Details

Time bar (total: 1.7s)

analyze97.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 97.42268%

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms7×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))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* (* x y) (- 1.0 y))

simplify27.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0167140
1840114
25002114

prune44.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New23629
Fresh000
Picked101
Done000
Total24630

Merged error: 0.0b

Counts
30 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

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
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) (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))

simplify70.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0242241
11448200
25001195

prune87.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New46046
Fresh055
Picked011
Done000
Total46652

Merged error: 0.0b

Counts
52 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
8.8b
(cbrt (* (* x y) (- 1.0 y)))
8.8b
(cbrt (* (* x y) (- 1.0 y)))
8.8b
(cbrt (* (* x y) (- 1.0 y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
6.0ms
(cbrt (* (* x y) (- 1.0 y)))
5.0ms
(cbrt (* (* x y) (- 1.0 y)))
6.0ms
(cbrt (* (* x y) (- 1.0 y)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
18.0ms
(cbrt (* (* x y) (- 1.0 y)))
18.0ms
(cbrt (* (* x y) (- 1.0 y)))
18.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03961084
11321998
25001948

prune215.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh044
Picked011
Done011
Total82890

Merged error: 0.0b

Counts
90 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
8.8b
(cbrt (* (* x y) (- 1.0 y)))
8.8b
(cbrt (* (* x y) (- 1.0 y)))
8.8b
(cbrt (* x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
16×cbrt-div
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 70
Calls
4 calls:
7.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
6.0ms
(cbrt (* (* x y) (- 1.0 y)))
5.0ms
(cbrt (* (* x y) (- 1.0 y)))
2.0ms
(cbrt (* x y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
18.0ms
(cbrt (* (* x y) (- 1.0 y)))
20.0ms
(cbrt (* (* x y) (- 1.0 y)))
14.0ms
(cbrt (* x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0443952
11453877
25001820

prune174.0ms

Filtered
64 candidates to 82 candidates (-28.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New81182
Fresh055
Picked011
Done022
Total81990

Merged error: 0b

Counts
90 → 9

regimes214.0ms

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

analyze101.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 97.42268%

sample297.0ms

Algorithm
intervals
Results
176.0ms8000×body80valid
2.0ms97×body80invalid

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