Details

Time bar (total: 26.2s)

sample224.0ms

Algorithm
intervals
Results
189.0ms256×body80valid

simplify4.4s

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

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize87.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ l (/ Om 2)) (/ l (/ Om 2)))
0.3b
(* (sin kx) (sin kx))
1.2b
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
7.8b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
282×times-frac
188×add-sqr-sqrt
149×*-un-lft-identity add-cube-cbrt
47×swap-sqr associate-*r* associate-*l*
42×add-cbrt-cube add-exp-log
19×pow1
18×cbrt-undiv div-exp
16×div-inv
10×prod-exp cbrt-unprod unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ associate-*r/ fma-udef sqr-sin sin-mult
Counts
4 → 231
Calls
4 calls:
35.0ms
(* (/ l (/ Om 2)) (/ l (/ Om 2)))
20.0ms
(* (sin kx) (sin kx))
0.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
4.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

series652.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (/ l (/ Om 2)) (/ l (/ Om 2)))
34.0ms
(* (sin kx) (sin kx))
213.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
343.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

simplify3.7s

Counts
243 → 243
Iterations
IterNodes
26184
11476
0419

prune4.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin kx) (sin kx))
0.5b
(log (exp (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))))
1.2b
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
7.8b
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×pow1
12×*-un-lft-identity add-cube-cbrt
7×log-pow
6×exp-prod add-cbrt-cube add-exp-log sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×log-prod swap-sqr associate-*r* associate-*l*
1×pow2 rem-sqrt-square sqrt-pow1 pow-plus pow1/2 rem-log-exp pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef sqr-sin sin-mult unswap-sqr
Counts
4 → 74
Calls
4 calls:
27.0ms
(* (sin kx) (sin kx))
5.0ms
(log (exp (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)
2.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

series864.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (sin kx) (sin kx))
306.0ms
(log (exp (sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))))
208.0ms
(fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
317.0ms
(sqrt (fma (* (/ l (/ Om 2)) (/ l (/ Om 2))) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))

simplify5.9s

Counts
86 → 86
Iterations
IterNodes
48666
31897
2609
1256
0128

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.2b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.2b

regimes366.0ms

Accuracy

0% (0.3b remaining)

Error of 1.5b against oracle of 1.2b and baseline of 1.5b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
220
120
019

end0.0ms

sample3.7s

Algorithm
intervals
Results
3.4s8000×body80valid