Details

Time bar (total: 23.3s)

sample256.0ms

Algorithm
intervals
Results
219.0ms256×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2008
52008
41812
3494
2160
157
022

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize82.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin ky) (sin ky))
0.3b
(* (/ (* l 2) Om) (/ (* l 2) Om))
2.5b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
11.1b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
89×add-cbrt-cube add-exp-log
41×prod-exp cbrt-unprod
24×add-sqr-sqrt pow1 cbrt-undiv div-exp
18×*-un-lft-identity add-cube-cbrt
14×frac-times
13×associate-*l*
12×times-frac
11×associate-*r*
10×swap-sqr
9×sin-mult
8×associate-*l/ associate-*r/
5×flip3-+ pow-prod-down flip-+
4×frac-add insert-posit16 div-inv add-log-exp
3×*-commutative sqrt-prod unswap-sqr
2×pow2 pow-plus sqrt-div pow-sqr pow-prod-up
1×rem-sqrt-square sqrt-pow1 pow1/2 sqr-sin
Counts
4 → 152
Calls
4 calls:
12.0ms
(* (sin ky) (sin ky))
33.0ms
(* (/ (* l 2) Om) (/ (* l 2) Om))
124.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
147.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

series837.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (sin ky) (sin ky))
60.0ms
(* (/ (* l 2) Om) (/ (* l 2) Om))
255.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om)))
489.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

simplify1.1s

Counts
164 → 164
Iterations
IterNodes
done2002
22002
1857
0275

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize100.0ms

Local error

Found 4 expressions with local error:

8.9b
(sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
15.3b
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
15.3b
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
15.3b
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

rewrite615.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1
9×cbrt-prod sqrt-pow1 flip3-+ pow1/3 flip-+
8×sqrt-div
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×frac-times add-cbrt-cube add-exp-log insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 rem-sqrt-square pow-plus pow1/2 sqrt-prod
Counts
4 → 70
Calls
4 calls:
311.0ms
(sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
100.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
122.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
81.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

series1.3s

Counts
4 → 12
Calls
4 calls:
335.0ms
(sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))
328.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
295.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
363.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))

simplify1.8s

Counts
82 → 82
Iterations
IterNodes
done2001
32001
2572
1226
0119

prune960.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize129.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
15.3b
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
15.3b
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
27.1b
(posit16->real (real->posit16 (sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-div
4×pow1 add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×flip3-+ pow1/3 flip-+
1×remove-posit16
Counts
4 → 51
Calls
4 calls:
90.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
96.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
121.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
0.0ms
(posit16->real (real->posit16 (sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
321.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
351.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
325.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
328.0ms
(posit16->real (real->posit16 (sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))))

simplify1.3s

Counts
63 → 63
Iterations
IterNodes
done2005
32005
2495
1172
084

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize171.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
15.3b
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
27.1b
(posit16->real (real->posit16 (sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))))
27.1b
(posit16->real (real->posit16 (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 cbrt-div add-cbrt-cube add-exp-log insert-posit16 add-log-exp
2×flip3-+ pow1/3 flip-+ remove-posit16
Counts
4 → 46
Calls
4 calls:
81.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
97.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
0.0ms
(posit16->real (real->posit16 (sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))))
1.0ms
(posit16->real (real->posit16 (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))

series1.3s

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
319.0ms
(cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))
277.0ms
(posit16->real (real->posit16 (sqrt (* (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1)) (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))))
376.0ms
(posit16->real (real->posit16 (cbrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (* l 2) Om) (/ (* l 2) Om))) 1))))

simplify1.5s

Counts
58 → 58
Iterations
IterNodes
done2000
32000
2520
1185
093

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes565.0ms

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.9b and baseline of 1.7b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.6s7999×body80valid
0.0ms1×body160valid