Details

Time bar (total: 38.3s)

sample139.0ms

Algorithm
intervals
Results
106.0ms256×body80valid

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
57482
41754
3519
2162
155
022

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ l (/ Om 2)) (/ l (/ Om 2)))
0.3b
(* (sin kx) (sin kx))
2.0b
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
8.2b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
282×times-frac
188×add-sqr-sqrt
149×*-un-lft-identity add-cube-cbrt
47×swap-sqr associate-*r* associate-*l*
42×add-cbrt-cube add-exp-log
19×pow1
18×cbrt-undiv div-exp
16×div-inv
10×prod-exp cbrt-unprod unswap-sqr
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ associate-*r/ fma-udef sqr-sin sin-mult
Counts
4 → 235
Calls
4 calls:
40.0ms
(* (/ l (/ Om 2)) (/ l (/ Om 2)))
22.0ms
(* (sin kx) (sin kx))
0.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
5.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

series556.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ l (/ Om 2)) (/ l (/ Om 2)))
33.0ms
(* (sin kx) (sin kx))
194.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
290.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

simplify3.7s

Counts
247 → 247
Iterations
IterNodes
26147
11474
0423

prune4.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize51.0ms

Local error

Found 4 expressions with local error:

7.4b
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
7.4b
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
8.2b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
8.2b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-prod
16×add-sqr-sqrt
10×pow1 *-un-lft-identity sqrt-pow1 add-cube-cbrt
6×rem-sqrt-square pow1/2
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 76
Calls
4 calls:
3.0ms
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
2.0ms
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
1.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
1.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

series1.5s

Counts
4 → 12
Calls
4 calls:
392.0ms
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
452.0ms
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
325.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
310.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

simplify2.2s

Counts
88 → 88
Iterations
IterNodes
42753
3747
2304
1143
081

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize69.0ms

Local error

Found 4 expressions with local error:

2.0b
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
7.4b
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
8.2b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
8.2b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-prod
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-pow1
4×expm1-log1p-u rem-sqrt-square add-cbrt-cube pow1/2 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×fma-udef
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
2.0ms
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
8.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
1.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

series1.1s

Counts
4 → 12
Calls
4 calls:
168.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
326.0ms
(sqrt (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
280.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
309.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

simplify7.8s

Counts
77 → 77
Iterations
IterNodes
47912
31734
2484
1188
099

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize112.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin kx) (sin kx))
2.0b
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) 1)
8.2b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) 1))
35.3b
(posit16->real (real->posit16 (* (sin kx) (sin kx))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt pow1
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×swap-sqr associate-*r* associate-*l* sqrt-prod
1×pow2 rem-sqrt-square sqrt-pow1 pow-plus pow1/2 pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef sqr-sin remove-posit16 sin-mult unswap-sqr
Counts
4 → 68
Calls
4 calls:
23.0ms
(* (sin kx) (sin kx))
0.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) 1)
3.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) 1))
1.0ms
(posit16->real (real->posit16 (* (sin kx) (sin kx))))

series593.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (sin kx) (sin kx))
200.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) 1)
320.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) 1))
34.0ms
(posit16->real (real->posit16 (* (sin kx) (sin kx))))

simplify962.0ms

Counts
80 → 80
Iterations
IterNodes
32085
2591
1239
0115

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

regimes432.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.7b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
225
125
021

end0.0ms

sample3.7s

Algorithm
intervals
Results
3.4s8000×body80valid