Details

Time bar (total: 6.8s)

sample69.0ms

Algorithm
intervals
Results
18.0ms506×body80nan
18.0ms225×body160nan
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) 1.0)
30.3b
(sqrt (- (* x x) 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt sqrt-prod add-log-exp
pow1 prod-diff
expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u flip-- difference-of-squares
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 fma-neg diff-log
Counts
2 → 37
Calls
2 calls:
25.0ms
(- (* x x) 1.0)
10.0ms
(sqrt (- (* x x) 1.0))

series114.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- (* x x) 1.0)
64.0ms
(sqrt (- (* x x) 1.0))

simplify1.7s

Counts
43 → 43
Iterations
IterNodes
done5000
2930
1218
092

prune150.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* x x))
0.6b
(/ 0.125 (* x (* x x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt prod-exp cbrt-unprod
*-un-lft-identity pow-prod-up add-cube-cbrt
cbrt-undiv times-frac div-exp associate-*l* pow-prod-down associate-/l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow2 clear-num associate-/r* frac-2neg pow-plus cube-unmult associate-*r* pow-sqr *-commutative div-inv unswap-sqr
Counts
2 → 51
Calls
2 calls:
27.0ms
(* x (* x x))
24.0ms
(/ 0.125 (* x (* x x)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (* x x))
54.0ms
(/ 0.125 (* x (* x x)))

simplify1.0s

Counts
57 → 57
Iterations
IterNodes
done5000
2985
1174
074

prune270.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.3s15916×body80nan
808.0ms7437×body160nan
578.0ms8000×body80valid