Details

Time bar (total: 12.8s)

sample467.0ms

Algorithm
intervals
Results
114.0ms768×body80nan
13.0ms256×body80valid

simplify146.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (124.0ms)

IterNodesCost
067
197
2107
done107

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite68.0ms

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×flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
61.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series279.0ms

Counts
1 → 3
Calls
1 calls:
279.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify3.2s

Counts
37 → 37
Iterations

Useful iterations: done (3.2s)

IterNodesCost
083387
1181354
2435338
3983335
42401334
done5001332

prune93.0ms

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

prune3.0ms

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)))
0.2b
(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
0.3b
(* (sqrt (sqrt (- x 1.0))) (sqrt x))

rewrite173.0ms

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×frac-times rem-sqrt-square prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
3×sqrt-unprod
2×associate-*r/ *-commutative
Counts
4 → 122
Calls
4 calls:
9.0ms
(sqrt (sqrt (- x 1.0)))
17.0ms
(sqrt (sqrt (- x 1.0)))
101.0ms
(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
41.0ms
(* (sqrt (sqrt (- x 1.0))) (sqrt x))

series819.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(sqrt (sqrt (- x 1.0)))
136.0ms
(sqrt (sqrt (- x 1.0)))
113.0ms
(* (sqrt (sqrt (- x 1.0))) (* (sqrt (sqrt (- x 1.0))) (sqrt x)))
437.0ms
(* (sqrt (sqrt (- x 1.0))) (sqrt x))

simplify3.8s

Counts
134 → 134
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
02311970
15631651
215481519
345971491
done50001491

prune386.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.0s24053×body80nan
479.0ms7995×body80valid
0.0ms5×body160valid