Details

Time bar (total: 42.1s)

sample438.0ms

Algorithm
intervals
Results
159.0ms87×body1280valid
73.0ms54×body640valid
60.0ms24×body320valid
22.0ms81×body80valid
6.0ms10×body160valid

simplify1.1s

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize40.0ms

Local error

Found 4 expressions with local error:

4.0b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.2b
(* (sin ky) (sin ky))
0.2b
(* (sin kx) (sin kx))
0.2b
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))

rewrite146.0ms

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
102.0ms
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
18.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.0ms
(* (sin ky) (sin ky))
10.0ms
(* (sin kx) (sin kx))

series410.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
189.0ms
(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
158.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
35.0ms
(* (sin ky) (sin ky))
27.0ms
(* (sin kx) (sin kx))

simplify777.0ms

Counts
131 → 131

prune2.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.7b

localize79.0ms

Local error

Found 4 expressions with local error:

4.0b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
4.0b
(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) (/ 1 (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
67×add-sqr-sqrt
60×times-frac
51×*-un-lft-identity
48×add-cube-cbrt
34×associate-*r*
18×sqrt-div
15×add-exp-log
11×add-cbrt-cube
9×associate-/r*
8×pow1 sin-mult
7×unswap-sqr
6×associate-/r/
4×flip3-+ frac-add prod-exp flip-+ insert-posit16 add-log-exp
3×div-exp associate-*l* associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 cbrt-unprod div-inv
1×rec-exp clear-num frac-2neg 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative
Counts
4 → 151
Calls
4 calls:
Slowest
68.0ms
(* (sin th) (/ 1 (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
28.0ms
(/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
19.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
176.0ms
(/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
175.0ms
(* (sin th) (/ 1 (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
118.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
105.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

simplify933.0ms

Counts
163 → 163

prune3.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.7b

localize85.0ms

Local error

Found 4 expressions with local error:

4.0b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
4.0b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
4.0b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.4b
(cbrt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
12×sqrt-div
8×sin-mult
7×pow1
4×flip3-+ add-cbrt-cube frac-add add-exp-log flip-+ insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×cbrt-div pow1/3 div-inv
Counts
4 → 86
Calls
4 calls:
Slowest
29.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
22.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
22.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
21.0ms
(cbrt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))

series568.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
221.0ms
(cbrt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
121.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
120.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
105.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

simplify1.1s

Counts
98 → 98

prune2.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.7b

localize78.0ms

Local error

Found 4 expressions with local error:

4.0b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
4.0b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
4.0b
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
0.4b
(/ (/ (sin ky) (sqrt (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sqrt (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
1503×sqrt-prod
984×times-frac
511×add-sqr-sqrt
508×*-un-lft-identity add-cube-cbrt
135×sqrt-div
43×associate-/l*
42×associate-/r/
34×sin-mult
17×flip3-+ frac-add flip-+
14×div-inv
12×associate-/r*
9×add-cbrt-cube add-exp-log
7×pow1
4×insert-posit16 add-log-exp
3×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp
1×clear-num frac-2neg associate-/l/
Counts
4 → 641
Calls
4 calls:
Slowest
101.0ms
(/ (/ (sin ky) (sqrt (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sqrt (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
19.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

series621.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
223.0ms
(/ (/ (sin ky) (sqrt (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sqrt (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
142.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
141.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
114.0ms
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

simplify1.9s

Counts
653 → 653

prune13.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.7b

regimes1.2s

Accuracy

0% (1.5b remaining)

Error of 12.9b against oracle of 11.4b and baseline of 12.9b

bsearch8.0ms

end0.0ms

sample10.6s

Algorithm
intervals
Results
6.4s2776×body1280valid
2.3s1795×body640valid
799.0ms791×body320valid
663.0ms2292×body80valid
166.0ms346×body160valid