Details

Time bar (total: 2.4s)

sample20.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.3b
(/ (- (* x x) 3.0) 6.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt *-un-lft-identity
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 47
Calls
2 calls:
4.0ms
(- (* x x) 3.0)
6.0ms
(/ (- (* x x) 3.0) 6.0)

series9.0ms

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

simplify73.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0204285
1661264
22602264
35002264

prune130.0ms

Filtered
53 candidates to 41 candidates (22.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh000
Picked101
Done000
Total49554

Merged error: 0b

Counts
54 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))
0.3b
(/ 6.0 (- (* x x) 3.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
80×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
22×associate-/r*
17×difference-of-squares
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 142
Calls
3 calls:
4.0ms
(- (* x x) 3.0)
9.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms
(/ 6.0 (- (* x x) 3.0))

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x x) 3.0)
5.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
7.0ms
(/ 6.0 (- (* x x) 3.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05111210
124981082
25001969

prune363.0ms

Filtered
151 candidates to 83 candidates (45.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1510151
Fresh044
Picked011
Done000
Total1515156

Merged error: 0b

Counts
156 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* 0.16666666666666666 (pow x 2))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
7.0ms
(* 0.16666666666666666 (pow x 2))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* 0.16666666666666666 (pow x 2))

simplify71.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0107102
140487
2198887
3500286

prune48.0ms

Filtered
30 candidates to 18 candidates (40.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New30030
Fresh033
Picked011
Done011
Total30535

Merged error: 0b

Counts
35 → 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))))
8.0ms
(/ 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)))

simplify88.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05792326
128982165
250012148

prune878.0ms

Filtered
221 candidates to 134 candidates (39.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2210221
Fresh022
Picked011
Done022
Total2215226

Merged error: 0b

Counts
226 → 5

regimes97.0ms

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

sample385.0ms

Algorithm
intervals
Results
216.0ms10665×body80valid

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