Details

Time bar (total: 3.4s)

analyze271.0ms (7.9%)

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
25%74.9%0.1%5
25%74.9%0.1%6
31.2%50%18.8%7
34.3%43.7%22%8
45.3%26.5%28.2%9
46.8%23.4%29.8%10
48.8%14%37.2%11
49.8%12.1%38.1%12
52.8%7.1%40.1%13
53.3%6.1%40.6%14
Compiler

Compiled 22 to 12 computations (45.5% saved)

sample26.0ms (0.8%)

Algorithm
intervals
Results
14.0ms256×body128valid
1.0ms21×body128invalid
Compiler

Compiled 45 to 25 computations (44.4% saved)

simplify138.0ms (4%)

Algorithm
egg-herbie
Rules
613×sub-neg_binary64
578×fma-neg_binary64
529×neg-mul-1_binary64
501×neg-sub0_binary64
455×unsub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01434
12831
26231
313220
433720
588320
6149820
7351320
8406320
9397920
10461620
11477320
12492020
13491620

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.2b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
8.7b
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 81 to 49 computations (39.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
0.3b
(*.f64 (*.f64 x.re x.im) 3)

rewrite141.0ms (4.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
41×pow1_binary64
25×pow-prod-down_binary64
22×add-sqr-sqrt_binary64
20×add-exp-log_binary64
18×add-cube-cbrt_binary64
Counts
3 → 119
Calls

3 calls:

20.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
15.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
13.0ms
(*.f64 (*.f64 x.re x.im) 3)
Compiler

Compiled 2247 to 1298 computations (42.2% saved)

series50.0ms (1.5%)

Error
0.1b
Counts
3 → 24
Calls

3 calls:

22.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
14.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
10.0ms
(*.f64 (*.f64 x.re x.im) 3)
Compiler

Compiled 552 to 413 computations (25.2% saved)

simplify106.0ms (3.1%)

Algorithm
egg-herbie
Rules
705×fma-neg_binary64
535×fma-def_binary64
503×unswap-sqr_binary64
318×cancel-sign-sub-inv_binary64
249×distribute-rgt-neg-in_binary64
Counts
143 → 88
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01482375
13362240
214252143
343382141
449612141

prune61.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New81788
Fresh011
Picked011
Done000
Total81990
Error
0.0b
Counts
90 → 9
Alt Table
StatusErrorProgram
8.7b
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
0.7b
(-.f64 (*.f64 (*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)) (*.f64 (*.f64 3 (*.f64 x.re x.im)) (cbrt.f64 x.re))) (pow.f64 x.im 3))
0.2b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
44.5b
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 3 (*.f64 x.re x.im))) (sqrt.f64 x.re)) (*.f64 (sqrt.f64 (*.f64 3 (*.f64 x.re x.im))) (sqrt.f64 x.re))) (pow.f64 x.im 3))
17.9b
(-.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.re 2) (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2))) (cbrt.f64 (*.f64 3 (*.f64 x.im (pow.f64 x.re 2))))) (pow.f64 x.im 3))
0.2b
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
5.6b
(-.f64 (*.f64 x.re (*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2)) (cbrt.f64 (*.f64 3 (*.f64 x.re x.im))))) (pow.f64 x.im 3))
46.0b
(/.f64 (-.f64 (pow.f64 (*.f64 3 (*.f64 x.im (pow.f64 x.re 2))) 3) (pow.f64 (pow.f64 x.im 3) 3)) (fma.f64 (pow.f64 x.re 2) (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2) (fma.f64 (*.f64 3 (pow.f64 x.re 2)) (pow.f64 x.im 4) (pow.f64 x.im 6))))
33.5b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 3 (*.f64 x.im (pow.f64 x.re 2))) (pow.f64 x.im 3)) 3))
Compiler

Compiled 1540 to 1097 computations (28.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 x.re (*.f64 3 x.im)))
0.2b
(*.f64 x.re (*.f64 3 x.im))

rewrite175.0ms (5.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
41×pow1_binary64
25×pow-prod-down_binary64
22×add-sqr-sqrt_binary64
20×add-exp-log_binary64
18×add-cube-cbrt_binary64
Counts
3 → 119
Calls

3 calls:

23.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
15.0ms
(*.f64 x.re (*.f64 x.re (*.f64 3 x.im)))
14.0ms
(*.f64 x.re (*.f64 3 x.im))
Compiler

Compiled 2247 to 1442 computations (35.8% saved)

series48.0ms (1.4%)

Error
0.0b
Counts
3 → 24
Calls

3 calls:

23.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
13.0ms
(*.f64 x.re (*.f64 x.re (*.f64 3 x.im)))
10.0ms
(*.f64 x.re (*.f64 3 x.im))
Compiler

Compiled 552 to 413 computations (25.2% saved)

simplify109.0ms (3.2%)

Algorithm
egg-herbie
Rules
910×fma-neg_binary64
490×fma-def_binary64
427×unswap-sqr_binary64
293×cancel-sign-sub-inv_binary64
243×distribute-rgt-neg-in_binary64
Counts
143 → 89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01382267
13292162
213522080
343402080
449072080

prune59.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New86389
Fresh347
Picked101
Done011
Total90898
Error
0.0b
Counts
98 → 8
Alt Table
StatusErrorProgram
8.7b
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
0.7b
(-.f64 (*.f64 (*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)) (*.f64 (*.f64 3 (*.f64 x.re x.im)) (cbrt.f64 x.re))) (pow.f64 x.im 3))
46.0b
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 3 x.im) 2) (pow.f64 x.re 4)) (pow.f64 x.im 6)) (fma.f64 3 (*.f64 x.im (pow.f64 x.re 2)) (pow.f64 x.im 3)))
8.7b
(-.f64 (*.f64 (pow.f64 x.re 2) (*.f64 3 x.im)) (pow.f64 x.im 3))
0.2b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b
(-.f64 (*.f64 x.re (*.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
17.9b
(-.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.re 2) (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2))) (cbrt.f64 (*.f64 3 (*.f64 x.im (pow.f64 x.re 2))))) (pow.f64 x.im 3))
5.6b
(-.f64 (*.f64 x.re (*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2)) (cbrt.f64 (*.f64 3 (*.f64 x.re x.im))))) (pow.f64 x.im 3))
Compiler

Compiled 1439 to 1029 computations (28.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
0.2b
(*.f64 (*.f64 3 x.re) x.im)
0.2b
(*.f64 x.re (*.f64 (*.f64 3 x.re) x.im))

rewrite141.0ms (4.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
41×pow1_binary64
25×pow-prod-down_binary64
22×add-sqr-sqrt_binary64
20×add-exp-log_binary64
18×add-cube-cbrt_binary64
Counts
3 → 119
Calls

3 calls:

19.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
15.0ms
(*.f64 (*.f64 3 x.re) x.im)
14.0ms
(*.f64 x.re (*.f64 (*.f64 3 x.re) x.im))
Compiler

Compiled 2247 to 1448 computations (35.6% saved)

series46.0ms (1.4%)

Error
0.0b
Counts
3 → 24
Calls

3 calls:

22.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
12.0ms
(*.f64 x.re (*.f64 (*.f64 3 x.re) x.im))
10.0ms
(*.f64 (*.f64 3 x.re) x.im)
Compiler

Compiled 552 to 413 computations (25.2% saved)

simplify109.0ms (3.2%)

Algorithm
egg-herbie
Rules
896×fma-neg_binary64
546×fma-def_binary64
376×exp-prod_binary64
318×cancel-sign-sub-inv_binary64
254×distribute-rgt-neg-in_binary64
Counts
143 → 72
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01442330
13372172
214572116
339172116
449542116

prune60.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New71172
Fresh246
Picked011
Done011
Total73780
Error
0.0b
Counts
80 → 7
Alt Table
StatusErrorProgram
46.0b
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 3 x.im) 2) (pow.f64 x.re 4)) (pow.f64 x.im 6)) (fma.f64 3 (*.f64 x.im (pow.f64 x.re 2)) (pow.f64 x.im 3)))
0.2b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
8.7b
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
0.2b
(-.f64 (*.f64 x.re (*.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
17.9b
(-.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.re 2) (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2))) (cbrt.f64 (*.f64 3 (*.f64 x.im (pow.f64 x.re 2))))) (pow.f64 x.im 3))
5.6b
(-.f64 (*.f64 x.re (*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2)) (cbrt.f64 (*.f64 3 (*.f64 x.re x.im))))) (pow.f64 x.im 3))
8.6b
(-.f64 (*.f64 (*.f64 3 (pow.f64 x.re 2)) x.im) (pow.f64 x.im 3))
Compiler

Compiled 1366 to 989 computations (27.6% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 3 (*.f64 x.re x.im))
0.3b
(pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2)
11.3b
(cbrt.f64 (*.f64 3 (*.f64 x.re x.im)))
23.1b
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2))

rewrite248.0ms (7.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×pow1_binary64
19×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64
17×add-exp-log_binary64
13×pow-prod-down_binary64
Counts
4 → 139
Calls

4 calls:

91.0ms
(pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2)
17.0ms
(*.f64 3 (*.f64 x.re x.im))
12.0ms
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2))
11.0ms
(cbrt.f64 (*.f64 3 (*.f64 x.re x.im)))
Compiler

Compiled 2590 to 1676 computations (35.3% saved)

series148.0ms (4.3%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

54.0ms
(pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2)
38.0ms
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2))
33.0ms
(cbrt.f64 (*.f64 3 (*.f64 x.re x.im)))
12.0ms
(*.f64 3 (*.f64 x.re x.im))
Compiler

Compiled 1664 to 1267 computations (23.9% saved)

simplify113.0ms (3.3%)

Algorithm
egg-herbie
Rules
664×fma-def_binary64
430×log-prod_binary64
335×exp-prod_binary64
315×*-commutative_binary64
228×fma-neg_binary64
Counts
163 → 103
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01801762
13431672
28971641
324781523
446891523
549351523

prune78.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh044
Picked011
Done022
Total1028110
Error
0.0b
Counts
110 → 8
Alt Table
StatusErrorProgram
46.0b
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 3 x.im) 2) (pow.f64 x.re 4)) (pow.f64 x.im 6)) (fma.f64 3 (*.f64 x.im (pow.f64 x.re 2)) (pow.f64 x.im 3)))
0.2b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
8.7b
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
0.2b
(-.f64 (*.f64 x.re (*.f64 (*.f64 3 x.re) x.im)) (pow.f64 x.im 3))
17.9b
(-.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.re 2) (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2))) (cbrt.f64 (*.f64 3 (*.f64 x.im (pow.f64 x.re 2))))) (pow.f64 x.im 3))
5.6b
(-.f64 (*.f64 x.re (*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2)) (cbrt.f64 (*.f64 3 (*.f64 x.re x.im))))) (pow.f64 x.im 3))
8.6b
(-.f64 (*.f64 (*.f64 3 (pow.f64 x.re 2)) x.im) (pow.f64 x.im 3))
5.6b
(-.f64 (*.f64 x.re (*.f64 (cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x.re x.im)) 2)) (*.f64 (cbrt.f64 (*.f64 x.im x.re)) (cbrt.f64 3)))) (pow.f64 x.im 3))
Compiler

Compiled 1731 to 1138 computations (34.3% saved)

regimes301.0ms (8.8%)

Accuracy

Total 0.1b remaining (82.3%)

Threshold costs 0.1b (82.3%)

Compiler

Compiled 4530 to 3309 computations (27% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
11620
22120
32320
42420
52420

end1.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample944.0ms (27.6%)

Algorithm
intervals
Results
540.0ms8000×body128valid
34.0ms572×body128invalid
Compiler

Compiled 197 to 137 computations (30.5% saved)

Profiling

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