Details

Time bar (total: 3.8s)

sample30.0ms

Algorithm
intervals
Results
8.0ms307×body80valid
7.0ms290×body80nan

simplify880.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
11410
22110
33610
46310
510410
616810
733610
8165710
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize7.0ms

Local error

Found 2 expressions with local error:

1.8b
(- (* y y) (* z z))
26.4b
(sqrt (- (* y y) (* z z)))

rewrite7.0ms

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:
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- (* y y) (* z z))
51.0ms
(sqrt (- (* y y) (* z z)))

simplify889.0ms

Counts
35 → 35
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
055404
1122372
2423320
31665320
done5001320

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune5.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×sqrt-prod
17×*-un-lft-identity
16×sqrt-div
pow1 add-cube-cbrt
associate-*r*
associate-*l*
add-exp-log add-cbrt-cube
frac-times flip3-- sqrt-pow1 flip3-+ pow1/2 flip-- flip-+ unswap-sqr
pow-prod-down add-log-exp
rem-sqrt-square associate-*r/ associate-*l/ distribute-lft-out distribute-lft-out-- difference-of-squares
sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
3 → 74
Calls
3 calls:
4.0ms
(sqrt (+ y z))
4.0ms
(sqrt (- y z))
21.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(sqrt (+ y z))
67.0ms
(sqrt (- y z))
71.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0116980
1240880
2751856
32523834
done5000832

prune193.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes246.0ms

bsearch28.0ms