Details

Time bar (total: 12.0s)

sample137.0ms

Algorithm
intervals
Results
69.0ms81×body1280valid
33.0ms64×body640valid
9.0ms79×body80valid
7.0ms22×body320valid
2.0ms10×body160valid

simplify42.0ms

Counts
1 → 1

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
0.2b
(pow (sin kx) 2.0)
0.3b
(pow (sin ky) 2.0)
3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
34×add-sqr-sqrt
30×associate-*l*
26×times-frac
25×add-cube-cbrt
21×sqrt-prod
14×unpow-prod-down
11×add-exp-log
9×pow1 add-cbrt-cube
8×distribute-lft-out
6×pow-unpow
4×sqrt-div add-log-exp
3×associate-*r* unswap-sqr
2×pow-to-exp pow-pow flip3-+ pow-exp prod-exp associate-/r/ cbrt-unprod flip-+ sqr-pow
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
96.0ms
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
4.0ms
(pow (sin kx) 2.0)
4.0ms
(pow (sin ky) 2.0)
28.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series480.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
109.0ms
(pow (sin kx) 2.0)
114.0ms
(pow (sin ky) 2.0)
85.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify39.0ms

Counts
113 → 113

prune440.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin ky) 2.0)
0.3b
(/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
0.3b
(* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
50×times-frac
49×add-sqr-sqrt
41×sqrt-prod
40×add-cube-cbrt
30×associate-*r*
19×unpow-prod-down
16×distribute-lft-out
12×add-exp-log
11×add-cbrt-cube
8×pow1 associate-/r*
6×sqrt-div
4×associate-/r/ add-log-exp
3×pow-unpow flip3-+ associate-*l* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×pow-to-exp rem-sqrt-square pow-pow frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down pow-exp clear-num *-commutative sqr-pow
Counts
4 → 133
Calls
4 calls:
4.0ms
(pow (sin ky) 2.0)
37.0ms
(/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
88.0ms
(* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
28.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(pow (sin ky) 2.0)
148.0ms
(/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
168.0ms
(* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
87.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify61.0ms

Counts
145 → 145

prune484.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 11.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
30×cbrt-prod sqrt-prod
25×add-sqr-sqrt
24×times-frac
22×add-cube-cbrt
12×unpow-prod-down distribute-lft-out
8×sqrt-div
7×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×associate-/r/
1×cbrt-div pow1/3 div-inv
Counts
4 → 90
Calls
4 calls:
18.0ms
(cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
29.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
28.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
36.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
84.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
86.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
85.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify92.0ms

Counts
102 → 102

prune495.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 11.8b

localize42.0ms

Local error

Found 4 expressions with local error:

3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.3b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×sqrt-prod
12×add-sqr-sqrt
8×pow1 add-cube-cbrt unpow-prod-down sqrt-div distribute-lft-out
4×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 68
Calls
4 calls:
27.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
28.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
27.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
37.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
86.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
84.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
86.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify122.0ms

Counts
80 → 80

prune404.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 11.8b

regimes1.0s

Accuracy

0% (1.3b remaining)

Error of 12.5b against oracle of 11.2b and baseline of 12.5b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
3.1s2725×body1280valid
1.6s1897×body640valid
606.0ms748×body320valid
450.0ms2268×body80valid
118.0ms362×body160valid