Details

Time bar (total: 1.5s)

sample14.0ms

Algorithm
intervals
Results
7.0ms335×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 1 expressions with local error:

0.3b
(/ (- (* 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)

series6.0ms

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

simplify61.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0175222
1562208
22205208
35001208

prune64.0ms

Filtered
37 candidates to 30 candidates (18.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338

Merged error: 0b

Counts
38 → 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))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite37.0ms

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:
7.0ms
(+ 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)))

simplify84.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05792326
128982165
250012148

prune367.0ms

Filtered
221 candidates to 134 candidates (39.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2210221
Fresh011
Picked011
Done011
Total2213224

Merged error: 0b

Counts
224 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(- x (sqrt 3.0))
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×*-un-lft-identity
37×times-frac
26×add-cube-cbrt
22×associate-*r*
16×difference-of-squares
11×add-exp-log add-cbrt-cube
8×sqrt-prod distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×associate-*l*
3×flip3-+ associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 115
Calls
4 calls:
4.0ms
(+ x (sqrt 3.0))
6.0ms
(/ (- x (sqrt 3.0)) 6.0)
4.0ms
(- x (sqrt 3.0))
13.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series25.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (sqrt 3.0))
5.0ms
(/ (- x (sqrt 3.0)) 6.0)
4.0ms
(- x (sqrt 3.0))
13.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0350821
11627740
25002728

prune190.0ms

Filtered
127 candidates to 85 candidates (33.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done022
Total1273130

Merged error: 0b

Counts
130 → 3

regimes103.0ms

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

sample390.0ms

Algorithm
intervals
Results
230.0ms10660×body80valid

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