Details

sample635.0ms

Algorithm

intervals

Results

326.0ms	98×	body	1280	valid
92.0ms	61×	body	640	valid
49.0ms	24×	body	320	valid
20.0ms	64×	body	80	valid
6.0ms	9×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
7	2001
6	850
5	327
4	155
3	80
2	49
1	25
0	13

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
0.2b	(* (sin kx) (sin kx))
0.3b	(* (sin ky) (sin ky))
3.3b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

rewrite148.0ms

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:

88.0ms	(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
22.0ms	(* (sin kx) (sin kx))
20.0ms	(* (sin ky) (sin ky))
13.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (sin th) (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
26.0ms	(* (sin kx) (sin kx))
28.0ms	(* (sin ky) (sin ky))
138.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

simplify985.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	2001
2	2001
1	563
0	214

prune733.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin ky) (sin ky))
1.5b	(exp (log (* (sin kx) (sin kx))))
3.3b	(sqrt (+ (exp (log (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))
17.0b	(log (* (sin kx) (sin kx)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
13×	`add-sqr-sqrt`
12×	`log-pow`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`exp-prod` `add-exp-log`
6×	`add-cbrt-cube`
5×	`sin-mult`
4×	`insert-posit16` `add-log-exp`
3×	`pow2` `log-div` `pow-plus` `sqrt-div` `swap-sqr` `associate-r` `associate-l` `pow-prod-down` `pow-sqr` `pow-prod-up` `sqrt-prod`
2×	`log-prod` `exp-diff` `rem-log-exp` `prod-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `exp-sum` `frac-add` `*-commutative` `cbrt-unprod` `flip-+` `sqr-sin` `unswap-sqr` `rem-exp-log`

Counts

4 → 83

Calls

4 calls:

11.0ms	(* (sin ky) (sin ky))
14.0ms	(exp (log (* (sin kx) (sin kx))))
55.0ms	(sqrt (+ (exp (log (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))
8.0ms	(log (* (sin kx) (sin kx)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (sin ky) (sin ky))
33.0ms	(exp (log (* (sin kx) (sin kx))))
130.0ms	(sqrt (+ (exp (log (* (sin kx) (sin kx)))) (* (sin ky) (sin ky))))
93.0ms	(log (* (sin kx) (sin kx)))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	2006
3	2006
2	973
1	331
0	149

prune615.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.4b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin ky) (sin ky))
0.5b	(* (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
3.3b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
3.3b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
56×	`add-sqr-sqrt`
54×	`sqrt-div`
36×	`pow1`
34×	`sqrt-pow1`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`sin-mult`
18×	`pow1/2` `swap-sqr`
12×	`associate-r` `associate-l`
10×	`flip3-+` `frac-add` `pow-prod-up` `flip-+` `unswap-sqr`
9×	`frac-times`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-prod-down` `pow-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l/` `associate-r/`
2×	`pow2` `rem-sqrt-square` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`rem-square-sqrt` `sqrt-unprod` `sqr-sin`

Counts

4 → 153

Calls

4 calls:

22.0ms	(* (sin ky) (sin ky))
107.0ms	(* (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
12.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
22.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sin ky) (sin ky))
109.0ms	(* (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
123.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
96.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

simplify1.2s

Counts

165 → 165

Iterations

Iter	Nodes
done	2000
3	2000
2	1264
1	418
0	192

prune951.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 9.4b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
3.3b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
3.3b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
3.3b	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

rewrite100.0ms

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:

21.0ms	(cbrt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
23.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
23.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
30.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (/ (sin ky) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
122.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
97.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
109.0ms	(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	2001
3	2001
2	731
1	314
0	172

prune699.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 9.4b

regimes1.0s

Accuracy

0% (1.6b remaining)

Error of 13.0b against oracle of 11.3b and baseline of 13.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample11.7s

Algorithm

intervals

Results

6.5s	2761×	body	1280	valid
2.9s	1858×	body	640	valid
1.1s	762×	body	320	valid
705.0ms	2289×	body	80	valid
199.0ms	330×	body	160	valid