Details

Time bar (total: 1.9s)

sample14.0ms

Algorithm
intervals
Results
7.0ms342×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

prune1.0ms

Filtered
1 candidates to 0 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 → 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)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (- (* x x) 3.0) 6.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0175222
1562208
22205208
35001208

prune63.0ms

Filtered
37 candidates to 30 candidates (81.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New33437
Fresh000
Picked101
Done000
Total34438

Merged error: 0b

Counts
38 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 0.16666666666666666 (pow x 2)) 0.5)
0.2b
(* 0.16666666666666666 (pow x 2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
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-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 39
Calls
2 calls:
4.0ms
(- (* 0.16666666666666666 (pow x 2)) 0.5)
5.0ms
(* 0.16666666666666666 (pow x 2))

series80.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* 0.16666666666666666 (pow x 2)) 0.5)
24.0ms
(* 0.16666666666666666 (pow x 2))

simplify94.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0155177
1527158
22579157
35002156

prune56.0ms

Filtered
45 candidates to 28 candidates (62.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45045
Fresh033
Picked011
Done000
Total45449

Merged error: 0b

Counts
49 → 4

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)))

rewrite20.0ms

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))
9.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 6.0 (- (* x x) 3.0))
65.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05031147
124801026
25001913

prune127.0ms

Filtered
135 candidates to 72 candidates (53.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done011
Total1354139

Merged error: 0b

Counts
139 → 4

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))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite40.0ms

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:
4.0ms
(- x (sqrt 3.0))
4.0ms
(+ x (sqrt 3.0))
13.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
6.0ms
(/ 6.0 (- x (sqrt 3.0)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- x (sqrt 3.0))
39.0ms
(+ x (sqrt 3.0))
160.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
62.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify88.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05792326
128982165
250012148

prune279.0ms

Filtered
221 candidates to 134 candidates (60.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2210221
Fresh011
Picked011
Done022
Total2214225

Merged error: 0b

Counts
225 → 4

regimes38.0ms

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
083
183

end0.0ms

sample340.0ms

Algorithm
intervals
Results
224.0ms10706×body80valid

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