Details

analyze1.3s (27.2%)

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)

sample91.0ms (1.9%)

Algorithm

1×

intervals

Results

14.0ms	253×	body	128	valid
1.0ms	24×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify116.0ms (2.4%)

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 (0.1%)

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

0.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.6b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

Compiler

Compiled 64 to 42 computations (34.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.0b	(*.f64 60 (-.f64 x y))
✓	0.7b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series91.0ms (1.9%)

Counts

3 → 132

Calls

3 calls:

47.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
40.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
4.0ms	(*.f64 60 (-.f64 x y))

rewrite20.0ms (0.4%)

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:

8.0ms	(/.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)))

simplify121.0ms (2.5%)

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

prune138.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	158	5	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Status	Error	Program
	0.7b	(fma.f64 a 120 (/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))))
▶	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.6b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	20.4b	(fma.f64 120 a (*.f64 60 (-.f64 (/.f64 y t) (/.f64 x t))))
	35.5b	(fma.f64 a 120 (/.f64 (/.f64 (*.f64 60 (-.f64 x y)) (sqrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 z t))))
	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

Compiler

Compiled 4400 to 2112 computations (52% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series103.0ms (2.1%)

Counts

3 → 156

Calls

3 calls:

39.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
35.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
28.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`

Counts

3 → 116

Calls

3 calls:

13.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
7.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
0.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))

simplify270.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

788×	`times-frac_binary64`
500×	`fma-neg_binary64`
426×	`sub-neg_binary64`
211×	`fma-def_binary64`
175×	`+-commutative_binary64`

Counts

272 → 181

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	318	6872
1	952	6595
2	3252	6595
3	4972	6595
4	5208	6595

prune131.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	181	6	187

Error

Counts

187 → 6

Alt Table

Status	Error	Program
	0.7b	(fma.f64 a 120 (/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))))
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.6b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	20.4b	(fma.f64 120 a (*.f64 60 (-.f64 (/.f64 y t) (/.f64 x t))))
	35.5b	(fma.f64 a 120 (/.f64 (/.f64 (*.f64 60 (-.f64 x y)) (sqrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 z t))))
▶	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

Compiler

Compiled 5022 to 2175 computations (56.7% saved)

localize8.0ms (0.2%)

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))))
✓	0.6b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series106.0ms (2.2%)

Counts

3 → 156

Calls

3 calls:

39.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
37.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
30.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

rewrite42.0ms (0.9%)

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

simplify275.0ms (5.6%)

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

prune267.0ms (5.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	309	5	314

Error

Counts

314 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.6b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	20.4b	(fma.f64 120 a (*.f64 60 (-.f64 (/.f64 y t) (/.f64 x t))))
▶	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

Compiler

Compiled 8318 to 3393 computations (59.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series92.0ms (1.9%)

Counts

3 → 132

Calls

3 calls:

45.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
36.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
11.0ms	(/.f64 60 (-.f64 z t))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`

Counts

3 → 97

Calls

3 calls:

10.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
5.0ms	(/.f64 60 (-.f64 z t))
0.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

simplify125.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

920×	`times-frac_binary64`
320×	`sub-neg_binary64`
259×	`fma-def_binary64`
240×	`fma-neg_binary64`
163×	`+-commutative_binary64`

Counts

229 → 174

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	5826
1	920	5498
2	3364	5210
3	5099	5210

prune128.0ms (2.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	174	5	179

Error

Counts

179 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.6b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	20.4b	(fma.f64 120 a (*.f64 60 (-.f64 (/.f64 y t) (/.f64 x t))))
✓	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

Compiler

Compiled 4450 to 2238 computations (49.7% saved)

regimes422.0ms (8.6%)

Accuracy

Total 0.1b remaining (90.6%)

Threshold costs 0.1b (90.6%)

Counts

37 → 1

Compiler

Compiled 8100 to 5583 computations (31.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	18	17
2	26	17
3	30	17
4	32	17
5	32	17

end1.0ms (0%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

sample940.0ms (19.2%)

Algorithm

1×

intervals

Results

462.0ms	7849×	body	128	valid
31.0ms	636×	body	128	invalid
11.0ms	61×	body	1024	valid
8.0ms	33×	body	2048	valid
5.0ms	33×	body	512	valid
2.0ms	22×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 126 to 91 computations (27.8% saved)

Details

analyze1.3s (27.2%)

sample91.0ms (1.9%)

simplify116.0ms (2.4%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series91.0ms (1.9%)

rewrite20.0ms (0.4%)

simplify121.0ms (2.5%)

prune138.0ms (2.8%)

localize9.0ms (0.2%)

series103.0ms (2.1%)

rewrite29.0ms (0.6%)

simplify270.0ms (5.5%)

prune131.0ms (2.7%)

localize8.0ms (0.2%)

series106.0ms (2.2%)

rewrite42.0ms (0.9%)

simplify275.0ms (5.6%)

prune267.0ms (5.4%)

localize9.0ms (0.2%)

series92.0ms (1.9%)

rewrite21.0ms (0.4%)

simplify125.0ms (2.5%)

prune128.0ms (2.6%)

regimes422.0ms (8.6%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample940.0ms (19.2%)

Profiling