 2 (* x y)))

simplify35.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0226296
1985273
25001265

prune97.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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)

IterNodesCost
0136
1136

end0.0ms

sample649.0ms

Algorithm
intervals
Results
423.0ms14396×body80valid