Details

Time bar (total: 2.6s)

sample23.0ms

Algorithm
intervals
Results
16.0ms327×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)

rewrite11.0ms

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

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 0.16666666666666666 (pow x 2))

rewrite7.0ms

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))

simplify73.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0109108
140893
2200293
3500192

prune52.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

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)))

rewrite53.0ms

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))
22.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
10.0ms
(/ 6.0 (- x (sqrt 3.0)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ x (sqrt 3.0))
40.0ms
(- x (sqrt 3.0))
160.0ms
(/ (+ x (sqrt 3.0)) (/ 6.0 (- x (sqrt 3.0))))
68.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify97.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06812672
133412364
250022346

prune396.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 6.0 (- (pow x 2) 3.0))
0.1b
(/ 1 (/ 6.0 (- (pow x 2) 3.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
190×add-sqr-sqrt
126×*-un-lft-identity
94×add-cube-cbrt
64×difference-of-squares
38×associate-/r*
16×unpow-prod-down distribute-lft-out-- unpow2 sqr-pow
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 → 197
Calls
2 calls:
11.0ms
(/ 6.0 (- (pow x 2) 3.0))
21.0ms
(/ 1 (/ 6.0 (- (pow x 2) 3.0)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 6.0 (- (pow x 2) 3.0))
68.0ms
(/ 1 (/ 6.0 (- (pow x 2) 3.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06831809
131491573
250021416

prune235.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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
063

end0.0ms

sample806.0ms

Algorithm
intervals
Results
673.0ms10585×body80valid