Details

Time bar (total: 3.4s)

sample39.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
14.0ms256×body80valid

simplify635.0ms

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: 26.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow x 2.0) (pow x 2.0))
25.1b
(sqrt (+ (pow x 2.0) (pow x 2.0)))

rewrite30.0ms

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))
10.0ms
(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)))

simplify229.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (223.0ms)

IterNodesCost
0149334
1494319
23175309
35001308

prune143.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New66874
Fresh000
Picked011
Done000
Total66975

Merged error: 0.1b

Counts
75 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
12.1b
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×sqrt-prod
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×rem-sqrt-square pow1/3
2×unpow-prod-down sqr-pow
1×sqrt-pow1 pow1/2
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

series143.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
23.0ms
(cbrt x)
22.0ms
(cbrt x)
74.0ms
(sqrt (pow (* (cbrt x) (cbrt x)) 2.0))

simplify130.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
0149281
1307265
2752231
32300225
45002225

prune167.0ms

Filtered
51 candidates to 62 candidates (-21.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New59362
Fresh167
Picked101
Done011
Total611071

Merged error: 0.1b

Counts
71 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 54
Calls
4 calls:
3.0ms
(pow (cbrt x) 2.0)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series121.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(pow (cbrt x) 2.0)
23.0ms
(cbrt x)
22.0ms
(cbrt x)
25.0ms
(cbrt x)

simplify46.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0139258
1370242
21180204
35001199

prune174.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New62466
Fresh088
Picked101
Done011
Total631376

Merged error: 0.1b

Counts
76 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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)

series93.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
24.0ms
(cbrt x)
22.0ms
(cbrt x)
24.0ms
(cbrt x)

simplify118.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (21.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42708128
55002128

prune172.0ms

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

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh01111
Picked011
Done011
Total551469

Merged error: 0.1b

Counts
69 → 14

regimes485.0ms

Accuracy

78.4% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 1.4b

bsearch15.0ms

Steps
ItersRangePoint
6
-4.308748817249256e-309
1.5843021643912442e-307
5.26598531814963e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013
12613
22613

end0.0ms

sample589.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.024414%

Guaranteed chance to sample good point: 99.993895%

Results
430.0ms8000×body80valid

Profiling

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