Details

Time bar (total: 1.8s)

sample31.0ms

Algorithm
intervals
Results
8.0ms312×body80valid
7.0ms303×body80nan

simplify93.0ms

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: 25.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.4b
(- (* y y) (* z z))
24.3b
(sqrt (- (* y y) (* z z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×*-commutative
12×difference-of-squares
sqrt-prod
sqrt-div associate-*r* prod-diff
flip3-- flip--
fma-neg associate-*r/
sub-neg pow1/2
Counts
3 → 28
Calls
3 calls:
5.0ms
(* x (sqrt (- (* y y) (* z z))))
5.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* x (sqrt (- (* y y) (* z z))))
39.0ms
(- (* y y) (* z z))
49.0ms
(sqrt (- (* y y) (* z z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0107148
1341145
2858142
32720129
45001129

prune65.0ms

Filtered
37 candidates to 20 candidates (54.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338

Merged error: 0.3b

Counts
38 → 3

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 (1.0ms)

IterNodesCost
000

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033

Merged error: 0.3b

Counts
3 → 3

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 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0.3b

Counts
3 → 3

regimes240.0ms

Accuracy

98% (0.5b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 25.2b

bsearch146.0ms

Steps
ItersRangePoint
11
-1.7275912654739158e-230
-1.8080091660941239e-264
-1.835352579274073e-264

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
1173
2173

end0.0ms

sample902.0ms

Algorithm
intervals
Results
270.0ms10136×body80valid
242.0ms10044×body80nan