Details

Time bar (total: 2.3s)

sample12.0ms

Algorithm
intervals
Results
6.0ms336×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

localize7.0ms

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)

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (- (* 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

prune73.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv expm1-log1p-u rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp difference-of-squares
Counts
1 → 43
Calls
1 calls:
17.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series68.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0261273
11129236
25002221

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
60×*-un-lft-identity
40×add-cube-cbrt
37×times-frac
22×associate-*r*
18×prod-diff
17×sqrt-prod
16×difference-of-squares
11×add-exp-log add-cbrt-cube
8×distribute-lft-out-- add-log-exp
6×pow1 associate-/l*
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×fma-def flip3-+ fma-neg 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 → 147
Calls
4 calls:
16.0ms
(/ (- x (sqrt 3.0)) 6.0)
3.0ms
(+ x (sqrt 3.0))
5.0ms
(- x (sqrt 3.0))
29.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series309.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (- x (sqrt 3.0)) 6.0)
40.0ms
(+ x (sqrt 3.0))
41.0ms
(- x (sqrt 3.0))
164.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04491171
12081954
25001928

prune256.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- 3.0) 3.0 (pow x 4))
0.1b
(* 6.0 (fma x x 3.0))
10.8b
(/ (fma (- 3.0) 3.0 (pow x 4)) (* 6.0 (fma x x 3.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×expm1-log1p-u times-frac associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma (- 3.0) 3.0 (pow x 4))
3.0ms
(* 6.0 (fma x x 3.0))
3.0ms
(/ (fma (- 3.0) 3.0 (pow x 4)) (* 6.0 (fma x x 3.0)))

series495.0ms

Counts
3 → 9
Calls
3 calls:
236.0ms
(fma (- 3.0) 3.0 (pow x 4))
69.0ms
(* 6.0 (fma x x 3.0))
190.0ms
(/ (fma (- 3.0) 3.0 (pow x 4)) (* 6.0 (fma x x 3.0)))

simplify116.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0182362
1770306
24496305
35001305

prune141.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes41.0ms

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
0114
1114

end0.0ms

sample298.0ms

Algorithm
intervals
Results
182.0ms10652×body80valid