Details

analyze141.0ms (6.7%)

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)

sample34.0ms (1.6%)

Algorithm

1×

intervals

Results

11.0ms	47×	body	1024	valid
7.0ms	184×	body	128	valid
3.0ms	21×	body	1024	invalid
2.0ms	16×	body	512	valid
1.0ms	9×	body	512	invalid
1.0ms	8×	body	256	valid
1.0ms	7×	body	256	invalid
0.0ms	1×	body	2048	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify94.0ms (4.5%)

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_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:

6.0ms

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

series39.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify89.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4923	219
1	4923	219

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

Merged error: 0b

Counts

22 → 2

Compiler

Compiled 208 to 60 computations (71.2% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1503`
10×	`add-sqr-sqrt_binary64_1464`
9×	`pow1/3_binary64_1524`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`cbrt-prod_binary64_1473`
6×	`add-exp-log_binary64_1480`
4×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

series375.0ms (17.8%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (cos.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
89.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
79.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
79.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

simplify77.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4886	765
1	4886	765

prune52.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Merged error: 0b

Counts

72 → 2

Compiler

Compiled 1455 to 246 computations (83.1% saved)

regimes52.0ms (2.5%)

Compiler: Compiled 292 to 185 computations (36.6% 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 (51.8%)

Algorithm

1×

intervals

Results

287.0ms	1290×	body	1024	valid
228.0ms	5657×	body	128	valid
113.0ms	661×	body	1024	invalid
84.0ms	696×	body	512	valid
38.0ms	334×	body	512	invalid
32.0ms	353×	body	256	valid
12.0ms	151×	body	256	invalid
9.0ms	184×	body	128	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 65 to 44 computations (32.3% saved)

Details

analyze141.0ms (6.7%)

sample34.0ms (1.6%)

simplify94.0ms (4.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series39.0ms (1.8%)

simplify89.0ms (4.3%)

prune12.0ms (0.6%)

localize8.0ms (0.4%)

rewrite22.0ms (1%)

series375.0ms (17.8%)

simplify77.0ms (3.7%)

prune52.0ms (2.5%)

regimes52.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (51.8%)

Profiling