Details

Time bar (total: 6.2s)

sample83.0ms

Algorithm
intervals
Results
21.0ms327×body80valid
19.0ms295×body80nan

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
83279
7725
6275
5133
462
336
221
114
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize12.0ms

Local error

Found 2 expressions with local error:

2.2b
(- (* y y) (* z z))
25.7b
(sqrt (- (* y y) (* z z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 *-un-lft-identity add-cube-cbrt
flip3-- add-cbrt-cube sqrt-div add-exp-log flip-- difference-of-squares
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (* y y) (* z z))
73.0ms
(sqrt (- (* y y) (* z z)))

simplify489.0ms

Counts
35 → 35
Iterations
IterNodes
done5000
2673
1141
055

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune12.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×sqrt-prod
14×sqrt-div
13×*-un-lft-identity
associate-*r*
pow1 associate-*l* add-cube-cbrt
frac-times flip3-- add-cbrt-cube add-exp-log flip-- unswap-sqr
sqrt-pow1 flip3-+ pow1/2 pow-prod-down flip-+
associate-*l/ associate-*r/ distribute-lft-out-- add-log-exp difference-of-squares
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out
Counts
2 → 58
Calls
2 calls:
7.0ms
(sqrt (- y z))
50.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series194.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(sqrt (- y z))
110.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify832.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
2942
1250
0115

prune287.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.1b

regimes644.0ms

bsearch9.0ms