Details

Time bar (total: 4.1m)

sample293.0ms

Algorithm
intervals
Results
128.0ms82×body1280valid
60.0ms77×body640valid
47.0ms245×body80valid
24.0ms40×body320valid
10.0ms26×body160valid

simplify196.0ms

Counts
1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

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:
Slowest
42.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
32.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
13.0ms
(/ (cos th) (sqrt 2))
9.0ms
(/ (cos th) (sqrt 2))

series484.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
170.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
163.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
75.0ms
(/ (cos th) (sqrt 2))
75.0ms
(/ (cos th) (sqrt 2))

simplify633.0ms

Counts
184 → 184

prune2.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (cos th) (sqrt 2))
0.5b
(/ (sqrt 2) a2)
0.2b
(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.2b
(/ a2 (/ (sqrt 2) a2))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
194×times-frac
127×add-sqr-sqrt
122×*-un-lft-identity add-cube-cbrt
70×sqrt-prod
31×associate-/r*
25×add-cbrt-cube add-exp-log
22×associate-*l*
12×associate-/l*
9×pow1
8×div-inv
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/ associate-/r/ *-commutative
Counts
4 → 233
Calls
4 calls:
Slowest
38.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
8.0ms
(/ (cos th) (sqrt 2))
6.0ms
(/ a2 (/ (sqrt 2) a2))
5.0ms
(/ (sqrt 2) a2)

series370.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
95.0ms
(/ a2 (/ (sqrt 2) a2))
68.0ms
(/ (cos th) (sqrt 2))
66.0ms
(/ (sqrt 2) a2)

simplify949.0ms

Counts
245 → 245

prune3.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (cos th) (sqrt (sqrt 2)))
0.6b
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.5b
(/ (sqrt 2) a2)
0.2b
(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))

rewrite146.0ms

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*
40×associate-/l*
34×add-cbrt-cube add-exp-log
23×div-inv
21×associate-/r*
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:
Slowest
64.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
30.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
16.0ms
(/ (sqrt 2) a2)
10.0ms
(/ (cos th) (sqrt (sqrt 2)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(/ (cos th) (sqrt (sqrt 2)))
144.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
83.0ms
(/ (sqrt 2) a2)
69.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify1.2s

Counts
760 → 760

prune13.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (cos th) (sqrt (sqrt 2)))
0.6b
(/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
0.5b
(/ (sqrt 2) a2)
0.2b
(* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a1 a1))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
35898×sqrt-prod
26649×times-frac
12128×add-sqr-sqrt
11879×*-un-lft-identity add-cube-cbrt
4516×associate-*l*
385×associate-/l*
329×div-inv
69×unswap-sqr
49×add-cbrt-cube add-exp-log
24×associate-/r*
20×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
9×pow1
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow-prod-down
1×associate-*r* associate-*l/ *-commutative associate-/l/
Counts
4 → 9624
Calls
4 calls:
Slowest
205.0ms
(* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a1 a1))
50.0ms
(/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
10.0ms
(/ (cos th) (sqrt (sqrt 2)))
5.0ms
(/ (sqrt 2) a2)

series461.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
185.0ms
(* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a1 a1))
146.0ms
(/ (cos th) (sqrt (sqrt 2)))
69.0ms
(/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))
60.0ms
(/ (sqrt 2) a2)

simplify15.7s

Counts
9636 → 9636

prune3.4m

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes326.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch4.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.2s2494×body1280valid
1.7s2078×body640valid
877.0ms8071×body80valid
447.0ms1051×body320valid
167.0ms527×body160valid