Details

Time bar (total: 19.7s)

sample162.0ms

Algorithm
intervals
Results
97.0ms728×body80nan
38.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
112
09

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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:
28.0ms
(/ (sqrt (- 1 (* x x))) x)
14.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
4.0ms
(sqrt (- 1 (* x x)))
16.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

series591.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(/ (sqrt (- 1 (* x x))) x)
282.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
59.0ms
(sqrt (- 1 (* x x)))
104.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify4.0s

Counts
133 → 133
Iterations
IterNodes
34295
21268
1489
0239

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1 (* x x)))
0.0b
(+ (/ 1 x) (/ (/ (sqrt (- 1 (* x x))) (sqrt x)) (sqrt x)))
0.3b
(/ (sqrt (- 1 (* x x))) (sqrt x))
0.3b
(/ (/ (sqrt (- 1 (* x x))) (sqrt x)) (sqrt x))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
699×times-frac
604×sqrt-prod
404×*-un-lft-identity
398×add-sqr-sqrt
346×add-cube-cbrt
100×difference-of-squares
60×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log div-inv
6×add-log-exp
5×pow1
4×cbrt-undiv sqrt-div div-exp insert-posit16
3×sqrt-undiv distribute-lft-out associate-/l/
2×clear-num frac-2neg flip3-- flip--
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ distribute-rgt-out pow1/2 frac-add flip-+
Counts
4 → 500
Calls
4 calls:
4.0ms
(sqrt (- 1 (* x x)))
29.0ms
(+ (/ 1 x) (/ (/ (sqrt (- 1 (* x x))) (sqrt x)) (sqrt x)))
20.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))
31.0ms
(/ (/ (sqrt (- 1 (* x x))) (sqrt x)) (sqrt x))

series377.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sqrt (- 1 (* x x)))
132.0ms
(+ (/ 1 x) (/ (/ (sqrt (- 1 (* x x))) (sqrt x)) (sqrt x)))
79.0ms
(/ (sqrt (- 1 (* x x))) (sqrt x))
110.0ms
(/ (/ (sqrt (- 1 (* x x))) (sqrt x)) (sqrt x))

simplify2.0s

Counts
512 → 512
Iterations
IterNodes
22731
11345
0565

prune6.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
210
110
09

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.3s23801×body80nan
1.1s8000×body80valid