Details

Time bar (total: 11.1s)

sample116.0ms

Algorithm
intervals
Results
76.0ms744×body80nan
23.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
218
114
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 1 expressions with local error:

0.2b
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×log-prod
13×times-frac
9×add-sqr-sqrt
8×distribute-lft-out
6×add-cube-cbrt div-inv
3×log-div distribute-rgt-out sqrt-prod
2×pow1 add-exp-log
1×expm1-log1p-u flip3-+ add-cbrt-cube rem-log-exp frac-add distribute-rgt1-in log-pow flip-+ insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 30
Calls
1 calls:
21.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

series255.0ms

Counts
1 → 3
Calls
1 calls:
255.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

simplify1.1s

Counts
33 → 33
Iterations
IterNodes
done2001
32001
2655
1261
0120

prune305.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
0.2b
(/ 1 (sqrt x))
0.2b
(/ 1 (sqrt x))
0.2b
(/ (sqrt (- 1 (* x x))) (sqrt x))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
136×times-frac
132×*-un-lft-identity
120×sqrt-prod
112×add-sqr-sqrt
89×add-cube-cbrt
48×log-prod
26×associate-+r+
22×associate-+l+ distribute-lft-out
18×associate-/r*
15×pow1
14×add-exp-log associate-/l* difference-of-squares
11×div-inv
10×add-cbrt-cube
9×log-pow pow-flip
8×fma-def
5×div-exp
4×expm1-log1p-u log-div distribute-rgt-out insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num associate-+r- frac-2neg sqrt-pow1 pow1/2 inv-pow
2×rec-exp flip3-+ sqrt-div 1-exp flip-+ associate-/l/
1×+-commutative sqrt-undiv sum-log flip3-- frac-add distribute-rgt1-in associate-+l- flip--
Counts
4 → 254
Calls
4 calls:
49.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
8.0ms
(/ 1 (sqrt x))
8.0ms
(/ 1 (sqrt x))
23.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))

series591.0ms

Counts
4 → 12
Calls
4 calls:
437.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
37.0ms
(/ 1 (sqrt x))
34.0ms
(/ 1 (sqrt x))
83.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))

simplify1.3s

Counts
266 → 266
Iterations
IterNodes
done2002
32002
21950
1758
0342

prune2.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample4.5s

Algorithm
intervals
Results
3.0s24059×body80nan
1.0s8000×body80valid