Details

Time bar (total: 1.7s)

analyze382.0ms

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

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms56×body80nan
1.0ms20×body80invalid

simplify78.0ms

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: 24.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.6b
(- (* y y) (* z z))
25.6b
(sqrt (- (* y y) (* z z)))

rewrite15.0ms

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)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (20.0ms)

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: 0.4b

Counts
64 → 4

localize3.0ms

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: 0.4b

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

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.4b

Counts
4 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-div
20×add-sqr-sqrt
17×sqrt-prod
15×*-un-lft-identity
13×pow1
12×associate-*r/
10×add-exp-log associate-*l* add-cbrt-cube
add-cube-cbrt associate-*r*
frac-times
flip3-+ flip-+
flip3-- pow-prod-down flip--
associate-*l/ prod-exp cbrt-unprod unswap-sqr
sqrt-pow1 pow1/2 add-log-exp
*-commutative distribute-lft-out
rem-sqrt-square sqrt-unprod distribute-lft-out-- difference-of-squares
Counts
3 → 83
Calls
3 calls:
11.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
4.0ms
(sqrt (+ y z))
10.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* x (* (sqrt (+ y z)) (sqrt (- y z))))
6.0ms
(sqrt (+ y z))
15.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0339626
11262604
25001598

prune79.0ms

Filtered
64 candidates to 92 candidates (-43.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done033
Total92496

Merged error: 0.4b

Counts
96 → 4

regimes720.0ms

bsearch64.0ms

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