Details

Time bar (total: 33.3s)

sample243.0ms

Algorithm
intervals
Results
108.0ms79×body1280valid
48.0ms71×body640valid
45.0ms286×body80valid
12.0ms23×body320valid
7.0ms21×body160valid

simplify160.0ms

Counts
1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (cos th) (sqrt 2))
0.8b
(/ (cos th) (sqrt 2))
0.3b
(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.2b
(* (/ (cos th) (sqrt 2)) (* a1 a1))

rewrite90.0ms

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
24.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
23.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
22.0ms
(/ (cos th) (sqrt 2))
16.0ms
(/ (cos th) (sqrt 2))

series420.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
119.0ms
(* (/ (cos th) (sqrt 2)) (* a1 a1))
84.0ms
(/ (cos th) (sqrt 2))
66.0ms
(/ (cos th) (sqrt 2))

simplify656.0ms

Counts
184 → 184

prune2.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (cos th) (sqrt 2))
0.7b
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
0.4b
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))
0.3b
(* (/ (cos th) (sqrt 2)) (* a2 a2))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
39×add-cbrt-cube add-exp-log
38×add-sqr-sqrt
33×*-un-lft-identity add-cube-cbrt
22×associate-*l* sqrt-prod
15×prod-exp cbrt-unprod
9×pow1 cbrt-undiv div-exp
7×associate-/r*
5×cbrt-prod
4×insert-posit16 div-inv associate-/l* add-log-exp
3×pow-prod-down unswap-sqr
2×clear-num frac-2neg
1×cbrt-div pow1/3 associate-*r* associate-*l/ associate-*r/ cos-mult *-commutative associate-/l/
Counts
4 → 128
Calls
4 calls:
Slowest
42.0ms
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
32.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
18.0ms
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))
8.0ms
(/ (cos th) (sqrt 2))

series877.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
497.0ms
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))
153.0ms
(* (/ (cos th) (sqrt 2)) (* a2 a2))
153.0ms
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
74.0ms
(/ (cos th) (sqrt 2))

simplify1.6s

Counts
140 → 140

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
0.4b
(/ (sqrt 2) a2)
0.4b
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))
0.2b
(* (cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))) (* a1 a1))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
30×add-cbrt-cube
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
21×times-frac
12×prod-exp sqrt-prod cbrt-unprod
11×cbrt-prod
9×pow1
8×associate-*l*
7×cbrt-undiv div-exp associate-/l*
4×associate-/r* insert-posit16 div-inv add-log-exp
3×pow-prod-down
2×cbrt-div clear-num frac-2neg unswap-sqr
1×pow1/3 associate-*r* associate-*l/ associate-*r/ cos-mult *-commutative associate-/l/
Counts
4 → 109
Calls
4 calls:
Slowest
40.0ms
(* (cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))) (* a1 a1))
29.0ms
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
22.0ms
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))
9.0ms
(/ (sqrt 2) a2)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
500.0ms
(* (cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))) (* a1 a1))
490.0ms
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))
154.0ms
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
54.0ms
(/ (sqrt 2) a2)

simplify836.0ms

Counts
121 → 121

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
0.6b
(/ (cos th) (sqrt (sqrt 2)))
0.6b
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.4b
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
594×sqrt-prod
578×times-frac
313×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
35×associate-/l*
32×add-cbrt-cube add-exp-log
19×associate-/r*
14×div-inv
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
5×cbrt-prod
4×pow1 insert-posit16 add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×cbrt-div pow1/3 associate-*r/ cos-mult
Counts
4 → 429
Calls
4 calls:
Slowest
53.0ms
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
14.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
12.0ms
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))
11.0ms
(/ (cos th) (sqrt (sqrt 2)))

series865.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
478.0ms
(cbrt (/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2))))
153.0ms
(/ (cos th) (sqrt (sqrt 2)))
142.0ms
(/ (* (cos th) (* (cos th) (cos th))) (* 2 (sqrt 2)))
92.0ms
(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify692.0ms

Counts
441 → 441

prune8.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes808.0ms

Accuracy

0% (0.5b remaining)

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

bsearch7.0ms

end0.0ms

sample8.0s

Algorithm
intervals
Results
3.3s2449×body1280valid
1.7s2054×body640valid
1.4s8033×body80valid
986.0ms1024×body320valid
206.0ms539×body160valid