Details

Time bar (total: 2.6s)

sample14.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* x y) (- 1.0 y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (* x y) (- 1.0 y))

simplify28.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0167140
1840114
25002114

prune39.0ms

Filtered
29 candidates to 15 candidates (51.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New24529
Fresh000
Picked011
Done000
Total24630

Merged error: 0.0b

Counts
30 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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
1×+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 40
Calls
2 calls:
5.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
6.0ms
(* (* x y) (- y))

series107.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
31.0ms
(* (* x y) (- y))

simplify55.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0242241
11458200
25002195

prune66.0ms

Filtered
46 candidates to 30 candidates (65.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh044
Picked011
Done011
Total45752

Merged error: 0b

Counts
52 → 7

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)))

rewrite25.0ms

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×frac-times add-cbrt-cube 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 → 101
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))
90.0ms
(cbrt (- 1.0 y))
105.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify139.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0316847
11010807
24442753
35001749

prune234.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1121113
Fresh134
Picked011
Done022
Total1137120

Merged error: 0b

Counts
120 → 7

localize13.0ms

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)

rewrite26.0ms

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×frac-times add-cbrt-cube 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 → 112
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
6.0ms
(pow (cbrt (cbrt (- 1.0 y))) 4)

series459.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (- 1.0 y))
93.0ms
(cbrt (- 1.0 y))
115.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
159.0ms
(pow (cbrt (cbrt (- 1.0 y))) 4)

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0503938
11674895
25001840

prune344.0ms

Filtered
124 candidates to 86 candidates (69.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1240124
Fresh033
Picked011
Done033
Total1247131

Merged error: 0b

Counts
131 → 7

regimes82.0ms

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

sample403.0ms

Algorithm
intervals
Results
239.0ms10728×body80valid