Details

Time bar (total: 9.5s)

sample103.0ms

Algorithm
intervals
Results
30.0ms791×body80nan
7.0ms256×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
067
197
2107
done107

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-exp-log pow-prod-down add-cbrt-cube
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/
1×expm1-log1p-u flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 36
Calls
1 calls:
41.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series154.0ms

Counts
1 → 3
Calls
1 calls:
154.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify2.6s

Counts
39 → 39
Iterations

Useful iterations: done (2.6s)

IterNodesCost
085403
1197376
2689356
33842351
done5000350

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (- x 1.0)))
0.1b
(sqrt (sqrt (- x 1.0)))
0.3b
(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
0.3b
(* (sqrt (sqrt (- x 1.0))) (sqrt x))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
66×sqrt-prod
40×add-sqr-sqrt
36×sqrt-div
24×*-un-lft-identity
22×associate-*l*
20×pow1
16×add-cube-cbrt
13×sqrt-pow1
11×add-exp-log add-cbrt-cube
10×pow-prod-down associate-*l/
9×flip3-- pow1/2 flip--
7×associate-*r*
6×unswap-sqr
4×expm1-log1p-u frac-times rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×sqrt-unprod
2×associate-*r/ *-commutative
Counts
4 → 130
Calls
4 calls:
9.0ms
(sqrt (sqrt (- x 1.0)))
11.0ms
(sqrt (sqrt (- x 1.0)))
127.0ms
(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
75.0ms
(* (sqrt (sqrt (- x 1.0))) (sqrt x))

series736.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(sqrt (sqrt (- x 1.0)))
115.0ms
(sqrt (sqrt (- x 1.0)))
91.0ms
(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
397.0ms
(* (sqrt (sqrt (- x 1.0))) (sqrt x))

simplify1.7s

Counts
142 → 142
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02372042
16071854
223921581
done50011565

prune475.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.0s23885×body80nan
488.0ms7994×body80valid
0.0ms6×body160valid