Details

Time bar (total: 9.4s)

sample61.0ms

Algorithm
intervals
Results
10.0ms338×body80valid

simplify21.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
20.0ms
(- (* x x) y)

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(- (* x x) y)

simplify1.8s

Counts
17 → 17
Iterations
IterNodes
done5003
41618
3516
2187
180
033

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×sqrt-prod
20×pow1
14×sqrt-div
13×*-un-lft-identity add-cube-cbrt
9×sqrt-pow1 flip3-- pow1/2 swap-sqr flip--
8×add-log-exp
7×associate-*r* associate-*l* difference-of-squares
6×add-cbrt-cube add-exp-log
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg diff-log associate-*l/ associate-*r/
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
22.0ms
(sqrt (- (* x x) y))
8.0ms
(- (* x x) y)
8.0ms
(- (* x x) y)
95.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series136.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(sqrt (- (* x x) y))
23.0ms
(- (* x x) y)
24.0ms
(- (* x x) y)
34.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify2.0s

Counts
118 → 118
Iterations
IterNodes
done5000
31477
2574
1248
0115

prune408.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity
7×add-log-exp
6×associate-*r*
5×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
4×frac-times flip3-+ flip3-- associate-*l* flip-+ flip-- difference-of-squares
3×sub-neg insert-posit16
2×distribute-rgt-in distribute-lft-in associate-*l/ associate-*r/ sqrt-prod distribute-lft-out distribute-lft-out--
1×+-commutative sum-log diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 64
Calls
3 calls:
13.0ms
(- x (sqrt y))
7.0ms
(+ x (sqrt y))
68.0ms
(* (+ x (sqrt y)) (- x (sqrt y)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- x (sqrt y))
44.0ms
(+ x (sqrt y))
102.0ms
(* (+ x (sqrt y)) (- x (sqrt y)))

simplify2.7s

Counts
73 → 73
Iterations
IterNodes
done5002
34921
2940
1266
094

prune710.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample738.0ms

Algorithm
intervals
Results
532.0ms10673×body80valid
0.0ms1×body1280valid