Details

Time bar (total: 41.7s)

sample639.0ms

Algorithm
intervals
Results
51.0ms339×body80valid

simplify525.0ms

Counts
1 → 1
Iterations
IterNodes
done31
431
326
216
19
06

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite55.0ms

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:
47.0ms
(- (* x x) y)

series169.0ms

Counts
1 → 3
Calls
1 calls:
169.0ms
(- (* x x) y)

simplify5.5s

Counts
16 → 16
Iterations
IterNodes
done5000
41597
3546
2186
179
032

prune96.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
9×flip3-- sqrt-pow1 pow1/2 swap-sqr flip--
8×add-log-exp
7×associate-*r* associate-*l* difference-of-squares
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg diff-log associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
22.0ms
(sqrt (- (* x x) y))
20.0ms
(- (* x x) y)
19.0ms
(- (* x x) y)
140.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series641.0ms

Counts
4 → 12
Calls
4 calls:
499.0ms
(sqrt (- (* x x) y))
46.0ms
(- (* x x) y)
44.0ms
(- (* x x) y)
49.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify15.4s

Counts
114 → 114
Iterations
IterNodes
done5001
44912
31455
2569
1245
0112

prune714.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize417.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (- (* x x) y)))
0.1b
(sqrt (sqrt (- (* x x) y)))
0.2b
(* (sqrt (- (* x x) y)) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))))
0.4b
(* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y))))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
104×sqrt-prod
91×sqrt-pow1
69×pow1
67×add-sqr-sqrt
47×pow1/2
39×pow-prod-up
35×flip3-- flip--
32×frac-times
22×add-cube-cbrt *-un-lft-identity
18×swap-sqr
17×associate-*l*
16×associate-*r/
12×pow-prod-down
11×add-exp-log associate-*r* pow-sqr add-cbrt-cube unswap-sqr
10×associate-*l/
7×difference-of-squares
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 203
Calls
4 calls:
24.0ms
(sqrt (sqrt (- (* x x) y)))
25.0ms
(sqrt (sqrt (- (* x x) y)))
1.4s
(* (sqrt (- (* x x) y)) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))))
382.0ms
(* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y))))

series917.0ms

Counts
4 → 12
Calls
4 calls:
318.0ms
(sqrt (sqrt (- (* x x) y)))
201.0ms
(sqrt (sqrt (- (* x x) y)))
52.0ms
(* (sqrt (- (* x x) y)) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))))
317.0ms
(* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y))))

simplify7.9s

Counts
215 → 215
Iterations
IterNodes
done5001
33306
21255
1582
0229

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.9s10670×body80valid