Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
085
185

prune3.0ms

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: 30.7b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (sqrt (+ (* re re) (* im im))))
0.0b
(+ (* re re) (* im im))
28.7b
(sqrt (+ (* re re) (* im im)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
16×sqrt-prod
15×distribute-lft-out
12×associate-*l*
11×log-prod
7×add-sqr-sqrt
6×pow1 add-cube-cbrt swap-sqr
5×add-log-exp
4×add-exp-log sqrt-div
3×flip3-+ log-pow add-cbrt-cube flip-+
2×log-div sqrt-pow1 pow1/2
1×+-commutative rem-sqrt-square rem-log-exp sum-log
Counts
3 → 60
Calls
3 calls:
19.0ms
(log (sqrt (+ (* re re) (* im im))))
18.0ms
(+ (* re re) (* im im))
18.0ms
(sqrt (+ (* re re) (* im im)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(log (sqrt (+ (* re re) (* im im))))
31.0ms
(+ (* re re) (* im im))
43.0ms
(sqrt (+ (* re re) (* im im)))

simplify57.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0155424
1566385
21632385
35001385

prune117.0ms

Filtered
69 candidates to 41 candidates (59.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New65469
Fresh000
Picked011
Done000
Total65570

Merged error: 6.7b

Counts
70 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

13.3b
(sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
29.6b
(cbrt (+ (* re re) (* im im)))
29.6b
(cbrt (+ (* re re) (* im im)))
29.6b
(cbrt (+ (* re re) (* im im)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
172×*-un-lft-identity
106×cbrt-prod
71×associate-*l*
67×distribute-lft-out
62×sqrt-prod
47×swap-sqr
37×add-sqr-sqrt
18×cbrt-div
16×add-cube-cbrt
12×pow1
11×associate-*r*
9×rem-sqrt-square sqrt-pow1 flip3-+ pow1/3 flip-+
8×sqrt-div unswap-sqr
4×add-exp-log frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus pow1/2
Counts
4 → 150
Calls
4 calls:
53.0ms
(sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
18.0ms
(cbrt (+ (* re re) (* im im)))
17.0ms
(cbrt (+ (* re re) (* im im)))
18.0ms
(cbrt (+ (* re re) (* im im)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
106.0ms
(cbrt (+ (* re re) (* im im)))
109.0ms
(cbrt (+ (* re re) (* im im)))
110.0ms
(cbrt (+ (* re re) (* im im)))

simplify124.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
02431400
17571364
232361258
350021250

prune304.0ms

Filtered
162 candidates to 82 candidates (50.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh033
Picked011
Done011
Total1625167

Merged error: 6.7b

Counts
167 → 5

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

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 6.7b

Counts
5 → 5

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

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)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055

Merged error: 6.7b

Counts
5 → 5

regimes313.0ms

Accuracy

55.8% (10.7b remaining)

Error of 18.0b against oracle of 7.3b and baseline of 31.4b

bsearch120.0ms

Steps
ItersRangePoint
10
1.4300156806233347e+71
2.8787744468916765e+83
4.159364502598027e+82
10
6.748775549657439e-240
2.8231387681942284e-225
7.216811416584152e-238
8
-1.8208622260955044e-231
-6.0728879748155805e-236
-2.3437866053113895e-235
7
-2.368357192809402e+37
-1.5412000392698586e+35
-2.3080563981284436e+37

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample404.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid