Details

Time bar (total: 2.3s)

analyze63.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms1×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973

prune2.0ms

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))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* (* x y) (- 1.0 y))

simplify28.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0167140
1840114
25002114

prune49.0ms

Filtered
15 candidates to 29 candidates (-93.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New21829
Fresh000
Picked101
Done000
Total22830

Merged error: 0.0b

Counts
30 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (neg y)))
0.2b
(* (* x y) (neg 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:
4.0ms
(+ (* (* x y) 1.0) (* (* x y) (neg y)))
6.0ms
(* (* x y) (neg y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (* (* x y) 1.0) (* (* x y) (neg y)))
7.0ms
(* (* x y) (neg y))

simplify54.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0242241
11448200
25001195

prune60.0ms

Filtered
31 candidates to 46 candidates (-48.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45146
Fresh077
Picked011
Done000
Total45954

Merged error: 0.0b

Counts
54 → 9

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)))

rewrite22.0ms

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)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
7.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify138.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0330920
11050880
24575822
35001818

prune257.0ms

Filtered
81 candidates to 113 candidates (-39.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1094113
Fresh257
Picked101
Done011
Total11210122

Merged error: 0.0b

Counts
122 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
85×cbrt-prod
76×add-sqr-sqrt
70×*-un-lft-identity
56×cbrt-div
30×swap-sqr
28×add-cube-cbrt
25×pow1
24×flip3-- associate-*r* associate-*l* flip--
19×pow1/3
18×distribute-lft-out--
16×frac-times
12×difference-of-squares unswap-sqr
10×add-exp-log
8×associate-*r/ associate-*l/
6×pow-prod-down pow-sqr pow-prod-up
4×add-cbrt-cube add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 185
Calls
4 calls:
8.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
11.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
12.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
7.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
7.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
38.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify170.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
03661762
111401683
248061562
350011562

prune654.0ms

Filtered
125 candidates to 197 candidates (-57.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh088
Picked011
Done011
Total19710207

Merged error: 0.0b

Counts
207 → 10

regimes184.0ms

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

analyze63.0ms

Algorithm
search

sample318.0ms

Algorithm
intervals
Results
192.0ms8000×body80valid
4.0ms157×body80invalid

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