Details

analyze12.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
18.1%	0.6%	81.3%	7
18.1%	0.6%	81.3%	8
18.6%	0.1%	81.3%	9
18.6%	0.1%	81.3%	10
18.7%	0%	81.3%	11
18.7%	0%	81.3%	12
18.7%	0%	81.3%	13
18.7%	0%	81.3%	14

Compiler

Compiled 23 to 15 computations (34.8% saved)

sample26.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify260.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	4979	22
1	4979	22

prune2.0ms (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

Error

20.8b

Counts

2 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize9.0ms (0.3%)

Local error

Found 6 expressions with local error:

20.6b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
20.6b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite40.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_3756` `*-un-lft-identity_binary64_3734`
10×	`add-exp-log_binary64_3772` `add-cbrt-cube_binary64_3770`
8×	`flip-+_binary64_3708` `associate-/l/_binary64_3681` `flip3-+_binary64_3737` `frac-times_binary64_3744`
7×	`add-cube-cbrt_binary64_3769`
6×	`flip--_binary64_3709` `flip3--_binary64_3738`
5×	`pow1_binary64_3795` `add-log-exp_binary64_3773` `associate-l_binary64_3675`
4×	`associate-r/_binary64_3676` `associate-l/_binary64_3677` `associate-r_binary64_3674`
3×	`times-frac_binary64_3740` `associate-/r*_binary64_3678`
2×	`div-exp_binary64_3785` `cbrt-unprod_binary64_3767` `cbrt-undiv_binary64_3768` `prod-exp_binary64_3783` `associate-/r/_binary64_3680`
1×	`sum-log_binary64_3825` `associate-/l_binary64_3679` `pow-prod-down_binary64_3805` `distribute-lft-in_binary64_3683` `distribute-lft-out--_binary64_3686` `+-commutative_binary64_3664` `div-inv_binary64_3731` `clear-num_binary64_3733` `distribute-rgt-in_binary64_3684` `unswap-sqr_binary64_3702` `frac-2neg_binary64_3745` `-commutative_binary64_3665` `difference-of-squares_binary64_3703` `distribute-lft-out_binary64_3685`

Counts

3 → 73

Calls

6 calls:

14.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
14.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))
0.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
0.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

series332.0ms (11.9%)

Counts

3 → 42

Calls

3 calls:

144.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
102.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
86.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 789 to 645 computations (18.3% saved)

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5552	1932

prune100.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	4	116

Error

0.6b

Counts

116 → 4

Compiler

Compiled 2235 to 438 computations (80.4% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

0.6b

Counts

4 → 4

Compiler

Compiled 12 to 12 computations (0% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.6b

Counts

4 → 4

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

20.0b	(/.f64 (.f64 y y) (.f64 x x))
0.0b	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
0.0b	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
20.0b	(/.f64 (.f64 y y) (.f64 x x))

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64_3772` `add-cbrt-cube_binary64_3770`
13×	`cbrt-unprod_binary64_3767` `prod-exp_binary64_3783`
8×	`div-exp_binary64_3785` `cbrt-undiv_binary64_3768`
7×	`add-sqr-sqrt_binary64_3756`
5×	`associate-r_binary64_3674`
4×	`pow1_binary64_3795` `*-un-lft-identity_binary64_3734` `add-cube-cbrt_binary64_3769`
3×	`times-frac_binary64_3740` `associate-l_binary64_3675`
2×	`div-inv_binary64_3731` `add-log-exp_binary64_3773` `unswap-sqr_binary64_3702`
1×	`associate-/l_binary64_3679` `pow-prod-down_binary64_3805` `associate-/r_binary64_3678` `associate-r/_binary64_3676` `clear-num_binary64_3733` `frac-2neg_binary64_3745` `-commutative_binary64_3665`

Counts

2 → 51

Calls

4 calls:

9.0ms	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
6.0ms	(/.f64 (.f64 y y) (.f64 x x))
0.0ms	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
0.0ms	(/.f64 (.f64 y y) (.f64 x x))

series175.0ms (6.3%)

Counts

2 → 12

Calls

2 calls:

93.0ms	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
82.0ms	(/.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 264 to 264 computations (0% saved)

simplify65.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4977	723
1	4977	723

prune41.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	64	3	67

Error

0.5b

Counts

67 → 3

Compiler

Compiled 814 to 408 computations (49.9% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	185	361
1	185	361

regimes139.0ms (5%)

Accuracy

Total 4.9b remaining (92.6%)

Threshold costs 0b (0%)

Compiler

Compiled 763 to 440 computations (42.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 15 to 9 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	50
1	27	50

end0.0ms (0%)

sample1.5s (52.8%)

Algorithm

1×

intervals

Results

289.0ms	8000×	body	128	valid
165.0ms	8000×	pre	128	true

Compiler

Compiled 856 to 479 computations (44% saved)

Pareto

0.17568339930670518

Details

analyze12.0ms (0.4%)

sample26.0ms (0.9%)

simplify260.0ms (9.3%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite40.0ms (1.4%)

series332.0ms (11.9%)

simplify66.0ms (2.4%)

prune100.0ms (3.6%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune2.0ms (0.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune1.0ms (0.1%)

localize7.0ms (0.2%)

rewrite20.0ms (0.7%)

series175.0ms (6.3%)

simplify65.0ms (2.3%)

prune41.0ms (1.5%)

simplify7.0ms (0.2%)

regimes139.0ms (5%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (52.8%)

Profiling