Details

Time bar (total: 1.8s)

sample24.0ms

Algorithm
intervals
Results
12.0ms350×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite11.0ms

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:
10.0ms
(/ (- (* x x) 3.0) 6.0)

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (- (* x x) 3.0) 6.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0175222
1562208
22205208
35001208

prune61.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New33437
Fresh000
Picked101
Done000
Total34438

Merged error: 0.0b

Counts
38 → 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:
7.0ms
(/ 6.0 (- (* x x) 3.0))
8.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 6.0 (- (* x x) 3.0))
5.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05031147
124801026
25001913

prune121.0ms

Filtered
73 candidates to 135 candidates (-84.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1332135
Fresh123
Picked011
Done000
Total1345139

Merged error: 0b

Counts
139 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
302×add-sqr-sqrt
256×add-cube-cbrt *-un-lft-identity
46×add-exp-log difference-of-squares
35×div-inv
34×div-exp
31×associate-/r/
22×associate-/r*
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 334
Calls
2 calls:
8.0ms
(/ 1 (- (* x x) 3.0))
14.0ms
(/ (/ 1 6.0) (/ 1 (- (* x x) 3.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1 (- (* x x) 3.0))
5.0ms
(/ (/ 1 6.0) (/ 1 (- (* x x) 3.0)))

simplify79.0ms

Algorithm
egg-herbie
Counts
340 → 340
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
016104164
150013670

prune354.0ms

Filtered
156 candidates to 340 candidates (-117.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3400340
Fresh033
Picked011
Done011
Total3405345

Merged error: 0b

Counts
345 → 5

localize7.0ms

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)))

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:
4.0ms
(- x (sqrt 3.0))
4.0ms
(+ x (sqrt 3.0))
13.0ms
(/ (+ 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:
4.0ms
(- x (sqrt 3.0))
3.0ms
(+ x (sqrt 3.0))
12.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
4.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05792326
128982165
250012148

prune331.0ms

Filtered
134 candidates to 221 candidates (-64.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2210221
Fresh022
Picked011
Done022
Total2215226

Merged error: 0b

Counts
226 → 5

regimes86.0ms

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

sample373.0ms

Algorithm
intervals
Results
214.0ms10680×body80valid

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