Details

Time bar (total: 5.8s)

sample54.0ms

Algorithm
intervals
Results
24.0ms827×body80nan
10.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
31813
done1813

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
42×times-frac
35×add-sqr-sqrt
31×add-cube-cbrt
16×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×associate-/l*
6×add-exp-log div-inv
5×add-cbrt-cube add-log-exp
4×pow1 difference-of-squares
3×expm1-log1p-u log-div associate-/r* log1p-expm1-u
2×distribute-rgt-out flip3-+ sqrt-div frac-add flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp rem-log-exp clear-num sum-log log-pow flip--
Counts
3 → 101
Calls
3 calls:
34.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
13.0ms
(/ (sqrt (- 1.0 (* x x))) x)
36.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series513.0ms

Counts
3 → 9
Calls
3 calls:
283.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
129.0ms
(/ (sqrt (- 1.0 (* x x))) x)
100.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify731.0ms

Counts
110 → 110
Iterations

Useful iterations: done (728.0ms)

IterNodesCost
02131750
14771637
213351521
done50001501

prune290.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (sqrt x))
0.3b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.3b
(/ 1.0 (sqrt x))
0.5b
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
105×add-sqr-sqrt
102×*-un-lft-identity
95×sqrt-prod
82×add-cube-cbrt
22×associate-*l*
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
13×associate-*r* associate-/l*
9×distribute-lft-out
8×pow1
7×difference-of-squares
6×div-exp div-inv
5×unswap-sqr
4×cbrt-undiv expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×frac-times pow-flip frac-2neg associate-*r/ clear-num
2×rec-exp flip3-+ sqrt-div 1-exp frac-add cbrt-unprod flip-+ associate-/l/
1×distribute-rgt-in sqrt-undiv distribute-rgt-out flip3-- distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 226
Calls
4 calls:
7.0ms
(/ 1 (sqrt x))
13.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
6.0ms
(/ 1.0 (sqrt x))
269.0ms
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

series333.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1 (sqrt x))
69.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
37.0ms
(/ 1.0 (sqrt x))
199.0ms
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

simplify1.4s

Counts
238 → 238
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03273842
18263352
221903145
done50013032

prune510.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
11720
done1720

end0.0ms

sample1.5s

Algorithm
intervals
Results
702.0ms24075×body80nan
293.0ms8000×body80valid