Details

Time bar (total: 3.4s)

sample36.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.07323%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
14.0ms256×body80valid

simplify649.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1204
2494
31444
44734
521284
650024

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow x 2.0) (pow x 2.0))
29.7b
(sqrt (+ (pow x 2.0) (pow x 2.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
32×unpow-prod-down
24×sqrt-prod
20×add-sqr-sqrt
19×add-cube-cbrt
18×distribute-rgt-out
14×distribute-lft-out
8×sqr-pow
4×distribute-lft1-in distribute-rgt1-in add-log-exp
3×pow1
2×add-exp-log flip3-+ count-2 sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 68
Calls
2 calls:
6.0ms
(+ (pow x 2.0) (pow x 2.0))
9.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (pow x 2.0) (pow x 2.0))
12.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

simplify234.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (227.0ms)

IterNodesCost
0149334
1494319
23175309
35001308

prune124.0ms

Filtered
44 candidates to 74 candidates (-68.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68674
Fresh000
Picked011
Done000
Total68775

Merged error: 0.2b

Counts
75 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(* (cbrt x) (cbrt x))
0.5b
(pow (cbrt x) 2.0)
14.3b
(sqrt (+ (pow (* (cbrt x) (cbrt x)) 2.0) (pow (* (cbrt x) (cbrt x)) 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
35×cbrt-prod
30×*-un-lft-identity
28×add-cube-cbrt
20×pow1
16×sqrt-prod
13×pow1/3
12×swap-sqr associate-*r* associate-*l*
10×unpow-prod-down
9×add-exp-log
8×unswap-sqr
5×distribute-rgt-out distribute-lft-out sqr-pow
4×pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
3×pow-unpow
2×pow2 pow-pow pow-plus sqrt-div prod-exp *-commutative cbrt-unprod
1×pow-to-exp rem-sqrt-square distribute-lft1-in sqrt-pow1 flip3-+ pow1/2 count-2 distribute-rgt1-in pow-exp flip-+
Counts
4 → 129
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
5.0ms
(* (cbrt x) (cbrt x))
2.0ms
(pow (cbrt x) 2.0)
6.0ms
(sqrt (+ (pow (* (cbrt x) (cbrt x)) 2.0) (pow (* (cbrt x) (cbrt x)) 2.0)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt x) (cbrt x))
25.0ms
(* (cbrt x) (cbrt x))
45.0ms
(pow (cbrt x) 2.0)
35.0ms
(sqrt (+ (pow (* (cbrt x) (cbrt x)) 2.0) (pow (* (cbrt x) (cbrt x)) 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0304910
11084856
25001765

prune246.0ms

Filtered
90 candidates to 141 candidates (-56.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1365141
Fresh235
Picked011
Done011
Total13810148

Merged error: 0.1b

Counts
148 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt x) 2.0)
0.5b
(pow (cbrt x) 2.0)
0.5b
(pow (cbrt x) 2.0)
0.5b
(pow (cbrt x) 2.0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod pow-unpow
8×pow1 add-exp-log pow-pow
4×pow-to-exp pow1/3 pow-exp add-cbrt-cube add-log-exp sqr-pow
Counts
4 → 84
Calls
4 calls:
2.0ms
(pow (cbrt x) 2.0)
3.0ms
(pow (cbrt x) 2.0)
5.0ms
(pow (cbrt x) 2.0)
3.0ms
(pow (cbrt x) 2.0)

series187.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (cbrt x) 2.0)
46.0ms
(pow (cbrt x) 2.0)
48.0ms
(pow (cbrt x) 2.0)
46.0ms
(pow (cbrt x) 2.0)

simplify45.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0122420
1326404
21094372
35001364

prune237.0ms

Filtered
68 candidates to 96 candidates (-41.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New93396
Fresh167
Picked011
Done112
Total9511106

Merged error: 0.1b

Counts
106 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt x) 2.0)
0.5b
(pow (cbrt x) 2.0)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
6×pow1 add-exp-log pow-unpow
4×pow-pow pow1/3 add-cbrt-cube add-log-exp
2×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
3.0ms
(pow (cbrt x) 2.0)
3.0ms
(pow (cbrt x) 2.0)
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))

series158.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(pow (cbrt x) 2.0)
47.0ms
(pow (cbrt x) 2.0)
34.0ms
(cbrt (* (cbrt x) (cbrt x)))
31.0ms
(cbrt (cbrt x))

simplify66.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0209374
1515350
21770311
35002304

prune188.0ms

Filtered
58 candidates to 77 candidates (-32.8%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New74377
Fresh088
Picked011
Done022
Total741488

Merged error: 0.1b

Counts
88 → 14

regimes331.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11114

end0.0ms

sample523.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.07323%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
420.0ms8000×body80valid
0.0ms1×body80invalid

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