Details

Time bar (total: 11.5s)

sample299.0ms

Algorithm
intervals
Results
123.0ms772×body80nan
54.0ms256×body80valid

simplify139.0ms

Calls
1 calls:
Slowest
138.0ms
(* (sqrt (- x 1)) (sqrt x))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 2 expressions with local error:

0.5b
(* (sqrt (- x 1)) (sqrt x))
0.0b
(sqrt (- x 1))

rewrite80.0ms

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×flip3-- difference-of-sqr-1 associate-*l/ insert-posit16 flip-- distribute-lft-out-- add-log-exp
1×rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod
Calls
2 calls:
Slowest
67.0ms
(* (sqrt (- x 1)) (sqrt x))
9.0ms
(sqrt (- x 1))

series529.0ms

Calls
2 calls:
Slowest
492.0ms
(* (sqrt (- x 1)) (sqrt x))
37.0ms
(sqrt (- x 1))

simplify1.6s

Calls
49 calls:
Slowest
362.0ms
(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
357.0ms
(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
154.0ms
(+ (* 1/2 (/ x (sqrt -1))) (+ (* 1/8 (/ (pow x 2) (sqrt -1))) (sqrt -1)))
115.0ms
(- x (+ (* 1/8 (/ 1 x)) 1/2))
54.0ms
(* (sqrt (- (* x x) (* 1 1))) (sqrt x))

prune462.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Calls
0 calls:
Slowest

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune9.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
8×add-cbrt-cube
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×cbrt-unprod insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Calls
4 calls:
Slowest
15.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Calls
4 calls:
Slowest
269.0ms
(cbrt x)
262.0ms
(cbrt x)
258.0ms
(cbrt x)
254.0ms
(* (cbrt x) (cbrt x))

simplify1.0s

Calls
66 calls:
Slowest
153.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
134.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
114.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
93.0ms
(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
87.0ms
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))

prune875.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

28.0b
(sqrt (- (* x x) x))
0.0b
(- (* x x) x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
19×*-un-lft-identity
17×sqrt-prod
11×add-cube-cbrt
10×distribute-rgt-out-- difference-of-squares
8×distribute-lft-out--
6×associate-*r* associate-*l*
4×*-commutative add-log-exp
3×pow1
2×flip3-- add-cbrt-cube sqrt-div swap-sqr add-exp-log insert-posit16 flip-- unswap-sqr
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Calls
2 calls:
Slowest
31.0ms
(- (* x x) x)
17.0ms
(sqrt (- (* x x) x))

series92.0ms

Calls
2 calls:
Slowest
59.0ms
(- (* x x) x)
33.0ms
(sqrt (- (* x x) x))

simplify973.0ms

Calls
51 calls:
Slowest
278.0ms
(sqrt (- (* (* x x) (* x x)) (* x x)))
159.0ms
(sqrt (- (pow (* x x) 3) (pow x 3)))
85.0ms
(- x (+ (* 1/8 (/ 1 x)) 1/2))
72.0ms
(- (+ (* 1/8 (/ 1 x)) 1/2) x)
42.0ms
(/ (exp (* x x)) (exp x))

prune424.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.4s23702×body80nan
954.0ms7993×body80valid
1.0ms7×body160valid