Details

Time bar (total: 9.9s)

sample218.0ms

Algorithm
intervals
Results
81.0ms866×body80nan
20.0ms256×body80valid

simplify72.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
112
06

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
21.0ms
(* (sqrt (- x 1)) (sqrt x))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify1.2s

Counts
40 → 40
Iterations
IterNodes
42160
3978
2413
1186
085

prune350.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune6.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×associate-*r*
15×*-un-lft-identity
14×sqrt-prod
12×add-cube-cbrt
11×pow1 add-cbrt-cube add-exp-log
9×cbrt-prod
4×sqrt-div associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod insert-posit16 add-log-exp
2×flip3-- pow1/3 associate-*l/ *-commutative flip-- difference-of-squares unswap-sqr
1×difference-of-sqr-1 distribute-lft-out--
Counts
4 → 80
Calls
4 calls:
38.0ms
(* (* (fabs (cbrt x)) (sqrt (- x 1))) (sqrt (cbrt x)))
26.0ms
(* (fabs (cbrt x)) (sqrt (- x 1)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series744.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (* (fabs (cbrt x)) (sqrt (- x 1))) (sqrt (cbrt x)))
59.0ms
(* (fabs (cbrt x)) (sqrt (- x 1)))
256.0ms
(cbrt x)
270.0ms
(cbrt x)

simplify2.2s

Counts
92 → 92
Iterations
IterNodes
34678
21476
1501
0203

prune957.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
27
17
06

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.8s24072×body80nan
619.0ms7993×body80valid
1.0ms7×body160valid