Details

Time bar (total: 22.2s)

sample57.0ms

Algorithm
intervals
Results
21.0ms323×body80valid
10.0ms331×body80nan

simplify15.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22110
33610
46210
513310
619110
737310
8154110
done500010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize8.0ms

Local error

Found 2 expressions with local error:

1.6b
(- (* y y) (* z z))
18.1b
(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)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* y y) (* z z))
66.0ms
(sqrt (- (* y y) (* z z)))

simplify3.0s

Counts
35 → 35
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
055404
1120372
2301320
3975320
44860320
done5000320

prune99.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize3.0ms

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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×sqrt-prod
12×sqrt-div
*-un-lft-identity
associate-*r*
associate-*l*
pow1 add-cube-cbrt
frac-times unswap-sqr
add-exp-log flip3-- flip3-+ pow-prod-down add-cbrt-cube flip-- flip-+
sqrt-pow1 pow1/2 associate-*r/ associate-*l/
sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 41
Calls
1 calls:
47.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify3.2s

Counts
44 → 44
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
095620
1191562
2478550
31180548
42893545
done5000545

prune144.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes313.0ms

bsearch156.0ms