Details

Time bar (total: 30.9s)

sample108.0ms

Algorithm
intervals
Results
83.0ms256×body80valid

simplify709.0ms

Counts
1 → 1

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize49.0ms

Local error

Found 4 expressions with local error:

13.1b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
1.7b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
0.3b
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))
0.3b
(* (sin kx) (sin kx))

rewrite479.0ms

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
195.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
149.0ms
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))
114.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
17.0ms
(* (sin kx) (sin kx))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
467.0ms
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))
463.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
294.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
34.0ms
(* (sin kx) (sin kx))

simplify1.3s

Counts
149 → 149

prune2.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize99.0ms

Local error

Found 4 expressions with local error:

35.8b
(posit16->real (real->posit16 (* (sin kx) (sin kx))))
13.1b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
1.7b
(* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
0.3b
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))

rewrite471.0ms

Algorithm
rewrite-expression-head
Rules
53×add-cbrt-cube add-exp-log
25×prod-exp cbrt-unprod
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac
15×sqrt-prod
13×cbrt-undiv div-exp
10×pow1
9×frac-times
6×associate-/r* flip3-+ associate-*r/ flip-+
5×associate-*l/
4×sqrt-div insert-posit16 add-log-exp
3×associate-*l* pow-prod-down associate-/l*
2×associate-/r/
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-*r* *-commutative div-inv remove-posit16 unswap-sqr
Counts
4 → 114
Calls
4 calls:
Slowest
205.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
136.0ms
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))
125.0ms
(* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
1.0ms
(posit16->real (real->posit16 (* (sin kx) (sin kx))))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
435.0ms
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))
431.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
245.0ms
(* (+ (* (sin ky) (sin ky)) (posit16->real (real->posit16 (* (sin kx) (sin kx))))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
34.0ms
(posit16->real (real->posit16 (* (sin kx) (sin kx))))

simplify1.6s

Counts
126 → 126

prune3.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize74.0ms

Local error

Found 4 expressions with local error:

25.9b
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
13.1b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
1.7b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
0.3b
(/ 1/2 (posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))))

rewrite275.0ms

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
139.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
129.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
4.0ms
(/ 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))))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
511.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
446.0ms
(/ 1/2 (posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)))))
435.0ms
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
313.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))

simplify1.2s

Counts
116 → 116

prune3.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize116.0ms

Local error

Found 4 expressions with local error:

26.4b
(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)))))))
25.9b
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
13.1b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
1.7b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))

rewrite255.0ms

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
155.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
97.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
1.0ms
(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)))))))
1.0ms
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
502.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
450.0ms
(posit16->real (real->posit16 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
416.0ms
(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)))))))
304.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))

simplify1.0s

Counts
97 → 97

prune3.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

regimes562.0ms

Accuracy

0% (1.5b remaining)

Error of 2.5b against oracle of 0.9b and baseline of 2.5b

bsearch12.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
3.7s8000×body80valid