Details

Time bar (total: 13.0s)

sample90.0ms

Algorithm
intervals
Results
32.0ms286×body160nan
25.0ms522×body80nan
15.0ms256×body80valid

simplify4.0s

Counts
1 → 1
Iterations
IterNodes
93422
81055
7442
6232
595
458
333
217
114
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize13.0ms

Local error

Found 1 expressions with local error:

30.2b
(sqrt (- (* x x) 1))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
sqrt-prod
add-sqr-sqrt
*-un-lft-identity
pow1 sqrt-div add-cube-cbrt difference-of-squares
rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 difference-of-sqr-1 add-exp-log insert-posit16 flip-- add-log-exp
Counts
1 → 19
Calls
1 calls:
12.0ms
(sqrt (- (* x x) 1))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(sqrt (- (* x x) 1))

simplify2.8s

Counts
22 → 22
Iterations
IterNodes
53610
41246
3554
2250
1131
064

prune173.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (+ x 1)) (sqrt (- x 1)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
10×*-un-lft-identity associate-*r*
associate-*l*
pow1 add-cube-cbrt
frac-times unswap-sqr
flip3-+ flip3-- add-cbrt-cube pow-prod-down add-exp-log flip-+ flip--
sqrt-pow1 pow1/2 associate-*l/ associate-*r/ difference-of-squares
sqrt-unprod difference-of-sqr-1 prod-exp *-commutative cbrt-unprod insert-posit16 distribute-lft-out distribute-lft-out-- add-log-exp
Counts
1 → 44
Calls
1 calls:
44.0ms
(* (sqrt (+ x 1)) (sqrt (- x 1)))

series105.0ms

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

simplify1.3s

Counts
47 → 47
Iterations
IterNodes
42367
31030
2457
1225
0110

prune315.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
212
112
09

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.7s16545×body80nan
1.2s7880×body160nan
709.0ms8000×body80valid