Details

Time bar (total: 3.0s)

sample36.0ms

Algorithm
intervals
Results
11.0ms333×body80valid
8.0ms319×body80nan

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.8b
(- (* y y) (* z z))
25.6b
(sqrt (- (* y y) (* z z)))

rewrite22.0ms

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:
12.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(* x (sqrt (- (* y y) (* z z))))
35.0ms
(- (* y y) (* z z))
55.0ms
(sqrt (- (* y y) (* z z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune216.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
2.8b
(- (* y y) (* z z))
25.6b
(sqrt (- (* y y) (* z z)))

rewrite10.0ms

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:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series484.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt x)
201.0ms
(cbrt x)
35.0ms
(- (* y y) (* z z))
57.0ms
(sqrt (- (* y y) (* z z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0172296
1561277
21858270
35001265

prune229.0ms

Filtered
73 candidates to 61 candidates (83.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

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

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.3b

localize2.0ms

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 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.3b

regimes382.0ms

Accuracy

98.2% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 25.7b

bsearch166.0ms

Steps
ItersRangePoint
10
-1.5324852384261613e-256
-7.909772593041413e-268
-7.9985446061757e-268

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
1173
2173

end0.0ms

sample931.0ms

Algorithm
intervals
Results
267.0ms10112×body80valid
262.0ms10157×body80nan