Details

Time bar (total: 1.5s)

analyze4.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 25.128129%

Guaranteed chance to sample good point: 99.991852%

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0266
1556
21226
32056
42535
53075
63635
74985
89115
911875
1011885
1111885

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
0.1b
(* x (- (* x 3.0) 4.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-*r/
3×distribute-rgt-in sub-neg distribute-lft-in
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
4.0ms
(- (* x 3.0) 4.0)
5.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
6.0ms
(* x (- (* x 3.0) 4.0))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x 3.0) 4.0)
3.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
5.0ms
(* x (- (* x 3.0) 4.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0267361
11213324
25002323

prune97.0ms

Filtered
44 candidates to 67 candidates (-52.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New59867
Fresh000
Picked101
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b
(* 9.0 (pow x 2))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 diff-log unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 41
Calls
2 calls:
7.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms
(* 9.0 (pow x 2))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
3.0ms
(* 9.0 (pow x 2))

simplify149.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (145.0ms)

IterNodesCost
0193233
1766207
24099201
35003200

prune67.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New45247
Fresh437
Picked101
Done000
Total50555

Merged error: 0b

Counts
55 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x 9.0) 12.0)
0.1b
(* x (- (* x 9.0) 12.0))

rewrite10.0ms

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×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- (* x 9.0) 12.0)
6.0ms
(* x (- (* x 9.0) 12.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- (* x 9.0) 12.0)
5.0ms
(* x (- (* x 9.0) 12.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0137189
1560167
22720166
35001166

prune50.0ms

Filtered
27 candidates to 42 candidates (-55.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh134
Picked011
Done000
Total42547

Merged error: 0b

Counts
47 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×associate-*r/
7×distribute-rgt-in distribute-lft-in associate-*r*
6×add-log-exp
4×cbrt-prod
3×sub-neg *-commutative unswap-sqr
2×flip3-- flip3-+ flip-- flip-+
1×diff-log
Counts
4 → 90
Calls
4 calls:
4.0ms
(- (* x 3.0) 4.0)
11.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
6.0ms
(* x (- (* x 3.0) 4.0))
196.0ms
(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (* x 3.0) 4.0)
6.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
6.0ms
(* x (- (* x 3.0) 4.0))
5.0ms
(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0418846
11962682
25003616

prune140.0ms

Filtered
62 candidates to 102 candidates (-64.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh033
Picked011
Done011
Total1025107

Merged error: 0b

Counts
107 → 5

regimes31.0ms

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
0114
1114

end0.0ms

analyze6.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 25.128129%

Guaranteed chance to sample good point: 99.991852%

sample316.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid

Profiling

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