Details

Time bar (total: 28.5s)

sample165.0ms

Algorithm
intervals
Results
73.0ms82×body1280valid
28.0ms74×body640valid
22.0ms268×body80valid
10.0ms39×body320valid
3.0ms16×body160valid

simplify194.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01219
12513
24913
37613
49513
511113
612513
713913
done13913

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
0.5b
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
0.7b
(/ (cos th) (sqrt 2.0))
0.7b
(/ (cos th) (sqrt 2.0))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
70×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
44×associate-*l* sqrt-prod
32×add-exp-log add-cbrt-cube
14×pow1
12×prod-exp associate-/r* cbrt-unprod
6×cbrt-undiv div-exp pow-prod-down associate-/l* unswap-sqr
4×div-inv add-log-exp
2×frac-2neg associate-*r* associate-*l/ clear-num *-commutative
Counts
4 → 168
Calls
4 calls:
65.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
60.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
11.0ms
(/ (cos th) (sqrt 2.0))
10.0ms
(/ (cos th) (sqrt 2.0))

series510.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
173.0ms
(* (/ (cos th) (sqrt 2.0)) (* a1 a1))
69.0ms
(/ (cos th) (sqrt 2.0))
93.0ms
(/ (cos th) (sqrt 2.0))

simplify1.5s

Counts
180 → 180
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01812118
14662012
213921832
done50011812

prune732.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
0.3b
(* (/ (cos th) (sqrt 2.0)) a1)
0.7b
(/ (cos th) (sqrt 2.0))
0.7b
(/ (cos th) (sqrt 2.0))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
74×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
44×associate-*l* sqrt-prod
25×add-exp-log add-cbrt-cube
12×associate-/r*
11×pow1
8×prod-exp cbrt-unprod
6×associate-/l* unswap-sqr
5×cbrt-undiv div-exp
4×associate-*r* pow-prod-down div-inv add-log-exp
2×frac-2neg associate-*l/ clear-num *-commutative
Counts
4 → 165
Calls
4 calls:
67.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
53.0ms
(* (/ (cos th) (sqrt 2.0)) a1)
21.0ms
(/ (cos th) (sqrt 2.0))
21.0ms
(/ (cos th) (sqrt 2.0))

series489.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (/ (cos th) (sqrt 2.0)) (* a2 a2))
125.0ms
(* (/ (cos th) (sqrt 2.0)) a1)
74.0ms
(/ (cos th) (sqrt 2.0))
102.0ms
(/ (cos th) (sqrt 2.0))

simplify3.6s

Counts
177 → 177
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
01761959
14251860
212571720
341991704
done50001704

prune822.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (* a2 a2))
0.3b
(* (/ (cos th) (sqrt 2.0)) a1)
0.6b
(/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.7b
(/ (cos th) (sqrt 2.0))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
96×add-sqr-sqrt
89×associate-*l*
75×add-cube-cbrt *-un-lft-identity
48×add-exp-log
46×cbrt-prod
45×sqrt-prod
36×add-cbrt-cube
17×prod-exp cbrt-unprod
14×cbrt-undiv div-exp
13×div-inv
11×pow1
10×unswap-sqr
7×associate-/r*
6×associate-/l*
4×associate-*r* pow-prod-down add-log-exp
2×frac-2neg associate-*l/ clear-num *-commutative
Counts
4 → 204
Calls
4 calls:
98.0ms
(* (/ (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (* a2 a2))
25.0ms
(* (/ (cos th) (sqrt 2.0)) a1)
41.0ms
(/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
21.0ms
(/ (cos th) (sqrt 2.0))

series919.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (/ (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (* a2 a2))
166.0ms
(* (/ (cos th) (sqrt 2.0)) a1)
479.0ms
(/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
100.0ms
(/ (cos th) (sqrt 2.0))

simplify2.1s

Counts
216 → 216
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02933465
17553357
222132806
done50012649

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (/ (cos th) (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* a2 a2))
0.3b
(* (/ (cos th) (sqrt 2.0)) a1)
0.7b
(/ (cos th) (sqrt 2.0))
1.0b
(/ (/ 1 (cbrt (sqrt 2.0))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
847×times-frac
745×cbrt-prod
477×add-sqr-sqrt
424×add-cube-cbrt *-un-lft-identity
398×associate-*l*
249×sqrt-prod
54×add-exp-log
34×associate-/l*
32×add-cbrt-cube
20×div-exp unswap-sqr
18×div-inv
15×prod-exp
14×cbrt-undiv
13×pow1 cbrt-unprod
8×pow1/3
7×associate-/r*
4×associate-*r* pow-prod-down add-log-exp pow-div
2×rec-exp pow-flip frac-2neg 1-exp associate-*l/ clear-num pow-sqr *-commutative pow-prod-up inv-pow
1×associate-/l/
Counts
4 → 588
Calls
4 calls:
190.0ms
(* (/ (/ (cos th) (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* a2 a2))
20.0ms
(* (/ (cos th) (sqrt 2.0)) a1)
33.0ms
(/ (cos th) (sqrt 2.0))
53.0ms
(/ (/ 1 (cbrt (sqrt 2.0))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series931.0ms

Counts
4 → 10
Calls
4 calls:
723.0ms
(* (/ (/ (cos th) (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* a2 a2))
116.0ms
(* (/ (cos th) (sqrt 2.0)) a1)
92.0ms
(/ (cos th) (sqrt 2.0))
0.0ms
(/ (/ 1 (cbrt (sqrt 2.0))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify3.0s

Counts
598 → 598
Iterations

Useful iterations: done (3.0s)

IterNodesCost
057910146
115689902
239159448
done50009400

prune4.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes583.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02141
12941
done2941

end0.0ms

sample6.2s

Algorithm
intervals
Results
1.8s2498×body1280valid
1.4s8073×body80valid
1.2s1995×body640valid
580.0ms529×body160valid
423.0ms1075×body320valid