Details

Time bar (total: 2.2s)

sample37.0ms

Algorithm
intervals
Results
9.0ms359×body80nan
9.0ms321×body80valid

simplify160.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune3.0ms

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: 24.7b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.6b
(- (* y y) (* z z))
23.6b
(sqrt (- (* y y) (* z z)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
379×add-sqr-sqrt
225×prod-diff
198×*-un-lft-identity
162×add-cube-cbrt
129×swap-sqr associate-*r*
108×associate-*l*
75×difference-of-squares
67×sqrt-prod
63×unswap-sqr
62×*-commutative
15×fma-neg distribute-lft-out--
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×expm1-log1p-u flip3-- flip-- log1p-expm1-u
2×associate-*r/
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp cbrt-unprod
Counts
3 → 387
Calls
3 calls:
28.0ms
(* x (sqrt (- (* y y) (* z z))))
26.0ms
(- (* y y) (* z z))
38.0ms
(sqrt (- (* y y) (* z z)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(* x (sqrt (- (* y y) (* z z))))
43.0ms
(- (* y y) (* z z))
54.0ms
(sqrt (- (* y y) (* z z)))

simplify139.0ms

Algorithm
egg-herbie
Counts
396 → 396
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
07293922
119622710
250021951

prune207.0ms

Filtered
396 candidates to 81 candidates (20.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3924396
Fresh000
Picked011
Done000
Total3925397

Merged error: 0.1b

Counts
397 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* y y) (* z z))
23.6b
(sqrt (- (* y y) (* z z)))
23.6b
(sqrt (- (* y y) (* z z)))
23.6b
(sqrt (- (* y y) (* z z)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
427×add-sqr-sqrt
225×prod-diff
210×*-un-lft-identity
162×add-cube-cbrt
141×swap-sqr
109×associate-*l*
100×difference-of-squares
99×sqrt-prod
93×associate-*r*
71×*-commutative unswap-sqr
20×distribute-lft-out--
15×fma-neg
7×pow1
6×sqrt-div add-log-exp
4×add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u
3×rem-sqrt-square sqrt-pow1 pow1/2
1×sub-neg diff-log
Counts
4 → 425
Calls
4 calls:
25.0ms
(- (* y y) (* z z))
38.0ms
(sqrt (- (* y y) (* z z)))
34.0ms
(sqrt (- (* y y) (* z z)))
38.0ms
(sqrt (- (* y y) (* z z)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* y y) (* z z))
53.0ms
(sqrt (- (* y y) (* z z)))
58.0ms
(sqrt (- (* y y) (* z z)))
55.0ms
(sqrt (- (* y y) (* z z)))

simplify137.0ms

Algorithm
egg-herbie
Counts
437 → 437
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
06444184
116312973
250022214

prune312.0ms

Filtered
437 candidates to 94 candidates (21.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4370437
Fresh033
Picked011
Done011
Total4375442

Merged error: 0.1b

Counts
442 → 5

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0.1b

Counts
5 → 5

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 0.1b

Counts
5 → 5

regimes396.0ms

bsearch36.0ms