Details

analyze226.0ms (9.5%)

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)

sample35.0ms (1.5%)

Algorithm

1×

intervals

Results

9.0ms	43×	body	1024	valid
7.0ms	186×	body	128	valid
3.0ms	19×	body	1024	invalid
2.0ms	18×	body	512	valid
1.0ms	13×	body	512	invalid
1.0ms	9×	body	256	valid
0.0ms	5×	body	256	invalid
0.0ms	8×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify7.0ms (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))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_1464`
3×	`pow1_binary64_1503` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `associate-l_binary64_1383` `associate-r*_binary64_1382`
2×	`add-exp-log_binary64_1480`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

Compiler

Compiled 192 to 54 computations (71.9% saved)

series76.0ms (3.2%)

Error

Counts

1 → 12

Calls

1 calls:

68.0ms

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

Compiler

Compiled 284 to 186 computations (34.5% saved)

simplify88.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4907	351
1	4907	351

prune21.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Compiler

Compiled 282 to 104 computations (63.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cos.f64 im) (exp.f64 re))
0.0b	(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
0.2b	(log.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))))

rewrite35.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

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×	`log-pow_binary64_1531` `log-prod_binary64_1528` `associate-l_binary64_1383` `associate-r_binary64_1382`
2×	`exp-to-pow_binary64_1504` `exp-prod_binary64_1494`
1×	`rem-log-exp_binary64_1483` `rem-exp-log_binary64_1482` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

3 → 42

Calls

3 calls:

6.0ms	(*.f64 (cos.f64 im) (exp.f64 re))
2.0ms	(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
2.0ms	(log.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))))

Compiler

Compiled 530 to 139 computations (73.8% saved)

series418.0ms (17.6%)

Error

Counts

3 → 36

Calls

3 calls:

216.0ms	(log.f64 (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
108.0ms	(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
66.0ms	(*.f64 (cos.f64 im) (exp.f64 re))

Compiler

Compiled 1356 to 827 computations (39% saved)

simplify106.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4987	1155
1	4987	1155

prune46.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	78	2	80

Error

Counts

80 → 2

Compiler

Compiled 936 to 358 computations (61.8% saved)

regimes62.0ms (2.6%)

Accuracy

Total 0.0b remaining (44.7%)

Threshold costs 0.0b (44.7%)

Compiler

Compiled 262 to 240 computations (8.4% 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 (51.2%)

Algorithm

1×

intervals

Results

290.0ms	1316×	body	1024	valid
237.0ms	5704×	body	128	valid
103.0ms	640×	body	1024	invalid
87.0ms	657×	body	512	valid
39.0ms	316×	body	512	invalid
25.0ms	320×	body	256	valid
13.0ms	174×	body	256	invalid
9.0ms	194×	body	128	invalid
1.0ms	3×	body	2048	valid

Compiler

Compiled 59 to 55 computations (6.8% saved)

Details

analyze226.0ms (9.5%)

sample35.0ms (1.5%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite20.0ms (0.9%)

series76.0ms (3.2%)

simplify88.0ms (3.7%)

prune21.0ms (0.9%)

localize7.0ms (0.3%)

rewrite35.0ms (1.5%)

series418.0ms (17.6%)

simplify106.0ms (4.5%)

prune46.0ms (1.9%)

regimes62.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (51.2%)

Profiling