Details

Time bar (total: 7.5s)

sample67.0ms

Algorithm
intervals
Results
16.0ms337×body80valid
16.0ms352×body80nan

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22210
33910
47110
516410
636910
790810
8375310
done500010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.9b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
2 → 35
Calls
2 calls:
11.0ms
(- (* y y) (* z z))
21.0ms
(sqrt (- (* y y) (* z z)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* y y) (* z z))
72.0ms
(sqrt (- (* y y) (* z z)))

simplify679.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (150.0ms)

IterNodesCost
062456
1151416
2699361
done5001361

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
20×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--
expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u distribute-lft-out add-log-exp
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod hypot-def distribute-lft-out-- difference-of-squares
Counts
2 → 62
Calls
2 calls:
17.0ms
(sqrt (+ y z))
65.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series197.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(sqrt (+ y z))
140.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify877.0ms

Counts
68 → 68
Iterations

Useful iterations: done (875.0ms)

IterNodesCost
0116824
1253744
2939718
done5000710

prune238.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

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

regimes330.0ms

bsearch35.0ms