Details

Time bar (total: 30.1s)

sample156.0ms

Algorithm
intervals
Results
97.0ms777×body80nan
35.0ms256×body80valid

simplify59.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
59.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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)))

rewrite90.0ms

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:
Slowest
31.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
24.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
24.0ms
(/ (sqrt (- 1 (* x x))) x)
8.0ms
(sqrt (- 1 (* x x)))

series583.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
254.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
141.0ms
(/ (sqrt (- 1 (* x x))) x)
108.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
79.0ms
(sqrt (- 1 (* x x)))

simplify10.9s

Counts
182 → 133
Calls
182 calls:
Slowest
480.0ms
(+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))
476.0ms
(* (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
440.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))
433.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
420.0ms
(- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

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)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
46×sqrt-prod
28×add-sqr-sqrt
26×times-frac
16×add-cube-cbrt distribute-lft-out
12×div-inv
10×sqrt-div
8×pow1
6×distribute-rgt-out
4×rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log insert-posit16 add-log-exp difference-of-squares
2×flip3-+ flip3-- frac-add distribute-rgt1-in flip-+ flip--
Counts
4 → 94
Calls
4 calls:
Slowest
52.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
47.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
8.0ms
(sqrt (- 1 (* x x)))
8.0ms
(sqrt (- 1 (* x x)))

series569.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
220.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
207.0ms
(sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
77.0ms
(sqrt (- 1 (* x x)))
64.0ms
(sqrt (- 1 (* x x)))

simplify9.9s

Counts
148 → 106
Calls
148 calls:
Slowest
611.0ms
(- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4))))
503.0ms
(sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))
475.0ms
(+ (* 1/2 (/ 1 (* x (sqrt -1)))) (+ (* 1/8 (/ 1 (* (pow x 3) (sqrt -1)))) (* x (sqrt -1))))
448.0ms
(sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))
420.0ms
(sqrt (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.0s24060×body80nan
1.4s8000×body80valid