Details

Time bar (total: 6.5s)

sample12.0ms

Algorithm
intervals
Results
6.0ms338×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
275
done75

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) 1.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
17.0ms
(- (* x x) 1.0)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(- (* x x) 1.0)

simplify2.7s

Counts
16 → 16
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
032136
173133
2163113
3332113
4769113
52422113
done5000113

prune55.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*r*
frac-times associate-*l*
pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ difference-of-squares
pow-prod-down prod-exp sqrt-prod *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 34
Calls
1 calls:
92.0ms
(* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))

series185.0ms

Counts
1 → 3
Calls
1 calls:
185.0ms
(* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))

simplify3.3s

Counts
37 → 37
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
071551
1193433
2839397
34099393
done5000393

prune88.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes0.0ms