Details

Time bar (total: 21.4s)

sample360.0ms

Algorithm
intervals
Results
226.0ms748×body80nan
23.0ms255×body80valid
0.0ms1×body160valid

simplify29.0ms

Calls
1 calls:
Slowest
28.0ms
(* (sqrt (- x 1)) (sqrt x))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt (- x 1)) (sqrt x))
0.0b
(sqrt (- x 1))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×sqrt-prod
13×*-un-lft-identity
10×associate-*l*
7×pow1 add-cube-cbrt
6×associate-*r*
4×add-cbrt-cube sqrt-div add-exp-log difference-of-squares unswap-sqr
3×sqrt-pow1 pow1/2 pow-prod-down
2×expm1-log1p-u flip3-- difference-of-sqr-1 associate-*l/ insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
1×rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod
Calls
2 calls:
Slowest
33.0ms
(* (sqrt (- x 1)) (sqrt x))
7.0ms
(sqrt (- x 1))

series412.0ms

Calls
2 calls:
Slowest
339.0ms
(sqrt (- x 1))
73.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify1.5s

Calls
49 calls:
Slowest
320.0ms
(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
320.0ms
(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
183.0ms
(+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1)))
101.0ms
(- x (+ (* 1/8 (/ 1 x)) 1/2))
81.0ms
(* (sqrt (- (* x x) (* 1 1))) (sqrt x))

prune509.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (- 1/2 (/ -1/8 x)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
57×prod-diff
56×*-un-lft-identity
45×add-cube-cbrt
41×associate--r+
30×times-frac
7×difference-of-squares
6×distribute-lft-out-- add-log-exp
3×fma-neg diff-log div-inv
2×sub-neg
1×expm1-log1p-u pow1 flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip-- associate--r-
Calls
1 calls:
Slowest
37.0ms
(- x (- 1/2 (/ -1/8 x)))

series21.0ms

Calls
1 calls:
Slowest
21.0ms
(- x (- 1/2 (/ -1/8 x)))

simplify13.0s

Calls
89 calls:
Slowest
490.0ms
(fma (sqrt x) (sqrt x) (- (* (- (sqrt 1/2) (/ (sqrt -1/8) (sqrt x))) (+ (sqrt 1/2) (/ (sqrt -1/8) (sqrt x))))))
426.0ms
(fma (- (/ -1/8 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ -1/8 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))
421.0ms
(fma (- (/ -1/8 (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ -1/8 (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))
374.0ms
(fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (- (sqrt 1/2) (sqrt (/ -1/8 x))) (+ (sqrt 1/2) (sqrt (/ -1/8 x))))))
370.0ms
(fma 1 x (- (* (- (sqrt 1/2) (/ (sqrt -1/8) (sqrt x))) (+ (sqrt 1/2) (/ (sqrt -1/8) (sqrt x))))))

prune536.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 1 expressions with local error:

30.4b
(pow (* (- x 1) x) 1/2)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log
3×pow-unpow
2×add-sqr-sqrt pow-pow *-un-lft-identity pow-exp add-cube-cbrt
1×expm1-log1p-u pow-to-exp unpow-prod-down add-cbrt-cube pow-prod-down prod-exp insert-posit16 log1p-expm1-u unpow1/2 add-log-exp sqr-pow
Calls
1 calls:
Slowest
10.0ms
(pow (* (- x 1) x) 1/2)

series70.0ms

Calls
1 calls:
Slowest
70.0ms
(pow (* (- x 1) x) 1/2)

simplify944.0ms

Calls
10 calls:
Slowest
299.0ms
(- (exp (* 1/2 (+ (log -1) (log x)))) (+ (* 1/2 (* x (exp (* 1/2 (+ (log -1) (log x)))))) (* 1/8 (* (pow x 2) (exp (* 1/2 (+ (log -1) (log x))))))))
257.0ms
(+ (pow (/ -1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
220.0ms
(- (pow (/ 1 x) -1) (+ (* 1/8 (/ 1 x)) 1/2))
65.0ms
(* (log (* (- x 1) x)) 1/2)
28.0ms
(* (- x 1) x)

prune133.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.6s23560×body80nan
694.0ms7995×body80valid
1.0ms5×body160valid