Details

Time bar (total: 2.1s)

sample40.0ms

Algorithm
intervals
Results
12.0ms323×body80valid
11.0ms312×body80nan

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
24.7b
(sqrt (- (* y y) (* z z)))

rewrite17.0ms

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×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
2×associate-*r/ unswap-sqr
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
4.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* x (sqrt (- (* y y) (* z z))))
35.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune155.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New66571
Fresh000
Picked101
Done000
Total67572

Merged error: 0b

Counts
72 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (fma y y (- (* z z)))))
2.5b
(fma y y (- (* z z)))
24.7b
(sqrt (fma y y (- (* z z))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity sqrt-prod
6×pow1 associate-*r*
5×add-exp-log add-cbrt-cube
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef
Counts
3 → 49
Calls
3 calls:
5.0ms
(* x (sqrt (fma y y (- (* z z)))))
1.0ms
(fma y y (- (* z z)))
2.0ms
(sqrt (fma y y (- (* z z))))

series180.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* x (sqrt (fma y y (- (* z z)))))
39.0ms
(fma y y (- (* z z)))
58.0ms
(sqrt (fma y y (- (* z z))))

simplify56.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0118308
1396288
21682285
35001285

prune114.0ms

Filtered
58 candidates to 41 candidates (70.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58058
Fresh044
Picked011
Done000
Total58563

Merged error: 0b

Counts
63 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(- (* y y) (* z z))
24.7b
(sqrt (- (* y y) (* z z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log expm1-log1p-u sqrt-prod add-cbrt-cube log1p-expm1-u
2×flip3-- pow1/3 sqrt-div flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt x)
184.0ms
(cbrt x)
38.0ms
(- (* y y) (* z z))
48.0ms
(sqrt (- (* y y) (* z z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0172296
1561277
21858270
35001265

prune198.0ms

Filtered
73 candidates to 61 candidates (83.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh033
Picked011
Done011
Total73578

Merged error: 0b

Counts
78 → 5

localize4.0ms

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

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0b

Counts
5 → 5

regimes358.0ms

bsearch15.0ms