Details

Time bar (total: 5.0s)

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ y 200.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 sub-neg times-frac flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
1 → 16
Calls
1 calls:
9.0ms
(- x (/ y 200.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- x (/ y 200.0))

simplify752.0ms

Counts
19 → 19
Iterations
IterNodes
done2001
41086
3418
2187
185
040

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y 200.0))
0.0b
(sqrt (- x (/ y 200.0)))
0.0b
(sqrt (- x (/ y 200.0)))
0.2b
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
46×sqrt-prod
34×*-un-lft-identity
21×pow1
16×sqrt-div
14×add-cube-cbrt difference-of-squares
13×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-- associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-cbrt-cube add-exp-log add-log-exp
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 sub-neg rem-square-sqrt pow-plus sqrt-unprod diff-log prod-exp *-commutative cbrt-unprod
Counts
4 → 123
Calls
4 calls:
5.0ms
(- x (/ y 200.0))
7.0ms
(sqrt (- x (/ y 200.0)))
9.0ms
(sqrt (- x (/ y 200.0)))
61.0ms
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

series308.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- x (/ y 200.0))
109.0ms
(sqrt (- x (/ y 200.0)))
111.0ms
(sqrt (- x (/ y 200.0)))
40.0ms
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

simplify723.0ms

Counts
135 → 135
Iterations
IterNodes
done2000
31478
2646
1270
0134

prune430.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

2.2b
(+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0))))
2.5b
(+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))
3.1b
(- (* x (* x x)) (* (/ y 200.0) (* (/ y 200.0) (/ y 200.0))))
42.1b
(/ (- (* x (* x x)) (* (/ y 200.0) (* (/ y 200.0) (/ y 200.0)))) (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
12×times-frac
10×cube-unmult
6×add-cbrt-cube add-exp-log
5×difference-cubes
4×pow1 sum-log associate-*r/ insert-posit16 associate-/l*
3×associate-/r* flip3-+ frac-add flip-+
2×+-commutative flip3-- associate-/r/ flip-- associate-/l/
1×frac-times cbrt-undiv associate-+r+ clear-num sub-neg frac-2neg distribute-rgt-out diff-log div-sub div-exp associate-*l/ div-inv
Counts
4 → 81
Calls
4 calls:
25.0ms
(+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0))))
11.0ms
(+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))
31.0ms
(- (* x (* x x)) (* (/ y 200.0) (* (/ y 200.0) (/ y 200.0))))
129.0ms
(/ (- (* x (* x x)) (* (/ y 200.0) (* (/ y 200.0) (/ y 200.0)))) (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0))))
67.0ms
(+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))
65.0ms
(- (* x (* x x)) (* (/ y 200.0) (* (/ y 200.0) (/ y 200.0))))
107.0ms
(/ (- (* x (* x x)) (* (/ y 200.0) (* (/ y 200.0) (/ y 200.0)))) (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))))

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done2000
21820
1468
0164

prune317.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample498.0ms

Algorithm
intervals
Results
368.0ms8000×body80valid