Details

Time bar (total: 4.3s)

sample11.0ms

Algorithm
intervals
Results
3.0ms256×body80valid
2.0ms256×pre80true

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
175
2115
3175
done175

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (* x x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×*-un-lft-identity
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt distribute-rgt-out flip3-+ distribute-rgt1-in sum-log add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
5.0ms
(+ x (* x x))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ x (* x x))

simplify1.7s

Counts
16 → 16
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
029130
175123
2242107
3690107
41979107
done5000107

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* x x))
0.0b
(sqrt (+ x (* x x)))
0.0b
(sqrt (+ x (* x x)))
0.5b
(* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
28×add-sqr-sqrt
21×pow1 *-un-lft-identity
16×sqrt-div
14×add-cube-cbrt
10×sqrt-pow1 pow1/2 swap-sqr
9×flip3-+ flip-+
8×associate-*r* associate-*l*
7×distribute-rgt-out distribute-rgt1-in
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
5.0ms
(+ x (* x x))
7.0ms
(sqrt (+ x (* x x)))
5.0ms
(sqrt (+ x (* x x)))
31.0ms
(* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ x (* x x))
30.0ms
(sqrt (+ x (* x x)))
26.0ms
(sqrt (+ x (* x x)))
39.0ms
(* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))

simplify1.6s

Counts
122 → 122
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01131710
12141179
26411059
320431028
done50001006

prune202.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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
035
145
done45

end0.0ms

sample488.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
70.0ms8000×pre80true