Details

Time bar (total: 1.7s)

sample20.0ms

Algorithm
intervals
Results
14.0ms352×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: 0.4b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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)

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (- (* 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

prune75.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* 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 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))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* 0.16666666666666666 (pow x 2))

simplify71.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0109108
140893
2200293
3500192

prune56.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
9×prod-exp
7×associate-*r*
6×add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity cbrt-unprod
2×pow-to-exp pow-exp
1×pow1 expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp sqr-pow
Counts
1 → 26
Calls
1 calls:
8.0ms
(* (* x 0.16666666666666666) (pow x (/ 2 2)))

series25.0ms

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

simplify216.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 3 (212.0ms)

IterNodesCost
0154113
165497
2439394
3500287

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
0.4b
(* (sqrt 0.16666666666666666) (pow x 2))

rewrite21.0ms

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)))
8.0ms
(* (sqrt 0.16666666666666666) (pow x 2))

series119.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))
48.0ms
(* (sqrt 0.16666666666666666) (pow x 2))

simplify152.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0172328
1723279
23928264
35002264

prune107.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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
0134
1164
2164

end0.0ms

sample525.0ms

Algorithm
intervals
Results
404.0ms10577×body80valid