Details

Time bar (total: 2.1s)

sample25.0ms

Algorithm
intervals
Results
17.0ms335×body80valid

simplify73.0ms

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: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* x 3.0) x) (* x 4.0))
0.1b
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b
(* (* x 3.0) x)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
associate-*r*
add-cube-cbrt
add-log-exp
associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r/ *-commutative
distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ diff-log flip-- flip-+ distribute-lft-out unswap-sqr
Counts
3 → 53
Calls
3 calls:
6.0ms
(- (* (* x 3.0) x) (* x 4.0))
89.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
6.0ms
(* (* x 3.0) x)

series125.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (* (* x 3.0) x) (* x 4.0))
33.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
25.0ms
(* (* x 3.0) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0286367
11258325
25002310

prune109.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite29.0ms

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:
23.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms
(* 9.0 (pow x 2))

series51.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
28.0ms
(* 9.0 (pow x 2))

simplify153.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
0193233
1766207
24099201
35003200

prune87.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

series61.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* x (- (* x 9.0) 12.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0118130
1497113
22567113
35002113

prune45.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
add-sqr-sqrt
sub-neg
add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l*
add-log-exp
associate-*r* pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative
diff-log unswap-sqr
Counts
3 → 64
Calls
3 calls:
3.0ms
(- (* x 3.0) 4.0)
14.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))
11.0ms
(* x (- (* x 3.0) 4.0))

series179.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* x 3.0) 4.0)
81.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))
62.0ms
(* x (- (* x 3.0) 4.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0220373
1921324
25001320

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes15.0ms

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

sample672.0ms

Algorithm
intervals
Results
548.0ms10724×body80valid