Details

analyze360.0ms (8.7%)

Algorithm

1×

Search

True	Other	False	Iter
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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample80.0ms (1.9%)

Algorithm

1×

intervals

Results

28.0ms	72×	body	1024	valid
16.0ms	69×	body	1024	invalid
8.0ms	142×	body	128	valid
7.0ms	41×	body	512	invalid
5.0ms	29×	body	512	valid
2.0ms	13×	body	256	valid
2.0ms	26×	body	128	invalid
1.0ms	13×	body	256	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify221.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5290	18

prune3.0ms (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 22 to 20 computations (9.1% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503` `*-un-lft-identity_binary64_1442`
4×	`associate-r_binary64_1382` `add-log-exp_binary64_1481`
3×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-sqr-sqrt_binary64_1464` `prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477`
2×	`associate-*r/_binary64_1384` `distribute-lft-out_binary64_1393` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `associate-l_binary64_1383` `*-commutative_binary64_1373` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series75.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
15.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4922	713
1	4922	713

prune36.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

Counts

42 → 3

Compiler

Compiled 685 to 274 computations (60% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.4b	(pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3)
0.6b	(cbrt.f64 (pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
11×	`*-un-lft-identity_binary64_1442`
8×	`cbrt-prod_binary64_1473`
7×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477`
6×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `prod-exp_binary64_1491` `associate-*l/_binary64_1385`
4×	`associate-l_binary64_1383` `flip3-+_binary64_1445` `flip-+_binary64_1416` `cube-div_binary64_1471`
3×	`pow-exp_binary64_1510` `pow-unpow_binary64_1519` `rem-cube-cbrt_binary64_1465` `pow-pow_binary64_1514`
2×	`cube-mult_binary64_1472` `cbrt-div_binary64_1474` `cube-prod_binary64_1470` `distribute-lft-out_binary64_1393` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `unpow-prod-down_binary64_1521`
1×	`associate-r_binary64_1382` `sum-log_binary64_1533` `+-commutative_binary64_1372` `*-commutative_binary64_1373` `pow1/3_binary64_1524` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466`

Counts

4 → 79

Calls

4 calls:

11.0ms	(pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3)
11.0ms	(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
4.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3))

series260.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3)
65.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3))
55.0ms	(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
15.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5080	1828

prune86.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1792 to 814 computations (54.6% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4)))))
0.0b	(+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4))))
0.1b	(*.f64 1/12 (pow.f64 im 4))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_1480`
12×	`add-sqr-sqrt_binary64_1464`
10×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481` `pow1_binary64_1503`
7×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`prod-exp_binary64_1491`
4×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `unpow-prod-down_binary64_1521`
3×	`sum-log_binary64_1533` `pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `-commutative_binary64_1373` `sqr-pow_binary64_1414` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`pow-exp_binary64_1510` `+-commutative_binary64_1372` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `associate-+r+_binary64_1374` `pow-to-exp_binary64_1511`

Counts

3 → 60

Calls

3 calls:

12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4)))))
6.0ms	(+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4))))
6.0ms	(*.f64 1/12 (pow.f64 im 4))

series152.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

109.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4)))))
23.0ms	(*.f64 1/12 (pow.f64 im 4))
20.0ms	(+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4))))

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4999	1255
1	4999	1255

prune79.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Error

Counts

72 → 3

Compiler

Compiled 1507 to 1001 computations (33.6% saved)

regimes91.0ms (2.2%)

Accuracy

Total 0.0b remaining (58.5%)

Threshold costs 0.0b (58.5%)

Compiler

Compiled 686 to 518 computations (24.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.4s (57.9%)

Algorithm

1×

intervals

Results

728.0ms	2045×	body	1024	valid
457.0ms	1958×	body	1024	invalid
272.0ms	4535×	body	128	valid
178.0ms	956×	body	512	valid
162.0ms	995×	body	512	invalid
59.0ms	521×	body	256	invalid
54.0ms	460×	body	256	valid
45.0ms	706×	body	128	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 129 to 100 computations (22.5% saved)

Details

analyze360.0ms (8.7%)

sample80.0ms (1.9%)

simplify221.0ms (5.3%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite19.0ms (0.5%)

series75.0ms (1.8%)

simplify75.0ms (1.8%)

prune36.0ms (0.9%)

localize12.0ms (0.3%)

rewrite37.0ms (0.9%)

series260.0ms (6.3%)

simplify67.0ms (1.6%)

prune86.0ms (2.1%)

localize11.0ms (0.3%)

rewrite29.0ms (0.7%)

series152.0ms (3.7%)

simplify41.0ms (1%)

prune79.0ms (1.9%)

regimes91.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.4s (57.9%)

Profiling