Details

analyze180.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	20
1	70	20
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample208.0ms (6.7%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite38.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`*-un-lft-identity_binary64_16446`
8×	`pow1_binary64_16507`
7×	`add-sqr-sqrt_binary64_16468`
6×	`flip3-+_binary64_16449` `flip-+_binary64_16420` `swap-sqr_binary64_16413` `distribute-lft-out_binary64_16397`
5×	`add-cube-cbrt_binary64_16481`
4×	`frac-times_binary64_16456` `associate-l_binary64_16387` `associate-r_binary64_16386`
3×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
2×	`associate-l/_binary64_16389` `associate-r/_binary64_16388`
1×	`pow2_binary64_16527` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516` `pow-plus_binary64_16509` `prod-exp_binary64_16495` `add-log-exp_binary64_16485` `cbrt-unprod_binary64_16479` `pow-sqr_binary64_16419` `unswap-sqr_binary64_16414` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `*-commutative_binary64_16377`

Counts

1 → 40

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 610 to 146 computations (76.1% saved)

series101.0ms (3.2%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

89.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 378 to 297 computations (21.4% saved)

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4976	634
1	4976	634

prune38.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Error

0.0b

Counts

59 → 5

Compiler

Compiled 637 to 244 computations (61.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite69.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`associate-*r/_binary64_16388`
11×	`add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
8×	`associate-r_binary64_16386`
7×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `add-cube-cbrt_binary64_16481` `flip3-+_binary64_16449` `flip-+_binary64_16420`
6×	`associate-l_binary64_16387`
5×	`add-log-exp_binary64_16485`
4×	`distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `frac-add_binary64_16454`
2×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `unswap-sqr_binary64_16414` `distribute-lft-out_binary64_16397` `*-commutative_binary64_16377` `associate-+l+_binary64_16379` `associate-+r+_binary64_16378`
1×	`sum-log_binary64_16537` `distribute-rgt-out_binary64_16399` `+-commutative_binary64_16376`

Counts

3 → 66

Calls

3 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y x)) (.f64 y (+.f64 y x)))
6.0ms	(*.f64 y (+.f64 y x))
6.0ms	(*.f64 x (+.f64 y x))

Compiler

Compiled 1299 to 263 computations (79.8% saved)

series305.0ms (9.8%)

Error

Counts

3 → 42

Calls

3 calls:

150.0ms	(+.f64 (.f64 x (+.f64 y x)) (.f64 y (+.f64 y x)))
65.0ms	(*.f64 x (+.f64 y x))
64.0ms	(*.f64 y (+.f64 y x))

Compiler

Compiled 1062 to 662 computations (37.7% saved)

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4736	1110
1	4736	1110

prune60.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	108	5	113

Error

0.0b

Counts

113 → 5

Compiler

Compiled 1469 to 335 computations (77.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite63.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_16485`
7×	`add-sqr-sqrt_binary64_16468` `flip3-+_binary64_16449` `*-un-lft-identity_binary64_16446` `flip-+_binary64_16420`
6×	`associate-*r/_binary64_16388`
5×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `add-cube-cbrt_binary64_16481`
4×	`sum-log_binary64_16537` `associate-r_binary64_16386` `frac-add_binary64_16454`
3×	`distribute-rgt-out_binary64_16399` `associate-l_binary64_16387`
2×	`+-commutative_binary64_16376` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `associate-+l+_binary64_16379`
1×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `unswap-sqr_binary64_16414` `distribute-lft-out_binary64_16397` `*-commutative_binary64_16377` `associate-+r+_binary64_16378`

Counts

3 → 55

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 y x)) (+.f64 (.f64 y y) (*.f64 x y)))
6.0ms	(*.f64 x (+.f64 y x))
4.0ms	(+.f64 (.f64 y y) (.f64 x y))

Compiler

Compiled 1343 to 230 computations (82.9% saved)

series312.0ms (10%)

Error

Counts

3 → 42

Calls

3 calls:

150.0ms	(+.f64 (.f64 x (+.f64 y x)) (+.f64 (.f64 y y) (*.f64 x y)))
75.0ms	(+.f64 (.f64 y y) (.f64 x y))
63.0ms	(*.f64 x (+.f64 y x))

Compiler

Compiled 1122 to 666 computations (40.6% saved)

simplify95.0ms (3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4916	1175
1	4916	1175

prune58.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Error

Counts

102 → 5

Compiler

Compiled 1468 to 354 computations (75.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 y (+.f64 y (.f64 x 2)))
0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_16468`
4×	`add-log-exp_binary64_16485` `pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
3×	`associate-l_binary64_16387` `associate-r_binary64_16386`
2×	`flip3-+_binary64_16449` `flip-+_binary64_16420` `distribute-rgt-in_binary64_16396` `associate-+r+_binary64_16378` `distribute-lft-in_binary64_16395` `associate-*r/_binary64_16388`
1×	`sum-log_binary64_16537` `+-commutative_binary64_16376` `pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `unswap-sqr_binary64_16414` `*-commutative_binary64_16377`

Counts

2 → 35

Calls

2 calls:

5.0ms	(.f64 y (+.f64 y (.f64 x 2)))
4.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))

Compiler

Compiled 694 to 367 computations (47.1% saved)

series244.0ms (7.8%)

Error

Counts

2 → 30

Calls

2 calls:

139.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))
87.0ms	(.f64 y (+.f64 y (.f64 x 2)))

Compiler

Compiled 708 to 511 computations (27.8% saved)

simplify62.0ms (2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5032	841

prune42.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 860 to 428 computations (50.2% saved)

regimes221.0ms (7.1%)

Accuracy

Total 0.0b remaining (94.2%)

Threshold costs 0.0b (94.2%)

Compiler

Compiled 2243 to 1355 computations (39.6% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

Remove

(sort x y)

Compiler

Compiled 22 to 12 computations (45.5% saved)

end0.0ms (0%)

sample821.0ms (26.2%)

Algorithm

1×

intervals

Results

144.0ms	8000×	body	128	valid
1.0ms	89×	body	128	invalid

Compiler

Compiled 547 to 338 computations (38.2% saved)

Details

analyze180.0ms (5.7%)

sample208.0ms (6.7%)

simplify8.0ms (0.3%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite38.0ms (1.2%)

series101.0ms (3.2%)

simplify61.0ms (1.9%)

prune38.0ms (1.2%)

localize6.0ms (0.2%)

rewrite69.0ms (2.2%)

series305.0ms (9.8%)

simplify72.0ms (2.3%)

prune60.0ms (1.9%)

localize7.0ms (0.2%)

rewrite63.0ms (2%)

series312.0ms (10%)

simplify95.0ms (3%)

prune58.0ms (1.8%)

localize7.0ms (0.2%)

rewrite41.0ms (1.3%)

series244.0ms (7.8%)

simplify62.0ms (2%)

prune42.0ms (1.3%)

regimes221.0ms (7.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

end0.0ms (0%)

sample821.0ms (26.2%)

Profiling