Details

Time bar (total: 31.8s)

sample398.0ms

Algorithm
intervals
Results
183.0ms86×body1280valid
55.0ms59×body640valid
19.0ms30×body320valid
16.0ms72×body80valid
4.0ms9×body160valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
73537
61018
5404
4185
394
259
125
013

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b
(hypot (sin ky) (sin kx))
0.1b
(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
0.2b
(/ (sin ky) (hypot (sin ky) (sin kx)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
13×associate-*r*
10×add-cbrt-cube add-exp-log
5×pow1
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×hypot-udef clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
3 → 76
Calls
3 calls:
0.0ms
(hypot (sin ky) (sin kx))
36.0ms
(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
18.0ms
(/ (sin ky) (hypot (sin ky) (sin kx)))

series797.0ms

Counts
3 → 9
Calls
3 calls:
184.0ms
(hypot (sin ky) (sin kx))
356.0ms
(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
256.0ms
(/ (sin ky) (hypot (sin ky) (sin kx)))

simplify1.7s

Counts
85 → 85
Iterations
IterNodes
32640
2996
1302
0133

prune676.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.7b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
0.4b
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
0.4b
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
0.4b
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
26.0ms
(* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
3.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
3.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
3.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))

series1.3s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
290.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
335.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
344.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))

simplify2.7s

Counts
168 → 168
Iterations
IterNodes
44230
31506
2687
1312
0173

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.7b

localize72.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
0.4b
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
0.4b
(cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
0.5b
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
56×cbrt-prod
27×times-frac
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
11×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
1×frac-times associate-*l/ associate-*r/
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
1.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
5.0ms
(cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
2.0ms
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
345.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
291.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
279.0ms
(cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
305.0ms
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))

simplify1.9s

Counts
105 → 105
Iterations
IterNodes
43713
31318
2535
1258
0161

prune1.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.6b

localize99.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
0.5b
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
0.5b
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
0.5b
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
4 → 109
Calls
4 calls:
3.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
3.0ms
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
3.0ms
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
4.0ms
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
327.0ms
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
290.0ms
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
280.0ms
(cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))

simplify1.2s

Counts
121 → 121
Iterations
IterNodes
42450
3911
2398
1203
0131

prune1.0s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 9.6b

regimes1.5s

Accuracy

0% (0.7b remaining)

Error of 9.5b against oracle of 8.9b and baseline of 9.5b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
218
118
015

end0.0ms

sample11.6s

Algorithm
intervals
Results
6.2s2634×body1280valid
2.8s1905×body640valid
1.2s2313×body80valid
759.0ms780×body320valid
355.0ms368×body160valid