Details

analyze99.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.1%	99.9%	0
0.1%	0%	99.9%	1

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample71.0ms (2.4%)

Algorithm

1×

intervals

Results

44.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true

Compiler

Compiled 36 to 27 computations (25% saved)

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

47×	`cancel-sign-sub-inv_binary32`
43×	`sub-neg_binary32`
27×	`unsub-neg_binary32`
23×	`associate--r+_binary32`
20×	`distribute-rgt-neg-in_binary32`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	33	10
3	57	10
4	122	10
5	212	10
6	256	10
7	256	10
8	257	10
9	222	10

prune1.0ms (0%)

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	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

Compiler

Compiled 20 to 14 computations (30% saved)

localize16.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(*.f32 ux maxCos)
0.0b	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary32`
7×	`add-log-exp_binary32`
5×	`*-un-lft-identity_binary32`
5×	`add-cube-cbrt_binary32`
4×	`associate-+l+_binary32`

Counts

2 → 35

Calls

2 calls:

11.0ms	(*.f32 ux maxCos)
6.0ms	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))

Compiler

Compiled 434 to 218 computations (49.8% saved)

series25.0ms (0.8%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

13.0ms	(+.f32 (-.f32 1 ux) (*.f32 ux maxCos))
8.0ms	(*.f32 ux maxCos)

Compiler

Compiled 316 to 220 computations (30.4% saved)

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

362×	`associate-l_binary32`
347×	`cancel-sign-sub-inv_binary32`
297×	`associate-r_binary32`
253×	`exp-prod_binary32`
248×	`distribute-rgt-out_binary32`

Counts

53 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	484
1	193	463
2	496	463
3	1893	463
4	4219	463
5	4949	463

prune55.0ms (1.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	1	29

Error

0.0b

Counts

29 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))

Compiler

Compiled 276 to 148 computations (46.4% saved)

localize16.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(*.f32 maxCos ux)
0.0b	(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))

rewrite65.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary32`
9×	`*-un-lft-identity_binary32`
7×	`add-log-exp_binary32`
5×	`cancel-sign-sub-inv_binary32`
5×	`add-cube-cbrt_binary32`

Counts

2 → 40

Calls

2 calls:

4.0ms	(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
3.0ms	(*.f32 maxCos ux)

Compiler

Compiled 499 to 224 computations (55.1% saved)

series22.0ms (0.7%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

13.0ms	(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
8.0ms	(*.f32 maxCos ux)

Compiler

Compiled 316 to 220 computations (30.4% saved)

simplify84.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

632×	`times-frac_binary32`
583×	`distribute-rgt-neg-out_binary32`
310×	`*-commutative_binary32`
296×	`associate-+l+_binary32`
275×	`associate-l_binary32`

Counts

58 → 25

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	560
1	175	521
2	433	521
3	1442	517
4	3067	517
5	4788	517
6	5778	517

prune11.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

Counts

26 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
▶	0.4b	(/.f32 (-.f32 1 (pow.f32 (-.f32 ux (.f32 maxCos ux)) 3)) (+.f32 1 (.f32 ux (.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (.f32 maxCos ux)))))))

Compiler

Compiled 281 to 153 computations (45.6% saved)

localize54.0ms (1.8%)

Local error

Found 4 expressions with local error:

0.1b	(.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (.f32 maxCos ux))))
0.1b	(pow.f32 (-.f32 ux (*.f32 maxCos ux)) 3)
0.3b	(.f32 ux (.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (*.f32 maxCos ux)))))
0.4b	(/.f32 (-.f32 1 (pow.f32 (-.f32 ux (.f32 maxCos ux)) 3)) (+.f32 1 (.f32 ux (.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (.f32 maxCos ux)))))))

rewrite169.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

72×	`add-sqr-sqrt_binary32`
58×	`*-un-lft-identity_binary32`
36×	`times-frac_binary32`
34×	`difference-of-squares_binary32`
27×	`add-cube-cbrt_binary32`

Counts

4 → 157

Calls

4 calls:

13.0ms	(/.f32 (-.f32 1 (pow.f32 (-.f32 ux (.f32 maxCos ux)) 3)) (+.f32 1 (.f32 ux (.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (.f32 maxCos ux)))))))
11.0ms	(.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (.f32 maxCos ux))))
10.0ms	(.f32 ux (.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (*.f32 maxCos ux)))))
3.0ms	(pow.f32 (-.f32 ux (*.f32 maxCos ux)) 3)

Compiler

Compiled 5616 to 3046 computations (45.8% saved)

series357.0ms (12%)

Error

Counts

4 → 43

Calls

4 calls:

251.0ms	(/.f32 (-.f32 1 (pow.f32 (-.f32 ux (.f32 maxCos ux)) 3)) (+.f32 1 (.f32 ux (.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (.f32 maxCos ux)))))))
31.0ms	(.f32 ux (.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (*.f32 maxCos ux)))))
24.0ms	(pow.f32 (-.f32 ux (*.f32 maxCos ux)) 3)
23.0ms	(.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (.f32 maxCos ux))))

Compiler

Compiled 4024 to 2991 computations (25.7% saved)

simplify198.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

677×	`times-frac_binary32`
361×	`associate-r_binary32`
351×	`associate-l_binary32`
249×	`distribute-rgt-in_binary32`
239×	`distribute-lft-in_binary32`

Counts

200 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	7449
1	1008	7072
2	3908	6929
3	5117	6929

prune130.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	171	2	173

Error

Counts

173 → 2

Alt Table

Status	Error	Program
	0.0b	(-.f32 1 (-.f32 ux (*.f32 maxCos ux)))
	0.4b	(/.f32 (-.f32 1 (pow.f32 (-.f32 ux (.f32 maxCos ux)) 3)) (+.f32 1 (.f32 ux (.f32 (-.f32 1 maxCos) (+.f32 1 (-.f32 ux (.f32 maxCos ux)))))))

Compiler

Compiled 4079 to 2090 computations (48.8% saved)

regimes176.0ms (5.9%)

Accuracy

Total 0.0b remaining (37.1%)

Threshold costs 0.0b (37.1%)

Compiler

Compiled 1427 to 967 computations (32.2% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`cancel-sign-sub-inv_binary32`
18×	`distribute-rgt-neg-in_binary32`
11×	`distribute-lft-neg-in_binary32`
10×	`distribute-neg-in_binary32`
8×	`distribute-lft-neg-out_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	17	10
2	31	10
3	53	10
4	70	10
5	82	10
6	91	10
7	93	10
8	89	10

end0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

sample1.3s (43.4%)

Algorithm

1×

intervals

Results

381.0ms	7999×	body	128	valid
243.0ms	8000×	pre	128	true
0.0ms	1×	body	256	valid

Compiler

Compiled 74 to 52 computations (29.7% saved)

Details

analyze99.0ms (3.3%)

sample71.0ms (2.4%)

simplify24.0ms (0.8%)

prune1.0ms (0%)

localize16.0ms (0.5%)

rewrite37.0ms (1.2%)

series25.0ms (0.8%)

simplify72.0ms (2.4%)

prune55.0ms (1.8%)

localize16.0ms (0.5%)

rewrite65.0ms (2.2%)

series22.0ms (0.7%)

simplify84.0ms (2.8%)

prune11.0ms (0.4%)

localize54.0ms (1.8%)

rewrite169.0ms (5.6%)

series357.0ms (12%)

simplify198.0ms (6.6%)

prune130.0ms (4.4%)

regimes176.0ms (5.9%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample1.3s (43.4%)

Profiling