Details

Time bar (total: 1.2s)

analyze3.0ms

Algorithm
search

sample11.0ms

Algorithm
intervals
Results
6.0ms256×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 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)

simplify79.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204285
1661264
22602264
35002264

prune81.0ms

Filtered
41 candidates to 53 candidates (-29.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh000
Picked011
Done000
Total48654

Merged error: 0.0b

Counts
54 → 6

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

prune57.0ms

Filtered
28 candidates to 45 candidates (-60.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New43245
Fresh314
Picked011
Done011
Total46551

Merged error: 0.0b

Counts
51 → 5

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip--
Counts
2 → 30
Calls
2 calls:
4.0ms
(- (* (* x 0.16666666666666666) x) 0.5)
6.0ms
(* (* x 0.16666666666666666) x)

series8.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0144147
1564130
22942128
35002127

prune32.0ms

Filtered
20 candidates to 36 candidates (-80.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New36036
Fresh022
Picked011
Done022
Total36541

Merged error: 0.0b

Counts
41 → 5

localize6.0ms

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:
8.0ms
(- (* (* x (sqrt 0.16666666666666666)) (* x (sqrt 0.16666666666666666))) 0.5)
7.0ms
(* 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)))

simplify166.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0193439
1814357
24367347
35001347

prune95.0ms

Filtered
52 candidates to 103 candidates (-98.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done033
Total1035108

Merged error: 0.0b

Counts
108 → 5

regimes127.0ms

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
063

end0.0ms

analyze3.0ms

Algorithm
search

sample288.0ms

Algorithm
intervals
Results
196.0ms8000×body80valid

Profiling

Loading profile data...