Details

analyze134.0ms (6.9%)

Algorithm

1×

Search

True	Other	False	Iter
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
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample36.0ms (1.9%)

Algorithm

1×

intervals

Results

10.0ms	42×	body	1024	valid
8.0ms	175×	body	128	valid
4.0ms	22×	body	1024	invalid
3.0ms	23×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	21×	body	128	invalid
1.0ms	5×	body	512	invalid
0.0ms	5×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify95.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1464`
3×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
2×	`add-exp-log_binary64_1480`
1×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

series38.0ms (2%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify84.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5010	222

prune12.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Error

0.0b

Counts

22 → 2

Compiler

Compiled 198 to 61 computations (69.2% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.2b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
10.4b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_1464`
8×	`add-cbrt-cube_binary64_1478` `cbrt-prod_binary64_1473` `pow1_binary64_1503`
7×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`add-exp-log_binary64_1480`
3×	`associate-r_binary64_1382` `associate-l_binary64_1383` `pow-unpow_binary64_1519` `add-log-exp_binary64_1481`
2×	`cube-mult_binary64_1472` `cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `cube-prod_binary64_1470` `pow-prod-down_binary64_1513` `rem-cube-cbrt_binary64_1465` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `prod-exp_binary64_1491` `unpow-prod-down_binary64_1521` `pow-pow_binary64_1514`
1×	`*-commutative_binary64_1373` `pow1/3_binary64_1524` `pow-to-exp_binary64_1511` `unswap-sqr_binary64_1410` `rem-cbrt-cube_binary64_1466`

Counts

3 → 57

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

series144.0ms (7.4%)

Counts

3 → 9

Calls

3 calls:

68.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
40.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
35.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify107.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4885	740
1	4885	740

prune40.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Error

0.0b

Counts

68 → 2

Compiler

Compiled 745 to 288 computations (61.3% saved)

regimes38.0ms (2%)

Accuracy

Total 0.0b remaining (6.6%)

Threshold costs 0.0b (6.6%)

Compiler

Compiled 87 to 95 computations (-9.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.2s (60.5%)

Algorithm

1×

intervals

Results

324.0ms	1378×	body	1024	valid
255.0ms	5628×	body	128	valid
112.0ms	668×	body	1024	invalid
86.0ms	674×	body	512	valid
38.0ms	858×	body	128	invalid
38.0ms	328×	body	512	invalid
27.0ms	318×	body	256	valid
12.0ms	140×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 24 to 26 computations (-8.3% saved)

Details

analyze134.0ms (6.9%)

sample36.0ms (1.9%)

simplify95.0ms (4.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite6.0ms (0.3%)

series38.0ms (2%)

simplify84.0ms (4.3%)

prune12.0ms (0.6%)

localize7.0ms (0.4%)

rewrite16.0ms (0.8%)

series144.0ms (7.4%)

simplify107.0ms (5.5%)

prune40.0ms (2.1%)

regimes38.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (60.5%)

Profiling