Details

Time bar (total: 1.2min)

analyze16.5s (23.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
2.3%97.4%0.2%9
3.5%96.2%0.2%10
5.3%94.5%0.2%11
6.1%93.6%0.2%12
9.2%90.6%0.2%13
13.8%85.9%0.2%14
Compiler

Compiled 170 to 127 computations (25.3% saved)

sample1.3s (1.9%)

Algorithm
1×intervals
Results
440.0ms47×body4096valid
292.0ms51×body2048valid
261.0ms55×body1024valid
132.0ms2×body8192exit
78.0ms21×body512valid
54.0ms71×body128valid
24.0ms11×body256valid
Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify127.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05229273

prune21.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
54.0b
Counts
2 → 1
Compiler

Compiled 338 to 245 computations (27.5% saved)

localize63.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite254.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
53.9b
Rules
4×pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

4.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 4928 to 3522 computations (28.5% saved)

series625.0ms (0.9%)

Error
51.9b
Counts
4 → 20
Calls

4 calls:

81.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
70.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
70.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
70.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 9008 to 6635 computations (26.3% saved)

simplify93.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04782644
14782644

prune525.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh000
Picked101
Done000
Total44549
Error
51.9b
Counts
49 → 5
Compiler

Compiled 9164 to 6556 computations (28.5% saved)

localize71.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite259.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
51.9b
Rules
4×pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 5012 to 3579 computations (28.6% saved)

series406.0ms (0.6%)

Error
51.6b
Counts
4 → 18
Calls

4 calls:

75.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
74.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
74.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
45.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 8416 to 6201 computations (26.3% saved)

simplify104.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04782603
14782603

prune500.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44246
Fresh134
Picked011
Done000
Total45651
Error
51.6b
Counts
51 → 6
Compiler

Compiled 8956 to 6404 computations (28.5% saved)

localize86.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite250.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
51.6b
Rules
4×pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 4872 to 3495 computations (28.3% saved)

series460.0ms (0.6%)

Error
51.6b
Counts
4 → 20
Calls

4 calls:

86.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
73.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
73.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
73.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 8904 to 6599 computations (25.9% saved)

simplify98.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04782644
14782644

prune505.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New46248
Fresh134
Picked011
Done011
Total47754
Error
51.6b
Counts
54 → 7
Compiler

Compiled 9075 to 6514 computations (28.2% saved)

localize79.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.6b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite273.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Error
51.6b
Rules
4×pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 5236 to 3719 computations (29% saved)

series316.0ms (0.4%)

Error
51.6b
Counts
4 → 13
Calls

4 calls:

63.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
53.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
52.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
51.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 6840 to 4998 computations (26.9% saved)

simplify58.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04838497
14838497

prune413.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New40141
Fresh134
Picked101
Done022
Total42648
Error
51.6b
Counts
48 → 6
Compiler

Compiled 7513 to 5322 computations (29.2% saved)

regimes2.7s (3.7%)

Accuracy

Total 2.2b remaining (4%)

Threshold costs 0b (0%)

Compiler

Compiled 54221 to 40835 computations (24.7% saved)

bsearch641.0ms (0.9%)

Steps
ItersRangePoint
7
6.951048333605401e-103
1.0648097251092186e-100
9.255713959638297e-102
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0217536
1217536

end0.0ms (0%)

sample44.5s (62.5%)

Algorithm
1×intervals
Results
15.1s1575×body4096valid
8.2s1690×body1024valid
8.2s1367×body2048valid
4.3s65×body8192exit
2.2s704×body512valid
1.7s2353×body128valid
616.0ms311×body256valid
Compiler

Compiled 5187 to 3897 computations (24.9% saved)

Profiling

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