Details

Time bar (total: 13.6s)

sample23.0ms

Algorithm
intervals
Results
11.0ms314×body80valid
1.0ms6×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms3×body160valid

simplify52.0ms

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
1×associate-+l+
Counts
2 → 28
Calls
2 calls:
7.0ms
(+ (* d1 3) (* d1 d2))
35.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

series89.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* d1 3) (* d1 d2))
50.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

simplify2.4s

Counts
34 → 34
Iterations
IterNodes
done5002
33570
2761
1193
059

prune201.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*l*
2×flip3-+ associate-*r/ flip-+ insert-posit16
1×distribute-rgt-in +-commutative associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 41
Calls
2 calls:
35.0ms
(+ (+ 3 d3) d2)
95.0ms
(* d1 (+ (+ 3 d3) d2))

series60.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (+ 3 d3) d2)
44.0ms
(* d1 (+ (+ 3 d3) d2))

simplify3.0s

Counts
47 → 47
Iterations
IterNodes
done5022
34796
2748
1198
067

prune167.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
7×swap-sqr associate-*r* associate-*l* distribute-lft-out
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
65.0ms
(* (cbrt (+ (* d1 3) (* d1 d2))) (cbrt (+ (* d1 3) (* d1 d2))))
8.0ms
(cbrt (+ (* d1 3) (* d1 d2)))
8.0ms
(cbrt (+ (* d1 3) (* d1 d2)))
8.0ms
(cbrt (+ (* d1 3) (* d1 d2)))

series496.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (cbrt (+ (* d1 3) (* d1 d2))) (cbrt (+ (* d1 3) (* d1 d2))))
108.0ms
(cbrt (+ (* d1 3) (* d1 d2)))
130.0ms
(cbrt (+ (* d1 3) (* d1 d2)))
131.0ms
(cbrt (+ (* d1 3) (* d1 d2)))

simplify2.0s

Counts
109 → 109
Iterations
IterNodes
done5003
32983
21033
1390
0155

prune621.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3 d3) (+ 3 d3))
1.6b
(- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))
6.7b
(* d1 (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)))
16.0b
(/ (* d1 (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))) (- (+ 3 d3) d2))

rewrite155.0ms

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×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×associate-/r* flip3-+ times-frac swap-sqr associate--l+ associate-*r/ flip-+ add-log-exp
4×frac-times 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 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 → 119
Calls
4 calls:
30.0ms
(* (+ 3 d3) (+ 3 d3))
15.0ms
(- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))
55.0ms
(* d1 (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)))
53.0ms
(/ (* d1 (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))) (- (+ 3 d3) d2))

series272.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ 3 d3) (+ 3 d3))
49.0ms
(- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))
84.0ms
(* d1 (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2)))
123.0ms
(/ (* d1 (- (* (+ 3 d3) (+ 3 d3)) (* d2 d2))) (- (+ 3 d3) d2))

simplify1.8s

Counts
131 → 131
Iterations
IterNodes
done5001
22405
1587
0189

prune388.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
09

end0.0ms

sample1.2s

Algorithm
intervals
Results
933.0ms9563×body80valid
35.0ms207×body640valid
17.0ms139×body320valid
15.0ms80×body1280valid
7.0ms81×body160valid