Details

Time bar (total: 16.3s)

sample375.0ms

Algorithm
intervals
Results
229.0ms853×body80nan
56.0ms255×body80valid
0.0ms1×body160valid

simplify14.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
112
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

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
Counts
2 → 61
Calls
2 calls:
12.0ms
(sqrt (- x 1))
63.0ms
(* (sqrt (- x 1)) (sqrt x))

series159.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(sqrt (- x 1))
102.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify3.0s

Counts
67 → 67
Iterations
IterNodes
done5000
44080
31371
2541
1247
0113

prune230.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

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×expm1-log1p-u rem-sqrt-square sqrt-div prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-unprod
2×flip3-- *-commutative flip-- difference-of-squares
1×difference-of-sqr-1 distribute-lft-out--
Counts
4 → 120
Calls
4 calls:
3.0ms
(sqrt (sqrt x))
3.0ms
(sqrt (sqrt x))
51.0ms
(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x)))
43.0ms
(* (sqrt (- x 1)) (sqrt (sqrt x)))

series684.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(sqrt (sqrt x))
207.0ms
(sqrt (sqrt x))
84.0ms
(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (sqrt (sqrt x)))
200.0ms
(* (sqrt (- x 1)) (sqrt (sqrt x)))

simplify3.3s

Counts
132 → 132
Iterations
IterNodes
done5000
34637
21548
1507
0196

prune511.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune12.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (fabs (cbrt (sqrt x))))
0.4b
(* (sqrt (- x 1)) (sqrt (sqrt x)))
0.5b
(cbrt (sqrt x))
0.5b
(cbrt (sqrt x))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
31×sqrt-prod
30×add-sqr-sqrt
17×*-un-lft-identity
14×add-cube-cbrt
13×pow1
12×cbrt-prod associate-*r*
11×add-cbrt-cube associate-*l* add-exp-log
6×pow-prod-down associate-*l/ unswap-sqr
4×expm1-log1p-u sqrt-div prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×sqrt-pow1 flip3-- pow1/2 pow1/3 *-commutative flip-- difference-of-squares
1×sqrt-unprod difference-of-sqr-1 distribute-lft-out--
Counts
4 → 101
Calls
4 calls:
44.0ms
(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (fabs (cbrt (sqrt x))))
34.0ms
(* (sqrt (- x 1)) (sqrt (sqrt x)))
1.0ms
(cbrt (sqrt x))
1.0ms
(cbrt (sqrt x))

series879.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (* (sqrt (- x 1)) (sqrt (sqrt x))) (fabs (cbrt (sqrt x))))
204.0ms
(* (sqrt (- x 1)) (sqrt (sqrt x)))
244.0ms
(cbrt (sqrt x))
254.0ms
(cbrt (sqrt x))

simplify2.6s

Counts
113 → 113
Iterations
IterNodes
done5006
21860
1619
0238

prune586.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.6s24677×body80nan
564.0ms7992×body80valid
1.0ms8×body160valid