Details

Time bar (total: 2.0s)

sample14.0ms

Algorithm
intervals
Results
7.0ms329×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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 1 expressions with local error:

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

rewrite10.0ms

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:
9.0ms
(/ (- (* x x) 3.0) 6.0)

series63.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (- (* x x) 3.0) 6.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0175222
1562208
22205208
35001208

prune67.0ms

Filtered
37 candidates to 30 candidates (81.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New32537
Fresh000
Picked101
Done000
Total33538

Merged error: 0b

Counts
38 → 5

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))

rewrite11.0ms

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)
6.0ms
(* 0.16666666666666666 (pow x 2))

series83.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- (* 0.16666666666666666 (pow x 2)) 0.5)
25.0ms
(* 0.16666666666666666 (pow x 2))

simplify94.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0155177
1527158
22579157
35002156

prune63.0ms

Filtered
45 candidates to 28 candidates (62.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44145
Fresh134
Picked101
Done000
Total46450

Merged error: 0b

Counts
50 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2))) 0.5)
0.2b
(* (sqrt 0.16666666666666666) (pow x 2))
0.2b
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
12×associate-*l*
10×prod-exp sqrt-prod add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity associate-*r*
8×unswap-sqr
5×pow1 unpow-prod-down add-log-exp
4×cbrt-unprod
3×unpow2 sqr-pow
2×pow-to-exp pow-exp *-commutative
1×sub-neg flip3-- diff-log pow-prod-down flip--
Counts
3 → 68
Calls
3 calls:
7.0ms
(- (* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2))) 0.5)
6.0ms
(* (sqrt 0.16666666666666666) (pow x 2))
7.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(- (* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2))) 0.5)
49.0ms
(* (sqrt 0.16666666666666666) (pow x 2))
73.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

simplify188.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (182.0ms)

IterNodesCost
0218432
1861358
24711347
35002343

prune102.0ms

Filtered
77 candidates to 46 candidates (59.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done000
Total77481

Merged error: 0b

Counts
81 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (sqrt 3.0))
0.0b
(+ x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
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))
3.0ms
(+ x (sqrt 3.0))
6.0ms
(/ (- x (sqrt 3.0)) 6.0)
13.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series306.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- x (sqrt 3.0))
33.0ms
(+ x (sqrt 3.0))
68.0ms
(/ (- x (sqrt 3.0)) 6.0)
159.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0350821
11627740
25002728

prune169.0ms

Filtered
127 candidates to 85 candidates (66.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done011
Total1274131

Merged error: 0b

Counts
131 → 4

regimes51.0ms

Accuracy

18% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch17.0ms

Steps
ItersRangePoint
5
6.771570878150582
14.503877078708994
6.981588112269515

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01918
11918

end0.0ms

sample363.0ms

Algorithm
intervals
Results
243.0ms10682×body80valid

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