Details

Time bar (total: 1.4s)

sample14.0ms

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

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)

simplify61.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0175222
1562208
22205208
35001208

prune63.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
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)))

rewrite19.0ms

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 (44.0ms)

IterNodesCost
05031147
124801026
25001913

prune119.0ms

Filtered
72 candidates to 135 candidates (-87.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh033
Picked011
Done011
Total1355140

Merged error: 0b

Counts
140 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite10.0ms

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:
9.0ms
(* 0.16666666666666666 (pow x 2))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* 0.16666666666666666 (pow x 2))

simplify98.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0107102
140487
2198887
3500286

prune36.0ms

Filtered
18 candidates to 30 candidates (-66.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New30030
Fresh022
Picked011
Done022
Total30535

Merged error: 0b

Counts
35 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(cbrt (- (* x x) 3.0))
0.2b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))
12.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(cbrt (- (* x x) 3.0))
12.0ms
(cbrt (- (* x x) 3.0))
12.0ms
(cbrt (- (* x x) 3.0))
15.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03721093
113571041
25001989

prune219.0ms

Filtered
81 candidates to 105 candidates (-29.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done033
Total1055110

Merged error: 0b

Counts
110 → 5

regimes122.0ms

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

sample378.0ms

Algorithm
intervals
Results
219.0ms10641×body80valid

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