Details

Time bar (total: 7.8s)

sample52.0ms

Algorithm
intervals
Results
12.0ms352×body80nan
12.0ms337×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22110
33610
46210
513310
628610
772710
8332910
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.9b

localize8.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (* y y) (* z z))
24.1b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

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:
8.0ms
(- (* y y) (* z z))
9.0ms
(sqrt (- (* y y) (* z z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (* y y) (* z z))
79.0ms
(sqrt (- (* y y) (* z z)))

simplify468.0ms

Counts
35 → 35
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
055404
1141372
2653320
done5001320

prune109.0ms

Pruning

4 alts after pruning (3 fresh and 1 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

prune9.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ y z))
0.3b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×sqrt-prod
14×sqrt-div
13×*-un-lft-identity
associate-*r*
pow1 add-cube-cbrt associate-*l*
add-exp-log frac-times flip3-+ add-cbrt-cube flip-+ unswap-sqr
flip3-- sqrt-pow1 pow1/2 pow-prod-down flip--
associate-*r/ associate-*l/ distribute-lft-out add-log-exp
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
7.0ms
(sqrt (+ y z))
62.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(sqrt (+ y z))
100.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify2.5s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0112794
1238719
2897697
34878689
done5001689

prune156.0ms

Pruning

4 alts after pruning (1 fresh and 3 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

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes333.0ms

bsearch29.0ms