Details

Time bar (total: 34.4s)

sample342.0ms

Algorithm
intervals
Results
176.0ms99×body1280valid
52.0ms57×body640valid
16.0ms73×body80valid
13.0ms21×body320valid
3.0ms6×body160valid

simplify1.7s

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.1b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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))
17.0ms
(/ (sin ky) (hypot (sin ky) (sin kx)))
28.0ms
(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))

series748.0ms

Counts
3 → 9
Calls
3 calls:
147.0ms
(hypot (sin ky) (sin kx))
222.0ms
(/ (sin ky) (hypot (sin ky) (sin kx)))
378.0ms
(* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))

simplify2.0s

Counts
85 → 85
Iterations
IterNodes
32773
2977
1301
0133

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.0b

localize40.0ms

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))))

rewrite46.0ms

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:
32.0ms
(* (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))))

series1.2s

Counts
4 → 12
Calls
4 calls:
345.0ms
(* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
304.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
288.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
243.0ms
(cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))

simplify2.3s

Counts
168 → 168
Iterations
IterNodes
44230
31506
2687
1312
0173

prune2.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (sqrt (hypot (sin ky) (sin kx))))
0.3b
(* (* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
0.3b
(/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
0.3b
(* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx)))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
73×add-sqr-sqrt
63×*-un-lft-identity
61×add-cube-cbrt
54×add-exp-log
44×associate-*r* sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp associate-*l* pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×un-div-inv pow-flip
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
1×sqrt-pow1 pow1/2 inv-pow
Counts
4 → 197
Calls
4 calls:
10.0ms
(/ 1 (sqrt (hypot (sin ky) (sin kx))))
76.0ms
(* (* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
16.0ms
(/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
30.0ms
(* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
198.0ms
(/ 1 (sqrt (hypot (sin ky) (sin kx))))
316.0ms
(* (* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
272.0ms
(/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
283.0ms
(* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx)))))

simplify1.1s

Counts
209 → 209
Iterations
IterNodes
22107
1651
0255

prune2.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin ky)) (cbrt (sin ky)))
0.6b
(cbrt (sin ky))
0.6b
(cbrt (sin ky))
0.6b
(cbrt (sin ky))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
11.0ms
(* (cbrt (sin ky)) (cbrt (sin ky)))
1.0ms
(cbrt (sin ky))
1.0ms
(cbrt (sin ky))
1.0ms
(cbrt (sin ky))

series578.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (cbrt (sin ky)) (cbrt (sin ky)))
164.0ms
(cbrt (sin ky))
135.0ms
(cbrt (sin ky))
142.0ms
(cbrt (sin ky))

simplify2.2s

Counts
97 → 97
Iterations
IterNodes
44189
31174
2431
1179
081

prune1.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.9b

regimes1.4s

Accuracy

0% (1.0b remaining)

Error of 9.7b against oracle of 8.7b and baseline of 9.7b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
214
114
012

end0.0ms

sample11.8s

Algorithm
intervals
Results
6.4s2752×body1280valid
2.6s1826×body640valid
1.4s2367×body80valid
846.0ms733×body320valid
235.0ms322×body160valid