Details

Time bar (total: 2.3s)

analyze62.0ms

Algorithm
search

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms3×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 1.0 (* x y))
5.0ms
(* x (- 1.0 (* x y)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* x y))
6.0ms
(* x (- 1.0 (* x y)))

simplify92.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0138190
1581168
23052168
35001168

prune67.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New34842
Fresh000
Picked011
Done000
Total34943

Merged error: 0.0b

Counts
43 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
37.0ms
(cbrt (- 1.0 (* x y)))
40.0ms
(cbrt (- 1.0 (* x y)))
38.0ms
(cbrt (- 1.0 (* x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03521100
113561049
25002988

prune240.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New96399
Fresh167
Picked011
Done011
Total9711108

Merged error: 0.0b

Counts
108 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×cbrt-div
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (cbrt (- 1.0 (* x y))))

series152.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- 1.0 (* x y)))
38.0ms
(cbrt (- 1.0 (* x y)))
37.0ms
(cbrt (- 1.0 (* x y)))
39.0ms
(cbrt (cbrt (- 1.0 (* x y))))

simplify37.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0294746
11035716
25000700

prune261.0ms

Filtered
63 candidates to 67 candidates (-6.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New66167
Fresh178
Picked011
Done022
Total671178

Merged error: 0.0b

Counts
78 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite18.0ms

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:
6.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))

series213.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
50.0ms
(cbrt (* x (- 1.0 (* x y))))
48.0ms
(cbrt (* x (- 1.0 (* x y))))
50.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04231104
116381039
25001977

prune192.0ms

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

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New83184
Fresh077
Picked011
Done033
Total831295

Merged error: 0b

Counts
95 → 12

regimes214.0ms

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

analyze58.0ms

Algorithm
search

sample319.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid
2.0ms96×body80invalid

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