Details

Time bar (total: 31.9s)

sample118.0ms

Algorithm
intervals
Results
75.0ms777×body80nan
24.0ms256×body80valid

simplify43.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
43.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
59×times-frac
50×add-sqr-sqrt
38×add-cube-cbrt
31×sqrt-prod
16×distribute-lft-out
15×log-prod
14×div-inv
13×fma-def
10×difference-of-squares
8×associate-/l*
7×add-exp-log
6×pow1 distribute-rgt-out add-cbrt-cube add-log-exp
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u
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 → 142
Calls
4 calls:
Slowest
30.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
24.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
19.0ms
(/ (sqrt (- 1 (* x x))) x)
16.0ms
(sqrt (- 1 (* x x)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
243.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
109.0ms
(/ (sqrt (- 1 (* x x))) x)
103.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
85.0ms
(sqrt (- 1 (* x x)))

simplify12.3s

Counts
190 → 154
Calls
190 calls:
Slowest
645.0ms
(+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
600.0ms
(log (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))
530.0ms
(- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4))))
493.0ms
(* (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
453.0ms
(- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3))))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
54×*-un-lft-identity
52×sqrt-prod
50×times-frac
18×hypot-def
16×add-cube-cbrt distribute-lft-out
12×div-inv
10×sqrt-div
8×pow1
6×distribute-rgt-out
4×expm1-log1p-u rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
2×flip3-+ flip3-- frac-add distribute-rgt1-in flip-+ flip--
Counts
4 → 120
Calls
4 calls:
Slowest
32.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
32.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
8.0ms
(sqrt (- 1 (* x x)))
6.0ms
(sqrt (- 1 (* x x)))

series459.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
186.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
161.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
63.0ms
(sqrt (- 1 (* x x)))
48.0ms
(sqrt (- 1 (* x x)))

simplify10.3s

Counts
156 → 132
Calls
156 calls:
Slowest
685.0ms
(sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))
529.0ms
(sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))
439.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
432.0ms
(- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4))))
428.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
3.1s24060×body80nan
1.1s8000×body80valid