Details

analyze2.3s (52.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample54.0ms (1.2%)

Algorithm

1×

intervals

Results

30.0ms	246×	body	80	valid
2.0ms	7×	body	320	invalid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	640	valid
1.0ms	3×	body	320	valid
1.0ms	7×	body	80	invalid
1.0ms	1×	body	1280	invalid
0.0ms	2×	body	160	invalid
0.0ms	2×	body	160	valid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4934	43
1	4934	43

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

Merged error: 16.7b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
0.0b	(*.f64 K (+.f64 m n))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
35.7b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite61.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-l_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
3×	`pow-unpow_binary64` `associate-*r/_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `exp-diff_binary64` `cos-diff_binary64` `exp-sum_binary64` `cos-sum_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 77

Calls

4 calls:

26.0ms	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
14.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
11.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
8.0ms	(*.f64 K (+.f64 m n))

series1.3s (28.6%)

Counts

4 → 12

Calls

4 calls:

952.0ms	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
149.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
108.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
50.0ms	(*.f64 K (+.f64 m n))

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5725	2036

prune159.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	8	90

Merged error: 2.0b

Counts

90 → 8

Compiler

Compiled 3343 to 1687 computations (49.5% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64`
5×	`*-un-lft-identity_binary64`
3×	`pow-unpow_binary64` `add-cube-cbrt_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `difference-of-squares_binary64`
1×	`pow-to-exp_binary64` `add-log-exp_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `insert-posit16` `pow-exp_binary64`

Counts

1 → 22

Calls

1 calls:

13.0ms

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

series109.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

109.0ms

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

simplify129.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4970	417
1	4970	417

prune43.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	24	9	33

Merged error: 2.0b

Counts

33 → 9

Compiler

Compiled 880 to 537 computations (39% saved)

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
22.2b	(posit16->binary64 (binary64->posit16 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `unpow-prod-down_binary64`
4×	`add-cube-cbrt_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `add-exp-log_binary64`
2×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `insert-posit16`
1×	`pow-to-exp_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `remove-posit16` `distribute-lft-out--_binary64` `times-frac_binary64` `pow-exp_binary64`

Counts

2 → 31

Calls

2 calls:

13.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
1.0ms	(posit16->binary64 (binary64->posit16 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))

Details

analyze2.3s (52.4%)

sample54.0ms (1.2%)

simplify85.0ms (1.9%)

prune6.0ms (0.1%)

localize28.0ms (0.6%)

rewrite61.0ms (1.4%)

series1.3s (28.6%)

simplify95.0ms (2.2%)

prune159.0ms (3.6%)

localize13.0ms (0.3%)

rewrite13.0ms (0.3%)

series109.0ms (2.5%)

simplify129.0ms (2.9%)

prune43.0ms (1%)

localize16.0ms (0.4%)

rewrite15.0ms (0.3%)

series8.0ms (0.2%)

Profiling