Details

analyze1.4s (20.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.2s (17.6%)

Results

1.0s	8101×	body	128	valid
87.0ms	722×	body	128	invalid
22.0ms	50×	body	2048	valid
19.0ms	46×	body	1024	valid
9.0ms	34×	body	512	valid
4.0ms	20×	body	256	valid
3.0ms	5×	body	4096	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1714×	`fma-neg_binary64`
791×	`div-sub_binary64`
702×	`fma-def_binary64`
633×	`distribute-rgt-in_binary64`
427×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	23	17
2	46	17
3	90	17
4	173	17
5	320	17
6	671	17
7	1532	17
8	2980	17
9	3024	17
10	3167	17
11	3232	17
12	3299	17
13	3318	17
14	5334	17

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

Compiler

Compiled 64 to 42 computations (34.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 60 (-.f64 x y))
✓	0.0b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.5b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series80.0ms (1.1%)

Counts

3 → 132

Calls

3 calls:

41.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
35.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
3.0ms	(*.f64 60 (-.f64 x y))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

3 → 91

Calls

3 calls:

7.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
5.0ms	(*.f64 60 (-.f64 x y))
0.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

simplify127.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

742×	`cancel-sign-sub-inv_binary64`
331×	`sub-neg_binary64`
233×	`fma-neg_binary64`
229×	`fma-def_binary64`
197×	`associate-/l*_binary64`

Counts

223 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	4894
1	845	4557
2	3320	4449
3	5001	4449

prune200.0ms (2.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	4	164

Error

0.0b

Counts

164 → 4

Alt Table

Status	Error	Program
	31.7b	(fma.f64 a 120 (*.f64 (/.f64 60 (sqrt.f64 (-.f64 z t))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 z t)))))
	0.1b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
	0.4b	(fma.f64 a 120 (/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t)))
▶	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

Compiler

Compiled 4365 to 2086 computations (52.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
✓	0.0b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
✓	0.4b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series131.0ms (1.9%)

Counts

3 → 156

Calls

3 calls:

53.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
41.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
37.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`distribute-lft-out--_binary64`

Counts

3 → 208

Calls

3 calls:

10.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
8.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
0.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

simplify196.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

273×	`fma-neg_binary64`
253×	`associate-/r/_binary64`
228×	`fma-def_binary64`
220×	`*-commutative_binary64`
191×	`+-commutative_binary64`

Counts

364 → 308

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	477	10058
1	1305	9703
2	4771	9703
3	5001	9703

prune240.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	309	3	312

Error

0.0b

Counts

312 → 3

Alt Table

Status	Error	Program
	0.1b	(fma.f64 a 120 (/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y))))
▶	0.1b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

Compiler

Compiled 8300 to 3379 computations (59.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 z t))
✓	0.0b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.2b	(*.f64 60 (/.f64 y (-.f64 z t)))
✓	0.3b	(*.f64 60 (/.f64 x (-.f64 z t)))

series108.0ms (1.6%)

Counts

4 → 132

Calls

4 calls:

52.0ms	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
21.0ms	(*.f64 60 (/.f64 x (-.f64 z t)))
20.0ms	(*.f64 60 (/.f64 y (-.f64 z t)))
15.0ms	(/.f64 x (-.f64 z t))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
54×	`*-un-lft-identity_binary64`
47×	`times-frac_binary64`
42×	`associate-r_binary64`
34×	`add-cube-cbrt_binary64`

Counts

4 → 133

Calls

4 calls:

8.0ms	(*.f64 60 (/.f64 y (-.f64 z t)))
7.0ms	(*.f64 60 (/.f64 x (-.f64 z t)))
3.0ms	(/.f64 x (-.f64 z t))
0.0ms	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))

simplify190.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

871×	`times-frac_binary64`
399×	`cancel-sign-sub-inv_binary64`
345×	`fma-neg_binary64`
212×	`sub-neg_binary64`
190×	`fma-def_binary64`

Counts

265 → 224

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	327	5853
1	909	5594
2	2931	5588
3	4988	5584
4	5129	5584

prune173.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	223	4	227

Error

Counts

227 → 4

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 a 120 (/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y))))
✓	0.1b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	16.3b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 -60 (/.f64 y t))))

Compiler

Compiled 6446 to 2857 computations (55.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 60 (-.f64 z t))
✓	0.0b	(/.f64 1 (-.f64 x y))
✓	0.0b	(fma.f64 a 120 (/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y))))
✓	0.3b	(/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y)))

series99.0ms (1.4%)

Counts

4 → 156

Calls

4 calls:

41.0ms	(fma.f64 a 120 (/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y))))
37.0ms	(/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y)))
11.0ms	(/.f64 1 (-.f64 x y))
9.0ms	(/.f64 60 (-.f64 z t))

rewrite127.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

1131×	`times-frac_binary64`
700×	`*-un-lft-identity_binary64`
700×	`add-sqr-sqrt_binary64`
420×	`add-cube-cbrt_binary64`
140×	`distribute-lft-out--_binary64`

Counts

4 → 601

Calls

4 calls:

16.0ms	(/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y)))
4.0ms	(/.f64 1 (-.f64 x y))
4.0ms	(/.f64 60 (-.f64 z t))
0.0ms	(fma.f64 a 120 (/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y))))

simplify469.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

840×	`times-frac_binary64`
498×	`associate-/l/_binary64`
336×	`associate-/r*_binary64`
298×	`associate-/r/_binary64`
272×	`fma-def_binary64`

Counts

757 → 696

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	23429
1	1828	22051
2	4857	22051
3	5941	22051

prune498.0ms (7.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	696	0	696
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	696	4	700

Error

Counts

700 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 a 120 (/.f64 (/.f64 60 (-.f64 z t)) (/.f64 1 (-.f64 x y))))
✓	0.1b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	16.3b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 -60 (/.f64 y t))))

Compiler

Compiled 21093 to 10370 computations (50.8% saved)

regimes1.3s (19.3%)

Accuracy

Total 0.1b remaining (80.8%)

Threshold costs 0.1b (80.8%)

Counts

101 → 1

Compiler

Compiled 22139 to 15785 computations (28.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	23	17
2	30	17
3	34	17
4	36	17
5	35	17

end68.0ms (1%)

Compiler: Compiled 114 to 80 computations (29.8% saved)

Details

analyze1.4s (20.6%)

sample1.2s (17.6%)

simplify112.0ms (1.6%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series80.0ms (1.1%)

rewrite22.0ms (0.3%)

simplify127.0ms (1.8%)

prune200.0ms (2.9%)

localize8.0ms (0.1%)

series131.0ms (1.9%)

rewrite42.0ms (0.6%)

simplify196.0ms (2.8%)

prune240.0ms (3.5%)

localize10.0ms (0.1%)

series108.0ms (1.6%)

rewrite26.0ms (0.4%)

simplify190.0ms (2.7%)

prune173.0ms (2.5%)

localize11.0ms (0.2%)

series99.0ms (1.4%)

rewrite127.0ms (1.8%)

simplify469.0ms (6.7%)

prune498.0ms (7.2%)

regimes1.3s (19.3%)

simplify2.0ms (0%)

end68.0ms (1%)

Profiling