Details

Time bar (total: 1.9s)

sample747.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 53.997803%

Guaranteed chance to sample good point: 72.442616%

Results
12.0ms256×body80valid
1.0ms28×body80nan
0.0msbody80invalid

simplify91.0ms

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: 27.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.0b
(- (* y y) (* z z))
27.1b
(sqrt (- (* y y) (* z z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
add-exp-log add-cbrt-cube add-log-exp
sqrt-div
flip3-- associate-*l* flip-- difference-of-squares
associate-*r/ unswap-sqr
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 54
Calls
3 calls:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
3.0ms
(sqrt (- (* y y) (* z z)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* x (sqrt (- (* y y) (* z z))))
5.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0188364
1742340
23019337
35001337

prune69.0ms

Filtered
46 candidates to 63 candidates (-37.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464

Merged error: 0.2b

Counts
64 → 4

localize4.0ms

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

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.2b

Counts
4 → 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

prune4.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.2b

Counts
4 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(sqrt (+ y z))
9.0ms
(sqrt (- y z))
12.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0261511
1896503
23742493
35001493

prune76.0ms

Filtered
58 candidates to 83 candidates (-43.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh000
Picked101
Done033
Total83487

Merged error: 0.2b

Counts
87 → 4

regimes539.0ms

bsearch55.0ms

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