Details

Time bar (total: 2.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

prune3.0ms

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: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* 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)
5.0ms
(/ (- (* x x) 3.0) 6.0)

simplify78.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0204285
1661264
22602264
35002264

prune124.0ms

Filtered
53 candidates to 41 candidates (22.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New51253
Fresh000
Picked101
Done000
Total52254

Merged error: 0.0b

Counts
54 → 2

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))

series8.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (* 0.16666666666666666 (pow x 2)) 0.5)
3.0ms
(* 0.16666666666666666 (pow x 2))

simplify92.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0155177
1527158
22579157
35002156

prune81.0ms

Filtered
45 candidates to 28 candidates (37.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New44145
Fresh011
Picked011
Done000
Total44347

Merged error: 0b

Counts
47 → 3

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666))) 0.5)
0.2b
(* x (sqrt 0.16666666666666666))
0.2b
(* x (sqrt 0.16666666666666666))
0.3b
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt pow-prod-down
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod
7×associate-*l*
6×add-log-exp
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus
1×pow2 sub-neg flip3-- diff-log swap-sqr flip-- difference-of-squares
Counts
4 → 91
Calls
4 calls:
11.0ms
(- (* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666))) 0.5)
5.0ms
(* x (sqrt 0.16666666666666666))
5.0ms
(* x (sqrt 0.16666666666666666))
8.0ms
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666))) 0.5)
4.0ms
(* x (sqrt 0.16666666666666666))
4.0ms
(* x (sqrt 0.16666666666666666))
7.0ms
(* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666)))

simplify163.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0193439
1814357
24367347
35001347

prune182.0ms

Filtered
103 candidates to 52 candidates (49.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done011
Total1033106

Merged error: 0b

Counts
106 → 3

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)))

rewrite36.0ms

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

series27.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
16.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
4.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify84.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05792326
128982165
250012148

prune1.1s

Filtered
221 candidates to 134 candidates (39.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2210221
Fresh000
Picked011
Done022
Total2213224

Merged error: 0b

Counts
224 → 3

regimes29.0ms

Accuracy

0% (0.1b 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

sample375.0ms

Algorithm
intervals
Results
209.0ms10722×body80valid

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