Details

Time bar (total: 7.8s)

sample146.0ms

Algorithm
intervals
Results
48.0ms800×body80nan
13.0ms255×body80valid
0.0ms1×body160valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06162
19162
210162
done10162

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-cbrt-cube pow-prod-down add-exp-log
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/
1×expm1-log1p-u flip3-- sqrt-unprod prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 36
Calls
1 calls:
45.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series531.0ms

Counts
1 → 3
Calls
1 calls:
531.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify4.0s

Counts
39 → 39
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
08510223
11988952
25118855
314278766
449548711
done50008711

prune159.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (+ 0.5 (/ 0.125 x)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×prod-diff
11×add-sqr-sqrt
9×add-cube-cbrt
6×add-log-exp
4×distribute-lft-out
3×fma-neg
2×diff-log distribute-lft-out--
1×expm1-log1p-u pow1 sum-log sub-neg flip3-- add-cbrt-cube add-exp-log log1p-expm1-u flip-- associate--r+ difference-of-squares
Counts
1 → 34
Calls
1 calls:
58.0ms
(- x (+ 0.5 (/ 0.125 x)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(- x (+ 0.5 (/ 0.125 x)))

simplify2.7s

Iterations

Useful iterations: 3 (714.0ms)

IterNodesCost
06812163
116710498
23938442
314208262