Details

sample263.0ms

Algorithm

intervals

Results

227.0ms

256×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
5	7036
4	1661
3	470
2	154
1	55
0	22

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize95.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin ky) (sin ky))
0.3b	(* (sin kx) (sin kx))
1.7b	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
7.8b	(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-cbrt-cube` `add-exp-log`
27×	`prod-exp` `cbrt-unprod`
24×	`pow1`
20×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`frac-times`
12×	`cbrt-undiv` `div-exp`
10×	`sin-mult`
9×	`associate-l`
7×	`associate-r` `associate-l/` `associate-r/`
6×	`swap-sqr`
5×	`flip3-+` `pow-prod-down` `flip-+`
4×	`frac-add` `add-log-exp`
3×	`*-commutative` `sqrt-prod` `unswap-sqr`
2×	`pow2` `pow-plus` `sqrt-div` `pow-sqr` `pow-prod-up` `sqr-sin`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 119

Calls

4 calls:

10.0ms	(* (sin ky) (sin ky))
10.0ms	(* (sin kx) (sin kx))
71.0ms	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
118.0ms	(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

series781.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (sin ky) (sin ky))
33.0ms	(* (sin kx) (sin kx))
249.0ms	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
479.0ms	(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
2	3383
1	775
0	260

prune2.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om))
0.3b	(* (sin kx) (sin kx))
1.9b	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om))
7.8b	(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-cbrt-cube` `add-exp-log`
33×	`prod-exp` `cbrt-unprod`
19×	`add-sqr-sqrt` `pow1`
17×	`associate-r`
16×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`sin-mult`
7×	`flip3-+` `associate-l` `flip-+`
6×	`times-frac` `frac-add`
5×	`pow-prod-down`
4×	`associate-*r/` `add-log-exp`
3×	`swap-sqr` `*-commutative` `sqrt-prod`
2×	`sqrt-div` `div-inv` `unswap-sqr`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `pow-sqr` `pow-prod-up` `sqr-sin`

Counts

4 → 132

Calls

4 calls:

157.0ms	(* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om))
18.0ms	(* (sin kx) (sin kx))
73.0ms	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om))
120.0ms	(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))

series1.4s

Counts

4 → 12

Calls

4 calls:

681.0ms	(* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om))
39.0ms	(* (sin kx) (sin kx))
182.0ms	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om))
447.0ms	(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))

simplify1.7s

Counts

144 → 144

Iterations

Iter	Nodes
2	3134
1	795
0	266

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin kx) (sin kx))
0.5b	(log (exp (sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))))
1.9b	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om))
7.8b	(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-r`
7×	`log-pow`
6×	`exp-prod` `associate-l` `sqrt-prod`
5×	`prod-exp` `cbrt-unprod` `sin-mult`
4×	`add-log-exp`
3×	`frac-times` `log-prod` `flip3-+` `times-frac` `swap-sqr` `associate-*l/` `flip-+`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `unswap-sqr`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `rem-log-exp` `associate-*r/` `pow-sqr` `pow-prod-up` `sqr-sin` `div-inv`

Counts

4 → 93

Calls

4 calls:

10.0ms	(* (sin kx) (sin kx))
231.0ms	(log (exp (sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))))
51.0ms	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om))
149.0ms	(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))

series1.2s

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (sin kx) (sin kx))
462.0ms	(log (exp (sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))))
209.0ms	(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om))
474.0ms	(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (* l 2) Om)) (/ (* l 2) Om)) 1))

simplify8.0s

Counts

105 → 105

Iterations

Iter	Nodes
3	7988
2	1822
1	550
0	218

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.1b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.1b

regimes328.0ms

Accuracy

0% (0.1b remaining)

Error of 1.2b against oracle of 1.2b and baseline of 1.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	27
1	27
0	21

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.4s

8000×

body

valid