Details

Time bar (total: 26.1s)

sample184.0ms

Algorithm
intervals
Results
146.0ms256×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
57379
41765
3524
2164
157
022

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
0.4b
(/ 1/2 (sqrt (fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)))
2.4b
(fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)
8.0b
(sqrt (fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1))

rewrite14.0ms

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*
2×fma-udef
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 80
Calls
4 calls:
0.0ms
(fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
7.0ms
(/ 1/2 (sqrt (fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)))
0.0ms
(fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)
3.0ms
(sqrt (fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1))

series982.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
392.0ms
(/ 1/2 (sqrt (fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)))
165.0ms
(fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1)
327.0ms
(sqrt (fma (* (* (/ l Om) (/ l Om)) 4) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) 1))

simplify938.0ms

Counts
92 → 92
Iterations
IterNodes
32044
2593
1238
0132

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize59.0ms

Local error

Found 4 expressions with local error:

2.5b
(/ (* (sin kx) l) Om)
4.0b
(/ (* l (sin ky)) Om)
4.0b
(/ (* l (sin ky)) Om)
8.0b
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (/ (* l (sin ky)) Om) (/ (* l (sin ky)) Om))) 1))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×associate-/r* times-frac
6×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg prod-exp sqrt-prod cbrt-unprod div-inv associate-/l*
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 88
Calls
4 calls:
13.0ms
(/ (* (sin kx) l) Om)
30.0ms
(/ (* l (sin ky)) Om)
23.0ms
(/ (* l (sin ky)) Om)
3.0ms
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (/ (* l (sin ky)) Om) (/ (* l (sin ky)) Om))) 1))

series663.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (* (sin kx) l) Om)
89.0ms
(/ (* l (sin ky)) Om)
96.0ms
(/ (* l (sin ky)) Om)
384.0ms
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (/ (* l (sin ky)) Om) (/ (* l (sin ky)) Om))) 1))

simplify1.5s

Counts
100 → 100
Iterations
IterNodes
34077
21039
1315
0133

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize71.0ms

Local error

Found 4 expressions with local error:

4.0b
(/ (* l (sin ky)) Om)
4.0b
(/ (* l (sin ky)) Om)
8.0b
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (posit16->real (real->posit16 (/ (* l (sin ky)) Om))) (/ (* l (sin ky)) Om))) 1))
46.7b
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
6×associate-/r* times-frac
5×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod
2×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
1×rem-sqrt-square sqrt-pow1 pow1/2 remove-posit16
Counts
4 → 75
Calls
4 calls:
22.0ms
(/ (* l (sin ky)) Om)
21.0ms
(/ (* l (sin ky)) Om)
1.0ms
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (posit16->real (real->posit16 (/ (* l (sin ky)) Om))) (/ (* l (sin ky)) Om))) 1))
0.0ms
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (* l (sin ky)) Om)
78.0ms
(/ (* l (sin ky)) Om)
354.0ms
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (posit16->real (real->posit16 (/ (* l (sin ky)) Om))) (/ (* l (sin ky)) Om))) 1))
103.0ms
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))

simplify880.0ms

Counts
87 → 87
Iterations
IterNodes
32213
2624
1224
0107

prune2.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize83.0ms

Local error

Found 4 expressions with local error:

4.0b
(/ (* l (sin ky)) Om)
8.0b
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (posit16->real (real->posit16 (/ (* l (sin ky)) Om))) (posit16->real (real->posit16 (/ (* l (sin ky)) Om))))) 1))
46.7b
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))
46.7b
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* times-frac sqrt-prod
2×cbrt-undiv div-exp remove-posit16
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 prod-exp cbrt-unprod div-inv associate-/l*
Counts
4 → 62
Calls
4 calls:
22.0ms
(/ (* l (sin ky)) Om)
1.0ms
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (posit16->real (real->posit16 (/ (* l (sin ky)) Om))) (posit16->real (real->posit16 (/ (* l (sin ky)) Om))))) 1))
0.0ms
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))
0.0ms
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))

series611.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ (* l (sin ky)) Om)
361.0ms
(sqrt (fma 4 (+ (* (/ (* (sin kx) l) Om) (/ (* (sin kx) l) Om)) (* (posit16->real (real->posit16 (/ (* l (sin ky)) Om))) (posit16->real (real->posit16 (/ (* l (sin ky)) Om))))) 1))
103.0ms
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))
77.0ms
(posit16->real (real->posit16 (/ (* l (sin ky)) Om)))

simplify818.0ms

Counts
74 → 74
Iterations
IterNodes
32221
2613
1220
0106

prune2.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes604.0ms

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
227
127
021

end0.0ms

sample3.7s

Algorithm
intervals
Results
3.4s8000×body80valid