Details

Time bar (total: 2.3s)

analyze57.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

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 (- 1.0 (* x y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* x y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune50.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New20727
Fresh000
Picked011
Done000
Total20828

Merged error: 0.0b

Counts
28 → 8

localize8.0ms

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)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
40.0ms
(cbrt (- 1.0 (* x y)))
39.0ms
(cbrt (- 1.0 (* x y)))
42.0ms
(cbrt (- 1.0 (* x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03521100
113561049
25002988

prune239.0ms

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

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New95499
Fresh246
Picked011
Done011
Total9710107

Merged error: 0.0b

Counts
107 → 10

localize12.0ms

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
10×cbrt-prod
9×flip3-- flip--
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
7.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(cbrt (- 1.0 (* x y)))
39.0ms
(cbrt (- 1.0 (* x y)))
39.0ms
(cbrt (- 1.0 (* x y)))
52.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0337897
11119859
25001835

prune264.0ms

Filtered
61 candidates to 68 candidates (-11.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh077
Picked011
Done022
Total681078

Merged error: 0.0b

Counts
78 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
53.0ms
(cbrt (* x (- 1.0 (* x y))))
53.0ms
(cbrt (* x (- 1.0 (* x y))))
52.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04231104
116381039
25001977

prune201.0ms

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

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New82284
Fresh066
Picked011
Done033
Total821294

Merged error: 0.0b

Counts
94 → 12

regimes212.0ms

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

analyze53.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14

sample298.0ms

Algorithm
intervals
Results
181.0ms8000×body80valid
2.0ms94×body80invalid

Profiling

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