Details

Time bar (total: 38.5s)

sample169.0ms

Algorithm
intervals
Results
136.0ms256×body80valid

simplify4.9s

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin kx) (sin kx))
0.3b
(/ 1/2 (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
2.6b
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
8.5b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

rewrite34.0ms

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:
13.0ms
(* (sin kx) (sin kx))
4.0ms
(/ 1/2 (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
0.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
3.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

series1.0s

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (sin kx) (sin kx))
465.0ms
(/ 1/2 (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
183.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
358.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

simplify1.1s

Counts
111 → 111
Iterations
IterNodes
32245
2759
1315
0159

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize59.0ms

Local error

Found 4 expressions with local error:

1.3b
(/ l (/ Om (sin ky)))
2.7b
(/ (sin kx) (/ Om l))
2.7b
(/ (sin kx) (/ Om l))
8.5b
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (/ l (/ Om (sin ky)))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
132×add-sqr-sqrt
131×*-un-lft-identity add-cube-cbrt
39×associate-/r*
19×add-cbrt-cube add-exp-log
15×div-inv
9×cbrt-undiv div-exp associate-/l*
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-/r/ sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 235
Calls
4 calls:
13.0ms
(/ l (/ Om (sin ky)))
19.0ms
(/ (sin kx) (/ Om l))
28.0ms
(/ (sin kx) (/ Om l))
2.0ms
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (/ l (/ Om (sin ky)))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

series633.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ l (/ Om (sin ky)))
103.0ms
(/ (sin kx) (/ Om l))
114.0ms
(/ (sin kx) (/ Om l))
328.0ms
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (/ l (/ Om (sin ky)))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

simplify998.0ms

Counts
247 → 247
Iterations
IterNodes
22324
1806
0330

prune4.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize59.0ms

Local error

Found 4 expressions with local error:

1.3b
(/ l (/ Om (sin ky)))
2.7b
(/ (sin kx) (/ Om l))
2.7b
(/ (sin kx) (/ Om l))
8.5b
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (* 1 (/ l (/ Om (sin ky))))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
132×add-sqr-sqrt
131×*-un-lft-identity add-cube-cbrt
39×associate-/r*
19×add-cbrt-cube add-exp-log
15×div-inv
9×cbrt-undiv div-exp associate-/l*
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-/r/ sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 235
Calls
4 calls:
12.0ms
(/ l (/ Om (sin ky)))
10.0ms
(/ (sin kx) (/ Om l))
10.0ms
(/ (sin kx) (/ Om l))
1.0ms
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (* 1 (/ l (/ Om (sin ky))))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

series638.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ l (/ Om (sin ky)))
94.0ms
(/ (sin kx) (/ Om l))
105.0ms
(/ (sin kx) (/ Om l))
338.0ms
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (* 1 (/ l (/ Om (sin ky))))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))

simplify1.1s

Counts
247 → 247
Iterations
IterNodes
22349
1813
0332

prune4.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize119.0ms

Local error

Found 4 expressions with local error:

2.7b
(/ (sin kx) (/ Om l))
2.7b
(/ (sin kx) (/ Om l))
8.5b
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (posit16->real (real->posit16 (/ l (/ Om (sin ky)))))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))
44.9b
(posit16->real (real->posit16 (/ l (/ Om (sin ky)))))

rewrite34.0ms

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:
11.0ms
(/ (sin kx) (/ Om l))
15.0ms
(/ (sin kx) (/ Om l))
1.0ms
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (posit16->real (real->posit16 (/ l (/ Om (sin ky)))))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))
0.0ms
(posit16->real (real->posit16 (/ l (/ Om (sin ky)))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ (sin kx) (/ Om l))
85.0ms
(/ (sin kx) (/ Om l))
314.0ms
(sqrt (fma 4 (+ (* (/ l (/ Om (sin ky))) (posit16->real (real->posit16 (/ l (/ Om (sin ky)))))) (* (/ (sin kx) (/ Om l)) (/ (sin kx) (/ Om l)))) 1))
126.0ms
(posit16->real (real->posit16 (/ l (/ Om (sin ky)))))

simplify6.3s

Counts
185 → 185
Iterations
IterNodes
35036
21628
1497
0218

prune5.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes702.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
226
126
022

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.6s8000×body80valid