Details

Time bar (total: 4.0s)

sample30.0ms

Algorithm
intervals
Results
7.0ms268×body80valid
6.0ms268×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1234
2404
3594
4744
51034
61204
71454
82264
92574
102574

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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 1 expressions with local error:

0.2b
(* y (sqrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* y (sqrt x))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(* y (sqrt x))

simplify79.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0135110
1571105
22894100
35001100

prune81.0ms

Filtered
25 candidates to 17 candidates (68.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh000
Picked011
Done000
Total21526

Merged error: 0.0b

Counts
26 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.4b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(sqrt (sqrt x))
145.0ms
(sqrt (sqrt x))
79.0ms
(* y (sqrt (sqrt x)))
58.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0295492
11260445
25001425

prune259.0ms

Filtered
100 candidates to 61 candidates (61.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh123
Picked011
Done011
Total996105

Merged error: 0b

Counts
105 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (cbrt (pow (sqrt (sqrt x)) 3)))
0.4b
(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
0.6b
(cbrt (pow (sqrt (sqrt x)) 3))
0.7b
(pow (sqrt (sqrt x)) 3)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
56×cbrt-prod
47×add-sqr-sqrt
36×associate-*r*
30×add-cube-cbrt unpow-prod-down *-un-lft-identity cube-prod
14×pow1
12×add-exp-log
10×add-cbrt-cube
9×unswap-sqr
5×pow-pow
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp sqr-pow
3×cube-mult pow-unpow unpow3
2×pow1/2 *-commutative
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 147
Calls
4 calls:
10.0ms
(* y (cbrt (pow (sqrt (sqrt x)) 3)))
15.0ms
(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
4.0ms
(cbrt (pow (sqrt (sqrt x)) 3))
4.0ms
(pow (sqrt (sqrt x)) 3)

series461.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* y (cbrt (pow (sqrt (sqrt x)) 3)))
60.0ms
(* (* y (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (sqrt x)))
142.0ms
(cbrt (pow (sqrt (sqrt x)) 3))
186.0ms
(pow (sqrt (sqrt x)) 3)

simplify78.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0487906
12230756
25002730

prune351.0ms

Filtered
159 candidates to 75 candidates (47.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh033
Picked011
Done022
Total1596165

Merged error: 0b

Counts
165 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt x)) y)
0.3b
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
3.0ms
(* (fabs (cbrt x)) y)
6.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series517.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (fabs (cbrt x)) y)
132.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
177.0ms
(cbrt x)
184.0ms
(cbrt x)

simplify92.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0210392
1952345
23737339
35001334

prune416.0ms

Filtered
76 candidates to 53 candidates (69.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New75176
Fresh112
Picked101
Done033
Total77582

Merged error: 0b

Counts
82 → 5

regimes142.0ms

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
094
194

end0.0ms

sample876.0ms

Algorithm
intervals
Results
246.0ms8538×body80valid
213.0ms8376×body80nan
0.0ms2×body1280valid

Profiling

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