Details

Time bar (total: 9.1s)

sample78.0ms

Algorithm
intervals
Results
20.0ms249×body160nan
19.0ms519×body80nan
12.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1119
2129
done129

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 1.0)
0.0b
(+ x (sqrt (- (* x x) 1.0)))
28.7b
(sqrt (- (* x x) 1.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×*-un-lft-identity
7×add-log-exp
6×add-cube-cbrt
4×pow1 sqrt-prod
3×add-exp-log expm1-log1p-u fma-def prod-diff add-cbrt-cube log1p-expm1-u
2×flip3-- sqrt-div flip-- difference-of-squares
1×+-commutative sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 fma-neg diff-log sum-log flip-+ distribute-lft-out
Counts
3 → 54
Calls
3 calls:
19.0ms
(- (* x x) 1.0)
36.0ms
(+ x (sqrt (- (* x x) 1.0)))
54.0ms
(sqrt (- (* x x) 1.0))

series221.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (* x x) 1.0)
88.0ms
(+ x (sqrt (- (* x x) 1.0)))
68.0ms
(sqrt (- (* x x) 1.0))

simplify1.9s

Counts
63 → 63
Iterations

Useful iterations: 3 (893.0ms)

IterNodesCost
0121696
1277597
2704543
32670495
done5001495

prune156.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3)))
0.6b
(/ 0.125 (pow x 3))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
157×times-frac
154×add-sqr-sqrt
143×*-un-lft-identity
141×add-cube-cbrt
133×prod-diff
40×unpow-prod-down cube-prod
15×associate--l+
14×sqr-pow
13×cube-mult unpow3
12×associate-/r*
7×add-exp-log add-log-exp
5×div-inv difference-of-squares
4×add-cbrt-cube
3×fma-neg diff-log div-exp associate-/l*
2×pow1 expm1-log1p-u sub-neg flip3-- frac-sub flip-- log1p-expm1-u
1×cbrt-undiv associate--l- pow-to-exp frac-2neg pow-exp clear-num distribute-lft-out--
Counts
2 → 229
Calls
2 calls:
130.0ms
(- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3)))
11.0ms
(/ 0.125 (pow x 3))

series91.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3)))
40.0ms
(/ 0.125 (pow x 3))

simplify2.5s

Counts
235 → 235
Iterations

Useful iterations: done (2.5s)

IterNodesCost
04479425
110407943
230165414
done50004428

prune369.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11314
done1314

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.2s16410×body80nan
1.0s7643×body160nan
512.0ms8000×body80valid