Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
8.0ms341×body80valid

simplify72.0ms

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

rewrite25.0ms

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:
3.0ms
(- (* x 3.0) 4.0)
7.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
11.0ms
(* x (- (* x 3.0) 4.0))

series132.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* x 3.0) 4.0)
33.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
61.0ms
(* x (- (* x 3.0) 4.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0267361
11213324
25002323

prune123.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

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))

series51.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
26.0ms
(* 9.0 (pow x 2))

simplify160.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
0193233
1766207
24099201
35003200

prune92.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
11.0ms
(* x (- (* x 9.0) 12.0))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* x (- (* x 9.0) 12.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0118130
1497113
22567113
35002113

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))

rewrite31.0ms

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)
15.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))
11.0ms
(* x (- (* x 3.0) 4.0))

series190.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x 3.0) 4.0)
86.0ms
(* 3.0 (* x (- (* x 3.0) 4.0)))
66.0ms
(* x (- (* x 3.0) 4.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0220373
1921324
25001320

prune109.0ms

Pruning

5 alts after pruning (3 fresh and 2 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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample390.0ms

Algorithm
intervals
Results
270.0ms10690×body80valid