Details

Time bar (total: 1.6s)

analyze72.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 52.5854%

Guaranteed chance to sample good point: 97.833076%

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms3×body80invalid
0.0ms3×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

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 (sqrt x)))
0.3b
(* y (sqrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series13.0ms

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

simplify126.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0229223
1909209
24523202
35001202

prune63.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37643
Fresh000
Picked011
Done000
Total37744

Merged error: 0.0b

Counts
44 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.3b
(* (* 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)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt x))
15.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0313517
11342467
25001423

prune92.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh235
Picked011
Done011
Total1007107

Merged error: 0b

Counts
107 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x)))) (sqrt (sqrt x)))
0.4b
(* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x))))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log cbrt-prod add-cbrt-cube
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
14.0ms
(* (* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x)))) (sqrt (sqrt x)))
8.0ms
(* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series79.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x)))) (sqrt (sqrt x)))
24.0ms
(* (* (fabs (cbrt (sqrt x))) y) (sqrt (cbrt (sqrt x))))
15.0ms
(cbrt (sqrt x))
16.0ms
(cbrt (sqrt x))

simplify64.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0487918
12285812
25002773

prune97.0ms

Filtered
59 candidates to 94 candidates (-59.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done022
Total947101

Merged error: 0b

Counts
101 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

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 y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series91.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt y) (cbrt y))
22.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify71.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune66.0ms

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

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done033
Total85792

Merged error: 0b

Counts
92 → 7

regimes146.0ms

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

analyze71.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 52.5854%

Guaranteed chance to sample good point: 97.833076%

sample339.0ms

Algorithm
intervals
Results
218.0ms7997×body80valid
2.0ms75×body80nan
1.0ms53×body80invalid
0.0ms3×body1280valid

Profiling

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