Details

Time bar (total: 20.0s)

sample299.0ms

Algorithm
intervals
Results
163.0ms757×body80nan
24.0ms256×body80valid

simplify39.0ms

Calls
1 calls:
Slowest
38.0ms
(- (log (- (/ 1 x) 1)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 1 expressions with local error:

0.0b
(log (- (/ 1 x) 1))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×log-prod
11×*-un-lft-identity
6×times-frac difference-of-squares
3×difference-of-sqr-1
2×pow1 log-div add-exp-log add-cube-cbrt distribute-lft-out--
1×flip3-- add-cbrt-cube rem-log-exp log-pow insert-posit16 div-inv flip-- add-log-exp
Calls
1 calls:
Slowest
48.0ms
(log (- (/ 1 x) 1))

series76.0ms

Calls
1 calls:
Slowest
76.0ms
(log (- (/ 1 x) 1))

simplify1.3s

Calls
20 calls:
Slowest
329.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
196.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))
145.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
123.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
119.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))

prune174.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (/ 1 x) 1))
0.1b
(sqrt (- (/ 1 x) 1))
0.0b
(log (sqrt (- (/ 1 x) 1)))
0.0b
(log (sqrt (- (/ 1 x) 1)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
56×sqrt-prod
46×*-un-lft-identity
34×log-prod
24×times-frac difference-of-squares
12×difference-of-sqr-1
10×pow1 add-cube-cbrt
8×sqrt-div distribute-lft-out--
6×add-exp-log log-pow
4×log-div sqrt-pow1 flip3-- add-cbrt-cube pow1/2 insert-posit16 div-inv flip-- add-log-exp
2×rem-sqrt-square rem-log-exp
Calls
4 calls:
Slowest
15.0ms
(sqrt (- (/ 1 x) 1))
11.0ms
(sqrt (- (/ 1 x) 1))
9.0ms
(log (sqrt (- (/ 1 x) 1)))
9.0ms
(log (sqrt (- (/ 1 x) 1)))

series188.0ms

Calls
4 calls:
Slowest
70.0ms
(log (sqrt (- (/ 1 x) 1)))
49.0ms
(log (sqrt (- (/ 1 x) 1)))
35.0ms
(sqrt (- (/ 1 x) 1))
33.0ms
(sqrt (- (/ 1 x) 1))

simplify3.9s

Calls
90 calls:
Slowest
476.0ms
(log (sqrt (- (pow (/ 1 x) 3) (pow 1 3))))
443.0ms
(log (sqrt (- (pow (/ 1 x) 3) (pow 1 3))))
216.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
184.0ms
(- (log (sqrt -1)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
176.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (+ (/ 1 (sqrt x)) 1)) (sqrt (- (/ 1 (sqrt x)) 1)))
0.3b
(/ 1 (sqrt x))
0.3b
(/ 1 (sqrt x))
0.1b
(sqrt (- (/ 1 x) 1))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
73×sqrt-prod
65×*-un-lft-identity
54×times-frac
39×add-cube-cbrt
23×associate-*r*
16×difference-of-squares
14×sqrt-div add-exp-log
13×pow1
12×associate-/r*
10×add-cbrt-cube
8×difference-of-sqr-1 associate-*l*
6×pow-flip associate-/l*
5×sqrt-pow1 pow1/2 div-inv
4×frac-times flip3-- div-exp insert-posit16 flip-- distribute-lft-out-- add-log-exp unswap-sqr
3×flip3-+ pow-prod-down flip-+
2×cbrt-undiv rec-exp clear-num frac-2neg 1-exp associate-*l/ associate-*r/ distribute-lft-out inv-pow
1×rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
74.0ms
(* (sqrt (+ (/ 1 (sqrt x)) 1)) (sqrt (- (/ 1 (sqrt x)) 1)))
12.0ms
(sqrt (- (/ 1 x) 1))
7.0ms
(/ 1 (sqrt x))
5.0ms
(/ 1 (sqrt x))

series427.0ms

Calls
4 calls:
Slowest
296.0ms
(* (sqrt (+ (/ 1 (sqrt x)) 1)) (sqrt (- (/ 1 (sqrt x)) 1)))
50.0ms
(sqrt (- (/ 1 x) 1))
48.0ms
(/ 1 (sqrt x))
33.0ms
(/ 1 (sqrt x))

simplify6.5s

Calls
187 calls:
Slowest
513.0ms
(* (sqrt (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* 1 1))) (sqrt (- (/ 1 (sqrt x)) 1)))
464.0ms
(* (sqrt (+ (pow (/ 1 (sqrt x)) 3) (pow 1 3))) (sqrt (- (/ 1 (sqrt x)) 1)))
456.0ms
(* (sqrt (+ (pow (/ 1 (sqrt x)) 3) (pow 1 3))) (sqrt (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* 1 1))))
307.0ms
(* (+ (/ 1 (sqrt x)) 1) (- (/ 1 (sqrt x)) 1))
285.0ms
(* (+ (/ 1 (sqrt x)) 1) (- (/ 1 (sqrt x)) 1))

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.8s24255×body80nan
668.0ms8000×body80valid