Details

Time bar (total: 2.8s)

sample13.0ms

Algorithm
intervals
Results
7.0ms330×body80valid

simplify9.0ms

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 (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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt *-un-lft-identity
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 47
Calls
2 calls:
7.0ms
(- (* x x) 3.0)
10.0ms
(/ (- (* x x) 3.0) 6.0)

series124.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x x) 3.0)
83.0ms
(/ (- (* x x) 3.0) 6.0)

simplify74.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204285
1661264
22602264
35002264

prune74.0ms

Filtered
53 candidates to 41 candidates (77.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454

Merged error: 0b

Counts
54 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 3.0)
0.1b
(/ 6.0 (- (* x x) 3.0))
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
80×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
22×associate-/r*
17×difference-of-squares
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 142
Calls
3 calls:
4.0ms
(- (* x x) 3.0)
6.0ms
(/ 6.0 (- (* x x) 3.0))
9.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series159.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x x) 3.0)
53.0ms
(/ 6.0 (- (* x x) 3.0))
67.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05111210
124981082
25001969

prune152.0ms

Filtered
151 candidates to 84 candidates (55.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1510151
Fresh022
Picked011
Done011
Total1514155

Merged error: 0b

Counts
155 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
0.1b
(cbrt (- (* x x) 3.0))
0.1b
(cbrt (- (* x x) 3.0))
0.1b
(cbrt (- (* x x) 3.0))

rewrite27.0ms

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:
12.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))
4.0ms
(cbrt (- (* x x) 3.0))

series784.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt (- (* x x) 3.0)) (cbrt (- (* x x) 3.0)))
185.0ms
(cbrt (- (* x x) 3.0))
187.0ms
(cbrt (- (* x x) 3.0))
196.0ms
(cbrt (- (* x x) 3.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0335957
11207905
25001853

prune222.0ms

Filtered
105 candidates to 81 candidates (77.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done022
Total1054109

Merged error: 0b

Counts
109 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(+ x (sqrt 3.0))
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:
6.0ms
(/ (- x (sqrt 3.0)) 6.0)
4.0ms
(+ x (sqrt 3.0))
4.0ms
(- x (sqrt 3.0))
13.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series317.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ (- x (sqrt 3.0)) 6.0)
34.0ms
(+ x (sqrt 3.0))
46.0ms
(- x (sqrt 3.0))
163.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0350821
11627740
25002728

prune166.0ms

Filtered
127 candidates to 85 candidates (66.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1270127
Fresh000
Picked011
Done033
Total1274131

Merged error: 0b

Counts
131 → 4

regimes47.0ms

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

sample351.0ms

Algorithm
intervals
Results
232.0ms10658×body80valid

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