Details

Time bar (total: 10.6s)

sample23.0ms

Algorithm
intervals
Results
11.0ms333×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
01013
12713
26311
315210
441510
5117810
6431210
done500010

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
expm1-log1p-u associate-*r* associate-*l* prod-diff fma-udef log1p-expm1-u
distribute-rgt-in sub-neg flip3-- distribute-lft-in fma-neg diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 50
Calls
3 calls:
17.0ms
(- (* x 3.0) 4.0)
1.0ms
(fma x (- (* x 3.0) 4.0) 1.0)
8.0ms
(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series188.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(- (* x 3.0) 4.0)
43.0ms
(fma x (- (* x 3.0) 4.0) 1.0)
67.0ms
(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify827.0ms

Counts
59 → 59
Iterations

Useful iterations: done (824.0ms)

IterNodesCost
0100687
1239647
2891572
done5000562

prune229.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
prod-diff
distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
sub-neg associate-*r/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
61.0ms
(* x (- (* x 9.0) 12.0))

series120.0ms

Counts
1 → 3
Calls
1 calls:
120.0ms
(* x (- (* x 9.0) 12.0))

simplify946.0ms

Counts
35 → 35
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
083439
1212384
21057337
done5001337

prune154.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
pow-to-exp sub-neg flip3-- fma-neg diff-log prod-diff pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 45
Calls
2 calls:
22.0ms
(- (* 9.0 (pow x 2)) (* 12.0 x))
23.0ms
(* 9.0 (pow x 2))

series198.0ms

Counts
2 → 6
Calls
2 calls:
147.0ms
(- (* 9.0 (pow x 2)) (* 12.0 x))
51.0ms
(* 9.0 (pow x 2))

simplify859.0ms

Counts
51 → 51
Iterations

Useful iterations: done (856.0ms)

IterNodesCost
083500
1200456
2870409
done5000377

prune259.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
prod-diff
distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
sub-neg associate-*r/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
61.0ms
(* x (- (* 9.0 x) 12.0))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(* x (- (* 9.0 x) 12.0))

simplify914.0ms

Counts
35 → 35
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
083439
1212384
21057337
done5000337

prune99.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample980.0ms

Algorithm
intervals
Results
703.0ms10545×body80valid