Details

Time bar (total: 20.6s)

sample117.0ms

Algorithm
intervals
Results
70.0ms773×body80nan
24.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
112
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sqrt (- 1 (* x x))) x)
0.0b
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
0.2b
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
50×times-frac
39×add-sqr-sqrt
29×add-cube-cbrt
26×sqrt-prod
16×distribute-lft-out
15×log-prod
13×div-inv
8×associate-/l* difference-of-squares
6×distribute-rgt-out add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1
3×log-div associate-/r* insert-posit16
2×flip3-+ sqrt-div frac-add distribute-rgt1-in flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp rem-log-exp log-pow flip--
Counts
3 → 103
Calls
3 calls:
9.0ms
(/ (sqrt (- 1 (* x x))) x)
15.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
12.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

series468.0ms

Counts
3 → 9
Calls
3 calls:
170.0ms
(/ (sqrt (- 1 (* x x))) x)
87.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
210.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

simplify3.2s

Counts
112 → 112
Iterations
IterNodes
34028
21132
1442
0221

prune698.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
136×times-frac
131×*-un-lft-identity
120×sqrt-prod
111×add-sqr-sqrt
88×add-cube-cbrt
48×log-prod
26×associate-+r+
22×associate-+l+ distribute-lft-out
18×associate-/r*
14×add-exp-log associate-/l* difference-of-squares
12×pow1
11×div-inv
10×add-cbrt-cube
6×pow-flip
5×div-exp
4×log-div distribute-rgt-out log-pow insert-posit16 add-log-exp
3×cbrt-undiv clear-num associate-+r- frac-2neg
2×rec-exp sqrt-pow1 flip3-+ pow1/2 sqrt-div 1-exp flip-+ inv-pow associate-/l/
1×+-commutative sqrt-undiv sum-log flip3-- frac-add distribute-rgt1-in associate-+l- flip--
Counts
4 → 238
Calls
4 calls:
45.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
16.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))
9.0ms
(/ 1 (sqrt x))
5.0ms
(/ 1 (sqrt x))

series530.0ms

Counts
4 → 12
Calls
4 calls:
374.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
87.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))
31.0ms
(/ 1 (sqrt x))
38.0ms
(/ 1 (sqrt x))

simplify8.4s

Counts
250 → 250
Iterations
IterNodes
34564
21747
1707
0336

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
214
114
012

end0.0ms

sample5.2s

Algorithm
intervals
Results
3.5s23742×body80nan
1.1s8000×body80valid