Details

analyze325.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	699	52
1	699	52
0	3	3
1	3	3

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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

sample187.0ms (2.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	41×	body	128	invalid

Compiler

Compiled 2989 to 3883 computations (-29.9% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	321	13
1	321	13

prune3.0ms (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 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x y) 2)
0.0b	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_6920`
13×	`*-un-lft-identity_binary64_6898` `times-frac_binary64_6904` `cancel-sign-sub-inv_binary64_6864`
11×	`add-cube-cbrt_binary64_6933`
7×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
4×	`add-log-exp_binary64_6937`
3×	`associate-/r*_binary64_6842`
2×	`pow1_binary64_6959` `difference-of-squares_binary64_6867` `div-inv_binary64_6895` `div-exp_binary64_6949` `cbrt-undiv_binary64_6932`
1×	`diff-log_binary64_6990` `frac-sub_binary64_6907` `flip3--_binary64_6902` `sub-neg_binary64_6891` `flip--_binary64_6873` `distribute-lft-out--_binary64_6850` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `frac-2neg_binary64_6909` `clear-num_binary64_6897` `associate-/l*_binary64_6843`

Counts

2 → 49

Calls

2 calls:

12.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
4.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 820 to 532 computations (35.1% saved)

series490.0ms (6.9%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

410.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
67.0ms	(/.f64 (*.f64 x y) 2)

Compiler

Compiled 479 to 417 computations (12.9% saved)

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4975	780
1	4975	780

prune58.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

0.0b

Counts

74 → 2

Compiler

Compiled 814 to 502 computations (38.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
0.2b	(/.f64 x (/.f64 2 y))

rewrite160.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

95×	`times-frac_binary64_6904`
72×	`add-sqr-sqrt_binary64_6920`
57×	`*-un-lft-identity_binary64_6898`
51×	`add-cube-cbrt_binary64_6933`
13×	`associate-/r*_binary64_6842` `cancel-sign-sub-inv_binary64_6864`
7×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
6×	`div-inv_binary64_6895` `difference-of-squares_binary64_6867`
4×	`add-log-exp_binary64_6937`
3×	`div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `associate-/l*_binary64_6843`
2×	`pow1_binary64_6959` `distribute-lft-out--_binary64_6850`
1×	`frac-2neg_binary64_6909` `clear-num_binary64_6897` `associate-/r/_binary64_6844` `diff-log_binary64_6990` `frac-sub_binary64_6907` `flip3--_binary64_6902` `sub-neg_binary64_6891` `flip--_binary64_6873`

Counts

2 → 103

Calls

2 calls:

34.0ms	(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
6.0ms	(/.f64 x (/.f64 2 y))

Compiler

Compiled 1936 to 1275 computations (34.1% saved)

series313.0ms (4.4%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

218.0ms	(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
82.0ms	(/.f64 x (/.f64 2 y))

Compiler

Compiled 479 to 417 computations (12.9% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4892	1947
1	4892	1947

prune112.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

0.0b

Counts

129 → 2

Compiler

Compiled 1849 to 1124 computations (39.2% saved)

regimes132.0ms (1.9%)

Accuracy

Total 0.0b remaining (69.4%)

Threshold costs 0.0b (69.4%)

Compiler

Compiled 746 to 731 computations (2% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

Remove

(sort x y)

Compiler

Compiled 18 to 18 computations (0% saved)

end0.0ms (0%)

sample5.1s (71.2%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
38.0ms	1072×	body	128	invalid

Compiler

Compiled 90839 to 118053 computations (-30% saved)

Details

analyze325.0ms (4.6%)

sample187.0ms (2.6%)

simplify20.0ms (0.3%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite72.0ms (1%)

series490.0ms (6.9%)

simplify79.0ms (1.1%)

prune58.0ms (0.8%)

localize7.0ms (0.1%)

rewrite160.0ms (2.3%)

series313.0ms (4.4%)

simplify75.0ms (1.1%)

prune112.0ms (1.6%)

regimes132.0ms (1.9%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample5.1s (71.2%)

Profiling