Details

analyze552.0ms (7.5%)

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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample115.0ms (1.6%)

Algorithm

1×

intervals

Results

32.0ms	66×	body	1024	valid
21.0ms	65×	body	1024	invalid
17.0ms	152×	body	128	valid
8.0ms	34×	body	512	invalid
8.0ms	27×	body	512	valid
5.0ms	56×	body	128	invalid
3.0ms	16×	body	256	invalid
2.0ms	11×	body	256	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify301.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	5282	18

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `associate-r_binary64_700`
3×	`prod-exp_binary64_809` `add-cube-cbrt_binary64_795` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `add-sqr-sqrt_binary64_782`
2×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-*r/_binary64_702`
1×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `+-commutative_binary64_690` `sum-log_binary64_851` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

2 → 35

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series278.0ms (3.8%)

Counts

2 → 17

Calls

2 calls:

230.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
47.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 420 to 343 computations (18.3% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4904	928
1	4904	928

prune73.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	2	53

Error

Counts

53 → 2

Compiler

Compiled 824 to 334 computations (59.5% saved)

localize16.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.0b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_796`
9×	`add-exp-log_binary64_798`
8×	`pow1_binary64_821`
6×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
5×	`add-log-exp_binary64_799`
4×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
3×	`associate-/r_binary64_704` `associate-r*_binary64_700` `pow-prod-down_binary64_831` `times-frac_binary64_766`
2×	`cbrt-undiv_binary64_794` `div-inv_binary64_757` `div-exp_binary64_811`
1×	`frac-2neg_binary64_771` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l_binary64_705` `+-commutative_binary64_690` `sum-log_binary64_851` `associate-l_binary64_701` `clear-num_binary64_759` `-commutative_binary64_691`

Counts

3 → 51

Calls

6 calls:

17.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
13.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
11.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))

series761.0ms (10.3%)

Counts

3 → 33

Calls

3 calls:

408.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
217.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
136.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

Compiler

Compiled 994 to 725 computations (27.1% saved)

simplify115.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4975	1479
1	4975	1479

prune147.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Error

Counts

86 → 2

Compiler

Compiled 1583 to 781 computations (50.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	208
1	62	208

regimes136.0ms (1.8%)

Accuracy

Total 0.0b remaining (32.2%)

Threshold costs 0.0b (32.2%)

Compiler

Compiled 508 to 444 computations (12.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample4.7s (63.6%)

Algorithm

1×

intervals

Results

1.1s	2028×	body	1024	valid
748.0ms	1993×	body	1024	invalid
426.0ms	4467×	body	128	valid
308.0ms	1012×	body	512	valid
272.0ms	1004×	body	512	invalid
254.0ms	2513×	body	128	invalid
94.0ms	523×	body	256	invalid
91.0ms	487×	body	256	valid
7.0ms	6×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 382 to 329 computations (13.9% saved)

Pareto

0.547270266378513

Details

analyze552.0ms (7.5%)

sample115.0ms (1.6%)

simplify301.0ms (4.1%)

prune6.0ms (0.1%)

localize13.0ms (0.2%)

rewrite25.0ms (0.3%)

series278.0ms (3.8%)

simplify93.0ms (1.3%)

prune73.0ms (1%)

localize16.0ms (0.2%)

rewrite49.0ms (0.7%)

series761.0ms (10.3%)

simplify115.0ms (1.6%)

prune147.0ms (2%)

simplify8.0ms (0.1%)

regimes136.0ms (1.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample4.7s (63.6%)

Profiling