Details

Time bar (total: 36.1s)

sample93.0ms

Algorithm
intervals
Results
72.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5005
41812
3494
2160
157
022

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin ky) (sin ky))
0.4b
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om))) 1)))
3.2b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om)))
10.4b
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om))) 1))

rewrite530.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×add-cbrt-cube add-exp-log
25×*-un-lft-identity add-cube-cbrt
18×times-frac
17×pow1
15×sqrt-prod
13×frac-times
10×prod-exp cbrt-unprod
9×sin-mult
7×associate-*l/ associate-*r/
6×associate-/r* flip3-+ associate-*l* flip-+
5×cbrt-undiv div-exp
4×sqrt-div associate-*r* pow-prod-down frac-add insert-posit16 add-log-exp
3×swap-sqr associate-/l*
2×associate-/r/ *-commutative unswap-sqr
1×pow2 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow-plus pow1/2 pow-sqr pow-prod-up sqr-sin div-inv
Counts
4 → 127
Calls
4 calls:
25.0ms
(* (sin ky) (sin ky))
172.0ms
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om))) 1)))
149.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om)))
178.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om))) 1))

series1.2s

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (sin ky) (sin ky))
442.0ms
(/ 1/2 (sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om))) 1)))
297.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om)))
477.0ms
(sqrt (+ (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (* (/ (+ l l) Om) (/ (+ l l) Om))) 1))

simplify2.5s

Counts
139 → 139
Iterations
IterNodes
done5008
22698
1691
0260

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin ky) (sin ky))
0.4b
(/ 1/2 (sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om)) (/ (+ l l) Om)) 1)))
2.8b
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om))
10.4b
(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om)) (/ (+ l l) Om)) 1))

rewrite575.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
59×*-un-lft-identity
55×times-frac
53×add-cube-cbrt
43×associate-*r*
15×sqrt-prod
14×pow1
13×add-cbrt-cube add-exp-log
9×distribute-rgt-out distribute-lft-out
6×associate-/r* associate-*l*
5×sin-mult
4×flip3-+ sqrt-div flip-+ insert-posit16 add-log-exp
3×frac-times distribute-lft1-in count-2 swap-sqr associate-*l/ distribute-rgt1-in prod-exp cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down frac-add associate-/r/ *-commutative div-inv
1×pow2 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow-plus pow1/2 associate-*r/ pow-sqr pow-prod-up sqr-sin
Counts
4 → 152
Calls
4 calls:
18.0ms
(* (sin ky) (sin ky))
272.0ms
(/ 1/2 (sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om)) (/ (+ l l) Om)) 1)))
72.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om))
207.0ms
(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om)) (/ (+ l l) Om)) 1))

series1.1s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (sin ky) (sin ky))
413.0ms
(/ 1/2 (sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om)) (/ (+ l l) Om)) 1)))
185.0ms
(* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om))
485.0ms
(sqrt (+ (* (* (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) (/ (+ l l) Om)) (/ (+ l l) Om)) 1))

simplify3.0s

Counts
164 → 164
Iterations
IterNodes
done5002
23054
1779
0294

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt Om)
0.5b
(cbrt Om)
0.7b
(* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om)))
10.4b
(sqrt (+ (* (* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om))) (/ (+ l l) Om)) 1))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
127×cbrt-prod
94×times-frac associate-*r*
90×add-sqr-sqrt
87×*-un-lft-identity
75×add-cube-cbrt
71×associate-*l/
23×frac-times
18×distribute-rgt-out frac-add distribute-lft-out
13×associate-*r/
9×add-exp-log
7×pow1 add-cbrt-cube
6×distribute-lft1-in count-2 distribute-rgt1-in
5×unswap-sqr
4×insert-posit16 add-log-exp
3×flip3-+ associate-*l* sqrt-prod flip-+
2×pow1/3 sqrt-div prod-exp cbrt-unprod
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down *-commutative div-inv
Counts
4 → 179
Calls
4 calls:
1.0ms
(cbrt Om)
1.0ms
(cbrt Om)
748.0ms
(* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om)))
1.5s
(sqrt (+ (* (* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om))) (/ (+ l l) Om)) 1))

series2.5s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt Om)
257.0ms
(cbrt Om)
1.2s
(* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om)))
737.0ms
(sqrt (+ (* (* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om))) (/ (+ l l) Om)) 1))

simplify3.3s

Counts
191 → 191
Iterations
IterNodes
done5001
23847
11066
0392

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize94.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt Om)
0.5b
(cbrt Om)
0.7b
(* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om)))
10.4b
(sqrt (+ (* (* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om))) (/ (+ l l) Om)) 1))

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
127×cbrt-prod
94×times-frac associate-*r*
90×add-sqr-sqrt
87×*-un-lft-identity
75×add-cube-cbrt
71×associate-*l/
23×frac-times
18×distribute-rgt-out frac-add distribute-lft-out
13×associate-*r/
9×add-exp-log
7×pow1 add-cbrt-cube
6×distribute-lft1-in count-2 distribute-rgt1-in
5×unswap-sqr
4×insert-posit16 add-log-exp
3×flip3-+ associate-*l* sqrt-prod flip-+
2×pow1/3 sqrt-div prod-exp cbrt-unprod
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down *-commutative div-inv
Counts
4 → 179
Calls
4 calls:
1.0ms
(cbrt Om)
1.0ms
(cbrt Om)
739.0ms
(* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om)))
1.5s
(sqrt (+ (* (* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om))) (/ (+ l l) Om)) 1))

series2.4s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt Om)
302.0ms
(cbrt Om)
1.1s
(* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om)))
672.0ms
(sqrt (+ (* (* (+ (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin kx))) (* (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)) (* (/ (cbrt (+ l l)) (cbrt Om)) (sin ky)))) (/ (cbrt (+ l l)) (cbrt Om))) (/ (+ l l) Om)) 1))

simplify3.4s

Counts
191 → 191
Iterations
IterNodes
done5001
23847
11066
0392

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes545.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done34
134
025

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.2s8000×body80valid