Details

Time bar (total: 12.4s)

sample142.0ms

Algorithm
intervals
Results
83.0ms640×body80nan
37.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done20
320
218
114
09

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
35×times-frac
28×add-sqr-sqrt
20×add-cube-cbrt
16×distribute-lft-out
15×log-prod
13×fma-def div-inv
11×sqrt-prod
6×distribute-rgt-out
5×pow1 add-log-exp
4×add-exp-log
3×expm1-log1p-u log-div add-cbrt-cube insert-posit16 log1p-expm1-u
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 → 90
Calls
3 calls:
13.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
16.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
9.0ms
(sqrt (- 1 (* x x)))

series430.0ms

Counts
3 → 9
Calls
3 calls:
262.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
106.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
62.0ms
(sqrt (- 1 (* x x)))

simplify2.6s

Counts
99 → 99
Iterations
IterNodes
done5000
34437
21322
1445
0188

prune500.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

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))))

rewrite196.0ms

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)))
12.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
15.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
151.0ms
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

series804.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
194.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
170.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
205.0ms
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

simplify2.4s

Counts
201 → 201
Iterations
IterNodes
done5000
34502
21371
1503
0240

prune759.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample4.4s

Algorithm
intervals
Results
3.0s23350×body80nan
945.0ms8000×body80valid