Details

Time bar (total: 1.5s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14

sample14.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
6.0ms
(/ (- (* x x) 3.0) 6.0)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (- (* x x) 3.0) 6.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0175222
1562208
22205208
35001208

prune63.0ms

Filtered
30 candidates to 37 candidates (-23.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New32537
Fresh000
Picked101
Done000
Total33538

Merged error: 0b

Counts
38 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 6.0 (- (* x x) 3.0))
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
5.0ms
(/ 6.0 (- (* x x) 3.0))
8.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 6.0 (- (* x x) 3.0))
5.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05031147
124801026
25001913

prune124.0ms

Filtered
73 candidates to 135 candidates (-84.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1341135
Fresh134
Picked011
Done000
Total1355140

Merged error: 0b

Counts
140 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(- x (sqrt 3.0))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.7b
(/ 6.0 (- x (sqrt 3.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
182×*-un-lft-identity
170×add-sqr-sqrt
90×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
26×distribute-lft-out
20×sqrt-prod distribute-lft-out--
13×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 209
Calls
4 calls:
3.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
12.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
6.0ms
(/ 6.0 (- x (sqrt 3.0)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
12.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
4.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify81.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05792326
128982165
250012148

prune346.0ms

Filtered
134 candidates to 221 candidates (-64.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2210221
Fresh033
Picked011
Done011
Total2215226

Merged error: 0b

Counts
226 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(- x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-exp-log add-cbrt-cube
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×flip3-+ associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 115
Calls
4 calls:
3.0ms
(+ x (sqrt 3.0))
6.0ms
(- x (sqrt 3.0))
6.0ms
(/ (- x (sqrt 3.0)) 6.0)
13.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series25.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
5.0ms
(/ (- x (sqrt 3.0)) 6.0)
13.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0350821
11627740
25002728

prune175.0ms

Filtered
85 candidates to 127 candidates (-49.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done022
Total1275132

Merged error: 0b

Counts
132 → 5

regimes116.0ms

Accuracy

0% (0.2b 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
0104
1104

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14

sample251.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid

Profiling

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