Details

Time bar (total: 9.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms390×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
91258
8482
7248
6176
5157
4150
390
235
113
07

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (fma (- x) 2.0 3.0) x)
0.2b
(* (* (fma (- x) 2.0 3.0) x) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt
associate-*r*
*-un-lft-identity add-cube-cbrt
associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
unswap-sqr
Counts
2 → 40
Calls
2 calls:
5.0ms
(* (fma (- x) 2.0 3.0) x)
14.0ms
(* (* (fma (- x) 2.0 3.0) x) x)

series251.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (fma (- x) 2.0 3.0) x)
139.0ms
(* (* (fma (- x) 2.0 3.0) x) x)

simplify651.0ms

Counts
46 → 46
Iterations
IterNodes
done5001
2914
1150
062

prune189.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (pow x 2) (- 3.0 (* x 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
associate-*l*
*-un-lft-identity prod-diff add-exp-log add-cube-cbrt
distribute-rgt-in distribute-lft-in
unpow-prod-down unswap-sqr
add-cbrt-cube associate-*r* prod-exp
sub-neg associate-*r/ unpow2 sqr-pow
expm1-log1p-u pow-to-exp pow1 flip3-- pow-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp
Counts
1 → 41
Calls
1 calls:
25.0ms
(* (pow x 2) (- 3.0 (* x 2.0)))

series136.0ms

Counts
1 → 3
Calls
1 calls:
136.0ms
(* (pow x 2) (- 3.0 (* x 2.0)))

simplify678.0ms

Counts
44 → 44
Iterations
IterNodes
done5001
21104
1199
088

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 2.0) (pow x 3))
0.0b
(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
0.2b
(* (* 3.0 x) x)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
11×associate-*l*
10×*-un-lft-identity add-cbrt-cube add-cube-cbrt
pow1
prod-exp
add-log-exp
unpow-prod-down cube-prod cbrt-unprod unswap-sqr
distribute-lft-neg-out distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in pow-prod-down log1p-expm1-u
*-commutative sqr-pow
cube-mult pow-to-exp +-commutative neg-mul-1 sum-log fma-def flip3-+ unpow3 unsub-neg pow-exp flip-+
Counts
3 → 77
Calls
3 calls:
27.0ms
(* (- 2.0) (pow x 3))
30.0ms
(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
25.0ms
(* (* 3.0 x) x)

series612.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* (- 2.0) (pow x 3))
527.0ms
(+ (* (* 3.0 x) x) (* (- 2.0) (pow x 3)))
29.0ms
(* (* 3.0 x) x)

simplify1.9s

Counts
86 → 86
Iterations
IterNodes
done5000
22433
1343
0117

prune338.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (fma (- x) 2.0 3.0) (fabs x))
0.2b
(* (sqrt (pow x 2)) (* (fma (- x) 2.0 3.0) (fabs x)))
20.8b
(sqrt (pow x 2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-prod
14×add-sqr-sqrt associate-*l*
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
unpow-prod-down
rem-sqrt-square associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u unpow2 add-log-exp sqr-pow
*-commutative
sqrt-pow1 pow1/2 unswap-sqr
Counts
3 → 71
Calls
3 calls:
10.0ms
(* (fma (- x) 2.0 3.0) (fabs x))
20.0ms
(* (sqrt (pow x 2)) (* (fma (- x) 2.0 3.0) (fabs x)))
3.0ms
(sqrt (pow x 2))

series265.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* (fma (- x) 2.0 3.0) (fabs x))
157.0ms
(* (sqrt (pow x 2)) (* (fma (- x) 2.0 3.0) (fabs x)))
21.0ms
(sqrt (pow x 2))

simplify613.0ms

Counts
80 → 80
Iterations
IterNodes
done5001
21095
1224
0100

prune397.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample863.0ms

Algorithm
intervals
Results
591.0ms11937×body80valid