Details

analyze93.0ms (5.3%)

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
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
54.6%	42.1%	3.2%	7
63.2%	30.4%	6.3%	8
69.9%	21.5%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
82%	7%	11%	12
83.9%	4.4%	11.8%	13
84.7%	3.5%	11.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (1.3%)

Algorithm

1×

intervals

Results

7.0ms	190×	body	128	valid
3.0ms	27×	body	512	valid
3.0ms	21×	body	1024	valid
1.0ms	17×	body	256	valid
0.0ms	1×	body	2048	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify445.0ms (25.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	5043	10

prune7.0ms (0.4%)

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: 0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (-.f64 1 y) (*.f64 x y))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_17508`
4×	`associate-+l+_binary64_17402`
3×	`cancel-sign-sub-inv_binary64_17435`
2×	`*-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `sum-log_binary64_17560`
1×	`sub-neg_binary64_17462` `associate-+l-_binary64_17404` `flip3-+_binary64_17472` `flip-+_binary64_17443` `add-exp-log_binary64_17507` `diff-log_binary64_17561` `+-commutative_binary64_17399` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`

Counts

1 → 17

Calls

1 calls:

9.0ms

(+.f64 (-.f64 1 y) (*.f64 x y))

series29.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(+.f64 (-.f64 1 y) (*.f64 x y))

simplify105.0ms (6%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5024	264

prune19.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0b

Counts

22 → 2

Compiler

Compiled 233 to 125 computations (46.4% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 1 y))
3.6b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

rewrite32.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_17491`
14×	`*-un-lft-identity_binary64_17469`
12×	`cancel-sign-sub-inv_binary64_17435`
8×	`associate-+r+_binary64_17401` `distribute-rgt-in_binary64_17419` `add-cube-cbrt_binary64_17504` `distribute-lft-in_binary64_17418`
6×	`associate-l_binary64_17410` `associate-r_binary64_17409` `flip3--_binary64_17473` `flip--_binary64_17444`
4×	`sub-neg_binary64_17462` `difference-of-squares_binary64_17438` `frac-times_binary64_17479` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
2×	`associate-r/_binary64_17411` `associate-l/_binary64_17412` `distribute-lft-out--_binary64_17421`
1×	`*-commutative_binary64_17400` `flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `cbrt-unprod_binary64_17502` `sum-log_binary64_17560`

Counts

2 → 59

Calls

2 calls:

15.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))
5.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

series83.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
24.0ms	(*.f64 (-.f64 1 x) (-.f64 1 y))

simplify88.0ms (5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4929	826
1	4929	826

prune86.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	65	2	67

Merged error: 0b

Counts

67 → 2

Compiler

Compiled 912 to 564 computations (38.2% saved)

regimes39.0ms (2.2%)

Compiler: Compiled 124 to 120 computations (3.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample670.0ms (38.4%)

Algorithm

1×

intervals

Results

210.0ms	6040×	body	128	valid
82.0ms	697×	body	1024	valid
68.0ms	761×	body	512	valid
30.0ms	495×	body	256	valid
2.0ms	57×	body	128	invalid
1.0ms	7×	body	2048	valid

Compiler

Compiled 48 to 45 computations (6.3% saved)

Details

analyze93.0ms (5.3%)

sample23.0ms (1.3%)

simplify445.0ms (25.5%)

prune7.0ms (0.4%)

localize8.0ms (0.4%)

rewrite11.0ms (0.6%)

series29.0ms (1.7%)

simplify105.0ms (6%)

prune19.0ms (1.1%)

localize6.0ms (0.4%)

rewrite32.0ms (1.8%)

series83.0ms (4.7%)

simplify88.0ms (5%)

prune86.0ms (4.9%)

regimes39.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample670.0ms (38.4%)

Profiling