Details

Time bar (total: 10.7s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

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))

rewrite6.0ms

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))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- x (/ y 200.0))

simplify1.8s

Counts
18 → 18
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
039167
184162
2178152
3378152
4979152
52977152
done5001152

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* 0.005 y))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
2.0ms
(- x (* 0.005 y))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(- x (* 0.005 y))

simplify2.9s

Counts
15 → 15
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
027132
171127
2196117
3542117
41217117
53724117
done5000117

prune29.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

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)))
0.3b
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

rewrite88.0ms

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))
11.0ms
(sqrt (- x (/ y 200.0)))
11.0ms
(sqrt (- x (/ y 200.0)))
54.0ms
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- x (/ y 200.0))
83.0ms
(sqrt (- x (/ y 200.0)))
83.0ms
(sqrt (- x (/ y 200.0)))
36.0ms
(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

simplify2.7s

Counts
131 → 131
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01311981
12401395
26321319
317821272
448711250
done50001250

prune247.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (pow x 3) (pow (/ y 200.0) 3))
13.8b
(sqrt (- (pow x 3) (pow (/ y 200.0) 3)))
15.5b
(/ (* (sqrt (- (pow x 3) (pow (/ y 200.0) 3))) (sqrt (- x (/ y 200.0)))) (sqrt (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0))))))
28.5b
(sqrt (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
48×difference-of-squares
42×sqrt-prod
36×unpow-prod-down cube-prod
30×*-un-lft-identity
22×times-frac
20×sqr-pow
18×sqrt-div
10×add-cube-cbrt distribute-lft-out--
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- associate-/l/
6×pow1 associate-/r* add-log-exp
4×frac-times
2×difference-cubes cbrt-undiv rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*r/ div-exp associate-*l/ associate-/r/ flip-+
1×sub-neg sqrt-undiv frac-2neg sqrt-unprod diff-log prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 140
Calls
4 calls:
33.0ms
(- (pow x 3) (pow (/ y 200.0) 3))
57.0ms
(sqrt (- (pow x 3) (pow (/ y 200.0) 3)))
77.0ms
(/ (* (sqrt (- (pow x 3) (pow (/ y 200.0) 3))) (sqrt (- x (/ y 200.0)))) (sqrt (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0))))))
29.0ms
(sqrt (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))))

series612.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (pow x 3) (pow (/ y 200.0) 3))
101.0ms
(sqrt (- (pow x 3) (pow (/ y 200.0) 3)))
268.0ms
(/ (* (sqrt (- (pow x 3) (pow (/ y 200.0) 3))) (sqrt (- x (/ y 200.0)))) (sqrt (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0))))))
179.0ms
(sqrt (+ (* x x) (+ (* (/ y 200.0) (/ y 200.0)) (* x (/ y 200.0)))))

simplify788.0ms

Counts
152 → 152
Iterations

Useful iterations: done (782.0ms)

IterNodesCost
02424162
15393461
216363259
done50013256

prune509.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes78.0ms

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

sample263.0ms

Algorithm
intervals
Results
127.0ms8000×body80valid