Details

Time bar (total: 20.7s)

sample136.0ms

Algorithm
intervals
Results
83.0ms769×body80nan
31.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
112
09

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
50×times-frac
43×add-sqr-sqrt
31×add-cube-cbrt sqrt-prod
16×distribute-lft-out
15×log-prod
13×div-inv
10×difference-of-squares
8×associate-/l*
7×add-exp-log
6×pow1 distribute-rgt-out add-cbrt-cube add-log-exp
4×sqrt-div insert-posit16
3×log-div associate-/r*
2×flip3-+ flip3-- frac-add distribute-rgt1-in flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp log-pow
Counts
4 → 121
Calls
4 calls:
17.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
10.0ms
(/ (sqrt (- 1 (* x x))) x)
4.0ms
(sqrt (- 1 (* x x)))
16.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series535.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
129.0ms
(/ (sqrt (- 1 (* x x))) x)
65.0ms
(sqrt (- 1 (* x x)))
105.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify3.8s

Counts
133 → 133
Iterations
IterNodes
34268
21267
1489
0239

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
232×cbrt-prod
198×add-sqr-sqrt
196×times-frac
138×*-un-lft-identity
119×sqrt-prod
117×add-cube-cbrt
42×difference-of-squares
37×swap-sqr
31×associate-*r* associate-*l*
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 251
Calls
4 calls:
3.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
3.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
3.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
38.0ms
(* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
313.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
298.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
349.0ms
(cbrt (/ (sqrt (- 1 (* x x))) x))
248.0ms
(* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x)))

simplify4.2s

Counts
263 → 263
Iterations
IterNodes
34355
21369
1594
0316

prune3.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes103.0ms

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
210
110
09

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.1s24113×body80nan
1.9s8000×body80valid