Details

Time bar (total: 13.6s)

sample81.0ms

Algorithm
intervals
Results
47.0ms640×body80nan
20.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done18
218
114
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
26×times-frac
21×add-sqr-sqrt
16×distribute-lft-out
15×log-prod
13×add-cube-cbrt
12×div-inv
11×sqrt-prod
6×distribute-rgt-out
5×pow1 add-log-exp
4×add-exp-log
3×log-div add-cbrt-cube insert-posit16
2×flip3-+ sqrt-div frac-add distribute-rgt1-in flip-+ difference-of-squares
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-- pow1/2 rem-log-exp log-pow flip--
Counts
3 → 71
Calls
3 calls:
12.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
15.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
5.0ms
(sqrt (- 1 (* x x)))

series380.0ms

Counts
3 → 9
Calls
3 calls:
253.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
72.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
55.0ms
(sqrt (- 1 (* x x)))

simplify2.7s

Counts
80 → 80
Iterations
IterNodes
done5014
34426
21151
1418
0182

prune284.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

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))))

rewrite253.0ms

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×add-cbrt-cube insert-posit16 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 → 181
Calls
4 calls:
24.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
24.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
23.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
174.0ms
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

series958.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
215.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
209.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
248.0ms
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

simplify2.7s

Counts
193 → 193
Iterations
IterNodes
done5005
34064
21240
1488
0236

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes121.0ms

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
done12
112
09

end0.0ms

sample5.0s

Algorithm
intervals
Results
3.4s23350×body80nan
1.1s8000×body80valid