Details

analyze64.0ms (3.5%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify176.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	346	10
1	346	10

prune3.0ms (0.2%)

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: 0.0b

Counts

2 → 2

Compiler

Compiled 23 to 19 computations (17.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_14589`
4×	`pow1_binary64_14626` `add-cbrt-cube_binary64_14601` `associate-r_binary64_14510` `add-cube-cbrt_binary64_14600` `add-log-exp_binary64_14604` `add-exp-log_binary64_14603` `*-un-lft-identity_binary64_14568`
3×	`associate-l_binary64_14511` `sub-neg_binary64_14561`
2×	`distribute-lft-out--_binary64_14522` `flip3--_binary64_14572` `flip--_binary64_14543` `associate-*r/_binary64_14512`
1×	`diff-log_binary64_14657` `distribute-lft-in_binary64_14519` `cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `distribute-rgt-in_binary64_14520` `pow-prod-down_binary64_14636` `unswap-sqr_binary64_14536`

Counts

2 → 35

Calls

2 calls:

8.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(-.f64 (.f64 x x) (.f64 x y))

series112.0ms (6.2%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
47.0ms	(-.f64 (.f64 x x) (.f64 x y))

simplify50.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5325	499

prune32.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

Compiler

Compiled 546 to 231 computations (57.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 2 x) (-.f64 x y))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_14626` `add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
5×	`associate-r_binary64_14510`
4×	`add-sqr-sqrt_binary64_14589` `*-un-lft-identity_binary64_14568`
3×	`cbrt-unprod_binary64_14598` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636`
2×	`add-cube-cbrt_binary64_14600` `sub-neg_binary64_14561` `associate-*r/_binary64_14512`
1×	`associate-l_binary64_14511` `difference-of-squares_binary64_14537` `distribute-lft-in_binary64_14519` `*-commutative_binary64_14501` `distribute-rgt-in_binary64_14520` `distribute-lft-out--_binary64_14522` `add-log-exp_binary64_14604` `flip3--_binary64_14572` `flip--_binary64_14543`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 2 x) (-.f64 x y))

series58.0ms (3.2%)

Counts

1 → 3

Calls

1 calls:

58.0ms

(*.f64 (*.f64 2 x) (-.f64 x y))

simplify51.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4923	320
1	4923	320

prune16.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

Compiler

Compiled 322 to 109 computations (66.1% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_14626` `add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
4×	`add-sqr-sqrt_binary64_14589` `add-log-exp_binary64_14604`
3×	`associate-l_binary64_14511` `cbrt-unprod_binary64_14598` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636` `add-cube-cbrt_binary64_14600` `*-un-lft-identity_binary64_14568`
1×	`flip3-+_binary64_14571` `sum-log_binary64_14656` `associate-r_binary64_14510` `*-commutative_binary64_14501` `+-commutative_binary64_14500` `flip-+_binary64_14542` `unswap-sqr_binary64_14536`

Counts

2 → 30

Calls

2 calls:

8.0ms	(.f64 2 (.f64 x x))
7.0ms	(+.f64 (.f64 2 (.f64 x x)) (.f64 x (.f64 y -2)))

series97.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

63.0ms	(+.f64 (.f64 2 (.f64 x x)) (.f64 x (.f64 y -2)))
34.0ms	(.f64 2 (.f64 x x))

simplify106.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4938	393
1	4938	393

prune29.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	36	3	39

Merged error: 0b

Counts

39 → 3

Compiler

Compiled 501 to 308 computations (38.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 x (.f64 (sqrt.f64 2) (-.f64 x y)))
0.4b	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (sqrt.f64 2) (-.f64 x y))))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 x y))

rewrite39.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_14626` `add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
17×	`distribute-lft-in_binary64_14519` `distribute-rgt-in_binary64_14520`
15×	`add-sqr-sqrt_binary64_14589` `associate-l_binary64_14511`
14×	`sub-neg_binary64_14561`
12×	`associate-*r/_binary64_14512`
11×	`*-un-lft-identity_binary64_14568`
10×	`cbrt-unprod_binary64_14598` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636`
9×	`add-cube-cbrt_binary64_14600`
7×	`associate-r_binary64_14510` `sqrt-prod_binary64_14583`
3×	`*-commutative_binary64_14501` `add-log-exp_binary64_14604` `flip3--_binary64_14572` `flip--_binary64_14543`
2×	`unswap-sqr_binary64_14536`
1×	`difference-of-squares_binary64_14537` `distribute-lft-out--_binary64_14522`

Counts

3 → 86

Calls

3 calls:

13.0ms	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (sqrt.f64 2) (-.f64 x y))))
9.0ms	(.f64 x (.f64 (sqrt.f64 2) (-.f64 x y)))
8.0ms	(*.f64 (sqrt.f64 2) (-.f64 x y))

series306.0ms (16.9%)

Counts

3 → 9

Calls

3 calls:

147.0ms	(.f64 (sqrt.f64 2) (.f64 x (*.f64 (sqrt.f64 2) (-.f64 x y))))
95.0ms	(.f64 x (.f64 (sqrt.f64 2) (-.f64 x y)))
65.0ms	(*.f64 (sqrt.f64 2) (-.f64 x y))

simplify53.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5230	1246

prune75.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

Compiler

Compiled 1351 to 822 computations (39.2% saved)

regimes19.0ms (1%)

Compiler: Compiled 62 to 58 computations (6.5% 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%)

sample445.0ms (24.5%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	128	valid
4.0ms	134×	body	128	invalid

Compiler

Compiled 53 to 47 computations (11.3% saved)

Details

analyze64.0ms (3.5%)

sample17.0ms (0.9%)

simplify176.0ms (9.7%)

prune3.0ms (0.2%)

localize6.0ms (0.3%)

rewrite15.0ms (0.8%)

series112.0ms (6.2%)

simplify50.0ms (2.7%)

prune32.0ms (1.7%)

localize5.0ms (0.3%)

rewrite10.0ms (0.5%)

series58.0ms (3.2%)

simplify51.0ms (2.8%)

prune16.0ms (0.9%)

localize7.0ms (0.4%)

rewrite17.0ms (0.9%)

series97.0ms (5.3%)

simplify106.0ms (5.8%)

prune29.0ms (1.6%)

localize7.0ms (0.4%)

rewrite39.0ms (2.1%)

series306.0ms (16.9%)

simplify53.0ms (2.9%)

prune75.0ms (4.1%)

regimes19.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample445.0ms (24.5%)

Profiling