Details

Time bar (total: 31.1s)

sample703.0ms

Algorithm
intervals
Results
447.0ms99×body1280valid
64.0ms56×body640valid
26.0ms31×body320valid
17.0ms54×body80valid
9.0ms16×body160valid

simplify1.4s

Counts
1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize45.0ms

Local error

Found 4 expressions with local error:

4.2b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.3b
(* (sin kx) (sin kx))
0.3b
(* (sin ky) (sin ky))
0.2b
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
31×associate-*r*
27×*-un-lft-identity add-cube-cbrt
21×pow1
20×times-frac
13×add-cbrt-cube add-exp-log sqrt-prod
9×associate-*l*
6×sqrt-div swap-sqr sin-mult
5×unswap-sqr
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow-prod-down associate-/r/ *-commutative
2×pow2 flip3-+ pow-plus frac-add pow-sqr pow-prod-up flip-+ sqr-sin
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*r/ div-inv
Counts
4 → 119
Calls
4 calls:
Slowest
75.0ms
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
16.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
16.0ms
(* (sin ky) (sin ky))
11.0ms
(* (sin kx) (sin kx))

series357.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
136.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
36.0ms
(* (sin ky) (sin ky))
21.0ms
(* (sin kx) (sin kx))

simplify800.0ms

Counts
131 → 131

prune2.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.0b

localize54.0ms

Local error

Found 4 expressions with local error:

4.2b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.3b
(* (sin kx) (sin kx))
0.3b
(* (sin ky) (sin ky))
0.2b
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
31×associate-*r*
27×*-un-lft-identity add-cube-cbrt
21×pow1
20×times-frac
13×add-cbrt-cube add-exp-log sqrt-prod
9×associate-*l*
6×sqrt-div swap-sqr sin-mult
5×unswap-sqr
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×pow-prod-down associate-/r/ *-commutative
2×pow2 flip3-+ pow-plus frac-add pow-sqr pow-prod-up flip-+ sqr-sin
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*r/ div-inv
Counts
4 → 119
Calls
4 calls:
Slowest
74.0ms
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
17.0ms
(* (sin ky) (sin ky))
12.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.0ms
(* (sin kx) (sin kx))

series398.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
228.0ms
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
115.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
34.0ms
(* (sin kx) (sin kx))
21.0ms
(* (sin ky) (sin ky))

simplify744.0ms

Counts
131 → 131

prune2.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 12.0b

localize43.0ms

Local error

Found 4 expressions with local error:

16.1b
(cbrt (* (sin kx) (sin kx)))
16.1b
(cbrt (* (sin kx) (sin kx)))
16.1b
(cbrt (* (sin kx) (sin kx)))
4.2b
(sqrt (+ (* (* (cbrt (* (sin kx) (sin kx))) (cbrt (* (sin kx) (sin kx)))) (cbrt (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
22×sin-mult
15×cbrt-div
9×sqrt-div
7×frac-add
6×add-sqr-sqrt
5×frac-times pow1 *-un-lft-identity associate-*l/ add-cube-cbrt
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×cbrt-prod pow1/3 associate-*r/ sqrt-prod
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 56
Calls
4 calls:
Slowest
102.0ms
(sqrt (+ (* (* (cbrt (* (sin kx) (sin kx))) (cbrt (* (sin kx) (sin kx)))) (cbrt (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))
10.0ms
(cbrt (* (sin kx) (sin kx)))
10.0ms
(cbrt (* (sin kx) (sin kx)))
10.0ms
(cbrt (* (sin kx) (sin kx)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
182.0ms
(cbrt (* (sin kx) (sin kx)))
135.0ms
(cbrt (* (sin kx) (sin kx)))
129.0ms
(cbrt (* (sin kx) (sin kx)))
108.0ms
(sqrt (+ (* (* (cbrt (* (sin kx) (sin kx))) (cbrt (* (sin kx) (sin kx)))) (cbrt (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))

simplify913.0ms

Counts
68 → 68

prune1.3s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 12.0b

localize78.0ms

Local error

Found 4 expressions with local error:

4.2b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
4.2b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.4b
(/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
0.3b
(* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
120×sqrt-prod
105×times-frac
66×*-un-lft-identity add-cube-cbrt
34×associate-*r* associate-*l*
24×sqrt-div
18×add-cbrt-cube add-exp-log
16×unswap-sqr
10×sin-mult
9×associate-/r* associate-/r/
8×pow1
5×cbrt-undiv flip3-+ div-exp frac-add flip-+
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 194
Calls
4 calls:
Slowest
168.0ms
(* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
36.0ms
(/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
23.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
21.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

series646.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
208.0ms
(/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
192.0ms
(* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
129.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
116.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

simplify1.4s

Counts
206 → 206

prune3.2s

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 12.0b

regimes1.3s

Accuracy

0% (1.3b remaining)

Error of 12.7b against oracle of 11.4b and baseline of 12.7b

bsearch2.0ms

end0.0ms

sample12.1s

Algorithm
intervals
Results
7.3s2738×body1280valid
2.6s1791×body640valid
943.0ms2370×body80valid
702.0ms751×body320valid
247.0ms350×body160valid