Details

Time bar (total: 21.4s)

sample78.0ms

Algorithm
intervals
Results
21.0ms321×body80valid
17.0ms268×body80nan

simplify14.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22110
33610
46210
513310
619110
737310
8154110
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize12.0ms

Local error

Found 2 expressions with local error:

2.0b
(- (* y y) (* z z))
24.9b
(sqrt (- (* y y) (* z z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
9.0ms
(- (* y y) (* z z))
9.0ms
(sqrt (- (* y y) (* z z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* y y) (* z z))
56.0ms
(sqrt (- (* y y) (* z z)))

simplify3.2s

Counts
35 → 35
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
055404
1120372
2301320
3975320
44860320
done5000320

prune121.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ y z) (- y z))
24.9b
(sqrt (* (+ y z) (- y z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt frac-times *-un-lft-identity sqrt-div
pow1
flip3-- flip3-+ flip-- flip-+
associate-*r*
add-exp-log add-cube-cbrt associate-*r/ associate-*l* associate-*l/ add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 pow-prod-down add-log-exp
pow1/2 prod-exp sqrt-prod *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 52
Calls
2 calls:
57.0ms
(* (+ y z) (- y z))
12.0ms
(sqrt (* (+ y z) (- y z)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (+ y z) (- y z))
70.0ms
(sqrt (* (+ y z) (- y z)))

simplify2.6s

Counts
58 → 58
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
096756
1224708
2920674
34427669
done5001669

prune149.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes197.0ms

bsearch12.0ms