Details

Time bar (total: 10.2s)

sample43.0ms

Algorithm
intervals
Results
10.0ms276×body80valid
9.0ms260×body80nan

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
12110
24510
36510
49110
511010
612210
done12210

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series16.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* y (sqrt z)))
8.0ms
(* y (sqrt z))

simplify2.3s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
085367
1214336
2536318
31490305
44407299
done5000299

prune75.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
0.3b
(* y (sqrt (sqrt z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
10.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
8.0ms
(* y (sqrt (sqrt z)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt z))
17.0ms
(sqrt (sqrt z))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
14.0ms
(* y (sqrt (sqrt z)))

simplify1.9s

Counts
100 → 100
Iterations

Useful iterations: 3 (894.0ms)

IterNodesCost
0131917
1321721
2882650
32367630
done5001630

prune109.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh336
Picked011
Done011
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt (sqrt z)))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt z)))
7.0ms
(* y (sqrt (sqrt z)))
17.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
12.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt (sqrt z)))
11.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
24.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify2.5s

Counts
120 → 120
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02091573
15411243
21622970
34802950
done5000950

prune131.0ms

Filtered
69 candidates to 120 candidates (-73.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh145
Picked101
Done022
Total1208128

Merged error: 0.0b

Counts
128 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.2b
(sqrt (sqrt (sqrt z)))
0.3b
(* y (pow z 3/8))
0.3b
(* (* y (pow z 3/8)) (sqrt (sqrt (sqrt z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
49×sqrt-prod
26×add-sqr-sqrt
19×add-exp-log associate-*r*
16×add-cube-cbrt *-un-lft-identity
13×sqrt-pow1
11×pow1 add-cbrt-cube
10×prod-exp
5×rem-sqrt-square pow1/2
4×unpow-prod-down associate-*l* cbrt-unprod add-log-exp
3×unswap-sqr
2×pow-to-exp pow-exp *-commutative sqr-pow
1×pow-prod-down
Counts
4 → 97
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt (sqrt z)))
6.0ms
(* y (pow z 3/8))
11.0ms
(* (* y (pow z 3/8)) (sqrt (sqrt (sqrt z))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt z))
17.0ms
(sqrt (sqrt (sqrt z)))
22.0ms
(* y (pow z 3/8))
19.0ms
(* (* y (pow z 3/8)) (sqrt (sqrt (sqrt z))))

simplify824.0ms

Counts
109 → 109
Iterations

Useful iterations: done (822.0ms)

IterNodesCost
02001103
1485943
21396869
done5000865

prune138.0ms

Filtered
67 candidates to 109 candidates (-62.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh235
Picked101
Done112
Total1116117

Merged error: 0.0b

Counts
117 → 6

regimes431.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11310
done1310

end0.0ms

sample1.3s

Algorithm
intervals
Results
341.0ms8574×body80valid
323.0ms8511×body80nan

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