Details

analyze351.0ms (7.1%)

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample76.0ms (1.5%)

Algorithm

1×

intervals

Results

22.0ms	53×	body	1024	valid
16.0ms	63×	body	1024	invalid
9.0ms	156×	body	128	valid
7.0ms	34×	body	512	valid
5.0ms	32×	body	512	invalid
2.0ms	29×	body	128	invalid
2.0ms	13×	body	256	valid
2.0ms	13×	body	256	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify266.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4881	18
1	4881	18

prune2.0ms (0%)

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 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `*-un-lft-identity_binary64_751` `add-exp-log_binary64_786`
4×	`add-log-exp_binary64_787` `associate-r_binary64_693`
3×	`prod-exp_binary64_797` `add-cube-cbrt_binary64_783` `pow-prod-down_binary64_819` `cbrt-unprod_binary64_781` `add-sqr-sqrt_binary64_772`
2×	`distribute-lft-out_binary64_704` `flip3-+_binary64_754` `associate-*r/_binary64_695` `flip-+_binary64_725`
1×	`+-commutative_binary64_683` `distribute-lft-in_binary64_702` `-commutative_binary64_684` `sum-log_binary64_839` `associate-l*_binary64_694` `distribute-rgt-in_binary64_703`

Counts

2 → 35

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series148.0ms (3%)

Counts

2 → 6

Calls

2 calls:

120.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
28.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4994	713
1	4994	713

prune34.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0.0b

Counts

42 → 3

Compiler

Compiled 693 to 275 computations (60.3% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) -2)
0.1b	(pow.f64 (exp.f64 im) 3)
0.1b	(pow.f64 (exp.f64 im) -3)
4.6b	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
14×	`add-cube-cbrt_binary64_783`
12×	`pow-pow_binary64_820`
10×	`unpow-prod-down_binary64_827`
9×	`exp-prod_binary64_800` `pow-unpow_binary64_825`
7×	`pow1_binary64_809`
6×	`add-log-exp_binary64_787`
5×	`add-cbrt-cube_binary64_784`
4×	`sqr-pow_binary64_723` `difference-of-sqr--1_binary64_722` `add-exp-log_binary64_786`
3×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `cube-prod_binary64_776`
1×	`cube-mult_binary64_778` `distribute-lft-out_binary64_704` `+-commutative_binary64_683` `unpow2_binary64_813` `flip3-+_binary64_754` `rem-cube-cbrt_binary64_773` `sum-log_binary64_839` `unpow3_binary64_814` `flip-+_binary64_725`

Counts

4 → 82

Calls

4 calls:

6.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)
4.0ms	(pow.f64 (exp.f64 im) 3)
4.0ms	(pow.f64 (exp.f64 im) -3)
4.0ms	(pow.f64 (exp.f64 im) -2)

series202.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(pow.f64 (exp.f64 im) -3)
55.0ms	(pow.f64 (exp.f64 im) -2)
38.0ms	(pow.f64 (exp.f64 im) 3)
34.0ms	(+.f64 (pow.f64 (exp.f64 im) 2) -1)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5039	821

prune141.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0.0b

Counts

97 → 3

Compiler

Compiled 2776 to 1741 computations (37.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.1b	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re))
0.4b	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re)))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_751`
14×	`unpow-prod-down_binary64_827`
12×	`add-cube-cbrt_binary64_783` `add-sqr-sqrt_binary64_772`
11×	`log-prod_binary64_834`
9×	`add-log-exp_binary64_787`
8×	`exp-prod_binary64_800` `sqrt-prod_binary64_766`
7×	`pow-pow_binary64_820` `add-exp-log_binary64_786`
6×	`pow1_binary64_809`
5×	`sqrt-pow1_binary64_768`
4×	`add-cbrt-cube_binary64_784`
3×	`distribute-lft-out_binary64_704` `rem-log-exp_binary64_789` `exp-sum_binary64_794` `pow-unpow_binary64_825`
2×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `sqr-pow_binary64_723` `sum-log_binary64_839` `rem-exp-log_binary64_788`
1×	`+-commutative_binary64_683` `flip3-+_binary64_754` `pow1/2_binary64_828` `log-pow_binary64_837` `sqrt-pow2_binary64_769` `flip-+_binary64_725`

Counts

4 → 76

Calls

4 calls:

9.0ms	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re))
9.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re)))
8.0ms	(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series634.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

307.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re)))
244.0ms	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re))
59.0ms	(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
24.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify103.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4878	1865
1	4878	1865

prune67.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

Compiler

Compiled 1592 to 334 computations (79% saved)

regimes66.0ms (1.3%)

Compiler: Compiled 344 to 302 computations (12.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.6s (52.2%)

Algorithm

1×

intervals

Results

839.0ms	2017×	body	1024	valid
519.0ms	1922×	body	1024	invalid
257.0ms	4426×	body	128	valid
212.0ms	1013×	body	512	valid
171.0ms	974×	body	512	invalid
70.0ms	537×	body	256	valid
62.0ms	504×	body	256	invalid
46.0ms	695×	body	128	invalid
6.0ms	7×	body	2048	valid

Compiler

Compiled 72 to 64 computations (11.1% saved)

Details

analyze351.0ms (7.1%)

sample76.0ms (1.5%)

simplify266.0ms (5.4%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite19.0ms (0.4%)

series148.0ms (3%)

simplify71.0ms (1.4%)

prune34.0ms (0.7%)

localize20.0ms (0.4%)

rewrite25.0ms (0.5%)

series202.0ms (4.1%)

simplify62.0ms (1.3%)

prune141.0ms (2.9%)

localize16.0ms (0.3%)

rewrite41.0ms (0.8%)

series634.0ms (12.9%)

simplify103.0ms (2.1%)

prune67.0ms (1.4%)

regimes66.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (52.2%)

Profiling