Details

Time bar (total: 3.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms320×body80valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) z)
0.0b
(+ (* x y) (* (- 1.0 x) z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×associate-*l*
8×add-sqr-sqrt
6×distribute-lft-out
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r* distribute-lft-out--
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
2 → 39
Calls
2 calls:
6.0ms
(* (- 1.0 x) z)
19.0ms
(+ (* x y) (* (- 1.0 x) z))

series65.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 x) z)
32.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify97.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177207
1743190
23940190
35002190

prune54.0ms

Filtered
45 candidates to 28 candidates (37.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New44145
Fresh000
Picked011
Done000
Total44246

Merged error: 0.0b

Counts
46 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* x y) 3)
1.2b
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
2.8b
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
38.9b
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
811×*-un-lft-identity
554×associate-*l*
311×distribute-lft-out
216×unpow-prod-down
210×times-frac
82×distribute-lft-out--
71×pow-unpow
68×sum-cubes
41×add-sqr-sqrt
39×add-cube-cbrt
15×associate-/r*
14×associate-/l*
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
4×associate-+l+ flip3-+ flip-+
3×associate-*r*
2×+-commutative distribute-rgt-in sub-neg pow-pow distribute-lft-in pow-exp sum-log associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv pow-to-exp frac-2neg unpow3 div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr sqr-pow
Counts
4 → 335
Calls
4 calls:
5.0ms
(pow (* x y) 3)
99.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
25.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
133.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(pow (* x y) 3)
110.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
159.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
287.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

simplify170.0ms

Algorithm
egg-herbie
Counts
347 → 347
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
06106752
129416385
250016369

prune257.0ms

Filtered
347 candidates to 84 candidates (75.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3461347
Fresh000
Picked011
Done011
Total3463349

Merged error: 0.0b

Counts
349 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (pow (* x y) 2))
27.1b
(sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))
27.1b
(sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))
27.2b
(/ (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (pow (* x y) 2)) (sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))))

rewrite443.0ms

Algorithm
rewrite-expression-head
Rules
491×*-un-lft-identity
370×associate-*l*
200×distribute-lft-out
150×sqrt-prod
126×times-frac
50×distribute-lft-out--
43×add-sqr-sqrt
41×add-cube-cbrt
18×associate-/r*
7×associate-/l*
6×pow1 add-exp-log sqrt-div add-cbrt-cube add-log-exp
5×flip3-+ flip-+
4×associate-+l+
2×distribute-rgt-in sub-neg rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 240
Calls
4 calls:
60.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (pow (* x y) 2))
98.0ms
(sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))
99.0ms
(sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))
166.0ms
(/ (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (pow (* x y) 2)) (sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))))

series857.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (pow (* x y) 2))
248.0ms
(sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))
249.0ms
(sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))
249.0ms
(/ (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (pow (* x y) 2)) (sqrt (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))))

simplify104.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
03596465
114864845
250014604

prune271.0ms

Filtered
252 candidates to 76 candidates (69.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2520252
Fresh000
Picked011
Done022
Total2523255

Merged error: 0.0b

Counts
255 → 3

regimes73.0ms

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
0114
1114

end0.0ms

sample450.0ms

Algorithm
intervals
Results
239.0ms10161×body80valid