Details

Time bar (total: 16.2s)

sample109.0ms

Algorithm
intervals
Results
66.0ms773×body80nan
22.0ms256×body80valid

simplify19.0ms

Counts
1 → 1
Iterations
IterNodes
418
318
216
112
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

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)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
59×times-frac
46×add-sqr-sqrt
36×add-cube-cbrt
26×sqrt-prod
16×distribute-lft-out
15×log-prod
14×div-inv
13×fma-def
8×associate-/l* difference-of-squares
6×distribute-rgt-out add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1
3×expm1-log1p-u log-div associate-/r* insert-posit16 log1p-expm1-u
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 → 122
Calls
3 calls:
21.0ms
(/ (sqrt (- 1 (* x x))) x)
34.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
28.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

series483.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(/ (sqrt (- 1 (* x x))) x)
98.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
247.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

simplify4.1s

Counts
131 → 131
Iterations
IterNodes
33863
21215
1467
0227

prune932.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

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
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:
41.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
18.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))
9.0ms
(/ 1 (sqrt x))
9.0ms
(/ 1 (sqrt x))

series605.0ms

Counts
4 → 12
Calls
4 calls:
446.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1 (sqrt x)) (/ (sqrt (- 1 (* x x))) (sqrt x)))))
91.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))
30.0ms
(/ 1 (sqrt x))
38.0ms
(/ 1 (sqrt x))

simplify2.6s

Counts
266 → 266
Iterations
IterNodes
22018
1736
0342

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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
214
114
012

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.4s23742×body80nan
1.1s8000×body80valid