Details

Time bar (total: 5.8s)

sample66.0ms

Algorithm
intervals
Results
18.0ms274×body160nan
16.0ms513×body80nan
10.0ms256×body80valid

simplify6.0ms

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: 34.9b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
32.5b
(sqrt (- (* x x) 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt sqrt-prod add-log-exp
3×pow1 fma-def
2×add-exp-log expm1-log1p-u sqrt-div add-cbrt-cube log1p-expm1-u
1×+-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:
30.0ms
(+ x (sqrt (- (* x x) 1.0)))
23.0ms
(sqrt (- (* x x) 1.0))

series150.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(+ x (sqrt (- (* x x) 1.0)))
70.0ms
(sqrt (- (* x x) 1.0))

simplify671.0ms

Counts
41 → 41
Iterations

Useful iterations: done (670.0ms)

IterNodesCost
095483
1244425
2969392
done5000356

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3)))
0.3b
(/ 0.125 (pow x 3))

rewrite230.0ms

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:
192.0ms
(- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3)))
14.0ms
(/ 0.125 (pow x 3))

series114.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3)))
57.0ms
(/ 0.125 (pow x 3))

simplify527.0ms

Counts
235 → 235
Iterations

Useful iterations: done (512.0ms)

IterNodesCost
04479425
112367977
done50016483

prune649.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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

sample3.1s

Algorithm
intervals
Results
1.2s16588×body80nan
727.0ms7826×body160nan
410.0ms8000×body80valid