Details

Time bar (total: 3.7s)

sample30.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
14.0ms256×body80valid

simplify621.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1204
2494
31444
44734
521284
650024

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow x 2.0) (pow x 2.0))
27.3b
(sqrt (+ (pow x 2.0) (pow x 2.0)))

rewrite20.0ms

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:
7.0ms
(+ (pow x 2.0) (pow x 2.0))
10.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (pow x 2.0) (pow x 2.0))
31.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))

simplify229.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (223.0ms)

IterNodesCost
0149334
1494319
23175309
35001308

prune135.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New67774
Fresh000
Picked011
Done000
Total67875

Merged error: 0.1b

Counts
75 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
11.9b
(sqrt (+ (pow (* (cbrt x) (cbrt x)) 2.0) (pow (* (cbrt x) (cbrt x)) 2.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
12×add-cube-cbrt
9×cbrt-prod
5×pow1 distribute-rgt-out distribute-lft-out
4×add-exp-log unpow-prod-down add-cbrt-cube add-log-exp sqr-pow
3×pow1/3
2×sqrt-div
1×rem-sqrt-square distribute-lft1-in sqrt-pow1 flip3-+ pow1/2 count-2 distribute-rgt1-in flip-+
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(sqrt (+ (pow (* (cbrt x) (cbrt x)) 2.0) (pow (* (cbrt x) (cbrt x)) 2.0)))

series105.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
22.0ms
(cbrt x)
25.0ms
(cbrt x)
34.0ms
(sqrt (+ (pow (* (cbrt x) (cbrt x)) 2.0) (pow (* (cbrt x) (cbrt x)) 2.0)))

simplify370.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (363.0ms)

IterNodesCost
0191566
1526548
23755481
35001478

prune178.0ms

Filtered
54 candidates to 73 candidates (-35.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh156
Picked101
Done011
Total711081

Merged error: 0.1b

Counts
81 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series92.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)
25.0ms
(cbrt x)

simplify119.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (22.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune171.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New53356
Fresh088
Picked011
Done011
Total531366

Merged error: 0.1b

Counts
66 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 96
Calls
4 calls:
8.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))

series131.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
34.0ms
(cbrt (cbrt x))
31.0ms
(cbrt (cbrt x))
31.0ms
(cbrt (cbrt x))

simplify83.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0178687
1548646
22604562
35001549

prune217.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1044108
Fresh01010
Picked011
Done022
Total10417121

Merged error: 0.0b

Counts
121 → 17

regimes543.0ms

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

sample577.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
435.0ms8001×body80valid

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