Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
8.0ms391×body80valid

simplify234.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1354
2894
31574
41704
51864
62444
74424
813894
947614
1050014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
14.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0216252
1984214
25002203

prune74.0ms

Filtered
36 candidates to 20 candidates (55.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b
(* (* x x) 3.0)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
5×unswap-sqr
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 72
Calls
3 calls:
7.0ms
(* 2.0 (pow x 3))
9.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
8.0ms
(* (* x x) 3.0)

series185.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* 2.0 (pow x 3))
109.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
29.0ms
(* (* x x) 3.0)

simplify73.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0305350
11570308
25001301

prune198.0ms

Filtered
81 candidates to 55 candidates (67.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.1b
(fma (* x x) 3.0 (- (* 2.0 (pow x 3))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
7.0ms
(* 2.0 (pow x 3))
0.0ms
(fma (* x x) 3.0 (- (* 2.0 (pow x 3))))

series147.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* 2.0 (pow x 3))
110.0ms
(fma (* x x) 3.0 (- (* 2.0 (pow x 3))))

simplify212.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0151210
1627185
24409182
35002182

prune113.0ms

Filtered
49 candidates to 32 candidates (65.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- 3.0 (* x 2.0)))
0.1b
(* x (* x (- 3.0 (* x 2.0))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×prod-diff
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*l*
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×unswap-sqr
Counts
2 → 74
Calls
2 calls:
8.0ms
(* x (- 3.0 (* x 2.0)))
14.0ms
(* x (* x (- 3.0 (* x 2.0))))

series151.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* x (- 3.0 (* x 2.0)))
77.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0248535
11174460
25001440

prune106.0ms

Filtered
80 candidates to 38 candidates (47.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1165
2165

end0.0ms

sample369.0ms

Algorithm
intervals
Results
233.0ms11897×body80valid