Details

Time bar (total: 26.3s)

sample158.0ms

Algorithm
intervals
Results
53.0ms91×body1280valid
45.0ms60×body640valid
25.0ms262×body80valid
11.0ms38×body320valid
4.0ms20×body160valid

simplify151.0ms

Counts
1 → 1
Iterations
IterNodes
done113
7113
6101
591
479
370
248
125
012

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.3b
(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.7b
(/ (cos th) (sqrt 2))
0.7b
(/ (cos th) (sqrt 2))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
70×add-sqr-sqrt
60×*-un-lft-identity add-cube-cbrt
44×associate-*l* sqrt-prod
32×add-cbrt-cube add-exp-log
14×pow1
12×associate-/r* prod-exp cbrt-unprod
6×cbrt-undiv div-exp pow-prod-down associate-/l* unswap-sqr
4×insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r* associate-*l/ *-commutative
Counts
4 → 172
Calls
4 calls:
39.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
43.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
17.0ms
(/ (cos th) (sqrt 2))
17.0ms
(/ (cos th) (sqrt 2))

series438.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
133.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
91.0ms
(/ (cos th) (sqrt 2))
87.0ms
(/ (cos th) (sqrt 2))

simplify1.5s

Counts
184 → 184
Iterations
IterNodes
done5007
21563
1533
0183

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.6b
(/ (cos th) (sqrt (sqrt 2)))
0.6b
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.7b
(/ (cos th) (sqrt 2))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
616×sqrt-prod
614×times-frac
345×add-sqr-sqrt
340×*-un-lft-identity add-cube-cbrt
37×associate-/l*
25×add-cbrt-cube add-exp-log
24×associate-/r*
22×associate-*l*
14×div-inv
9×pow1
7×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow-prod-down unswap-sqr
1×associate-*r* associate-*l/ *-commutative associate-/l/
Counts
4 → 473
Calls
4 calls:
20.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
10.0ms
(/ (cos th) (sqrt (sqrt 2)))
32.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
18.0ms
(/ (cos th) (sqrt 2))

series757.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
121.0ms
(/ (cos th) (sqrt (sqrt 2)))
77.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
430.0ms
(/ (cos th) (sqrt 2))

simplify2.1s

Counts
485 → 485
Iterations
IterNodes
done5078
22782
11150
0480

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cos th) (sqrt 2)) a2)
0.6b
(/ (cos th) (sqrt (sqrt 2)))
0.6b
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.7b
(/ (cos th) (sqrt 2))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
616×sqrt-prod
614×times-frac
349×add-sqr-sqrt
341×*-un-lft-identity add-cube-cbrt
37×associate-/l*
24×associate-/r*
22×associate-*l*
18×add-cbrt-cube add-exp-log
14×div-inv
6×pow1 cbrt-undiv div-exp
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*r* unswap-sqr
2×prod-exp cbrt-unprod
1×pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 470
Calls
4 calls:
17.0ms
(* (/ (cos th) (sqrt 2)) a2)
9.0ms
(/ (cos th) (sqrt (sqrt 2)))
27.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
8.0ms
(/ (cos th) (sqrt 2))

series510.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (/ (cos th) (sqrt 2)) a2)
175.0ms
(/ (cos th) (sqrt (sqrt 2)))
90.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
93.0ms
(/ (cos th) (sqrt 2))

simplify1.7s

Counts
482 → 482
Iterations
IterNodes
done5032
22539
11085
0474

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
0.5b
(/ a2 (sqrt 2))
0.6b
(/ (cos th) (sqrt (sqrt 2)))
0.6b
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
1149×sqrt-prod
1137×times-frac
626×add-sqr-sqrt
592×*-un-lft-identity add-cube-cbrt
283×associate-*l*
37×associate-/l*
34×add-cbrt-cube add-exp-log
24×associate-/r*
23×div-inv
13×unswap-sqr
11×cbrt-undiv div-exp
9×pow1 prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow-prod-down
1×associate-*r* associate-*l/ *-commutative associate-/l/
Counts
4 → 748
Calls
4 calls:
38.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
9.0ms
(/ a2 (sqrt 2))
9.0ms
(/ (cos th) (sqrt (sqrt 2)))
15.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series445.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
68.0ms
(/ a2 (sqrt 2))
154.0ms
(/ (cos th) (sqrt (sqrt 2)))
61.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify3.0s

Counts
760 → 760
Iterations
IterNodes
done5016
24472
11665
0581

prune3.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample6.3s

Algorithm
intervals
Results
2.3s2537×body1280valid
1.3s2109×body640valid
1.1s8110×body80valid
951.0ms1084×body320valid
112.0ms503×body160valid