Details

Time bar (total: 7.5s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms239×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
17
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
7.0ms
(sqrt (- 1.0 (* x x)))

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(sqrt (- 1.0 (* x x)))

simplify1.4s

Counts
20 → 20
Iterations
IterNodes
done5001
31892
2446
1155
068

prune99.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×log-pow sqrt-prod
7×exp-prod
6×*-un-lft-identity add-cube-cbrt
4×pow1
3×log-prod
2×add-cbrt-cube sqrt-div add-exp-log insert-posit16 add-log-exp difference-of-squares
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 rem-log-exp flip--
Counts
2 → 37
Calls
2 calls:
15.0ms
(log (exp (sqrt (- 1.0 (* x x)))))
7.0ms
(sqrt (- 1.0 (* x x)))

series176.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(log (exp (sqrt (- 1.0 (* x x)))))
93.0ms
(sqrt (- 1.0 (* x x)))

simplify1.6s

Counts
43 → 43
Iterations
IterNodes
done5001
32038
2501
1189
096

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×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×pow-prod-down insert-posit16 add-log-exp
2×rem-sqrt-square associate-*l/ associate-*r/ distribute-lft-out distribute-lft-out--
1×sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
3 → 79
Calls
3 calls:
12.0ms
(sqrt (+ (sqrt 1.0) x))
14.0ms
(sqrt (- (sqrt 1.0) x))
50.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))

series348.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(sqrt (+ (sqrt 1.0) x))
74.0ms
(sqrt (- (sqrt 1.0) x))
185.0ms
(* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))

simplify2.0s

Counts
88 → 88
Iterations
IterNodes
done5193
33128
2911
1329
0149

prune401.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
07

end0.0ms

sample827.0ms

Algorithm
intervals
Results
350.0ms8000×body80valid
288.0ms8102×body80nan