Details

Time bar (total: 1.1s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 24.975616%

Guaranteed chance to sample good point: 99.991869%

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1414
2694
3904
41054
51474
62264
73684
84154
94154

prune2.0ms

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
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ 0.253 (* x 0.12))
5.0ms
(* x (+ 0.253 (* x 0.12)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ 0.253 (* x 0.12))
6.0ms
(* x (+ 0.253 (* x 0.12)))

simplify110.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0166173
1767154
24026154
35002154

prune66.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New31839
Fresh000
Picked101
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.253) (* x (* x 0.12)))
0.2b
(* x (* x 0.12))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 30
Calls
2 calls:
3.0ms
(+ (* x 0.253) (* x (* x 0.12)))
5.0ms
(* x (* x 0.12))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x 0.253) (* x (* x 0.12)))
3.0ms
(* x (* x 0.12))

simplify90.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0166160
1675137
22995134
35001133

prune42.0ms

Filtered
21 candidates to 36 candidates (-71.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35136
Fresh437
Picked011
Done000
Total39544

Merged error: 0b

Counts
44 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.253) (* (pow x 2) 0.12))
0.2b
(* (pow x 2) 0.12)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
3.0ms
(+ (* x 0.253) (* (pow x 2) 0.12))
5.0ms
(* (pow x 2) 0.12)

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x 0.253) (* (pow x 2) 0.12))
3.0ms
(* (pow x 2) 0.12)

simplify174.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (169.0ms)

IterNodesCost
0178194
1665174
24106168
35002166

prune57.0ms

Filtered
30 candidates to 44 candidates (-46.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New43144
Fresh213
Picked011
Done011
Total45449

Merged error: 0b

Counts
49 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
0.2b
(* (sqrt 0.12) x)
0.2b
(* (sqrt 0.12) x)
0.4b
(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×pow-prod-down
18×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod
7×associate-*r*
6×add-log-exp
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus
1×+-commutative pow2 flip3-+ swap-sqr sum-log flip-+
Counts
4 → 89
Calls
4 calls:
4.0ms
(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
7.0ms
(* (sqrt 0.12) x)
5.0ms
(* (sqrt 0.12) x)
9.0ms
(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x 0.253) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
4.0ms
(* (sqrt 0.12) x)
4.0ms
(* (sqrt 0.12) x)
7.0ms
(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0211424
11004353
25002345

prune100.0ms

Filtered
53 candidates to 101 candidates (-90.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done022
Total1014105

Merged error: 0b

Counts
105 → 4

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

analyze5.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 24.975616%

Guaranteed chance to sample good point: 99.991869%

sample259.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid

Profiling

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