Details

analyze137.0ms (5.1%)

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
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 6 to 6 computations (0% saved)

sample37.0ms (1.4%)

Algorithm

1×

intervals

Results

11.0ms	38×	body	1024	valid
8.0ms	185×	body	128	valid
4.0ms	20×	body	1024	invalid
2.0ms	17×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	8×	body	512	invalid
0.0ms	5×	body	256	invalid
0.0ms	7×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify170.0ms (6.3%)

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

Merged 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) (cos.f64 im))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1477`
3×	`associate-r_binary64_1395` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-cube-cbrt_binary64_1490` `associate-l_binary64_1396` `*-un-lft-identity_binary64_1455`
2×	`add-exp-log_binary64_1493`
1×	`prod-exp_binary64_1504` `add-log-exp_binary64_1494` `*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series59.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify53.0ms (2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4922	219
1	4922	219

prune22.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0b

Counts

22 → 3

Compiler

Compiled 250 to 102 computations (59.2% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
0.3b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_1477`
8×	`pow1_binary64_1516` `cbrt-prod_binary64_1486` `add-cbrt-cube_binary64_1491`
7×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
6×	`add-exp-log_binary64_1493`
3×	`associate-r_binary64_1395` `add-log-exp_binary64_1494` `pow-unpow_binary64_1532` `associate-l_binary64_1396`
2×	`prod-exp_binary64_1504` `cube-mult_binary64_1485` `unpow3_binary64_1521` `pow-pow_binary64_1527` `unpow-prod-down_binary64_1534` `sqr-pow_binary64_1427` `rem-cube-cbrt_binary64_1478` `cbrt-unprod_binary64_1488` `pow-exp_binary64_1523` `cube-prod_binary64_1483` `pow-prod-down_binary64_1526`
1×	`pow1/3_binary64_1537` `*-commutative_binary64_1386` `pow-to-exp_binary64_1524` `unswap-sqr_binary64_1423` `rem-cbrt-cube_binary64_1479`

Counts

3 → 57

Calls

3 calls:

6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

series239.0ms (8.9%)

Counts

3 → 9

Calls

3 calls:

124.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
59.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
55.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

simplify116.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4897	728
1	4897	728

prune49.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0b

Counts

69 → 3

Compiler

Compiled 784 to 324 computations (58.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
0.0b	(pow.f64 (exp.f64 re) 3)
0.2b	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3)))
0.4b	(pow.f64 (cos.f64 im) 3)

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_1477`
20×	`unpow-prod-down_binary64_1534` `cube-prod_binary64_1483`
17×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
16×	`unswap-sqr_binary64_1423`
14×	`add-exp-log_binary64_1493`
12×	`associate-r_binary64_1395` `sqr-pow_binary64_1427` `associate-l_binary64_1396`
9×	`prod-exp_binary64_1504`
8×	`pow-to-exp_binary64_1524` `add-cbrt-cube_binary64_1491` `pow-exp_binary64_1523`
6×	`pow1_binary64_1516` `pow-unpow_binary64_1532`
5×	`pow-pow_binary64_1527`
4×	`cube-mult_binary64_1485` `unpow3_binary64_1521` `add-log-exp_binary64_1494`
3×	`exp-prod_binary64_1507`
2×	`rem-cube-cbrt_binary64_1478` `pow-prod-down_binary64_1526`
1×	`pow1/3_binary64_1537` `cbrt-prod_binary64_1486` `*-commutative_binary64_1386` `cbrt-unprod_binary64_1488` `rem-cbrt-cube_binary64_1479`

Counts

4 → 118

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
5.0ms	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3)))
4.0ms	(pow.f64 (exp.f64 re) 3)
3.0ms	(pow.f64 (cos.f64 im) 3)

series266.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
67.0ms	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3)))
41.0ms	(pow.f64 (cos.f64 im) 3)
35.0ms	(pow.f64 (exp.f64 re) 3)

simplify95.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4926	1636
1	4926	1636

prune113.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0b

Counts

133 → 3

Compiler

Compiled 1811 to 1100 computations (39.3% saved)

regimes44.0ms (1.6%)

Compiler: Compiled 137 to 145 computations (-5.8% 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 (45%)

Algorithm

1×

intervals

Results

374.0ms	1334×	body	1024	valid
242.0ms	5655×	body	128	valid
124.0ms	638×	body	1024	invalid
96.0ms	688×	body	512	valid
39.0ms	315×	body	512	invalid
28.0ms	320×	body	256	valid
15.0ms	173×	body	256	invalid
9.0ms	176×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 34 to 36 computations (-5.9% saved)

Details

analyze137.0ms (5.1%)

sample37.0ms (1.4%)

simplify170.0ms (6.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series59.0ms (2.2%)

simplify53.0ms (2%)

prune22.0ms (0.8%)

localize8.0ms (0.3%)

rewrite17.0ms (0.6%)

series239.0ms (8.9%)

simplify116.0ms (4.3%)

prune49.0ms (1.8%)

localize9.0ms (0.3%)

rewrite31.0ms (1.2%)

series266.0ms (9.9%)

simplify95.0ms (3.5%)

prune113.0ms (4.2%)

regimes44.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (45%)

Profiling