Details

Time bar (total: 1.9s)

sample21.0ms

Algorithm
intervals
Results
8.0ms342×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1363
2583
3603
4603

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity associate-*r*
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*l/ *-commutative flip-+ add-log-exp
1×distribute-rgt-in distribute-lft-in distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
6.0ms
(* x (+ x y))
7.0ms
(* (* x (+ x y)) 2.0)

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ x y))
5.0ms
(* (* x (+ x y)) 2.0)

simplify39.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0201193
11117164
25002164

prune84.0ms

Filtered
49 candidates to 30 candidates (38.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New46349
Fresh000
Picked101
Done000
Total47350

Merged error: 0b

Counts
50 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
1×flip3-+ associate-*r* *-commutative flip-+ add-log-exp
Counts
1 → 20
Calls
1 calls:
7.0ms
(* x (* (+ x y) 2.0))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (* (+ x y) 2.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0148106
159187
2322087
3500287

prune38.0ms

Filtered
23 candidates to 16 candidates (30.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New23023
Fresh022
Picked011
Done000
Total23326

Merged error: 0b

Counts
26 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* x (+ x y)) 2.0)
0.3b
(* (sqrt (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)))
7.4b
(sqrt (* (* x (+ x y)) 2.0))
7.4b
(sqrt (* (* x (+ x y)) 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/ associate-*l/
17×pow-prod-up
16×sqrt-div
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×frac-times swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 122
Calls
4 calls:
7.0ms
(* (* x (+ x y)) 2.0)
16.0ms
(* (sqrt (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)))
5.0ms
(sqrt (* (* x (+ x y)) 2.0))
6.0ms
(sqrt (* (* x (+ x y)) 2.0))

series50.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (* x (+ x y)) 2.0)
12.0ms
(* (sqrt (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)))
18.0ms
(sqrt (* (* x (+ x y)) 2.0))
15.0ms
(sqrt (* (* x (+ x y)) 2.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0325667
11656598
25001566

prune207.0ms

Filtered
134 candidates to 66 candidates (50.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh011
Picked011
Done011
Total1343137

Merged error: 0b

Counts
137 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y y) (* x y))
0.5b
(+ (pow x 3) (pow y 3))
3.3b
(* x (+ (pow x 3) (pow y 3)))
32.8b
(/ (* (* x (+ (pow x 3) (pow y 3))) 2.0) (+ (* x x) (- (* y y) (* x y))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
15×add-exp-log add-cbrt-cube
10×add-sqr-sqrt distribute-lft-out
9×associate-*r*
8×add-cube-cbrt unpow-prod-down cube-prod add-log-exp
6×pow1
4×flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+
3×cbrt-undiv times-frac div-exp associate-*l* associate-/r*
2×associate-*l/ associate-/r/ sum-cubes associate-/l/
1×+-commutative distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
3.0ms
(- (* y y) (* x y))
10.0ms
(+ (pow x 3) (pow y 3))
13.0ms
(* x (+ (pow x 3) (pow y 3)))
22.0ms
(/ (* (* x (+ (pow x 3) (pow y 3))) 2.0) (+ (* x x) (- (* y y) (* x y))))

series39.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* y y) (* x y))
7.0ms
(+ (pow x 3) (pow y 3))
8.0ms
(* x (+ (pow x 3) (pow y 3)))
18.0ms
(/ (* (* x (+ (pow x 3) (pow y 3))) 2.0) (+ (* x x) (- (* y y) (* x y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0455750
12598620
25001613

prune359.0ms

Filtered
97 candidates to 62 candidates (36.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done022
Total973100

Merged error: 0b

Counts
100 → 3

regimes74.0ms

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
093
193

end0.0ms

sample559.0ms

Algorithm
intervals
Results
281.0ms11087×body80valid

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