Details

analyze103.0ms (6.7%)

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%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms	255×	body	128	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify15.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
22×	`sub-neg_binary64`
19×	`distribute-lft-in_binary64`
19×	`neg-mul-1_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	20	7
3	34	7
4	48	7
5	73	7
6	113	7
7	150	7
8	173	7
9	193	7
10	184	7
11	156	7

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))

rewrite21.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`associate-r_binary64`
5×	`add-cube-cbrt_binary64`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 500 (-.f64 x y))

Compiler

Compiled 319 to 175 computations (45.1% saved)

series39.0ms (2.6%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

37.0ms

(*.f64 500 (-.f64 x y))

Compiler

Compiled 153 to 119 computations (22.2% saved)

simplify53.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

555×	`unsub-neg_binary64`
539×	`distribute-rgt-neg-out_binary64`
501×	`*-commutative_binary64`
332×	`distribute-neg-out_binary64`
281×	`associate-l_binary64`

Counts

42 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	367
1	154	343
2	344	343
3	1347	343
4	2212	343
5	4959	343

prune6.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

0.0b

Counts

24 → 3

Alt Table

Status	Error	Program
	0.6b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
▶	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 117 to 82 computations (29.9% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`
1×	`flip3-+_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+.f64 (*.f64 500 x) (*.f64 -500 y))

Compiler

Compiled 180 to 138 computations (23.3% saved)

series14.0ms (0.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

13.0ms

(+.f64 (*.f64 500 x) (*.f64 -500 y))

Compiler

Compiled 153 to 119 computations (22.2% saved)

simplify100.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

512×	`distribute-rgt-neg-out_binary64`
402×	`distribute-rgt-in_binary64`
364×	`distribute-lft-in_binary64`
336×	`times-frac_binary64`
320×	`*-commutative_binary64`

Counts

23 → 14

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	232
1	117	208
2	365	208
3	1190	204
4	3335	204
5	4571	204
6	4998	204

prune5.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	14	3	17

Error

0.0b

Counts

17 → 3

Alt Table

Status	Error	Program
▶	0.6b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))

Compiler

Compiled 139 to 91 computations (34.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (-.f64 x y) (sqrt.f64 500))
0.4b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))

rewrite38.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`

Counts

2 → 49

Calls

2 calls:

9.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
6.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))

Compiler

Compiled 678 to 461 computations (32% saved)

series44.0ms (2.9%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

23.0ms	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
17.0ms	(*.f64 (-.f64 x y) (sqrt.f64 500))

Compiler

Compiled 519 to 451 computations (13.1% saved)

simplify65.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

460×	`distribute-rgt-neg-out_binary64`
423×	`unsub-neg_binary64`
385×	`associate-l_binary64`
321×	`neg-sub0_binary64`
303×	`neg-mul-1_binary64`

Counts

73 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	972
1	185	719
2	509	719
3	1688	711
4	2935	711
5	5233	711

prune17.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	4	64

Error

Counts

64 → 4

Alt Table

Status	Error	Program
✓	0.6b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
✓	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
✓	0.0b	(*.f64 500 (-.f64 x y))
▶	30.4b	(/.f64 (.f64 500 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))

Compiler

Compiled 494 to 317 computations (35.8% saved)

localize52.0ms (3.4%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 500 (-.f64 (.f64 x x) (*.f64 y y)))
4.9b	(-.f64 (.f64 x x) (.f64 y y))
28.3b	(/.f64 (.f64 500 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))

rewrite39.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 65

Calls

3 calls:

7.0ms	(/.f64 (.f64 500 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
5.0ms	(.f64 500 (-.f64 (.f64 x x) (*.f64 y y)))
3.0ms	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1359 to 393 computations (71.1% saved)

series63.0ms (4.1%)

Error

Counts

3 → 36

Calls

3 calls:

21.0ms	(/.f64 (.f64 500 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
21.0ms	(.f64 500 (-.f64 (.f64 x x) (*.f64 y y)))
18.0ms	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 732 to 545 computations (25.5% saved)

simplify103.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-l_binary64`
428×	`associate-/l*_binary64`
379×	`times-frac_binary64`
358×	`distribute-rgt-in_binary64`
343×	`distribute-lft-in_binary64`

Counts

101 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1613
1	312	1397
2	1047	1217
3	4784	1217
4	4930	1217

prune17.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	75	4	79

Error

Counts

79 → 4

Alt Table

Status	Error	Program
	0.6b	(.f64 (sqrt.f64 500) (.f64 (-.f64 x y) (sqrt.f64 500)))
	0.0b	(+.f64 (.f64 500 x) (.f64 -500 y))
	0.0b	(*.f64 500 (-.f64 x y))
	30.4b	(/.f64 (.f64 500 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))

Compiler

Compiled 649 to 268 computations (58.7% saved)

regimes139.0ms (9%)

Accuracy

Total 0.0b remaining (77.4%)

Threshold costs 0.0b (77.4%)

Compiler

Compiled 1128 to 838 computations (25.7% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	11	10

end0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample556.0ms (36.2%)

Algorithm

1×

intervals

Results

172.0ms	7980×	body	128	valid
2.0ms	74×	body	128	invalid
1.0ms	10×	body	1024	valid
0.0ms	4×	body	2048	valid
0.0ms	5×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 61 to 45 computations (26.2% saved)

Details

analyze103.0ms (6.7%)

sample15.0ms (0.9%)

simplify15.0ms (0.9%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

rewrite21.0ms (1.4%)

series39.0ms (2.6%)

simplify53.0ms (3.5%)

prune6.0ms (0.4%)

localize8.0ms (0.5%)

rewrite9.0ms (0.6%)

series14.0ms (0.9%)

simplify100.0ms (6.5%)

prune5.0ms (0.3%)

localize6.0ms (0.4%)

rewrite38.0ms (2.5%)

series44.0ms (2.9%)

simplify65.0ms (4.3%)

prune17.0ms (1.1%)

localize52.0ms (3.4%)

rewrite39.0ms (2.6%)

series63.0ms (4.1%)

simplify103.0ms (6.7%)

prune17.0ms (1.1%)

regimes139.0ms (9%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample556.0ms (36.2%)

Profiling