Details

Time bar (total: 1.7s)

sample743.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 54.065156%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
9.0ms256×body80valid
1.0ms29×body80nan
1.0ms18×body80invalid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1215
2365
3625
41335
52115
63975
717985
850015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.6b
(- (* y y) (* z z))
20.4b
(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)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0123189
1439175
21491175
35003174

prune51.0ms

Filtered
27 candidates to 35 candidates (-29.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh000
Picked011
Done000
Total32436

Merged error: 0.1b

Counts
36 → 4

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.1b

Counts
4 → 4

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.1b

Counts
4 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ y z))
0.2b
(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite15.0ms

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:
3.0ms
(sqrt (+ y z))
10.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(sqrt (+ y z))
13.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0242416
1855409
23626402
35001402

prune60.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New62163
Fresh000
Picked101
Done033
Total63467

Merged error: 0.1b

Counts
67 → 4

regimes482.0ms

bsearch12.0ms

Profiling

Loading profile data...