Details

Time bar (total: 7.7s)

analyze851.0ms (11%)

Algorithm
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
0%99.9%0.1%5
12.5%87.4%0.1%6
18.7%81.2%0.1%7
28.1%71.8%0.1%8
32.8%67.1%0.1%9
38.2%61.7%0.1%10
41%58.9%0.1%11
43.9%56%0.1%12
45.4%54.5%0.1%13
46.1%53.8%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample5.7s (73.5%)

Results
3.6s2047×body8192exit
745.0ms1401×body1024valid
713.0ms5754×body128valid
215.0ms731×body512valid
142.0ms318×body1024invalid
78.0ms365×body256valid
53.0ms193×body512invalid
16.0ms72×body256invalid
12.0ms89×body128invalid
8.0msbody2048valid
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
278

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))

series10.0ms (0.1%)

Counts
1 → 8
Calls

1 calls:

9.0ms
(*.f64 (exp.f64 re) (cos.f64 im))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
associate-*r*_binary64
associate-*l*_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 20
Calls

1 calls:

4.0ms
(*.f64 (exp.f64 re) (cos.f64 im))

simplify100.0ms (1.3%)

Algorithm
egg-herbie
Rules
943×fma-neg_binary64
594×cancel-sign-sub-inv_binary64
333×distribute-rgt-neg-in_binary64
263×*-commutative_binary64
243×distribute-rgt-in_binary64
Counts
28 → 43
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
067406
1167370
2476352
31277335
42313333
54556333
64836333
74972333
84841333

prune31.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New41243
Fresh000
Picked101
Done000
Total42244
Error
0b
Counts
44 → 2
Alt Table
StatusErrorProgram
0.2b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im))))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
Compiler

Compiled 554 to 209 computations (62.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (exp.f64 re))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))

series24.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

12.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))
8.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
3.0ms
(sqrt.f64 (exp.f64 re))

rewrite17.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
12×associate-*l*_binary64
11×pow1_binary64
10×sqrt-prod_binary64
10×*-un-lft-identity_binary64
Counts
3 → 65
Calls

3 calls:

7.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
5.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im))
1.0ms
(sqrt.f64 (exp.f64 re))

simplify121.0ms (1.6%)

Algorithm
egg-herbie
Rules
844×fma-neg_binary64
551×cancel-sign-sub-inv_binary64
401×fma-def_binary64
308×*-commutative_binary64
276×distribute-rgt-neg-in_binary64
Counts
101 → 123
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01291306
13151215
29401159
318761126
432531118
545261118
648131118
749201118

prune96.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1510151
Fresh011
Picked011
Done000
Total1512153
Error
0b
Counts
153 → 2
Alt Table
StatusErrorProgram
0.2b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im))))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
Compiler

Compiled 2368 to 712 computations (69.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))
0.1b
(*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im)))
0.2b
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im)))
0.2b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im))))

series63.0ms (0.8%)

Counts
3 → 72
Calls

3 calls:

32.0ms
(*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im)))
22.0ms
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im)))
9.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im))))

rewrite48.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
197×pow1_binary64
86×pow-prod-down_binary64
65×add-cbrt-cube_binary64
42×cbrt-unprod_binary64
39×prod-exp_binary64
Counts
3 → 126
Calls

3 calls:

14.0ms
(*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im)))
11.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im))))
7.0ms
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im)))

simplify118.0ms (1.5%)

Algorithm
egg-herbie
Rules
633×fma-def_binary64
513×*-commutative_binary64
441×fma-neg_binary64
429×cancel-sign-sub-inv_binary64
282×associate-*l*_binary64
Counts
198 → 147
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01663386
14352155
214732008
334512004
449062004
549722004

prune167.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2760276
Fresh000
Picked011
Done011
Total2762278
Error
0b
Counts
278 → 2
Alt Table
StatusErrorProgram
0.2b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im))))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
Compiler

Compiled 6484 to 1637 computations (74.8% saved)

regimes332.0ms (4.3%)

Accuracy

Total -0.0b remaining (-31.4%)

Threshold costs -0.0b (-31.4%)

Counts
84 → 1
Compiler

Compiled 5819 to 3955 computations (32% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
278

end39.0ms (0.5%)

Compiler

Compiled 46 to 25 computations (45.7% saved)

Profiling

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