Details

Time bar (total: 9.2s)

sample34.0ms

Algorithm
intervals
Results
14.0ms351×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
197
2127
3137
done137

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
0.0b
(+ (+ (* x x) y) y)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
17.0ms
(+ (* x x) y)
67.0ms
(+ (+ (* x x) y) y)

series93.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* x x) y)
57.0ms
(+ (+ (* x x) y) y)

simplify510.0ms

Counts
31 → 31
Iterations

Useful iterations: done (505.0ms)

IterNodesCost
048310
1163303
2755262
done5000252

prune70.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* 2 y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
9.0ms
(+ (* x x) (* 2 y))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ (* x x) (* 2 y))

simplify2.9s

Counts
14 → 14
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
029166
1112159
2516135
33221135
done5002135

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) y)
0.0b
(+ (* x x) y)
0.0b
(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
0.2b
(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

rewrite503.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×pow1
18×sqrt-prod
12×add-cube-cbrt *-un-lft-identity sqrt-div
10×add-log-exp
flip3-+ flip-+
sqrt-pow1 pow1/2 swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube
pow-prod-up
frac-times unswap-sqr
+-commutative pow-prod-down sum-log pow-sqr
associate-*r/ associate-*l/
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 90
Calls
4 calls:
8.0ms
(+ (* x x) y)
8.0ms
(+ (* x x) y)
48.0ms
(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
435.0ms
(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

series127.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x x) y)
24.0ms
(+ (* x x) y)
45.0ms
(+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)
23.0ms
(* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))

simplify796.0ms

Counts
102 → 102
Iterations

Useful iterations: done (794.0ms)

IterNodesCost
01051650
12721047
21232919
done5000894

prune204.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 2 y))
0.0b
(* 4 (* y y))
2.5b
(- (pow x 4) (* 4 (* y y)))
28.8b
(/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
pow1 times-frac
add-log-exp
flip3-- flip--
associate-*l* pow-prod-down prod-exp associate-/r* cbrt-unprod associate-/l*
sub-neg diff-log associate-/r/ associate-/l/
cbrt-undiv frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
8.0ms
(- (* x x) (* 2 y))
25.0ms
(* 4 (* y y))
34.0ms
(- (pow x 4) (* 4 (* y y)))
53.0ms
(/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* x x) (* 2 y))
38.0ms
(* 4 (* y y))
60.0ms
(- (pow x 4) (* 4 (* y y)))
85.0ms
(/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))

simplify2.3s

Counts
87 → 87
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01261454
13901381
230461247
done50001245

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample723.0ms

Algorithm
intervals
Results
390.0ms10712×body80valid