Details

Time bar (total: 1.2m)

sample127.0ms

Algorithm
intervals
Results
97.0ms256×body80valid

simplify344.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
343.0ms
(sqrt (* (/ 1 2) (+ 1 (/ 1 (sqrt (+ 1 (* (pow (/ (* 2 l) Om) 2) (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize71.0ms

Local error

Found 4 expressions with local error:

8.0b
(sqrt (fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
1.7b
(fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
0.3b
(* (sin kx) (sin kx))
0.3b
(* (/ (* l 2) Om) (/ (* l 2) Om))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
42×add-cbrt-cube add-exp-log
22×add-sqr-sqrt
19×pow1
17×*-un-lft-identity add-cube-cbrt
16×prod-exp cbrt-unprod
12×cbrt-undiv times-frac div-exp
10×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×sqrt-prod
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ associate-*r/ fma-udef sqr-sin sin-mult
Counts
4 → 116
Calls
4 calls:
Slowest
54.0ms
(* (/ (* l 2) Om) (/ (* l 2) Om))
20.0ms
(* (sin kx) (sin kx))
4.0ms
(sqrt (fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
0.0ms
(fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)

series630.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
358.0ms
(sqrt (fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
207.0ms
(fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)
42.0ms
(* (/ (* l 2) Om) (/ (* l 2) Om))
22.0ms
(* (sin kx) (sin kx))

simplify28.4s

Counts
138 → 128
Calls
138 calls:
Slowest
883.0ms
(* (* (fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1) (fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)) (fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1))
845.0ms
(exp (sqrt (fma (* (/ (* l 2) Om) (/ (* l 2) Om)) (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) 1)))
824.0ms
(* (/ (* l 2) Om) (/ (* l 2) Om))
723.0ms
(* (/ (* (* (* l 2) (* l 2)) (* l 2)) (* (* Om Om) Om)) (/ (* (* (* l l) l) (* (* 2 2) 2)) (* (* Om Om) Om)))
699.0ms
(* (/ (* (* (* l l) l) (* (* 2 2) 2)) (* (* Om Om) Om)) (/ (* (* (* l 2) (* l 2)) (* l 2)) (* (* Om Om) Om)))

prune2.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize88.0ms

Local error

Found 4 expressions with local error:

8.0b
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))
3.1b
(/ (* (sin ky) l) Om)
3.1b
(/ (* (sin ky) l) Om)
2.9b
(/ (* l (sin kx)) Om)

rewrite57.0ms

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:
Slowest
21.0ms
(/ (* (sin ky) l) Om)
19.0ms
(/ (* (sin ky) l) Om)
12.0ms
(/ (* l (sin kx)) Om)
3.0ms
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))

series622.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
365.0ms
(sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))
97.0ms
(/ (* l (sin kx)) Om)
81.0ms
(/ (* (sin ky) l) Om)
80.0ms
(/ (* (sin ky) l) Om)

simplify9.8s

Counts
113 → 100
Calls
113 calls:
Slowest
400.0ms
(* (* (sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)) (sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))) (sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)))
351.0ms
(real->posit16 (sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)))
333.0ms
(expm1 (sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)))
325.0ms
(exp (sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)))
318.0ms
(cbrt (sqrt (fma 4 (+ (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)))

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize73.0ms

Local error

Found 4 expressions with local error:

8.0b
(sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))
3.1b
(/ (* l (sin ky)) Om)
3.1b
(/ (* (sin ky) l) Om)
2.9b
(/ (* l (sin kx)) Om)

rewrite51.0ms

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:
Slowest
23.0ms
(/ (* l (sin ky)) Om)
13.0ms
(/ (* (sin ky) l) Om)
11.0ms
(/ (* l (sin kx)) Om)
2.0ms
(sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))

series657.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
360.0ms
(sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))
102.0ms
(/ (* l (sin ky)) Om)
101.0ms
(/ (* l (sin kx)) Om)
94.0ms
(/ (* (sin ky) l) Om)

simplify11.0s

Counts
113 → 100
Calls
113 calls:
Slowest
507.0ms
(* (* (sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)) (sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))) (sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)))
496.0ms
(log (/ (* l (sin kx)) Om))
400.0ms
(cbrt (sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)))
380.0ms
(* (cbrt (sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))) (cbrt (sqrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1))))
368.0ms
(sqrt (cbrt (fma 4 (+ (* (/ (* l (sin ky)) Om) (/ (* (sin ky) l) Om)) (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om))) 1)))

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize67.0ms

Local error

Found 4 expressions with local error:

3.9b
(log (exp (/ (* l (sin kx)) Om)))
3.1b
(/ (* (sin ky) l) Om)
3.1b
(/ (* (sin ky) l) Om)
2.9b
(/ (* l (sin kx)) Om)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
9×associate-/r*
8×log-pow
7×exp-prod
6×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×log-prod clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×rem-log-exp
Counts
4 → 94
Calls
4 calls:
Slowest
29.0ms
(/ (* l (sin kx)) Om)
23.0ms
(/ (* (sin ky) l) Om)
15.0ms
(/ (* (sin ky) l) Om)
6.0ms
(log (exp (/ (* l (sin kx)) Om)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
83.0ms
(log (exp (/ (* l (sin kx)) Om)))
79.0ms
(/ (* (sin ky) l) Om)
77.0ms
(/ (* (sin ky) l) Om)
73.0ms
(/ (* l (sin kx)) Om)

simplify6.8s

Counts
120 → 106
Calls
120 calls:
Slowest
323.0ms
(* (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (/ (* (sin ky) l) Om))
294.0ms
(* (* (/ (* (sin ky) l) Om) (/ (* (sin ky) l) Om)) (/ (* (sin ky) l) Om))
274.0ms
(* (* (/ (* l (sin kx)) Om) (/ (* l (sin kx)) Om)) (/ (* l (sin kx)) Om))
256.0ms
(- (/ (* kx l) Om) (* 1/6 (/ (* (pow kx 3) l) Om)))
254.0ms
(- (/ (* ky l) Om) (* 1/6 (/ (* (pow ky 3) l) Om)))

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes500.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample3.8s

Algorithm
intervals
Results
3.5s8000×body80valid