Details

Time bar (total: 17.0s)

sample112.0ms

Algorithm
intervals
Results
71.0ms884×body80nan
23.0ms256×body80valid

simplify74.0ms

Calls
1 calls:
Slowest
74.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
11×div-inv
9×add-sqr-sqrt
8×log-prod add-cube-cbrt
6×sqrt-prod associate-/l* add-log-exp
5×pow1 add-exp-log
4×distribute-rgt-out add-cbrt-cube sqrt-div insert-posit16 distribute-lft-out
3×log-div
2×flip3-+ flip3-- frac-add distribute-rgt1-in flip-+ flip-- associate-/l/
1×+-commutative rem-sqrt-square clear-num sum-log frac-2neg pow1/2 rem-log-exp log-pow
Calls
4 calls:
Slowest
10.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
7.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
7.0ms
(/ (sqrt (- 1 (* x x))) x)
1.0ms
(sqrt (- 1 (* x x)))

series230.0ms

Calls
4 calls:
Slowest
106.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
48.0ms
(/ (sqrt (- 1 (* x x))) x)
41.0ms
(sqrt (- 1 (* x x)))
34.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

simplify4.7s

Calls
47 calls:
Slowest
387.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))
385.0ms
(log (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))
383.0ms
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
371.0ms
(- (log 2) (+ (* 1/4 (pow x 2)) (+ (* 3/32 (pow x 4)) (log x))))
353.0ms
(- (+ (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (- (sqrt -1)))) (/ 1 (* x (sqrt -1))))

prune681.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.1b
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.0b
(sqrt (- 1 (* x x)))
0.0b
(sqrt (- 1 (* x x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
16×*-un-lft-identity
12×add-sqr-sqrt
10×sqrt-div div-inv
8×add-cube-cbrt
4×pow1 rem-sqrt-square distribute-rgt-out add-cbrt-cube pow1/2 add-exp-log insert-posit16 distribute-lft-out add-log-exp
2×flip3-+ flip3-- frac-add distribute-rgt1-in flip-+ flip--
Calls
4 calls:
Slowest
12.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
12.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
1.0ms
(sqrt (- 1 (* x x)))
1.0ms
(sqrt (- 1 (* x x)))

series197.0ms

Calls
4 calls:
Slowest
75.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
72.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
27.0ms
(sqrt (- 1 (* x x)))
24.0ms
(sqrt (- 1 (* x x)))

simplify5.0s

Calls
48 calls:
Slowest
470.0ms
(sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))
412.0ms
(- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))))
397.0ms
(sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))
357.0ms
(sqrt (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)))
344.0ms
(+ (* 1/8 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (sqrt (sqrt -1)) (* 1/2 (* (/ 1 x) (sqrt (/ 1 (sqrt -1)))))))

prune911.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.3s24070×body80nan
1.1s8000×body80valid