Details

Time bar (total: 5.9s)

sample44.0ms

Algorithm
intervals
Results
11.0ms276×body80valid
9.0ms260×body80nan

simplify74.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
12110
24510
36710
49310
511210
612410
712610
done12610

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize11.0ms

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)))
6.0ms
(* y (sqrt z))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ x (* y (sqrt z)))
8.0ms
(* y (sqrt z))

simplify1.3s

Counts
39 → 39
Iterations

Useful iterations: 4 (535.0ms)

IterNodesCost
085367
1216338
2625318
31615305
44275299
done5000299

prune80.0ms

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

localize11.0ms

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)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (sqrt z))
21.0ms
(sqrt (sqrt z))
8.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
13.0ms
(* y (sqrt (sqrt z)))

simplify694.0ms

Counts
100 → 100
Iterations

Useful iterations: 3 (279.0ms)

IterNodesCost
0131917
1326737
21011650
32562630
done5000630

prune115.0ms

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))))

rewrite45.0ms

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)))
18.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
12.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (sqrt (sqrt z)))
16.0ms
(* y (sqrt (sqrt z)))
8.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
22.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify562.0ms

Counts
120 → 120
Iterations

Useful iterations: done (559.0ms)

IterNodesCost
02091573
15501275
21891970
done5002962

prune137.0ms

Filtered
68 candidates to 120 candidates (-76.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh055
Picked011
Done022
Total1199128

Merged error: 0.0b

Counts
128 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* y (fabs (cbrt (sqrt z)))) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
0.3b
(* (* y (fabs (cbrt (sqrt z)))) (sqrt (cbrt (sqrt z))))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log cbrt-prod add-cbrt-cube
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
13.0ms
(* (* (* y (fabs (cbrt (sqrt z)))) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
9.0ms
(* (* y (fabs (cbrt (sqrt z)))) (sqrt (cbrt (sqrt z))))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series85.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* (* y (fabs (cbrt (sqrt z)))) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
22.0ms
(* (* y (fabs (cbrt (sqrt z)))) (sqrt (cbrt (sqrt z))))
20.0ms
(cbrt (sqrt z))
20.0ms
(cbrt (sqrt z))

simplify503.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
01851396
15001264
218591070
done50001070

prune106.0ms

Filtered
60 candidates to 94 candidates (-56.7%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New93194
Fresh145
Picked011
Done033
Total949103

Merged error: 0.0b

Counts
103 → 9

regimes566.0ms

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
340.0ms8574×body80valid
319.0ms8511×body80nan

Profiling

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