Details

Time bar (total: 2.1s)

analyze7.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%18.7%6.3%5
75%9.4%15.7%6
75%4.7%20.4%7
75%2.3%22.7%8
75%1.2%23.9%9
75%0.6%24.5%10
75%0.3%24.7%11
75%0.1%24.9%12
75%0.1%25%13
75%0%25%14

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

1.1b
(/ 1.0 (* x x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
8.0ms
(/ 1.0 (* x x))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ 1.0 (* x x))

simplify126.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
09986
132071
295271
3449771
4500171

prune58.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325

Merged error: 0.1b

Counts
25 → 3

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (/ 1.0 x) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0311449
11180415
25002406

prune104.0ms

Filtered
50 candidates to 73 candidates (-46.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New67673
Fresh101
Picked011
Done011
Total68876

Merged error: 0.0b

Counts
76 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series114.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt x) (cbrt x))
27.0ms
(cbrt x)
29.0ms
(cbrt x)
27.0ms
(cbrt x)

simplify84.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune80.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh325
Picked011
Done022
Total87693

Merged error: 0.0b

Counts
93 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.3b
(/ (/ 1.0 x) (cbrt (* x x)))
0.6b
(cbrt x)
23.8b
(cbrt (* x x))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
462×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
280×cbrt-prod
69×associate-/l*
42×div-inv
18×add-exp-log
11×add-cbrt-cube
10×associate-/r*
9×cbrt-undiv div-exp
4×pow1 add-log-exp
2×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 519
Calls
4 calls:
22.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
8.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
1.0ms
(cbrt x)
3.0ms
(cbrt (* x x))

series95.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
35.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
26.0ms
(cbrt x)
27.0ms
(cbrt (* x x))

simplify121.0ms

Algorithm
egg-herbie
Counts
531 → 531
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
018537356
150027250

prune814.0ms

Filtered
477 candidates to 531 candidates (-11.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5301531
Fresh022
Picked011
Done033
Total5307537

Merged error: 0.0b

Counts
537 → 7

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%18.7%6.3%5
75%9.4%15.7%6
75%4.7%20.4%7
75%2.3%22.7%8
75%1.2%23.9%9
75%0.6%24.5%10
75%0.3%24.7%11
75%0.1%24.9%12
75%0.1%25%13
75%0%25%14

sample219.0ms

Algorithm
intervals
Results
138.0ms8000×body80valid
0.0ms1×body80invalid

Profiling

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