Details

Time bar (total: 1.1s)

analyze351.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%81.1%18.9%7
6.2%74.9%18.9%8
9.4%65.5%25.1%9
15.6%48.4%36%10
20.3%43.1%36.6%11
22.6%36%41.4%12
27.1%25.1%47.8%13
29.5%22.5%48%14

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
2.0ms52×body80nan
1.0ms23×body80invalid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
0651310

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.4b
(- (* y y) (* z z))
22.3b
(sqrt (- (* y y) (* z z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 28
Calls
2 calls:
4.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series12.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04920316
14920316

prune52.0ms

Filtered
27 candidates to 34 candidates (-25.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New31334
Fresh000
Picked101
Done000
Total32335

Merged error: 0b

Counts
35 → 3

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

prune6.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0b

Counts
3 → 3

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033

Merged error: 0b

Counts
3 → 3

localize11.0ms

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)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×sqrt-prod
17×*-un-lft-identity
16×sqrt-div
9×pow1 add-cube-cbrt
8×associate-*r*
7×associate-*l*
5×add-exp-log add-cbrt-cube
4×frac-times flip3-- sqrt-pow1 flip3-+ pow1/2 flip-- flip-+ unswap-sqr
3×pow-prod-down add-log-exp
2×rem-sqrt-square associate-*r/ associate-*l/ distribute-lft-out distribute-lft-out-- difference-of-squares
1×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)))

simplify52.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04960861
14960861

prune73.0ms

Filtered
59 candidates to 83 candidates (-40.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh000
Picked011
Done022
Total83386

Merged error: 0b

Counts
86 → 3

regimes218.0ms

bsearch62.0ms

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