Details

Time bar (total: 1.7s)

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

sample20.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.7b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ 1.0 (* x x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
4.0ms
(/ 1.0 (* x x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

simplify41.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05024152

prune33.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh000
Picked011
Done000
Total21425

Merged error: 0.0b

Counts
25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite9.0ms

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

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (/ 1.0 x) x)

simplify85.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04714702
14714702

prune82.0ms

Filtered
48 candidates to 73 candidates (-52.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New71273
Fresh022
Picked011
Done011
Total71677

Merged error: 0.0b

Counts
77 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
12.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
4.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series100.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
26.0ms
(cbrt (/ 1.0 x))
23.0ms
(cbrt (/ 1.0 x))
23.0ms
(cbrt (/ 1.0 x))

simplify65.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
052041449

prune300.0ms

Filtered
118 candidates to 156 candidates (-32.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1542156
Fresh033
Picked011
Done022
Total1548162

Merged error: 0.0b

Counts
162 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.7b
(pow (cbrt (/ 1.0 x)) 6)
24.7b
(cbrt (pow (cbrt (/ 1.0 x)) 6))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
32×unpow-prod-down
pow1 add-exp-log
pow1/3 add-cbrt-cube div-inv add-log-exp
pow-unpow
cbrt-div pow-pow sqr-pow
pow-to-exp pow-exp
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
5.0ms
(pow (cbrt (/ 1.0 x)) 6)
7.0ms
(cbrt (pow (cbrt (/ 1.0 x)) 6))

series115.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (/ 1.0 x))
26.0ms
(cbrt (/ 1.0 x))
38.0ms
(pow (cbrt (/ 1.0 x)) 6)
28.0ms
(cbrt (pow (cbrt (/ 1.0 x)) 6))

simplify38.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
04960975
14960975

prune180.0ms

Filtered
81 candidates to 115 candidates (-42.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh044
Picked011
Done033
Total1158123

Merged error: 0.0b

Counts
123 → 8

regimes174.0ms

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
045
145

end0.0ms

sample368.0ms

Algorithm
intervals
Results
115.0ms8000×body80valid

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