Details

Time bar (total: 21.2s)

sample632.0ms

Algorithm
intervals
Results
67.0ms757×body80nan
27.0ms256×body80valid

simplify84.0ms

Calls
1 calls:
Slowest
83.0ms
(- (log (- (/ 1 x) 1)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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×expm1-log1p-u flip3-- add-cbrt-cube rem-log-exp log-pow insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Calls
1 calls:
Slowest
23.0ms
(log (- (/ 1 x) 1))

series47.0ms

Calls
1 calls:
Slowest
47.0ms
(log (- (/ 1 x) 1))

simplify980.0ms

Calls
20 calls:
Slowest
186.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))
173.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
160.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))
151.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
103.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))

prune227.0ms

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)))

rewrite51.0ms

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×expm1-log1p-u log-div sqrt-pow1 flip3-- add-cbrt-cube pow1/2 insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
2×rem-sqrt-square rem-log-exp
Calls
4 calls:
Slowest
18.0ms
(sqrt (- (/ 1 x) 1))
13.0ms
(sqrt (- (/ 1 x) 1))
9.0ms
(log (sqrt (- (/ 1 x) 1)))
9.0ms
(log (sqrt (- (/ 1 x) 1)))

series259.0ms

Calls
4 calls:
Slowest
85.0ms
(log (sqrt (- (/ 1 x) 1)))
83.0ms
(log (sqrt (- (/ 1 x) 1)))
56.0ms
(sqrt (- (/ 1 x) 1))
35.0ms
(sqrt (- (/ 1 x) 1))

simplify3.9s

Calls
90 calls:
Slowest
241.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
228.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
226.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
217.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
210.0ms
(- (log (sqrt -1)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

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))

rewrite194.0ms

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×expm1-log1p-u frac-times flip3-- div-exp insert-posit16 log1p-expm1-u 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
139.0ms
(* (sqrt (+ (/ 1 (sqrt x)) 1)) (sqrt (- (/ 1 (sqrt x)) 1)))
29.0ms
(sqrt (- (/ 1 x) 1))
10.0ms
(/ 1 (sqrt x))
10.0ms
(/ 1 (sqrt x))

series407.0ms

Calls
4 calls:
Slowest
280.0ms
(* (sqrt (+ (/ 1 (sqrt x)) 1)) (sqrt (- (/ 1 (sqrt x)) 1)))
47.0ms
(/ 1 (sqrt x))
44.0ms
(sqrt (- (/ 1 x) 1))
37.0ms
(/ 1 (sqrt x))

simplify6.8s

Calls
187 calls:
Slowest
483.0ms
(* (+ (/ 1 (sqrt x)) 1) (- (/ 1 (sqrt x)) 1))
474.0ms
(* (+ (/ 1 (sqrt x)) 1) (- (/ 1 (sqrt x)) 1))
454.0ms
(* (+ (/ 1 (sqrt x)) 1) (- (/ 1 (sqrt x)) 1))
422.0ms
(* (sqrt (+ (pow (/ 1 (sqrt x)) 3) (pow 1 3))) (sqrt (- (/ 1 (sqrt x)) 1)))
248.0ms
(* (* (* (sqrt (+ (/ 1 (sqrt x)) 1)) (sqrt (+ (/ 1 (sqrt x)) 1))) (sqrt (+ (/ 1 (sqrt x)) 1))) (* (* (sqrt (- (/ 1 (sqrt x)) 1)) (sqrt (- (/ 1 (sqrt x)) 1))) (sqrt (- (/ 1 (sqrt x)) 1))))

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.9s24255×body80nan
706.0ms8000×body80valid