Details

analyze197.0ms (6.9%)

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)

sample64.0ms (2.2%)

Algorithm

1×

intervals

Results

24.0ms	40×	body	1024	valid
14.0ms	193×	body	128	valid
5.0ms	17×	body	1024	invalid
4.0ms	17×	body	512	valid
2.0ms	9×	body	512	invalid
1.0ms	6×	body	256	valid
1.0ms	6×	body	256	invalid
0.0ms	4×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify124.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1123`
3×	`-un-lft-identity_binary64_1101` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041` `associate-l*_binary64_1042`
2×	`add-exp-log_binary64_1139`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

1 → 18

Calls

1 calls:

11.0ms

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

series61.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify166.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4923	219
1	4923	219

prune23.0ms (0.8%)

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 196 to 60 computations (69.4% saved)

localize13.0ms (0.5%)

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

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_1123`
8×	`pow1_binary64_1162` `add-cbrt-cube_binary64_1137` `cbrt-prod_binary64_1132`
7×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
6×	`add-exp-log_binary64_1139`
3×	`add-log-exp_binary64_1140` `pow-unpow_binary64_1178` `associate-r_binary64_1041` `associate-l_binary64_1042`
2×	`pow-exp_binary64_1169` `cube-prod_binary64_1129` `cube-mult_binary64_1131` `rem-cube-cbrt_binary64_1124` `cbrt-unprod_binary64_1134` `unpow-prod-down_binary64_1180` `prod-exp_binary64_1150` `pow-pow_binary64_1173` `unpow3_binary64_1167` `pow-prod-down_binary64_1172` `sqr-pow_binary64_1073`
1×	`*-commutative_binary64_1032` `pow1/3_binary64_1183` `unswap-sqr_binary64_1069` `pow-to-exp_binary64_1170` `rem-cbrt-cube_binary64_1125`

Counts

3 → 57

Calls

3 calls:

10.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
4.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

series212.0ms (7.5%)

Counts

3 → 9

Calls

3 calls:

116.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
62.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
34.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

simplify90.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4940	728
1	4940	728

prune76.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	2	68

Merged error: 0b

Counts

68 → 2

Compiler

Compiled 737 to 283 computations (61.6% saved)

regimes75.0ms (2.6%)

Compiler: Compiled 87 to 95 computations (-9.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.7s (59.2%)

Algorithm

1×

intervals

Results

481.0ms	1296×	body	1024	valid
366.0ms	5678×	body	128	valid
171.0ms	661×	body	1024	invalid
149.0ms	683×	body	512	valid
55.0ms	310×	body	512	invalid
43.0ms	342×	body	256	valid
22.0ms	176×	body	256	invalid
13.0ms	182×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 24 to 26 computations (-8.3% saved)

Details

analyze197.0ms (6.9%)

sample64.0ms (2.2%)

simplify124.0ms (4.4%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite13.0ms (0.5%)

series61.0ms (2.1%)

simplify166.0ms (5.8%)

prune23.0ms (0.8%)

localize13.0ms (0.5%)

rewrite30.0ms (1%)

series212.0ms (7.5%)

simplify90.0ms (3.2%)

prune76.0ms (2.7%)

regimes75.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (59.2%)

Profiling