Details

Time bar (total: 4.8s)

sample40.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
9.0ms208×body80nan

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log insert-posit16 flip-- add-log-exp difference-of-squares
Counts
1 → 17
Calls
1 calls:
9.0ms
(sqrt (- 1.0 (* x x)))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(sqrt (- 1.0 (* x x)))

simplify1.3s

Counts
20 → 20
Iterations
IterNodes
done5001
31892
2446
1155
068

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ 1.0 (* x x)))
0.0b
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))
0.1b
(* (* x x) (* x x))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
115×pow1
55×sqrt-prod
42×times-frac
36×pow-prod-up
35×add-sqr-sqrt
34×*-un-lft-identity add-cube-cbrt
23×pow-prod-down
22×pow-sqr
18×pow-plus
17×add-cbrt-cube add-exp-log
13×pow2
8×prod-exp cbrt-unprod
7×associate-/l* difference-of-squares
6×associate-/r* sqrt-div
3×insert-posit16 add-log-exp
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv rem-sqrt-square sqrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 swap-sqr div-exp associate-*r* associate-*l* *-commutative div-inv flip-- unswap-sqr
Counts
3 → 153
Calls
3 calls:
9.0ms
(sqrt (+ 1.0 (* x x)))
43.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))
61.0ms
(* (* x x) (* x x))

series278.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(sqrt (+ 1.0 (* x x)))
168.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))
57.0ms
(* (* x x) (* x x))

simplify1.4s

Counts
162 → 162
Iterations
IterNodes
done5002
21392
1472
0205

prune478.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample816.0ms

Algorithm
intervals
Results
326.0ms8071×body80nan
305.0ms8000×body80valid