Details

Time bar (total: 1.3s)

analyze334.0ms

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

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms63×body80nan
1.0ms23×body80invalid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
0651310

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.8b
(- (* y y) (* z z))
22.7b
(sqrt (- (* y y) (* z z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×flip3-- associate-*l* flip-- difference-of-squares
2×associate-*r/ unswap-sqr
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 53
Calls
3 calls:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
4.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04996609
14996609

prune80.0ms

Filtered
49 candidates to 62 candidates (-26.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New58462
Fresh000
Picked101
Done000
Total59463

Merged error: 0.0b

Counts
63 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b
(- (* y y) (* z z))
22.7b
(sqrt (- (* y y) (* z z)))
22.7b
(sqrt (- (* y y) (* z z)))
22.7b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×sqrt-prod
10×add-sqr-sqrt
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div add-log-exp
4×add-exp-log flip3-- add-cbrt-cube flip-- difference-of-squares
3×rem-sqrt-square sqrt-pow1 pow1/2
1×sub-neg diff-log
Counts
4 → 60
Calls
4 calls:
4.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))
7.0ms
(sqrt (- (* y y) (* z z)))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04920666
14920666

prune90.0ms

Filtered
59 candidates to 72 candidates (-22.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh033
Picked011
Done000
Total72476

Merged error: 0.0b

Counts
76 → 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 (2.0ms)

IterNodesCost
000

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.0b

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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.0b

Counts
4 → 4

regimes459.0ms

bsearch9.0ms

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