Details

analyze289.0ms (6.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14
97.6%	2.3%	0.1%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample79.0ms (1.8%)

Algorithm

2×

intervals

Results

14.0ms

512×

body

128

valid

Compiler

Compiled 2071 to 2069 computations (0.1% saved)

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite56.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64_23266`
22×	`add-sqr-sqrt_binary64_23288`
20×	`times-frac_binary64_23272`
12×	`add-cube-cbrt_binary64_23301`
6×	`distribute-lft-out_binary64_23217`
5×	`difference-of-squares_binary64_23235` `distribute-lft-out--_binary64_23218` `associate-/l*_binary64_23211`
4×	`associate-/r*_binary64_23210`
3×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
2×	`associate-/l/_binary64_23213` `associate-/r/_binary64_23212`
1×	`pow1_binary64_23327` `div-exp_binary64_23317` `add-log-exp_binary64_23305` `cbrt-undiv_binary64_23300` `frac-2neg_binary64_23277` `div-sub_binary64_23271` `clear-num_binary64_23265` `div-inv_binary64_23263` `flip3--_binary64_23270` `flip--_binary64_23241` `flip3-+_binary64_23269` `flip-+_binary64_23240`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

Compiler

Compiled 725 to 165 computations (77.2% saved)

series109.0ms (2.5%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

94.0ms

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

Compiler

Compiled 411 to 349 computations (15.1% saved)

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6199	1014

prune50.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Error

Counts

65 → 4

Compiler

Compiled 851 to 244 computations (71.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite135.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

77×	`*-un-lft-identity_binary64_23266`
52×	`times-frac_binary64_23272`
43×	`add-sqr-sqrt_binary64_23288`
31×	`add-cube-cbrt_binary64_23301`
18×	`cancel-sign-sub-inv_binary64_23232`
15×	`distribute-lft-out_binary64_23217`
10×	`associate-/r/_binary64_23212`
8×	`associate-/r*_binary64_23210`
7×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `distribute-lft-out--_binary64_23218`
6×	`associate-/l*_binary64_23211`
5×	`add-log-exp_binary64_23305` `div-inv_binary64_23263` `flip3-+_binary64_23269` `flip-+_binary64_23240`
4×	`difference-of-squares_binary64_23235`
3×	`pow1_binary64_23327` `distribute-rgt-out--_binary64_23220`
2×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `frac-2neg_binary64_23277` `clear-num_binary64_23265`
1×	`diff-log_binary64_23358` `frac-sub_binary64_23275` `sub-div_binary64_23273` `flip3--_binary64_23270` `sub-neg_binary64_23259` `flip--_binary64_23241`

Counts

3 → 111

Calls

3 calls:

26.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 x (+.f64 x y))
5.0ms	(/.f64 y (+.f64 x y))

Compiler

Compiled 2172 to 456 computations (79% saved)

series315.0ms (7.3%)

Error

Counts

3 → 48

Calls

3 calls:

120.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
88.0ms	(/.f64 y (+.f64 x y))
74.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1470 to 978 computations (33.5% saved)

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5125	2144

prune113.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	159	4	163

Error

Counts

163 → 4

Compiler

Compiled 2433 to 539 computations (77.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2 (/.f64 y x))
0.1b	(.f64 (/.f64 y x) (-.f64 (.f64 2 (/.f64 y x)) 2))

rewrite116.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_23288`
20×	`add-cube-cbrt_binary64_23301` `*-un-lft-identity_binary64_23266` `times-frac_binary64_23272`
16×	`associate-l_binary64_23207` `associate-r_binary64_23206`
12×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
6×	`pow1_binary64_23327` `cancel-sign-sub-inv_binary64_23232`
4×	`prod-exp_binary64_23315` `cbrt-unprod_binary64_23299` `unswap-sqr_binary64_23234` `distribute-rgt-in_binary64_23216` `distribute-lft-in_binary64_23215`
3×	`associate-*r/_binary64_23208`
2×	`pow-prod-down_binary64_23337` `div-exp_binary64_23317` `add-log-exp_binary64_23305` `cbrt-undiv_binary64_23300` `flip3--_binary64_23270` `frac-times_binary64_23276` `flip--_binary64_23241` `sub-neg_binary64_23259` `div-inv_binary64_23263` `*-commutative_binary64_23197`
1×	`associate-*l/_binary64_23209`

Counts

2 → 76

Calls

2 calls:

12.0ms	(.f64 (/.f64 y x) (-.f64 (.f64 2 (/.f64 y x)) 2))
7.0ms	(*.f64 2 (/.f64 y x))

Compiler

Compiled 1652 to 902 computations (45.4% saved)

series323.0ms (7.5%)

Error

Counts

2 → 18

Calls

2 calls:

226.0ms	(.f64 (/.f64 y x) (-.f64 (.f64 2 (/.f64 y x)) 2))
84.0ms	(*.f64 2 (/.f64 y x))

Compiler

Compiled 648 to 510 computations (21.3% saved)

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4933	1417
1	4933	1417

prune93.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	94	4	98

Error

Counts

98 → 4

Compiler

Compiled 1706 to 923 computations (45.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x y))
0.0b	(sqrt.f64 (-.f64 x y))
0.0b	(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
0.3b	(/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))

rewrite573.0ms (13.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

624×	`times-frac_binary64_23272`
582×	`*-un-lft-identity_binary64_23266`
422×	`add-sqr-sqrt_binary64_23288`
410×	`sqrt-prod_binary64_23282`
256×	`add-cube-cbrt_binary64_23301`
82×	`difference-of-squares_binary64_23235` `distribute-lft-out--_binary64_23218`
81×	`distribute-lft-out_binary64_23217`
46×	`associate-/r*_binary64_23210`
26×	`sqrt-div_binary64_23283`
21×	`associate-/r/_binary64_23212`
13×	`flip3--_binary64_23270` `flip--_binary64_23241`
12×	`associate-/l*_binary64_23211`
11×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `div-inv_binary64_23263`
6×	`pow1_binary64_23327`
4×	`div-exp_binary64_23317` `add-log-exp_binary64_23305` `cbrt-undiv_binary64_23300` `associate-/l/_binary64_23213`
2×	`frac-2neg_binary64_23277` `clear-num_binary64_23265` `pow1/2_binary64_23346` `sqrt-pow1_binary64_23284` `rem-sqrt-square_binary64_23279`
1×	`flip3-+_binary64_23269` `flip-+_binary64_23240`

Counts

4 → 461

Calls

4 calls:

24.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
9.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))
3.0ms	(sqrt.f64 (-.f64 x y))
3.0ms	(sqrt.f64 (-.f64 x y))

Compiler

Compiled 13258 to 1977 computations (85.1% saved)

series309.0ms (7.2%)

Error

Counts

4 → 39

Calls

4 calls:

90.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
88.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))
52.0ms	(sqrt.f64 (-.f64 x y))
50.0ms	(sqrt.f64 (-.f64 x y))

Compiler

Compiled 1400 to 945 computations (32.5% saved)

simplify204.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

500 → 500

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4941	14832
1	4941	14832

prune421.0ms (9.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	500	0	500
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	500	4	504

Error

Counts

504 → 4

Compiler

Compiled 11190 to 1310 computations (88.3% saved)

regimes107.0ms (2.5%)

Accuracy

Total 0.0b remaining (95.5%)

Threshold costs 0.0b (95.5%)

Compiler

Compiled 894 to 519 computations (41.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample716.0ms (16.6%)

Algorithm

1×

intervals

Results

192.0ms

8000×

body

128

valid

Compiler

Compiled 320 to 188 computations (41.3% saved)

Details

analyze289.0ms (6.7%)

sample79.0ms (1.8%)

simplify66.0ms (1.5%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite56.0ms (1.3%)

series109.0ms (2.5%)

simplify68.0ms (1.6%)

prune50.0ms (1.2%)

localize9.0ms (0.2%)

rewrite135.0ms (3.1%)

series315.0ms (7.3%)

simplify70.0ms (1.6%)

prune113.0ms (2.6%)

localize7.0ms (0.2%)

rewrite116.0ms (2.7%)

series323.0ms (7.5%)

simplify70.0ms (1.6%)

prune93.0ms (2.2%)

localize7.0ms (0.2%)

rewrite573.0ms (13.3%)

series309.0ms (7.2%)

simplify204.0ms (4.7%)

prune421.0ms (9.8%)

regimes107.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample716.0ms (16.6%)

Profiling