Details

Time bar (total: 12.6s)

sample41.0ms

Algorithm
intervals
Results
18.0ms310×body80valid
2.0ms8×body640valid
1.0ms7×body320valid
0.0ms4×body160valid
0.0ms1×body1280valid

simplify31.0ms

Counts
1 → 1
Iterations
IterNodes
done71
571
466
352
234
118
09

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×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:
103.0ms
(* d1 (+ d2 (+ 3.0 d3)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* d1 (+ d2 (+ 3.0 d3)))

simplify1.0s

Counts
27 → 27
Iterations
IterNodes
done5000
2742
1165
051

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d3) (+ 3.0 d3))
2.6b
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
8.3b
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
13.5b
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

rewrite173.0ms

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
8×associate-*r* distribute-lft-out
7×associate-*l*
6×associate-/r* flip3-+ times-frac swap-sqr associate-*r/ flip-+ add-log-exp
4×distribute-rgt-in frac-times distribute-lft-in flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate--r+ unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg pow-plus diff-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 111
Calls
4 calls:
55.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
12.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
43.0ms
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
57.0ms
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

series352.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
49.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
121.0ms
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
162.0ms
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

simplify2.6s

Counts
123 → 123
Iterations
IterNodes
done5001
24039
1602
0186

prune683.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d3) (+ 3.0 d3))
0.3b
(/ d1 (/ (- d2 (+ 3.0 d3)) (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))))
2.6b
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
19.5b
(/ (- d2 (+ 3.0 d3)) (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
214×*-un-lft-identity
210×times-frac
139×add-sqr-sqrt
95×add-cube-cbrt
53×difference-of-squares
42×distribute-lft-out--
34×associate-/r*
27×distribute-lft-out
13×add-cbrt-cube add-exp-log
11×pow1 associate-/r/
9×associate-/l*
7×flip3-- flip--
6×flip3-+ swap-sqr flip-+ div-inv add-log-exp
4×frac-times cbrt-undiv div-exp associate-*r* associate-*l*
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in associate-*l/ associate-*r/ associate--r+ associate-/l/
1×pow2 sub-neg pow-plus diff-log div-sub pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 244
Calls
4 calls:
34.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
71.0ms
(/ d1 (/ (- d2 (+ 3.0 d3)) (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))))
11.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
61.0ms
(/ (- d2 (+ 3.0 d3)) (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
156.0ms
(/ d1 (/ (- d2 (+ 3.0 d3)) (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))))
51.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
101.0ms
(/ (- d2 (+ 3.0 d3)) (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

simplify1.2s

Counts
256 → 256
Iterations
IterNodes
done5001
11058
0349

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

1.7b
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))
2.9b
(+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))
5.9b
(* d1 (+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0)))))
25.8b
(/ (* 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)))))

rewrite470.0ms

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
8×frac-times *-un-lft-identity add-cube-cbrt add-log-exp
7×distribute-rgt-in distribute-lft-in
6×pow1 associate-*l/
4×associate-+r+ cube-unmult associate-*r* sub-div
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv div-exp prod-exp associate--l+ associate-/r/ sum-cubes cbrt-unprod associate--r+ associate-/l/
1×+-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:
16.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))
54.0ms
(+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))
212.0ms
(* d1 (+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0)))))
184.0ms
(/ (* 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)))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 (+ 3.0 d3)))
91.0ms
(+ (* d2 (* d2 d2)) (* (+ d3 3.0) (* (+ d3 3.0) (+ d3 3.0))))
236.0ms
(* 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)))))

simplify1.1s

Counts
113 → 113
Iterations
IterNodes
done5000
1937
0267

prune756.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
694.0ms9530×body80valid
38.0ms203×body640valid
24.0ms101×body1280valid
22.0ms151×body320valid
7.0ms68×body160valid