Details

Time bar (total: 8.7s)

sample99.0ms

Algorithm
intervals
Results
17.0ms349×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
197
2167
3267
4337
done337

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
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:
22.0ms
(- (* x x) y)

series36.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- (* x x) y)

simplify2.1s

Counts
16 → 16
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
032136
173133
2163113
3332113
4769113
52422113
done5000113

prune42.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
flip3-- sqrt-pow1 pow1/2 swap-sqr flip--
add-log-exp
associate-*r* associate-*l* difference-of-squares
add-exp-log add-cbrt-cube
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
sub-neg diff-log associate-*r/ associate-*l/
pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
11.0ms
(sqrt (- (* x x) y))
10.0ms
(- (* x x) y)
11.0ms
(- (* x x) y)
89.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (- (* x x) y))
30.0ms
(- (* x x) y)
24.0ms
(- (* x x) y)
38.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify4.7s

Counts
114 → 114
Iterations

Useful iterations: done (4.7s)

IterNodesCost
01121614
12071144
2522992
31298963
43862938
done5001926

prune372.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes91.0ms

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
177
done77

end0.0ms

sample746.0ms

Algorithm
intervals
Results
425.0ms10598×body80valid