Details

Time bar (total: 1.5s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
174

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.5b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
26.7b
(sqrt (+ (* re re) (* im im)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
3.0ms
(+ (* re re) (* im im))
3.0ms
(sqrt (+ (* re re) (* im im)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* re re) (* im im))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify49.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0125177
1530163
21540163
35001162

prune75.0ms

Filtered
32 candidates to 25 candidates (21.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 6.5b

Counts
33 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.5b
(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
26.7b
(sqrt (+ (* re re) (* im im)))
26.7b
(sqrt (+ (* re re) (* im im)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
50×add-sqr-sqrt
34×sqrt-pow1
29×pow1
28×sqrt-div
18×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
add-exp-log add-cbrt-cube add-log-exp
pow-prod-down pow-sqr
frac-times
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
4.0ms
(+ (* re re) (* im im))
17.0ms
(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
3.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
6.0ms
(* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
6.0ms
(sqrt (+ (* re re) (* im im)))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify46.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0239967
11057893
25001872

prune255.0ms

Filtered
136 candidates to 70 candidates (48.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh033
Picked011
Done011
Total1365141

Merged error: 6.5b

Counts
141 → 5

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune5.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 6.5b

Counts
5 → 5

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 6.5b

Counts
5 → 5

regimes450.0ms

Accuracy

55.4% (10.5b remaining)

Error of 18.7b against oracle of 8.2b and baseline of 31.7b

bsearch109.0ms

Steps
ItersRangePoint
6
1.3653351403313602e+73
1.322226463547956e+74
1.2936263172600616e+74
7
-8.271287922560956e-294
-4.441296914487316e-296
-3.95737125833679e-295
7
-3.9997756247504785e-189
-4.9313450592572685e-191
-1.5391970346231962e-190
10
-6.190653983166317e+156
-1.198940147728456e+144
-5.02179966160643e+145

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample429.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid

Profiling

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