Details

Time bar (total: 11.7s)

sample129.0ms

Algorithm
intervals
Results
77.0ms727×body80nan
30.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
218
114
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:
17.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
24.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
14.0ms
(/ (sqrt (- 1 (* x x))) x)

series469.0ms

Counts
3 → 9
Calls
3 calls:
233.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
97.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
139.0ms
(/ (sqrt (- 1 (* x x))) x)

simplify1.1s

Counts
131 → 131
Iterations
IterNodes
done2000
32000
21370
1497
0227

prune564.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
166×*-un-lft-identity
125×cbrt-prod
91×times-frac
72×add-sqr-sqrt
64×distribute-lft-out
52×div-inv
43×add-cube-cbrt
33×cbrt-div
26×swap-sqr
25×distribute-rgt-out
21×sqrt-prod
18×associate-*r* associate-*l*
11×pow1 flip3-+ frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt1-in
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×associate-*l/ associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 189
Calls
4 calls:
13.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
18.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
18.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
145.0ms
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

series959.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
227.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
256.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
245.0ms
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

simplify1.3s

Counts
201 → 201
Iterations
IterNodes
done2003
32003
21371
1503
0240

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.7s23585×body80nan
1.2s8000×body80valid