Details

Time bar (total: 2.3s)

analyze63.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms6×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))

rewrite7.0ms

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))

simplify32.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0167140
1840114
25002114

prune38.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New24529
Fresh000
Picked011
Done000
Total24630

Merged error: 0.0b

Counts
30 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×pow1 add-exp-log
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
12×add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt
4×frac-times add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
2×associate-*l/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
15.0ms
(* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))

series39.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0451795
11470719
25002704

prune205.0ms

Filtered
67 candidates to 87 candidates (-29.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New83487
Fresh134
Picked101
Done011
Total85893

Merged error: 0.0b

Counts
93 → 8

localize12.0ms

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 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
16×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
7×add-cube-cbrt
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ associate-*l/
Counts
4 → 62
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify79.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0317706
1816675
22751659
35001653

prune247.0ms

Filtered
61 candidates to 74 candidates (-21.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh066
Picked011
Done011
Total74882

Merged error: 0.0b

Counts
82 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))))
9.3b
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
9.3b
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
9.3b
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
420×cbrt-div
218×associate-*r/
148×frac-times
126×flip3-- flip--
50×associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 162
Calls
4 calls:
12.0ms
(* (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))))
13.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
12.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
13.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

series123.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))))
27.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
27.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
31.0ms
(cbrt (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06554692
119524549
250014436

prune567.0ms

Filtered
92 candidates to 174 candidates (-89.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1740174
Fresh055
Picked011
Done022
Total1748182

Merged error: 0.0b

Counts
182 → 8

regimes174.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

analyze59.0ms

Algorithm
search

sample287.0ms

Algorithm
intervals
Results
169.0ms8000×body80valid
3.0ms156×body80invalid

Profiling

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