Details

Time bar (total: 7.3s)

sample52.0ms

Algorithm
intervals
Results
23.0ms506×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.2b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
17.8b
(/ (* z z) (* t t))
20.8b
(/ (* x x) (* y y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
10.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
7.0ms
(/ (* z z) (* t t))
7.0ms
(/ (* x x) (* y y))

series39.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* z z) (* t t))
6.0ms
(/ (* x x) (* y y))

simplify616.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
0113909
1362864
21733664
done5001664

prune100.0ms

Filtered
39 candidates to 64 candidates (-64.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New56864
Fresh000
Picked101
Done000
Total57865

Merged error: 3.0b

Counts
65 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
17.8b
(/ (* z z) (* t t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
9.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
11.0ms
(* (/ x y) (/ x y))
10.0ms
(/ (* z z) (* t t))

series38.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
6.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

simplify847.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (414.0ms)

IterNodesCost
01821515
15801382
225231133
done50001133

prune140.0ms

Filtered
70 candidates to 111 candidates (-58.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1047111
Fresh347
Picked101
Done000
Total10811119

Merged error: 0.1b

Counts
119 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
8.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
15.0ms
(* (/ x y) (/ x y))
11.0ms
(* (/ z t) (/ z t))

series38.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
6.0ms
(* (/ x y) (/ x y))
6.0ms
(* (/ z t) (/ z t))

simplify771.0ms

Counts
163 → 163
Iterations

Useful iterations: 2 (239.0ms)

IterNodesCost
02552208
18041987
233691685
done50011685

prune210.0ms

Filtered
107 candidates to 163 candidates (-52.3%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New15112163
Fresh4610
Picked101
Done000
Total15618174

Merged error: 0.0b

Counts
174 → 18

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z t)) (cbrt (/ z t)))
12.8b
(cbrt (/ z t))
12.8b
(cbrt (/ z t))
12.8b
(cbrt (/ z t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
13.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
3.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series71.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
14.0ms
(cbrt (/ z t))
14.0ms
(cbrt (/ z t))
15.0ms
(cbrt (/ z t))

simplify1.2s

Counts
156 → 156
Iterations

Useful iterations: 4 (730.0ms)

IterNodesCost
01681912
12841788
29061690
324531615
449491571
done50001571

prune159.0ms

Filtered
119 candidates to 156 candidates (-31.1%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh01717
Picked011
Done000
Total15618174

Merged error: 0.0b

Counts
174 → 18

regimes1.3s

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
11526
done1526

end0.0ms

sample1.5s

Algorithm
intervals
Results
754.0ms15460×body80valid

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