Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
8.0ms
(* (* x y) (- 1.0 y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0292436
11402284
25001272

prune53.0ms

Filtered
49 candidates to 19 candidates (38.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh000
Picked011
Done000
Total44650

Merged error: 0.0b

Counts
50 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b
(* (* x y) (- y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 45
Calls
2 calls:
5.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
6.0ms
(* (* x y) (- y))

series118.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
38.0ms
(* (* x y) (- y))

simplify61.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0252263
11522222
25002217

prune201.0ms

Filtered
51 candidates to 35 candidates (68.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New51051
Fresh044
Picked011
Done011
Total51657

Merged error: 0.0b

Counts
57 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
11.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))
94.0ms
(cbrt (- 1.0 y))
109.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify145.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0328874
11077836
24703779
35001778

prune258.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1201121
Fresh033
Picked011
Done022
Total1207127

Merged error: 0b

Counts
127 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.3b
(pow (cbrt (cbrt (- 1.0 y))) 4)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
40×add-sqr-sqrt
38×*-un-lft-identity
18×add-cube-cbrt
16×cbrt-div
12×pow1
11×unpow-prod-down
10×swap-sqr
9×pow1/3 distribute-lft-out--
8×flip3-- associate-*r* associate-*l* flip--
7×add-exp-log difference-of-squares
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 120
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
11.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
6.0ms
(pow (cbrt (cbrt (- 1.0 y))) 4)

series462.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (- 1.0 y))
97.0ms
(cbrt (- 1.0 y))
108.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
164.0ms
(pow (cbrt (cbrt (- 1.0 y))) 4)

simplify59.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0520969
11769928
25001873

prune377.0ms

Filtered
132 candidates to 94 candidates (71.2%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1320132
Fresh033
Picked011
Done033
Total1327139

Merged error: 0b

Counts
139 → 7

regimes78.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1186
2246
3246

end0.0ms

sample407.0ms

Algorithm
intervals
Results
244.0ms10728×body80valid