Details

Time bar (total: 2.4s)

sample26.0ms

Algorithm
intervals
Results
17.0ms348×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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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))))

rewrite24.0ms

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)
10.0ms
(* x (- (* x 3.0) 4.0))
7.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series11.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0267361
11213324
25001323

prune334.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite30.0ms

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))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
2.0ms
(* 9.0 (pow x 2))

simplify137.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0193239
1761207
23883201
35001200

prune224.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
10.0ms
(* x (- (* 9.0 x) 12.0))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* x (- (* 9.0 x) 12.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0118130
1496113
22573113
35002113

prune114.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
12×associate-*l*
10×prod-exp sqrt-prod add-cbrt-cube
add-cube-cbrt *-un-lft-identity associate-*r*
add-log-exp unswap-sqr
pow1 unpow-prod-down
cbrt-unprod
unpow2 sqr-pow
pow-to-exp diff-log pow-exp *-commutative
sub-neg flip3-- pow-prod-down associate--l+ sum-log flip--
Counts
3 → 70
Calls
3 calls:
92.0ms
(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
7.0ms
(* (sqrt 9.0) (pow x 2))
12.0ms
(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))

series13.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
3.0ms
(* (sqrt 9.0) (pow x 2))
5.0ms
(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))

simplify42.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0259502
11126405
25001388

prune368.0ms

Pruning

4 alts after pruning (2 fresh and 2 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
0114
1114

end0.0ms

sample671.0ms

Algorithm
intervals
Results
549.0ms10757×body80valid