Details

Time bar (total: 12.4s)

sample175.0ms

Algorithm
intervals
Results
71.0ms83×body1280valid
46.0ms78×body80valid
30.0ms60×body640valid
8.0ms23×body320valid
3.0ms12×body160valid

simplify46.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize20.0ms

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))
0.3b
(pow (sin ky) 2.0)
0.3b
(pow (sin kx) 2.0)
3.7b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite138.0ms

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:
97.0ms
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
4.0ms
(pow (sin ky) 2.0)
4.0ms
(pow (sin kx) 2.0)
29.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series495.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
117.0ms
(pow (sin ky) 2.0)
115.0ms
(pow (sin kx) 2.0)
89.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify39.0ms

Counts
113 → 113

prune432.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin kx))
0.6b
(cbrt (sin kx))
0.6b
(cbrt (sin kx))
3.7b
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt (sin kx))
2.0ms
(cbrt (sin kx))
1.0ms
(cbrt (sin kx))
37.0ms
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (sin kx))
105.0ms
(cbrt (sin kx))
114.0ms
(cbrt (sin kx))
92.0ms
(sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))

simplify72.0ms

Counts
60 → 60

prune333.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 10.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
3.7b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.7b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.7b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite106.0ms

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)))))
27.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
30.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
27.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
89.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
85.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
91.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify92.0ms

Counts
102 → 102

prune496.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 10.2b

localize62.0ms

Local error

Found 4 expressions with local error:

3.7b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.7b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.7b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.7b
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite115.0ms

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:
29.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
27.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
27.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
30.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series349.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
87.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
89.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
90.0ms
(sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify119.0ms

Counts
80 → 80

prune467.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 10.2b

regimes1.5s

Accuracy

60.6% (0.6b remaining)

Error of 11.8b against oracle of 11.2b and baseline of 12.7b

bsearch6.0ms

simplify1.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.5s2745×body1280valid
1.6s1867×body640valid
424.0ms756×body320valid
326.0ms2251×body80valid
131.0ms381×body160valid