Details

Time bar (total: 8.9s)

sample51.0ms

Algorithm
intervals
Results
24.0ms506×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.2b

Counts
2 → 1

localize14.0ms

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))

rewrite24.0ms

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:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
7.0ms
(/ (* z z) (* t t))
7.0ms
(/ (* x x) (* y y))

series37.0ms

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

simplify769.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
0113909
1356856
21537664
done5000664

prune106.0ms

Filtered
41 candidates to 64 candidates (-56.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 2.9b

Counts
65 → 9

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))

rewrite32.0ms

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)))
10.0ms
(* (/ x y) (/ x y))
9.0ms
(/ (* z z) (* t t))

series36.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
5.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

simplify940.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (412.0ms)

IterNodesCost
01821515
15741368
222501133
done50001133

prune139.0ms

Filtered
72 candidates to 111 candidates (-54.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1047111
Fresh448
Picked101
Done000
Total10911120

Merged error: 0.1b

Counts
120 → 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))

rewrite38.0ms

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:
7.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
13.0ms
(* (/ x y) (/ x y))
10.0ms
(* (/ z t) (/ z t))

series37.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
6.0ms
(* (/ x y) (/ x y))
6.0ms
(* (/ z t) (/ z t))

simplify1.5s

Counts
163 → 163
Iterations

Useful iterations: 2 (872.0ms)

IterNodesCost
02552208
18001967
230191685
done50001685

prune200.0ms

Filtered
106 candidates to 163 candidates (-53.8%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New15211163
Fresh4610
Picked101
Done000
Total15717174

Merged error: 0.0b

Counts
174 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
26.0b
(cbrt (* (/ z t) (/ z t)))
26.0b
(cbrt (* (/ z t) (/ z t)))
26.0b
(cbrt (* (/ z t) (/ z t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
6.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
6.0ms
(cbrt (* (/ z t) (/ z t)))
6.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
23.0ms
(cbrt (* (/ z t) (/ z t)))
21.0ms
(cbrt (* (/ z t) (/ z t)))
20.0ms
(cbrt (* (/ z t) (/ z t)))

simplify2.0s

Counts
97 → 97
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01191468
12101357
25221203
313511066
433801032
done50001032

prune81.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01616
Picked011
Done000
Total9717114

Merged error: 0.0b

Counts
114 → 17

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
01234
11434
done1434

end0.0ms

sample1.5s

Algorithm
intervals
Results
757.0ms15460×body80valid

Profiling

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