Details

analyze76.0ms (3.5%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify232.0ms (10.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	690	10
1	690	10

prune4.0ms (0.2%)

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 14 to 12 computations (14.3% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite26.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64_7239` `add-sqr-sqrt_binary64_7261`
30×	`times-frac_binary64_7245`
19×	`difference-of-squares_binary64_7208`
14×	`add-cube-cbrt_binary64_7274`
13×	`distribute-lft-out--_binary64_7191`
6×	`associate-/r*_binary64_7183`
5×	`associate-/l*_binary64_7184`
3×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275`
2×	`flip3--_binary64_7243` `flip--_binary64_7214` `associate-/l/_binary64_7186` `associate-/r/_binary64_7185`
1×	`add-log-exp_binary64_7278` `frac-2neg_binary64_7250` `div-inv_binary64_7236` `cbrt-undiv_binary64_7273` `div-exp_binary64_7290` `div-sub_binary64_7244` `pow1_binary64_7300` `clear-num_binary64_7238`

Counts

1 → 58

Calls

1 calls:

17.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

series48.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

48.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

simplify182.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4842	1144
1	4842	1144

prune90.0ms (4.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

Compiler

Compiled 941 to 462 computations (50.9% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (-.f64 1 y))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_7239` `add-sqr-sqrt_binary64_7261`
18×	`times-frac_binary64_7245`
12×	`add-cube-cbrt_binary64_7274`
8×	`difference-of-squares_binary64_7208`
6×	`associate-/r*_binary64_7183`
4×	`distribute-lft-out--_binary64_7191`
3×	`add-exp-log_binary64_7277` `associate-/l*_binary64_7184` `add-cbrt-cube_binary64_7275`
2×	`associate-/r/_binary64_7185`
1×	`flip3--_binary64_7243` `add-log-exp_binary64_7278` `flip--_binary64_7214` `frac-2neg_binary64_7250` `div-inv_binary64_7236` `cbrt-undiv_binary64_7273` `div-exp_binary64_7290` `pow1_binary64_7300` `clear-num_binary64_7238`

Counts

1 → 41

Calls

1 calls:

12.0ms

(/.f64 x (-.f64 1 y))

series49.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

49.0ms

(/.f64 x (-.f64 1 y))

simplify107.0ms (5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4933	629
1	4933	629

prune66.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Merged error: 0b

Counts

46 → 2

Compiler

Compiled 795 to 497 computations (37.5% saved)

localize16.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x y))
0.1b	(.f64 y (+.f64 x (.f64 x y)))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_7261`
4×	`add-exp-log_binary64_7277` `add-log-exp_binary64_7278` `*-un-lft-identity_binary64_7239` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `add-cube-cbrt_binary64_7274`
3×	`associate-r_binary64_7179` `associate-l_binary64_7180`
2×	`flip-+_binary64_7213` `associate-*r/_binary64_7181` `flip3-+_binary64_7242`
1×	`distribute-lft-in_binary64_7188` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `distribute-rgt-in_binary64_7189` `unswap-sqr_binary64_7207` `*-commutative_binary64_7170` `prod-exp_binary64_7288` `+-commutative_binary64_7169` `sum-log_binary64_7330`

Counts

2 → 33

Calls

2 calls:

9.0ms	(.f64 y (+.f64 x (.f64 x y)))
5.0ms	(+.f64 x (*.f64 x y))

series74.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(.f64 y (+.f64 x (.f64 x y)))
33.0ms	(+.f64 x (*.f64 x y))

simplify134.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4839	464
1	4839	464

prune57.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

41 → 2

Compiler

Compiled 774 to 295 computations (61.9% saved)

regimes98.0ms (4.5%)

Compiler: Compiled 308 to 229 computations (25.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample817.0ms (37.9%)

Algorithm

1×

intervals

Results

345.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 100 to 76 computations (24% saved)

Details

analyze76.0ms (3.5%)

sample21.0ms (1%)

simplify232.0ms (10.7%)

prune4.0ms (0.2%)

localize10.0ms (0.4%)

rewrite26.0ms (1.2%)

series48.0ms (2.2%)

simplify182.0ms (8.4%)

prune90.0ms (4.2%)

localize11.0ms (0.5%)

rewrite18.0ms (0.8%)

series49.0ms (2.3%)

simplify107.0ms (5%)

prune66.0ms (3.1%)

localize16.0ms (0.7%)

rewrite19.0ms (0.9%)

series74.0ms (3.4%)

simplify134.0ms (6.2%)

prune57.0ms (2.6%)

regimes98.0ms (4.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample817.0ms (37.9%)

Profiling