Details

Time bar (total: 6.7s)

sample192.0ms

Algorithm
intervals
Results
49.0ms800×body80nan
14.0ms255×body80valid
0.0ms1×body160valid

simplify280.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06162
19162
210162
done10162

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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×flip3-- sqrt-unprod prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
42.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series137.0ms

Counts
1 → 3
Calls
1 calls:
137.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify4.1s

Counts
37 → 37
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
0839739
11908493
24898371
313538331
446558251
done50028251

prune150.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×add-sqr-sqrt
2×diff-log distribute-lft-out--
1×pow1 sum-log sub-neg flip3-- add-cbrt-cube add-exp-log add-cube-cbrt flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
1 → 17
Calls
1 calls:
46.0ms
(- x (+ 0.5 (/ 0.125 x)))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(- x (+ 0.5 (/ 0.125 x)))

simplify1.5s

Counts
20 → 20
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0424542
11034031
22943908
312483908
done50033908

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

28.5b
(sqrt (* (- x 1.0) x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1
2×sqrt-pow1 sqrt-div associate-*l/
1×add-sqr-sqrt *-un-lft-identity flip3-- add-cbrt-cube pow1/2 pow-prod-down add-exp-log add-cube-cbrt sqrt-prod flip-- add-log-exp
Counts
1 → 13
Calls
1 calls:
6.0ms
(sqrt (* (- x 1.0) x))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(sqrt (* (- x 1.0) x))

simplify23.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0513702