Details

Time bar (total: 1.7s)

sample13.0ms

Algorithm
intervals
Results
7.0ms342×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: 0.3b

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)

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- (* x x) 3.0) 6.0)

simplify65.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0175222
1562208
22205208
35001208

prune61.0ms

Filtered
37 candidates to 30 candidates (81.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New34337
Fresh000
Picked101
Done000
Total35338

Merged error: 0.0b

Counts
38 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* x x) 6.0) (/ 3.0 6.0))
0.3b
(/ (* x x) 6.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
7×add-exp-log times-frac add-cbrt-cube
6×*-un-lft-identity
4×add-cube-cbrt add-log-exp difference-of-squares
3×associate-/r* div-inv
2×pow1 cbrt-undiv div-exp
1×sub-neg flip3-- distribute-rgt-out-- frac-2neg diff-log prod-exp clear-num frac-sub flip-- cbrt-unprod associate-/l* distribute-lft-out-- sub-div
Counts
2 → 41
Calls
2 calls:
9.0ms
(- (/ (* x x) 6.0) (/ 3.0 6.0))
7.0ms
(/ (* x x) 6.0)

series83.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- (/ (* x x) 6.0) (/ 3.0 6.0))
25.0ms
(/ (* x x) 6.0)

simplify82.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0202240
1708220
22808219
35002219

prune62.0ms

Filtered
47 candidates to 36 candidates (76.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh022
Picked011
Done000
Total46450

Merged error: 0b

Counts
50 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 6.0 (- (pow x 2) 3.0))
0.3b
(/ (* 6.0 (- (pow x 2) 3.0)) (* 6.0 6.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
8×associate-*r*
6×*-un-lft-identity
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp difference-of-squares
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip-- associate-/l/ add-log-exp
1×unpow-prod-down frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- unpow2 unswap-sqr sqr-pow
Counts
2 → 52
Calls
2 calls:
8.0ms
(* 6.0 (- (pow x 2) 3.0))
10.0ms
(/ (* 6.0 (- (pow x 2) 3.0)) (* 6.0 6.0))

series130.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* 6.0 (- (pow x 2) 3.0))
66.0ms
(/ (* 6.0 (- (pow x 2) 3.0)) (* 6.0 6.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0298338
11463253
25002242

prune77.0ms

Filtered
58 candidates to 37 candidates (63.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done011
Total58462

Merged error: 0b

Counts
62 → 4

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))

rewrite30.0ms

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:
3.0ms
(+ 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))

series296.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (sqrt 3.0))
65.0ms
(/ (- x (sqrt 3.0)) 6.0)
43.0ms
(- x (sqrt 3.0))
154.0ms
(* (+ 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

prune176.0ms

Filtered
127 candidates to 85 candidates (66.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done022
Total1274131

Merged error: 0b

Counts
131 → 4

regimes38.0ms

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
074

end0.0ms

sample319.0ms

Algorithm
intervals
Results
208.0ms10608×body80valid

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