Details

Time bar (total: 19.3s)

sample47.0ms

Algorithm
intervals
Results
29.0ms392×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0815
11515
22513
3379
4459
5489
done489

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3 (* z z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
associate-*r* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
25.0ms
(* 3 (* z z))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* 3 (* z z))

simplify6.4s

Counts
22 → 22
Iterations

Useful iterations: 3 (557.0ms)

IterNodesCost
034162
180149
2200129
3463123
4692123
51460123
63873123
done5001123

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 3 z) z)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
34.0ms
(* (* 3 z) z)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* 3 z) z)

simplify4.8s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
036157
195144
2332122
3681116
4939115
52310115
done5001115

prune55.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 z) z)
0.3b
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
19.7b
(sqrt (* (* 3 z) z))
19.7b
(sqrt (* (* 3 z) z))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*r*
sqrt-prod
associate-*l*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
35.0ms
(* (* 3 z) z)
125.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
25.0ms
(sqrt (* (* 3 z) z))
21.0ms
(sqrt (* (* 3 z) z))

series268.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* 3 z) z)
87.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)))
62.0ms
(sqrt (* (* 3 z) z))
68.0ms
(sqrt (* (* 3 z) z))

simplify3.1s

Counts
120 → 120
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0811103
1172725
2595622
32294537
done5000532

prune262.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (pow z 2))
0.3b
(* (sqrt (* (* 3 z) z)) (sqrt (* 3 (pow z 2))))
19.7b
(sqrt (* (* 3 z) z))
19.7b
(sqrt (* 3 (pow z 2)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
17×add-sqr-sqrt
12×associate-*r*
11×add-exp-log pow-prod-down
10×sqrt-pow1
add-cube-cbrt *-un-lft-identity
add-cbrt-cube
associate-*l*
unswap-sqr
unpow-prod-down pow1/2 prod-exp sqrt-prod add-log-exp
*-commutative cbrt-unprod unpow2 sqr-pow
pow-to-exp sqrt-unprod pow-exp
Counts
4 → 74
Calls
4 calls:
12.0ms
(* 3 (pow z 2))
86.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* 3 (pow z 2))))
17.0ms
(sqrt (* (* 3 z) z))
5.0ms
(sqrt (* 3 (pow z 2)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3 (pow z 2))
83.0ms
(* (sqrt (* (* 3 z) z)) (sqrt (* 3 (pow z 2))))
40.0ms
(sqrt (* (* 3 z) z))
45.0ms
(sqrt (* 3 (pow z 2)))

simplify2.2s

Counts
86 → 86
Iterations

Useful iterations: done (2.2s)

IterNodesCost
092845
1176619
2442545
31785503
done5000492

prune244.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample982.0ms

Algorithm
intervals
Results
644.0ms12209×body80valid