Details

Time bar (total: 4.1s)

sample34.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
10.0ms228×body80nan

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
4.0ms
(sqrt (- 1.0 (* x x)))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(sqrt (- 1.0 (* x x)))

simplify1.1s

Counts
20 → 20
Iterations
IterNodes
done2001
31892
2446
1155
068

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×sqrt-prod
24×*-un-lft-identity times-frac add-cube-cbrt
20×sqrt-div
12×frac-times
11×flip3-+ flip-+
10×pow1
9×flip3-- flip--
8×add-cbrt-cube add-exp-log associate-/l/
6×associate-/r* associate-*l/ associate-*r/
4×associate-*l* insert-posit16 associate-/l* add-log-exp
3×sqrt-pow1 associate-*r*
2×pow1/2 pow-prod-down associate-/r/
1×distribute-rgt-in cbrt-undiv rem-sqrt-square sqrt-undiv clear-num frac-2neg distribute-lft-in div-exp prod-exp *-commutative cbrt-unprod div-inv difference-of-squares unswap-sqr
Counts
4 → 124
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 (* x x)))
7.0ms
(sqrt (* (- 1.0 (* x x)) (+ 1.0 (* x x))))
19.0ms
(* (- 1.0 (* x x)) (+ 1.0 (* x x)))
14.0ms
(/ (sqrt (* (- 1.0 (* x x)) (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(sqrt (+ 1.0 (* x x)))
210.0ms
(sqrt (* (- 1.0 (* x x)) (+ 1.0 (* x x))))
183.0ms
(* (- 1.0 (* x x)) (+ 1.0 (* x x)))
85.0ms
(/ (sqrt (* (- 1.0 (* x x)) (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))

simplify522.0ms

Counts
136 → 136
Iterations
IterNodes
done2001
1549
0223

prune531.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

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

sample1.0s

Algorithm
intervals
Results
434.0ms7785×body80nan
419.0ms8000×body80valid