Details

Time bar (total: 2.6s)

analyze153.0ms (5.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
74.9%18.7%6.3%6
74.9%18.7%6.3%7
74.9%15.6%9.5%8
74.9%15.6%9.5%9
74.9%14%11%10
74.9%14%11%11
74.9%13.3%11.8%12
74.9%13.3%11.8%13
74.9%12.9%12.2%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample33.0ms (1.3%)

Algorithm
intervals
Results
9.0ms38×body1024valid
7.0ms182×body128valid
3.0ms27×body512valid
2.0ms16×body1024invalid
1.0msbody512invalid
1.0msbody256valid
0.0msbody256invalid
0.0msbody128invalid
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
278

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite23.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64
pow1_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64 associate-*r*_binary64
add-exp-log_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
1 → 18
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 180 to 50 computations (72.2% saved)

series31.0ms (1.2%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

22.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 303 to 186 computations (38.6% saved)

simplify116.0ms (4.5%)

Algorithm
egg-herbie
Rules
623×distribute-rgt-neg-in_binary64
544×cancel-sign-sub-inv_binary64
350×neg-mul-1_binary64
267×distribute-rgt-in_binary64 *-commutative_binary64
244×sub-neg_binary64
Counts
30 → 21
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066420
1166380
2455361
31125351
42021351
53838351
64533351
74950351
84743351

prune16.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh000
Picked011
Done000
Total19322
Error
0b
Counts
22 → 3
Alt Table
StatusErrorProgram
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
0.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
Compiler

Compiled 261 to 116 computations (55.6% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite78.0ms (3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64
13×pow1_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 sqrt-prod_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
sqrt-pow1_binary64
Counts
4 → 75
Calls

4 calls:

10.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
7.0ms
(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
2.0ms
(sqrt.f64 (exp.f64 re))
2.0ms
(sqrt.f64 (exp.f64 re))
Compiler

Compiled 1064 to 222 computations (79.1% saved)

series85.0ms (3.3%)

Error
0b
Counts
4 → 36
Calls

4 calls:

24.0ms
(*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re)))
22.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
10.0ms
(sqrt.f64 (exp.f64 re))
8.0ms
(sqrt.f64 (exp.f64 re))
Compiler

Compiled 1115 to 663 computations (40.5% saved)

simplify163.0ms (6.3%)

Algorithm
egg-herbie
Rules
497×cancel-sign-sub-inv_binary64
365×distribute-rgt-in_binary64
356×sub-neg_binary64
304×*-commutative_binary64
299×distribute-lft-in_binary64
Counts
111 → 67
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01261504
13031296
28531227
314151206
422341200
543351186
642301174
749331174
847871174

prune44.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh011
Picked011
Done011
Total67370
Error
0b
Counts
70 → 3
Alt Table
StatusErrorProgram
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
0.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
Compiler

Compiled 712 to 285 computations (60% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite66.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
cbrt-prod_binary64
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
4.0ms
(cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
4.0ms
(cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
3.0ms
(cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
Compiler

Compiled 1416 to 175 computations (87.6% saved)

series261.0ms (10.1%)

Error
0b
Counts
4 → 48
Calls

4 calls:

74.0ms
(*.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
51.0ms
(cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
49.0ms
(cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
48.0ms
(cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
Compiler

Compiled 2987 to 1627 computations (45.5% saved)

simplify130.0ms (5.1%)

Algorithm
egg-herbie
Rules
734×unswap-sqr_binary64
425×log-prod_binary64
334×cancel-sign-sub-inv_binary64
329×*-commutative_binary64
242×distribute-rgt-neg-in_binary64
Counts
106 → 90
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01172020
12831794
29651569
319291486
447471442
549271442
651851442

prune60.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done022
Total90393
Error
0b
Counts
93 → 3
Alt Table
StatusErrorProgram
0.0b
(*.f64 (exp.f64 re) (cos.f64 im))
0.0b
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
0.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re)))) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
Compiler

Compiled 1607 to 475 computations (70.4% saved)

regimes131.0ms (5.1%)

Accuracy

Total 0.0b remaining (32.5%)

Threshold costs 0.0b (32.5%)

Compiler

Compiled 1627 to 920 computations (43.5% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
278

end1.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.2s (44.9%)

Algorithm
intervals
Results
292.0ms1266×body1024valid
227.0ms5727×body128valid
93.0ms623×body1024invalid
82.0ms646×body512valid
42.0ms348×body512invalid
28.0ms354×body256valid
14.0ms187×body256invalid
10.0ms212×body128invalid
3.0msbody2048valid
Compiler

Compiled 58 to 33 computations (43.1% saved)

Profiling

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