Details

Time bar (total: 6.7s)

sample87.0ms

Algorithm
intervals
Results
23.0ms569×body80nan
21.0ms249×body160nan
13.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
2129
done129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
27.6b
(sqrt (- (* x x) 1.0))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt sqrt-prod add-log-exp
pow1 fma-def
add-exp-log expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u
+-commutative rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 sum-log flip-- flip-+ distribute-lft-out difference-of-squares
Counts
2 → 35
Calls
2 calls:
31.0ms
(+ x (sqrt (- (* x x) 1.0)))
39.0ms
(sqrt (- (* x x) 1.0))

series149.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ x (sqrt (- (* x x) 1.0)))
81.0ms
(sqrt (- (* x x) 1.0))

simplify1.4s

Counts
41 → 41
Iterations

Useful iterations: done (1.4s)

IterNodesCost
095483
1233424
2608392
31718355
done5001351

prune139.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 0.125 (pow x 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod associate-/r*
add-exp-log
cube-mult unpow3 sqr-pow
div-exp add-cbrt-cube associate-/l*
pow1 cbrt-undiv expm1-log1p-u pow-to-exp frac-2neg pow-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 67
Calls
1 calls:
13.0ms
(/ 0.125 (pow x 3))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ 0.125 (pow x 3))

simplify1.7s

Counts
70 → 70
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
098740
1169596
2471580
32517580
done5000580

prune168.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11314
done1314

end0.0ms

sample2.8s

Algorithm
intervals
Results
738.0ms16063×body80nan
717.0ms7537×body160nan
708.0ms8000×body80valid