Details

Time bar (total: 2.2s)

sample11.0ms

Algorithm
intervals
Results
5.0ms330×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)

simplify69.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0182228
1585214
22311212
35001211

prune69.0ms

Filtered
39 candidates to 32 candidates (82.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite10.0ms

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:
9.0ms
(* 0.16666666666666666 (pow x 2))

series24.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0109114
143893
2200993
3500192

prune50.0ms

Filtered
32 candidates to 20 candidates (62.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(/ (- x (sqrt 3.0)) 6.0)
0.0b
(- x (sqrt 3.0))
0.7b
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite61.0ms

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:
4.0ms
(+ x (sqrt 3.0))
13.0ms
(/ (- x (sqrt 3.0)) 6.0)
5.0ms
(- x (sqrt 3.0))
34.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series305.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ x (sqrt 3.0))
68.0ms
(/ (- x (sqrt 3.0)) 6.0)
39.0ms
(- x (sqrt 3.0))
157.0ms
(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04491171
12081954
25001928

prune252.0ms

Filtered
159 candidates to 103 candidates (64.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (sqrt 3.0))
0.0b
(- x (sqrt 3.0))
0.1b
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
0.6b
(/ 6.0 (- x (sqrt 3.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
196×*-un-lft-identity
184×add-sqr-sqrt
104×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
29×sqrt-prod
26×distribute-lft-out
20×distribute-lft-out--
18×prod-diff
13×associate-/r/
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×fma-def fma-neg
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 241
Calls
4 calls:
4.0ms
(+ x (sqrt 3.0))
5.0ms
(- x (sqrt 3.0))
21.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
7.0ms
(/ 6.0 (- x (sqrt 3.0)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (sqrt 3.0))
45.0ms
(- x (sqrt 3.0))
155.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
65.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify94.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06812672
133412364
250022346

prune387.0ms

Filtered
253 candidates to 152 candidates (60.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

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
083
183

end0.0ms

sample299.0ms

Algorithm
intervals
Results
183.0ms10694×body80valid