Details

Time bar (total: 6.2s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms208×body80nan

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done13
313
211
17
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
1×expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log insert-posit16 log1p-expm1-u flip-- add-log-exp difference-of-squares
Counts
1 → 19
Calls
1 calls:
14.0ms
(sqrt (- 1.0 (* x x)))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(sqrt (- 1.0 (* x x)))

simplify2.0s

Counts
22 → 22
Iterations
IterNodes
done5005
31991
2488
1163
070

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

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))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
115×pow1
55×sqrt-prod
42×times-frac
36×add-sqr-sqrt pow-prod-up
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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 hypot-def div-inv flip-- unswap-sqr
Counts
3 → 160
Calls
3 calls:
10.0ms
(sqrt (+ 1.0 (* x x)))
30.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))
34.0ms
(* (* x x) (* x x))

series277.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(sqrt (+ 1.0 (* x x)))
150.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))))
56.0ms
(* (* x x) (* x x))

simplify2.0s

Counts
169 → 169
Iterations
IterNodes
done5000
21374
1493
0211

prune543.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes118.0ms

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

sample926.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid
355.0ms8071×body80nan