Details

Time bar (total: 12.1s)

sample30.0ms

Algorithm
intervals
Results
14.0ms336×body80valid

simplify4.3s

Counts
1 → 1
Iterations
IterNodes
done5000
64460
51221
4417
3151
262
126
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt
5×pow1 add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u associate-*r* associate-*l* prod-diff log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- unswap-sqr
Counts
3 → 48
Calls
3 calls:
10.0ms
(- (* 3.0 x) 4.0)
0.0ms
(fma x (- (* 3.0 x) 4.0) 1.0)
5.0ms
(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)

series156.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* 3.0 x) 4.0)
41.0ms
(fma x (- (* 3.0 x) 4.0) 1.0)
55.0ms
(* (fma x (- (* 3.0 x) 4.0) 1.0) 3.0)

simplify1.1s

Counts
57 → 57
Iterations
IterNodes
done5001
2768
1216
095

prune304.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt prod-diff
7×*-un-lft-identity add-cube-cbrt
5×distribute-rgt-in distribute-lft-in
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×sub-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip--
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 50
Calls
2 calls:
10.0ms
(- (* x 9.0) 12.0)
46.0ms
(* x (- (* x 9.0) 12.0))

series134.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* x 9.0) 12.0)
78.0ms
(* x (- (* x 9.0) 12.0))

simplify1.1s

Counts
56 → 56
Iterations
IterNodes
done5000
21164
1242
095

prune266.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x 9.0) x) (* (- 12.0) x))
0.2b
(* (* x 9.0) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×distribute-lft-neg-out expm1-log1p-u log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ distribute-rgt-out associate-*l* unsub-neg *-commutative flip-+
Counts
2 → 37
Calls
2 calls:
14.0ms
(+ (* (* x 9.0) x) (* (- 12.0) x))
25.0ms
(* (* x 9.0) x)

series144.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(+ (* (* x 9.0) x) (* (- 12.0) x))
35.0ms
(* (* x 9.0) x)

simplify1.6s

Counts
43 → 43
Iterations
IterNodes
done5001
21286
1199
067

prune242.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log associate-*r* prod-diff *-commutative flip-- unswap-sqr
Counts
2 → 37
Calls
2 calls:
15.0ms
(- (* 9.0 (* x x)) (* 12.0 x))
22.0ms
(* 9.0 (* x x))

series163.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(- (* 9.0 (* x x)) (* 12.0 x))
53.0ms
(* 9.0 (* x x))

simplify996.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
21016
1198
067

prune154.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done22
322
221
117
010

end0.0ms

sample1.2s

Algorithm
intervals
Results
957.0ms10633×body80valid