Details

Time bar (total: 10.8s)

sample33.0ms

Algorithm
intervals
Results
16.0ms361×body80valid

simplify2.0s

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube prod-diff add-exp-log
distribute-rgt-in add-sqr-sqrt distribute-lft-in
*-un-lft-identity add-cube-cbrt
associate-*r* pow-prod-down prod-exp cbrt-unprod
sub-neg associate-*r/
expm1-log1p-u flip3-- associate-*l* *-commutative log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
47.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series158.0ms

Counts
1 → 3
Calls
1 calls:
158.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify1.6s

Counts
36 → 36
Iterations
IterNodes
done5001
21762
1236
077

prune119.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (- (pow x 3)))
0.1b
(fma x (* x 3.0) (* 2.0 (- (pow x 3))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*r*
12×distribute-lft-neg-in add-sqr-sqrt distribute-rgt-neg-in
10×*-un-lft-identity add-cube-cbrt
unpow-prod-down cube-prod
pow1 add-cbrt-cube add-exp-log
associate-*l*
expm1-log1p-u cube-mult unpow3 log1p-expm1-u add-log-exp sqr-pow
neg-mul-1 pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod fma-udef unswap-sqr
Counts
2 → 56
Calls
2 calls:
43.0ms
(* 2.0 (- (pow x 3)))
1.0ms
(fma x (* x 3.0) (* 2.0 (- (pow x 3))))

series224.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* 2.0 (- (pow x 3)))
158.0ms
(fma x (* x 3.0) (* 2.0 (- (pow x 3))))

simplify628.0ms

Counts
62 → 62
Iterations
IterNodes
done5000
2916
1231
095

prune300.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*r*
15×add-sqr-sqrt
12×distribute-lft-neg-in distribute-rgt-neg-in *-un-lft-identity add-cube-cbrt
10×pow1 add-cbrt-cube add-exp-log
unpow-prod-down cube-prod
add-log-exp
associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u distribute-rgt-neg-out log1p-expm1-u
cube-mult unpow3 *-commutative unswap-sqr sqr-pow
+-commutative neg-mul-1 sum-log fma-def flip3-+ unsub-neg flip-+
Counts
3 → 83
Calls
3 calls:
15.0ms
(+ (* (* x x) 3.0) (* 2.0 (- (pow x 3))))
32.0ms
(* 2.0 (- (pow x 3)))
33.0ms
(* (* x x) 3.0)

series281.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(+ (* (* x x) 3.0) (* 2.0 (- (pow x 3))))
67.0ms
(* 2.0 (- (pow x 3)))
61.0ms
(* (* x x) 3.0)

simplify2.2s

Counts
92 → 92
Iterations
IterNodes
done5002
22416
1388
0134

prune385.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt
associate-*l* fma-udef
distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
unswap-sqr
Counts
2 → 46
Calls
2 calls:
11.0ms
(* x (fma (- 2.0) x 3.0))
16.0ms
(* x (* x (fma (- 2.0) x 3.0)))

series337.0ms

Counts
2 → 6
Calls
2 calls:
170.0ms
(* x (fma (- 2.0) x 3.0))
166.0ms
(* x (* x (fma (- 2.0) x 3.0)))

simplify731.0ms

Counts
52 → 52
Iterations
IterNodes
done5000
21037
1193
073

prune232.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done18
318
217
113
09

end0.0ms

sample1.3s

Algorithm
intervals
Results
978.0ms11966×body80valid