Details

Time bar (total: 1.9s)

sample22.0ms

Algorithm
intervals
Results
15.0ms351×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1173
2213
3233
4243
5243

prune1.0ms

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)

series67.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0182228
1585214
22311212
35001211

prune70.0ms

Pruning

4 alts after pruning (4 fresh and 0 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)))

rewrite25.0ms

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:
6.0ms
(/ 6.0 (- (* x x) 3.0))
10.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ 6.0 (- (* x x) 3.0))
62.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05161159
125031036
25001934

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

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)

series67.0ms

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

simplify67.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0182228
1585214
22311212
35001211

prune71.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
37×add-sqr-sqrt
29×times-frac
24×*-un-lft-identity
23×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
18×associate-*r*
16×prod-exp
10×rec-exp 1-exp
9×pow1
7×difference-of-squares
6×cbrt-undiv associate-/r/ associate-/l*
5×associate-/r*
4×cbrt-unprod
3×expm1-log1p-u pow-flip associate-*l* log1p-expm1-u div-inv add-log-exp unswap-sqr
2×flip3-- frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv flip-- inv-pow
1×*-commutative
Counts
3 → 124
Calls
3 calls:
7.0ms
(/ 1 (- (* x x) 3.0))
17.0ms
(/ 1 (* 6.0 (/ 1 (- (* x x) 3.0))))
18.0ms
(* 6.0 (/ 1 (- (* x x) 3.0)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ 1 (- (* x x) 3.0))
67.0ms
(/ 1 (* 6.0 (/ 1 (- (* x x) 3.0))))
49.0ms
(* 6.0 (/ 1 (- (* x x) 3.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0471794
12166655
25001611

prune176.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
1133
2133

end0.0ms

sample513.0ms

Algorithm
intervals
Results
397.0ms10752×body80valid