Details

Time bar (total: 1.3s)

sample40.0ms

Algorithm
intervals
Results
12.0ms337×body80valid
11.0ms306×body80nan

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 21.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
21.8b
(sqrt (- (* y y) (* z z)))

rewrite20.0ms

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))
7.0ms
(sqrt (- (* y y) (* z z)))

series156.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* x (sqrt (- (* y y) (* z z))))
37.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune156.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New67471
Fresh000
Picked101
Done000
Total68472

Merged error: 0.3b

Counts
72 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (* y y) (* z z))
2.0b
(- (* y y) (* z z))
21.8b
(sqrt (- (* y y) (* z z)))
21.8b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
4 → 70
Calls
4 calls:
4.0ms
(- (* y y) (* z z))
4.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* y y) (* z z))
32.0ms
(- (* y y) (* z z))
52.0ms
(sqrt (- (* y y) (* z z)))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0135420
1482394
21632388
35001378

prune222.0ms

Filtered
82 candidates to 66 candidates (80.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done000
Total82486

Merged error: 0.3b

Counts
86 → 4

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.3b

Counts
4 → 4

localize2.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.3b

Counts
4 → 4

regimes228.0ms

bsearch14.0ms