Details

Time bar (total: 1.6s)

analyze85.0ms (5.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14

sample14.0ms (0.9%)

Algorithm
1×intervals
Results
7.0ms256×body80valid

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
078
178

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.1b

Counts
2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
31.1b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite9.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
4×add-log-exp_binary64 add-sqr-sqrt_binary64
3×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
2×flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64 sqrt-div_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 +-commutative_binary64 sum-log_binary64
Counts
2 → 26
Calls

2 calls:

5.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series14.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
6.0ms
(+.f64 (*.f64 re re) (*.f64 im im))

simplify61.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04909295
14909295

prune42.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 9.3b

Counts
33 → 5

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
5.8b
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
31.1b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite16.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
7×*-un-lft-identity_binary64 add-cube-cbrt_binary64
6×pow1_binary64 log-prod_binary64 exp-sum_binary64 sqrt-prod_binary64 exp-prod_binary64
5×add-log-exp_binary64
4×sqrt-div_binary64
3×flip3-+_binary64 log-pow_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
2×pow1/2_binary64 sqrt-pow1_binary64 exp-diff_binary64 log-div_binary64
1×rem-exp-log_binary64 rem-sqrt-square_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 48
Calls

3 calls:

6.0ms
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
5.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series23.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

9.0ms
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
7.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
6.0ms
(+.f64 (*.f64 re re) (*.f64 im im))

simplify65.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04933528
14933528

prune65.0ms (4.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh033
Picked101
Done011
Total55762

Merged error: 9.3b

Counts
62 → 7

localize14.0ms (0.9%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
6.0b
(pow.f64 E.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
31.1b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite17.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×pow1_binary64
6×pow-unpow_binary64 log-prod_binary64 unpow-prod-up_binary64 sqrt-prod_binary64
5×add-log-exp_binary64
4×add-exp-log_binary64 sqrt-div_binary64
3×flip3-+_binary64 log-pow_binary64 add-cbrt-cube_binary64 unpow-prod-down_binary64 flip-+_binary64
2×pow1/2_binary64 sqrt-pow1_binary64 pow-sub_binary64 log-div_binary64 pow-exp_binary64
1×pow-to-exp_binary64 pow-pow_binary64 sqr-pow_binary64 rem-sqrt-square_binary64 e-exp-1_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 55
Calls

3 calls:

7.0ms
(pow.f64 E.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
5.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series30.0ms (1.9%)

Counts
3 → 9
Calls

3 calls:

17.0ms
(pow.f64 E.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
7.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
6.0ms
(+.f64 (*.f64 re re) (*.f64 im im))

simplify41.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05040738

prune73.0ms (4.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New62264
Fresh055
Picked011
Done011
Total62971

Merged error: 9.3b

Counts
71 → 9

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms (0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New000
Fresh066
Picked011
Done022
Total099

Merged error: 9.3b

Counts
9 → 9

regimes587.0ms (36.9%)

Accuracy

Total 10.7b remaining (57%)

Threshold costs 0b (0%)

bsearch58.0ms (3.6%)

Steps
ItersRangePoint
9
1.927628548673228e+88
6.074586455626049e+94
7.392709190784314e+91
10
4.8457382017368e-177
1.7381009864721633e-161
9.758403782058524e-175
9
-1.9284662162410663e-204
-3.825912204666854e-210
-2.3620464573579147e-209
11
-1.0358721583088898e+161
-1.2161981908881225e+128
-4.3382686603473446e+135

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02736
12736

end0.0ms (0%)

sample348.0ms (21.9%)

Algorithm
1×intervals
Results
228.0ms8000×body80valid

Profiling

Loading profile data...