Details

Time bar (total: 20.1s)

sample149.0ms

Algorithm
intervals
Results
119.0ms256×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2000
41691
3564
2172
157
022

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin ky) (sin ky))
0.3b
(/ 1/2 (sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)))
2.6b
(fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)
7.1b
(sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
18×times-frac
15×sqrt-prod
12×pow1
8×add-cbrt-cube add-exp-log
6×associate-/r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×swap-sqr associate-*r* associate-*l* associate-/l*
1×pow2 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow-plus pow1/2 div-exp pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef sqr-sin div-inv sin-mult unswap-sqr
Counts
4 → 99
Calls
4 calls:
18.0ms
(* (sin ky) (sin ky))
5.0ms
(/ 1/2 (sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)))
0.0ms
(fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)
3.0ms
(sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1))

series955.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (sin ky) (sin ky))
420.0ms
(/ 1/2 (sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)))
156.0ms
(fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)
352.0ms
(sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1))

simplify1.0s

Counts
111 → 111
Iterations
IterNodes
done2000
31947
2766
1338
0159

prune955.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1/2 (sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1)))
2.6b
(fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1)
7.1b
(sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1))
35.4b
(posit16->real (real->posit16 (* (sin ky) (sin ky))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
15×sqrt-prod
6×associate-/r* add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp fma-udef div-inv remove-posit16
Counts
4 → 80
Calls
4 calls:
12.0ms
(/ 1/2 (sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1)))
0.0ms
(fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1)
1.0ms
(sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1))
0.0ms
(posit16->real (real->posit16 (* (sin ky) (sin ky))))

series962.0ms

Counts
4 → 12
Calls
4 calls:
451.0ms
(/ 1/2 (sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1)))
165.0ms
(fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1)
325.0ms
(sqrt (fma (* (/ (* 2 l) Om) (/ (* 2 l) Om)) (fma (sin kx) (sin kx) (posit16->real (real->posit16 (* (sin ky) (sin ky))))) 1))
21.0ms
(posit16->real (real->posit16 (* (sin ky) (sin ky))))

simplify672.0ms

Counts
92 → 92
Iterations
IterNodes
done2002
2645
1253
0136

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ (* (sin ky) l) Om)
2.7b
(/ (sin kx) (/ Om l))
2.7b
(/ (sin kx) (/ Om l))
7.1b
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
92×add-sqr-sqrt
91×*-un-lft-identity add-cube-cbrt
29×associate-/r*
19×add-cbrt-cube add-exp-log
11×div-inv
8×cbrt-undiv div-exp
7×associate-/l*
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg sqrt-prod
2×associate-/r/
1×rem-sqrt-square sqrt-pow1 pow1/2 prod-exp cbrt-unprod
Counts
4 → 186
Calls
4 calls:
23.0ms
(/ (* (sin ky) l) Om)
13.0ms
(/ (sin kx) (/ Om l))
15.0ms
(/ (sin kx) (/ Om l))
1.0ms
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

series665.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (* (sin ky) l) Om)
95.0ms
(/ (sin kx) (/ Om l))
102.0ms
(/ (sin kx) (/ Om l))
371.0ms
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

simplify975.0ms

Counts
198 → 198
Iterations
IterNodes
done2000
21751
1583
0238

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize100.0ms

Local error

Found 4 expressions with local error:

2.7b
(/ (sin kx) (/ Om l))
2.7b
(/ (sin kx) (/ Om l))
7.1b
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (posit16->real (real->posit16 (/ (* (sin ky) l) Om)))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))
45.3b
(posit16->real (real->posit16 (/ (* (sin ky) l) Om)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
90×add-sqr-sqrt
89×*-un-lft-identity add-cube-cbrt
26×associate-/r*
14×add-cbrt-cube add-exp-log
10×div-inv
6×cbrt-undiv div-exp associate-/l*
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod
2×clear-num frac-2neg associate-/r/
1×rem-sqrt-square sqrt-pow1 pow1/2 remove-posit16
Counts
4 → 173
Calls
4 calls:
19.0ms
(/ (sin kx) (/ Om l))
18.0ms
(/ (sin kx) (/ Om l))
2.0ms
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (posit16->real (real->posit16 (/ (* (sin ky) l) Om)))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))
0.0ms
(posit16->real (real->posit16 (/ (* (sin ky) l) Om)))

series695.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (sin kx) (/ Om l))
117.0ms
(/ (sin kx) (/ Om l))
395.0ms
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (posit16->real (real->posit16 (/ (* (sin ky) l) Om)))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))
89.0ms
(posit16->real (real->posit16 (/ (* (sin ky) l) Om)))

simplify1.3s

Counts
185 → 185
Iterations
IterNodes
done2001
21502
1505
0218

prune2.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

regimes548.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done26
126
021

end0.0ms

sample4.0s

Algorithm
intervals
Results
3.7s8000×body80valid