Details

Time bar (total: 1.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
174

prune2.0ms

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: 31.5b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

29.5b
(sqrt (+ (* re re) (* im im)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(sqrt (+ (* re re) (* im im)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify135.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 5 (133.0ms)

IterNodesCost
089100
121597
250397
3126597
4422797
5500296

prune32.0ms

Filtered
18 candidates to 15 candidates (16.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14418
Fresh000
Picked011
Done000
Total14519

Merged error: 14.8b

Counts
19 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (sqrt (+ (* re re) (* im im))) 3)
29.5b
(sqrt (+ (* re re) (* im im)))
40.5b
(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
15×add-sqr-sqrt sqrt-prod
14×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
6×pow1 sqrt-div
4×add-exp-log cube-div add-cbrt-cube
3×pow-unpow pow-pow flip3-+ flip-+ add-log-exp
2×cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 78
Calls
3 calls:
5.0ms
(pow (sqrt (+ (* re re) (* im im))) 3)
3.0ms
(sqrt (+ (* re re) (* im im)))
5.0ms
(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

series26.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(pow (sqrt (+ (* re re) (* im im))) 3)
5.0ms
(sqrt (+ (* re re) (* im im)))
6.0ms
(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

simplify35.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0256566
1979544
25002534

prune79.0ms

Filtered
87 candidates to 47 candidates (46.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85287
Fresh033
Picked011
Done011
Total85792

Merged error: 14.8b

Counts
92 → 7

localize2.0ms

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

prune9.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done022
Total077

Merged error: 14.8b

Counts
7 → 7

localize1.0ms

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

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done033
Total077

Merged error: 14.8b

Counts
7 → 7

regimes433.0ms

Accuracy

66% (7.3b remaining)

Error of 17.6b against oracle of 10.3b and baseline of 31.7b

bsearch26.0ms

Steps
ItersRangePoint
9
3.111996715461135e+103
5.971397391155842e+111
1.5400045087203528e+111
7
-2.0989333527105717e+115
-3.515939334884751e+113
-1.8293918188906869e+115

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0175
1175

end0.0ms

sample434.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid

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