Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
9.0ms385×body80valid

simplify208.0ms

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

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)))

rewrite32.0ms

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:
31.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0216252
1984214
25002203

prune78.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))))

rewrite51.0ms

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:
17.0ms
(* x (- 3.0 (* x 2.0)))
31.0ms
(* x (* x (- 3.0 (* x 2.0))))

series131.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* x (- 3.0 (* x 2.0)))
68.0ms
(* x (* x (- 3.0 (* x 2.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0248535
11174460
25001440

prune149.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)

rewrite53.0ms

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:
15.0ms
(* 2.0 (pow x 3))
18.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
18.0ms
(* (* x x) 3.0)

series146.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* 2.0 (pow x 3))
89.0ms
(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
24.0ms
(* (* x x) 3.0)

simplify64.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0305350
11570308
25001301

prune215.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 2) (+ (pow (cbrt 3.0) 3) (- (* x 2.0))))
1.0b
(pow (cbrt 3.0) 3)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt unpow-prod-down
8×add-exp-log associate-*l*
6×cbrt-prod cube-prod
4×associate-*r* add-cbrt-cube unswap-sqr
3×pow1 pow-unpow prod-exp sqr-pow
2×expm1-log1p-u pow-to-exp pow-pow associate-*r/ pow-exp log1p-expm1-u unpow2 add-log-exp
1×distribute-rgt-in cube-mult distribute-lft-in flip3-+ pow1/3 unpow3 *-commutative cbrt-unprod flip-+ distribute-lft-out rem-cube-cbrt
Counts
2 → 66
Calls
2 calls:
78.0ms
(* (pow x 2) (+ (pow (cbrt 3.0) 3) (- (* x 2.0))))
3.0ms
(pow (cbrt 3.0) 3)

series69.0ms

Counts
2 → 4
Calls
2 calls:
69.0ms
(* (pow x 2) (+ (pow (cbrt 3.0) 3) (- (* x 2.0))))
0.0ms
(pow (cbrt 3.0) 3)

simplify70.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0326400
11662335
25002322

prune197.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12910
22910

end0.0ms

sample417.0ms

Algorithm
intervals
Results
282.0ms12065×body80valid