Details

Time bar (total: 6.4s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2105
done105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ y 200.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
6.0ms
(- x (/ y 200.0))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(- x (/ y 200.0))

simplify1.4s

Counts
18 → 18
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
039167
184162
2178152
3388152
41024152
53197152
done5000152

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))))

rewrite83.0ms

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-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
6.0ms
(- x (/ y 200.0))
10.0ms
(sqrt (- x (/ y 200.0)))
11.0ms
(sqrt (- x (/ y 200.0)))
50.0ms
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- x (/ y 200.0))
78.0ms
(sqrt (- x (/ y 200.0)))
80.0ms
(sqrt (- x (/ y 200.0)))
28.0ms
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

simplify2.6s

Counts
131 → 131
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01311981
12401395
26931319
334181272
done50001270

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y 200.0))
0.3b
(* (/ y 200.0) (/ y 200.0))
2.8b
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
30.4b
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
54×add-sqr-sqrt *-un-lft-identity
42×add-cube-cbrt
18×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×add-log-exp
6×distribute-lft-out difference-of-squares
5×cbrt-undiv div-exp div-inv
4×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×+-commutative pow2 frac-times sub-neg frac-2neg pow-plus diff-log div-sub associate-*r/ pow-prod-down associate-*l/ clear-num sum-log pow-sqr *-commutative pow-prod-up
Counts
4 → 133
Calls
4 calls:
6.0ms
(+ x (/ y 200.0))
13.0ms
(* (/ y 200.0) (/ y 200.0))
3.0ms
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
20.0ms
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ x (/ y 200.0))
27.0ms
(* (/ y 200.0) (/ y 200.0))
41.0ms
(- (* x x) (* (/ y 200.0) (/ y 200.0)))
70.0ms
(/ (- (* x x) (* (/ y 200.0) (/ y 200.0))) (+ x (/ y 200.0)))

simplify956.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
02052347
15902142
224781922
done50001922

prune278.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample256.0ms

Algorithm
intervals
Results
130.0ms8000×body80valid