Details

Time bar (total: 2.1s)

sample14.0ms

Algorithm
intervals
Results
7.0ms393×body80valid

simplify189.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
12.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify31.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0216252
1984214
25002203

prune57.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sum-log log1p-expm1-u
1×+-commutative neg-sub0 associate-+r- fma-def flip3-+ associate-*l* unsub-neg neg-log *-commutative flip-+ unswap-sqr
Counts
2 → 39
Calls
2 calls:
202.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
7.0ms
(* (* x x) 3.0)

series119.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
24.0ms
(* (* x x) 3.0)

simplify41.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0204229
11021204
25001195

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sum-log log1p-expm1-u
1×+-commutative neg-sub0 associate-+r- fma-def flip3-+ associate-*r* unsub-neg neg-log *-commutative flip-+
Counts
2 → 38
Calls
2 calls:
6.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
6.0ms
(* x (* x 3.0))

series120.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
27.0ms
(* x (* x 3.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0193225
1931201
25001191

prune91.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
0.3b
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
0.3b
(* x (sqrt 3.0))
0.3b
(* x (sqrt 3.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×pow-prod-down
18×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod add-log-exp
7×associate-*l*
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u unswap-sqr
3×*-commutative
2×pow-plus sum-log
1×+-commutative pow2 neg-sub0 associate-+r- fma-def flip3-+ swap-sqr unsub-neg neg-log flip-+
Counts
4 → 102
Calls
4 calls:
15.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
15.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
4.0ms
(* x (sqrt 3.0))
4.0ms
(* x (sqrt 3.0))

series290.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(+ (* (* x (sqrt 3.0)) (* x (sqrt 3.0))) (- (* 2.0 (pow x 3))))
66.0ms
(* (* x (sqrt 3.0)) (* x (sqrt 3.0)))
42.0ms
(* x (sqrt 3.0))
42.0ms
(* x (sqrt 3.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0249535
11300430
25001410

prune191.0ms

Pruning

5 alts after pruning (2 fresh and 3 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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1196
2196

end0.0ms

sample360.0ms

Algorithm
intervals
Results
229.0ms12039×body80valid