Details

Time bar (total: 11.5s)

sample17.0ms

Algorithm
intervals
Results
6.0ms334×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
2105
done105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
6.0ms
(- x (* y y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(- x (* y y))

simplify2.0s

Counts
16 → 16
Iterations

Useful iterations: 3 (683.0ms)

IterNodesCost
032140
190135
2359119
32604117
done5001117

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
0.5b
(cbrt (- x (* y y)))
0.5b
(cbrt (- x (* y y)))
0.5b
(cbrt (- x (* y y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
49.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
5.0ms
(cbrt (- x (* y y)))
5.0ms
(cbrt (- x (* y y)))
5.0ms
(cbrt (- x (* y y)))

series1.4s

Counts
4 → 12
Calls
4 calls:
437.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
309.0ms
(cbrt (- x (* y y)))
331.0ms
(cbrt (- x (* y y)))
343.0ms
(cbrt (- x (* y y)))

simplify724.0ms

Counts
105 → 105
Iterations

Useful iterations: done (720.0ms)

IterNodesCost
01361705
13201583
211611443
done50001341

prune416.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (cbrt (- x (* y y)))) (cbrt (cbrt (- x (* y y)))))
0.5b
(cbrt (cbrt (- x (* y y))))
0.5b
(cbrt (cbrt (- x (* y y))))
0.5b
(cbrt (cbrt (- x (* y y))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
95×cbrt-prod
47×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt *-un-lft-identity
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×flip3-- pow1/3 flip-- unswap-sqr
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
62.0ms
(* (cbrt (cbrt (- x (* y y)))) (cbrt (cbrt (- x (* y y)))))
4.0ms
(cbrt (cbrt (- x (* y y))))
5.0ms
(cbrt (cbrt (- x (* y y))))
6.0ms
(cbrt (cbrt (- x (* y y))))

series2.3s

Counts
4 → 12
Calls
4 calls:
670.0ms
(* (cbrt (cbrt (- x (* y y)))) (cbrt (cbrt (- x (* y y)))))
572.0ms
(cbrt (cbrt (- x (* y y))))
515.0ms
(cbrt (cbrt (- x (* y y))))
535.0ms
(cbrt (cbrt (- x (* y y))))

simplify1.0s

Counts
128 → 128
Iterations

Useful iterations: done (995.0ms)

IterNodesCost
01652421
13502277
211772141
done50002039

prune696.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity
7×add-log-exp
6×associate-*r*
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×frac-times flip3-- flip3-+ associate-*l* flip-- flip-+ difference-of-squares
3×sub-neg
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ sqrt-prod distribute-lft-out distribute-lft-out--
1×+-commutative diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
12.0ms
(+ (sqrt x) y)
12.0ms
(- (sqrt x) y)
62.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series252.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (sqrt x) y)
49.0ms
(- (sqrt x) y)
168.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify970.0ms

Counts
70 → 70
Iterations

Useful iterations: done (968.0ms)

IterNodesCost
0108857
1316717
21811651
done5001645

prune218.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes167.0ms

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
045
done45

end0.0ms

sample879.0ms

Algorithm
intervals
Results
242.0ms10613×body80valid