Details

Time bar (total: 15.1s)

sample139.0ms

Algorithm
intervals
Results
43.0ms744×body80nan
12.0ms256×body80valid

simplify48.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
112
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×sqrt-prod
10×associate-*l*
8×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-cbrt-cube pow-prod-down add-exp-log
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/ difference-of-squares
1×flip3-- sqrt-unprod difference-of-sqr-1 prod-exp *-commutative cbrt-unprod insert-posit16 flip-- distribute-lft-out-- add-log-exp
Counts
1 → 37
Calls
1 calls:
32.0ms
(* (sqrt (- x 1)) (sqrt x))

series287.0ms

Counts
1 → 3
Calls
1 calls:
287.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify1.2s

Counts
40 → 40
Iterations
IterNodes
42160
3978
2413
1186
085

prune303.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x)))
0.4b
(* (sqrt (- x 1)) (sqrt (sqrt x)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-prod
36×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
18×associate-*r*
16×add-cube-cbrt
13×sqrt-pow1
11×add-cbrt-cube associate-*l* add-exp-log
10×pow-prod-down
9×pow1/2
6×associate-*l/ unswap-sqr
4×rem-sqrt-square sqrt-div prod-exp cbrt-unprod insert-posit16 add-log-exp
3×sqrt-unprod
2×flip3-- *-commutative flip-- difference-of-squares
1×difference-of-sqr-1 distribute-lft-out--
Counts
4 → 112
Calls
4 calls:
1.0ms
(sqrt (sqrt x))
1.0ms
(sqrt (sqrt x))
68.0ms
(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x)))
31.0ms
(* (sqrt (- x 1)) (sqrt (sqrt x)))

series683.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(sqrt (sqrt x))
193.0ms
(sqrt (sqrt x))
71.0ms
(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x)))
207.0ms
(* (sqrt (- x 1)) (sqrt (sqrt x)))

simplify1.4s

Counts
124 → 124
Iterations
IterNodes
33353
21291
1476
0190

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×add-sqr-sqrt
2×diff-log distribute-lft-out--
1×pow1 sum-log sub-neg flip3-- add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
1 → 18
Calls
1 calls:
18.0ms
(- x (+ 1/2 (/ 1/8 x)))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(- x (+ 1/2 (/ 1/8 x)))

simplify3.4s

Counts
21 → 21
Iterations
IterNodes
45337
31316
2358
1105
043

prune115.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

27.3b
(sqrt (* (- x 1) x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1
2×sqrt-pow1 sqrt-div associate-*l/
1×add-sqr-sqrt *-un-lft-identity flip3-- add-cbrt-cube pow1/2 pow-prod-down add-exp-log add-cube-cbrt sqrt-prod insert-posit16 flip-- add-log-exp
Counts
1 → 14
Calls
1 calls:
9.0ms
(sqrt (* (- x 1) x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(sqrt (* (- x 1) x))

simplify2.2s

Counts
17 → 17
Iterations
IterNodes
53082
41228
3551
2226
1107
051

prune134.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
212
112
08

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.6s23946×body80nan
710.0ms7994×body80valid
1.0ms6×body160valid