Details

Time bar (total: 4.0s)

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 14.190674%

Guaranteed chance to sample good point: 76.107831%

Results
7.0ms235×body80valid
1.0ms12×body640valid
1.0ms4×body1280valid
1.0ms18×body80invalid
0.0ms3×body320valid
0.0ms2×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune10.0ms

Filtered
1 candidates to 1 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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b
(+ (* d1 3.0) (* d1 d2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
5.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
3.0ms
(+ (* d1 3.0) (* d1 d2))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
6.0ms
(+ (* d1 3.0) (* d1 d2))

simplify113.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0187191
1787163
23595151
35001151

prune46.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh011
Picked011
Done000
Total30434

Merged error: 0.1b

Counts
34 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
8.0ms
(* d1 (+ (+ 3.0 d2) d3))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify86.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune46.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh112
Picked101
Done011
Total25631

Merged error: 0.0b

Counts
31 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
6.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
6.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
6.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
39.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
41.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
39.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03991042
11334970
25001906

prune213.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh134
Picked011
Done011
Total84690

Merged error: 0.0b

Counts
90 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.3b
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×associate-*r*
14×sqrt-div
11×add-sqr-sqrt sqrt-prod
10×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
6×distribute-lft-out
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative add-log-exp unswap-sqr
Counts
2 → 57
Calls
2 calls:
11.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
15.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
7.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0314517
11392443
25001431

prune77.0ms

Filtered
37 candidates to 63 candidates (-70.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New62163
Fresh123
Picked011
Done022
Total63669

Merged error: 0b

Counts
69 → 6

regimes250.0ms

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
0145
1145

end0.0ms

sample1.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 14.190674%

Guaranteed chance to sample good point: 76.107831%

Results
238.0ms7444×body80valid
24.0ms227×body640valid
19.0ms634×body80invalid
12.0ms90×body1280valid
12.0ms142×body320valid
6.0ms97×body160valid

Profiling

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