Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms228×body80nan

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done13
313
211
17
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
9.0ms
(sqrt (- 1.0 (* x x)))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(sqrt (- 1.0 (* x x)))

simplify754.0ms

Counts
22 → 22
Iterations
IterNodes
done2000
31991
2488
1163
070

prune91.0ms

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×sqrt-prod
17×*-un-lft-identity
16×sqrt-div
9×pow1 associate-*r* add-cube-cbrt
7×associate-*l*
5×add-cbrt-cube add-exp-log
4×frac-times sqrt-pow1 flip3-+ flip3-- pow1/2 flip-+ flip-- difference-of-squares unswap-sqr
3×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square associate-*l/ associate-*r/ hypot-def distribute-lft-out distribute-lft-out--
1×sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
3 → 87
Calls
3 calls:
10.0ms
(sqrt (- (sqrt 1.0) x))
10.0ms
(sqrt (+ (sqrt 1.0) x))
55.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))

series335.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(sqrt (- (sqrt 1.0) x))
72.0ms
(sqrt (+ (sqrt 1.0) x))
177.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))

simplify569.0ms

Counts
96 → 96
Iterations
IterNodes
done2003
2962
1350
0155

prune332.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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

sample972.0ms

Algorithm
intervals
Results
483.0ms8000×body80valid
310.0ms7785×body80nan