Details

Time bar (total: 25.8s)

sample190.0ms

Algorithm
intervals
Results
149.0ms256×body80valid

simplify1.2s

Counts
1 → 1

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize87.0ms

Local error

Found 4 expressions with local error:

9.4b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
3.0b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
0.4b
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))
0.2b
(* (sin kx) (sin kx))

rewrite407.0ms

Algorithm
rewrite-expression-head
Rules
55×add-cbrt-cube add-exp-log
29×add-sqr-sqrt
26×prod-exp cbrt-unprod
25×*-un-lft-identity add-cube-cbrt
18×times-frac
17×pow1
15×sqrt-prod
13×frac-times cbrt-undiv div-exp
9×sin-mult
7×associate-*l/ associate-*r/
6×associate-/r* flip3-+ associate-*l* flip-+
4×sqrt-div associate-*r* pow-prod-down frac-add insert-posit16 add-log-exp
3×swap-sqr associate-/l*
2×associate-/r/ *-commutative unswap-sqr
1×pow2 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow-plus pow1/2 pow-sqr pow-prod-up sqr-sin div-inv
Counts
4 → 137
Calls
4 calls:
Slowest
160.0ms
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))
146.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
84.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
11.0ms
(* (sin kx) (sin kx))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
491.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
377.0ms
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))
270.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
24.0ms
(* (sin kx) (sin kx))

simplify1.4s

Counts
149 → 149

prune3.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize87.0ms

Local error

Found 4 expressions with local error:

20.9b
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
9.4b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
3.0b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
0.4b
(/ 1/2 (posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
53×add-cbrt-cube add-exp-log
25×prod-exp cbrt-unprod
16×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
13×frac-times cbrt-undiv div-exp
10×pow1
9×times-frac
8×sin-mult
7×associate-*l/ associate-*r/
5×flip3-+ flip-+
4×frac-add insert-posit16 add-log-exp
3×associate-/r* associate-*l* pow-prod-down sqrt-prod associate-/l*
2×sqrt-div
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-*r* *-commutative div-inv remove-posit16 unswap-sqr
Counts
4 → 104
Calls
4 calls:
Slowest
169.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
101.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
7.0ms
(/ 1/2 (posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))))
1.0ms
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
452.0ms
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
426.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
409.0ms
(/ 1/2 (posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))))
291.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))

simplify1.1s

Counts
116 → 116

prune3.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize101.0ms

Local error

Found 4 expressions with local error:

21.6b
(posit16->real (real->posit16 (/ 1/2 (posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))))))
20.9b
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
9.4b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
3.0b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
51×add-cbrt-cube add-exp-log
25×prod-exp cbrt-unprod
13×frac-times
12×cbrt-undiv div-exp
10×pow1
8×add-sqr-sqrt sin-mult
7×associate-*l/ associate-*r/
6×*-un-lft-identity add-cube-cbrt
5×flip3-+ flip-+
4×frac-add insert-posit16 add-log-exp
3×associate-*l* pow-prod-down sqrt-prod
2×sqrt-div remove-posit16
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative unswap-sqr
Counts
4 → 85
Calls
4 calls:
Slowest
145.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
91.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
0.0ms
(posit16->real (real->posit16 (/ 1/2 (posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))))))
0.0ms
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
482.0ms
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
476.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
336.0ms
(posit16->real (real->posit16 (/ 1/2 (posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))))))
289.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))

simplify885.0ms

Counts
97 → 97

prune4.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.3b

regimes432.0ms

Accuracy

0% (0.8b remaining)

Error of 1.6b against oracle of 0.8b and baseline of 1.6b

bsearch9.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.8s8000×body80valid