Details

Time bar (total: 15.1s)

sample45.0ms

Algorithm
intervals
Results
18.0ms300×body80valid
1.0msbody320valid
1.0msbody160valid
1.0msbody640valid

simplify66.0ms

Counts
1 → 1
Iterations
IterNodes
done62
562
461
349
233
118
09

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 (+ 3.0 d3)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt associate-*r*
pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
83.0ms
(* d1 (+ d2 (+ 3.0 d3)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* d1 (+ d2 (+ 3.0 d3)))

simplify2.4s

Counts
27 → 27
Iterations
IterNodes
done5134
33362
2622
1164
051

prune174.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* d1 3.0) (* d1 d2))
0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
distribute-lft-out
add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
associate-+l+
Counts
2 → 26
Calls
2 calls:
7.0ms
(+ (* d1 3.0) (* d1 d2))
44.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

series111.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* d1 3.0) (* d1 d2))
56.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

simplify2.7s

Counts
32 → 32
Iterations
IterNodes
done5000
33263
2780
1190
058

prune219.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d3) (+ 3.0 d3))
1.5b
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
7.4b
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
14.3b
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
associate-*r* distribute-lft-out
associate-*l*
associate-/r* flip3-+ times-frac swap-sqr associate-*r/ flip-+ add-log-exp
distribute-rgt-in frac-times distribute-lft-in flip3-- flip-- distribute-lft-out-- difference-of-squares
sub-neg prod-exp cbrt-unprod
cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate--r+ unswap-sqr associate-/l/
pow2 clear-num frac-2neg pow-plus diff-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 111
Calls
4 calls:
31.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
8.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
49.0ms
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
75.0ms
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
66.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
134.0ms
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
151.0ms
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

simplify2.1s

Counts
123 → 123
Iterations
IterNodes
done5001
22288
1585
0186

prune577.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.7b
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))
2.6b
(+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))
5.0b
(* d1 (+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0)))))
25.5b
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))) (+ (* d2 d2) (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))))

rewrite459.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*r/
28×flip3-+ flip-+
16×frac-sub
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
frac-times *-un-lft-identity add-cube-cbrt add-log-exp
distribute-rgt-in distribute-lft-in
pow1 associate-*l/
associate-+r+ cube-unmult associate-*r* sub-div
associate-/r* times-frac associate-*l*
cbrt-undiv div-exp prod-exp associate--l+ associate-/r/ sum-cubes cbrt-unprod associate--r+ associate-/l/
+-commutative clear-num sum-log sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log pow-prod-down *-commutative div-inv flip-- associate-/l* unswap-sqr
Counts
4 → 101
Calls
4 calls:
34.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))
43.0ms
(+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))
211.0ms
(* d1 (+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0)))))
163.0ms
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))) (+ (* d2 d2) (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))))

series658.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))
112.0ms
(+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))
196.0ms
(* d1 (+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0)))))
287.0ms
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))) (+ (* d2 d2) (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))))

simplify2.7s

Counts
113 → 113
Iterations
IterNodes
done5003
24166
1918
0267

prune821.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes254.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample979.0ms

Algorithm
intervals
Results
561.0ms9649×body80valid
35.0ms207×body640valid
18.0ms157×body320valid
17.0ms79×body1280valid
7.0ms86×body160valid