Details

Time bar (total: 1.7s)

sample12.0ms

Algorithm
intervals
Results
6.0ms353×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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 expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
9.0ms
(/ (- (* x x) 3.0) 6.0)

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (- (* x x) 3.0) 6.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0182228
1585214
22311212
35001211

prune74.0ms

Filtered
39 candidates to 32 candidates (82.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

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)))

rewrite26.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 133
Calls
2 calls:
9.0ms
(/ 6.0 (- (* x x) 3.0))
10.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 6.0 (- (* x x) 3.0))
65.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05161159
125031036
25001934

prune337.0ms

Filtered
139 candidates to 79 candidates (56.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
6.0ms
(* 0.16666666666666666 (pow x 2))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* 0.16666666666666666 (pow x 2))

simplify75.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0109108
140893
2200293
3500192

prune54.0ms

Filtered
32 candidates to 20 candidates (62.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
0.2b
(* (sqrt 0.16666666666666666) (pow x 2))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-exp-log
12×associate-*l*
10×prod-exp sqrt-prod
9×associate-*r* add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity unswap-sqr
5×unpow-prod-down
4×pow1 cbrt-unprod
3×unpow2 sqr-pow
2×expm1-log1p-u pow-to-exp pow-exp *-commutative log1p-expm1-u add-log-exp
1×pow-prod-down
Counts
2 → 60
Calls
2 calls:
12.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
10.0ms
(* (sqrt 0.16666666666666666) (pow x 2))

series114.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
44.0ms
(* (sqrt 0.16666666666666666) (pow x 2))

simplify150.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0172338
1773279
23955264
35002264

prune102.0ms

Filtered
66 candidates to 38 candidates (57.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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
063

end0.0ms

sample286.0ms

Algorithm
intervals
Results
174.0ms10643×body80valid