Details

analyze222.0ms (11.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16
0	2	2
1	2	2

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)

sample32.0ms (1.6%)

Algorithm

1×

intervals

Results

7.0ms	33×	body	1024	valid
7.0ms	192×	body	128	valid
4.0ms	28×	body	1024	invalid
2.0ms	20×	body	512	valid
1.0ms	11×	body	256	valid
1.0ms	10×	body	512	invalid
1.0ms	8×	body	256	invalid
0.0ms	8×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify6.0ms (0.3%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series38.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify87.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4923	219
1	4923	219

prune14.0ms (0.7%)

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

Error

Counts

22 → 3

Compiler

Compiled 205 to 66 computations (67.8% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1464`
10×	`pow1_binary64_1503`
9×	`sqrt-prod_binary64_1458` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`sqrt-pow1_binary64_1460` `add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
6×	`associate-l_binary64_1383` `exp-prod_binary64_1494`
3×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `prod-exp_binary64_1491`
2×	`rem-sqrt-square_binary64_1455` `pow1/2_binary64_1522`
1×	`associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

3 → 53

Calls

3 calls:

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

series59.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))))
12.0ms	(sqrt.f64 (exp.f64 re))
12.0ms	(sqrt.f64 (exp.f64 re))

simplify83.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5000	526

prune35.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Error

Counts

65 → 3

Compiler

Compiled 766 to 197 computations (74.3% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.0b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.3b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1464`
6×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
5×	`add-cbrt-cube_binary64_1478`
4×	`add-exp-log_binary64_1480`
3×	`associate-r_binary64_1382` `log-prod_binary64_1528` `log-pow_binary64_1531` `associate-l_binary64_1383`
2×	`exp-prod_binary64_1494` `exp-to-pow_binary64_1504`
1×	`cbrt-unprod_binary64_1475` `rem-exp-log_binary64_1482` `rem-log-exp_binary64_1483` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

3 → 42

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
2.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

series153.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

76.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
48.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
29.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

simplify84.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4922	541
1	4922	541

prune28.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	51	3	54

Error

Counts

54 → 3

Compiler

Compiled 514 to 144 computations (72% saved)

regimes48.0ms (2.4%)

Accuracy

Total 0.0b remaining (43.6%)

Threshold costs 0.0b (43.6%)

Compiler

Compiled 197 to 160 computations (18.8% 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%)

sample1.1s (52.7%)

Algorithm

1×

intervals

Results

286.0ms	1316×	body	1024	valid
234.0ms	5729×	body	128	valid
89.0ms	610×	body	1024	invalid
72.0ms	624×	body	512	valid
36.0ms	338×	body	512	invalid
25.0ms	327×	body	256	valid
16.0ms	164×	body	256	invalid
9.0ms	195×	body	128	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 46 to 39 computations (15.2% saved)

Details

analyze222.0ms (11.1%)

sample32.0ms (1.6%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite6.0ms (0.3%)

series38.0ms (1.9%)

simplify87.0ms (4.3%)

prune14.0ms (0.7%)

localize6.0ms (0.3%)

rewrite17.0ms (0.8%)

series59.0ms (2.9%)

simplify83.0ms (4.2%)

prune35.0ms (1.8%)

localize7.0ms (0.4%)

rewrite11.0ms (0.5%)

series153.0ms (7.7%)

simplify84.0ms (4.2%)

prune28.0ms (1.4%)

regimes48.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (52.7%)

Profiling