Details

Time bar (total: 13.1s)

sample48.0ms

Algorithm
intervals
Results
26.0ms312×body80valid
4.0ms12×body640valid
1.0ms3×body1280valid
1.0ms4×body320valid
0.0ms1×body160valid

simplify77.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 (+ 3 d3)))

rewrite43.0ms

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-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
38.0ms
(* d1 (+ d2 (+ 3 d3)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* d1 (+ d2 (+ 3 d3)))

simplify1.3s

Counts
28 → 28
Iterations
IterNodes
done2012
32012
2623
1164
051

prune214.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
0.6b
(cbrt (* d1 (+ d2 (+ 3 d3))))
0.6b
(cbrt (* d1 (+ d2 (+ 3 d3))))
0.6b
(cbrt (* d1 (+ d2 (+ 3 d3))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
32.0ms
(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
19.0ms
(cbrt (* d1 (+ d2 (+ 3 d3))))
25.0ms
(cbrt (* d1 (+ d2 (+ 3 d3))))
20.0ms
(cbrt (* d1 (+ d2 (+ 3 d3))))

series971.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
249.0ms
(cbrt (* d1 (+ d2 (+ 3 d3))))
243.0ms
(cbrt (* d1 (+ d2 (+ 3 d3))))
242.0ms
(cbrt (* d1 (+ d2 (+ 3 d3))))

simplify1.2s

Counts
88 → 88
Iterations
IterNodes
done2004
32004
21107
1399
0151

prune870.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3 d3) (+ 3 d3))
2.0b
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
6.9b
(* d1 (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))))
17.6b
(/ (* d1 (- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))) (- d2 (+ 3 d3)))

rewrite159.0ms

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-- insert-posit16 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 → 115
Calls
4 calls:
24.0ms
(* (+ 3 d3) (+ 3 d3))
14.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
49.0ms
(* d1 (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))))
70.0ms
(/ (* d1 (- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))) (- d2 (+ 3 d3)))

series282.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (+ 3 d3) (+ 3 d3))
53.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
96.0ms
(* d1 (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))))
111.0ms
(/ (* d1 (- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))) (- d2 (+ 3 d3)))

simplify948.0ms

Counts
127 → 127
Iterations
IterNodes
done2000
22000
1574
0184

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3 d3) (+ 3 d3))
0.3b
(/ d1 (/ (- d2 (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))))
2.0b
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
19.0b
(/ (- d2 (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))))

rewrite136.0ms

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* insert-posit16
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 → 248
Calls
4 calls:
38.0ms
(* (+ 3 d3) (+ 3 d3))
33.0ms
(/ d1 (/ (- d2 (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))))
18.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
39.0ms
(/ (- d2 (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ 3 d3) (+ 3 d3))
110.0ms
(/ d1 (/ (- d2 (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))))
48.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
88.0ms
(/ (- d2 (+ 3 d3)) (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))))

simplify1.1s

Counts
260 → 260
Iterations
IterNodes
done2002
22002
11019
0347

prune2.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes173.0ms

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

sample1.3s

Algorithm
intervals
Results
859.0ms9588×body80valid
77.0ms208×body640valid
36.0ms101×body1280valid
34.0ms159×body320valid
14.0ms86×body160valid