Details

Time bar (total: 27.1s)

sample52.0ms

Algorithm
intervals
Results
23.0ms386×body80valid

simplify95.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0815
11614
23311
3568
4748
5808
done808

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3 (* z z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
18.0ms
(* 3 (* z z))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* 3 (* z z))

simplify6.4s

Counts
24 → 24
Iterations

Useful iterations: 3 (147.0ms)

IterNodesCost
036174
182161
2206141
3447135
4643135
51405135
63875135
done5001135

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* z (* 3 z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
32.0ms
(* z (* 3 z))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* z (* 3 z))

simplify4.3s

Counts
23 → 23
Iterations

Useful iterations: 5 (1.5s)

IterNodesCost
036166
186157
2240133
3462127
4679127
51458126
done5000126

prune114.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* (sqrt 3) z) (* (sqrt 3) z))
0.4b
(* (sqrt 3) z)
0.4b
(* (sqrt 3) z)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1
19×add-exp-log pow-prod-down add-cbrt-cube
17×add-sqr-sqrt
13×associate-*l*
10×prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
8×sqrt-prod
7×associate-*r*
4×pow-sqr pow-prod-up unswap-sqr
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×pow-plus
1×pow2 swap-sqr
Counts
3 → 84
Calls
3 calls:
86.0ms
(* (* (sqrt 3) z) (* (sqrt 3) z))
20.0ms
(* (sqrt 3) z)
22.0ms
(* (sqrt 3) z)

series280.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(* (* (sqrt 3) z) (* (sqrt 3) z))
79.0ms
(* (sqrt 3) z)
91.0ms
(* (sqrt 3) z)

simplify8.9s

Counts
93 → 93
Iterations

Useful iterations: 3 (862.0ms)

IterNodesCost
061725
1128544
2482462
31531452
44225452
done5000452

prune179.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 3) z) (* (sqrt (sqrt 3)) (* z (sqrt (sqrt 3)))))
0.4b
(* z (sqrt (sqrt 3)))
0.4b
(* (sqrt 3) z)
0.4b
(* (sqrt (sqrt 3)) (* z (sqrt (sqrt 3))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log add-cbrt-cube
25×sqrt-prod
24×add-sqr-sqrt
20×pow-prod-down prod-exp cbrt-unprod
19×associate-*l*
14×add-cube-cbrt *-un-lft-identity associate-*r*
5×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
4 → 108
Calls
4 calls:
115.0ms
(* (* (sqrt 3) z) (* (sqrt (sqrt 3)) (* z (sqrt (sqrt 3)))))
13.0ms
(* z (sqrt (sqrt 3)))
10.0ms
(* (sqrt 3) z)
39.0ms
(* (sqrt (sqrt 3)) (* z (sqrt (sqrt 3))))

series264.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (* (sqrt 3) z) (* (sqrt (sqrt 3)) (* z (sqrt (sqrt 3)))))
80.0ms
(* z (sqrt (sqrt 3)))
42.0ms
(* (sqrt 3) z)
55.0ms
(* (sqrt (sqrt 3)) (* z (sqrt (sqrt 3))))

simplify4.6s

Counts
120 → 120
Iterations

Useful iterations: done (4.6s)

IterNodesCost
01191399
12571082
2881711
33203704
done5001697

prune338.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0910
1138
done138

end0.0ms

sample1.0s

Algorithm
intervals
Results
594.0ms12276×body80valid