Details

Time bar (total: 1.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms352×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1163
2203
3213
4213

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)

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)

simplify66.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0175222
1562208
22219208
35001208

prune72.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* 0.16666666666666666 (pow x 2))

rewrite6.0ms

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 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
5.0ms
(* 0.16666666666666666 (pow x 2))

series25.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0107102
140487
2198887
3500286

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
0.2b
(* (sqrt 0.16666666666666666) (pow x 2))

rewrite15.0ms

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×pow-to-exp pow-exp *-commutative add-log-exp
1×pow-prod-down
Counts
2 → 56
Calls
2 calls:
7.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
6.0ms
(* (sqrt 0.16666666666666666) (pow x 2))

series119.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
47.0ms
(* (sqrt 0.16666666666666666) (pow x 2))

simplify153.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (148.0ms)

IterNodesCost
0168308
1717259
23907249
35001248

prune102.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 129
Calls
2 calls:
9.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms
(/ 6.0 (- (* x x) 3.0))

series121.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))
53.0ms
(/ 6.0 (- (* x x) 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05031149
124801028
25001915

prune170.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b 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
083
183

end0.0ms

sample309.0ms

Algorithm
intervals
Results
194.0ms10578×body80valid