Details

Time bar (total: 1.4s)

analyze8.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06211
16211

prune7.0ms

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 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
6×associate-*r* associate-*l*
5×sub-neg
4×associate-*r/
3×distribute-rgt-in distribute-lft-in
2×associate-+l+ flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
1×+-commutative diff-log sum-log
Counts
4 → 68
Calls
4 calls:
7.0ms
(+ (* x (- (* 3.0 x) 4.0)) 1.0)
4.0ms
(- (* 3.0 x) 4.0)
9.0ms
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))
6.0ms
(* x (- (* 3.0 x) 4.0))

series16.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04970840
14970840

prune130.0ms

Filtered
60 candidates to 80 candidates (-33.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh101
Picked011
Done000
Total74882

Merged error: 0.0b

Counts
82 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 3.0 (* x (- (* x 9.0) 12.0)))
0.1b
(* x (- (* x 9.0) 12.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
3.0ms
(+ 3.0 (* x (- (* x 9.0) 12.0)))
7.0ms
(* x (- (* x 9.0) 12.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ 3.0 (* x (- (* x 9.0) 12.0)))
6.0ms
(* x (- (* x 9.0) 12.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05657413

prune66.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New39241
Fresh246
Picked011
Done011
Total41849

Merged error: 0.0b

Counts
49 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0)))
0.1b
(* x (- (* x 3.0) 4.0))
0.2b
(* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*r* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×add-log-exp
4×cbrt-prod associate-*r/ associate-*l/
3×sub-neg *-commutative unswap-sqr
2×flip3-- flip3-+ flip-- flip-+
1×distribute-rgt-in distribute-lft-in diff-log
Counts
4 → 81
Calls
4 calls:
4.0ms
(- (* x 3.0) 4.0)
15.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0)))
7.0ms
(* x (- (* x 3.0) 4.0))
13.0ms
(* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0))

series21.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049541052
149541052

prune163.0ms

Filtered
58 candidates to 93 candidates (-60.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh145
Picked011
Done022
Total938101

Merged error: 0b

Counts
101 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- (* x 3.0) 4.0))) (cbrt (* x (- (* x 3.0) 4.0))))
0.6b
(cbrt (* x (- (* x 3.0) 4.0)))
0.6b
(cbrt (* x (- (* x 3.0) 4.0)))
0.6b
(cbrt (* x (- (* x 3.0) 4.0)))

rewrite25.0ms

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 (* x (- (* x 3.0) 4.0))) (cbrt (* x (- (* x 3.0) 4.0))))
5.0ms
(cbrt (* x (- (* x 3.0) 4.0)))
5.0ms
(cbrt (* x (- (* x 3.0) 4.0)))
5.0ms
(cbrt (* x (- (* x 3.0) 4.0)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (cbrt (* x (- (* x 3.0) 4.0))) (cbrt (* x (- (* x 3.0) 4.0))))
13.0ms
(cbrt (* x (- (* x 3.0) 4.0)))
10.0ms
(cbrt (* x (- (* x 3.0) 4.0)))
10.0ms
(cbrt (* x (- (* x 3.0) 4.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
051971340

prune202.0ms

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

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done033
Total84892

Merged error: 0b

Counts
92 → 8

regimes49.0ms

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
0119
1119

end0.0ms

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample335.0ms

Algorithm
intervals
Results
249.0ms8000×body80valid
0.0ms2×body80invalid

Profiling

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