Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
9.0ms350×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0266
1556
21226
32056
42535
53075
63635
74985
89115
911875
1011885
1111885

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
associate-*r/
distribute-rgt-in sub-neg distribute-lft-in
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
5.0ms
(- (* x 3.0) 4.0)
12.0ms
(* x (- (* x 3.0) 4.0))
7.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series139.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (* x 3.0) 4.0)
56.0ms
(* x (- (* x 3.0) 4.0))
42.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0267361
11213324
25001323

prune121.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b
(* 9.0 (pow x 2))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log add-log-exp
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube unswap-sqr
associate-*l* prod-exp
pow1 diff-log unpow2 sqr-pow
pow-to-exp sub-neg flip3-- pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 41
Calls
2 calls:
24.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms
(* 9.0 (pow x 2))

series48.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
25.0ms
(* 9.0 (pow x 2))

simplify152.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
0193233
1766207
24099201
35003200

prune87.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x 9.0) 12.0)
0.1b
(* x (- (* x 9.0) 12.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
sub-neg associate-*r* associate-*l*
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- (* x 9.0) 12.0)
14.0ms
(* x (- (* x 9.0) 12.0))

series99.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x 9.0) 12.0)
58.0ms
(* x (- (* x 9.0) 12.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0137189
1560167
22720166
35001166

prune68.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* (* x (sqrt 9.0)) (* x (sqrt 9.0))) 3.0) (* 12.0 x))
0.3b
(* (* x (sqrt 9.0)) (* x (sqrt 9.0)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
41×pow1
17×pow-prod-down
14×add-exp-log add-cbrt-cube
prod-exp cbrt-unprod
add-log-exp
pow-sqr pow-prod-up
add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-plus diff-log
pow2 sub-neg flip3-- swap-sqr associate-*r* associate-*l* associate--l+ sum-log *-commutative flip--
Counts
2 → 48
Calls
2 calls:
133.0ms
(- (+ (* (* x (sqrt 9.0)) (* x (sqrt 9.0))) 3.0) (* 12.0 x))
18.0ms
(* (* x (sqrt 9.0)) (* x (sqrt 9.0)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (+ (* (* x (sqrt 9.0)) (* x (sqrt 9.0))) 3.0) (* 12.0 x))
70.0ms
(* (* x (sqrt 9.0)) (* x (sqrt 9.0)))

simplify133.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0196332
1883236
24508221
35002221

prune65.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes22.0ms

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
0114
1114

end0.0ms

sample385.0ms

Algorithm
intervals
Results
270.0ms10689×body80valid