Details

analyze522.0ms (9.4%)

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
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
49.9%	49.9%	0.2%	8
49.9%	49.9%	0.2%	9
74.8%	24.9%	0.2%	10
74.8%	24.9%	0.2%	11
74.8%	24.9%	0.2%	12
74.8%	24.9%	0.2%	13
74.8%	24.9%	0.2%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (24%)

Results

1.2s	8125×	body	128	valid
21.0ms	47×	body	2048	valid
16.0ms	44×	body	1024	valid
10.0ms	25×	body	512	valid
3.0ms	14×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify142.0ms (2.5%)

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

prune5.0ms (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)

localize16.0ms (0.3%)

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)))
✓	0.7b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series198.0ms (3.6%)

Counts

3 → 132

Calls

3 calls:

115.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
72.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
10.0ms	(*.f64 60 (-.f64 x y))

rewrite40.0ms (0.7%)

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:

15.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
11.0ms	(*.f64 60 (-.f64 x y))
4.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

simplify212.0ms (3.8%)

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

prune197.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	5	164

Error

Counts

164 → 5

Alt Table

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

Compiler

Compiled 4362 to 2092 computations (52% saved)

localize9.0ms (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))))
✓	0.3b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series125.0ms (2.3%)

Counts

3 → 156

Calls

3 calls:

43.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
43.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
39.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite49.0ms (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:

14.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
1.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

simplify289.0ms (5.2%)

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

prune311.0ms (5.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	308	5	313

Error

Counts

313 → 5

Alt Table

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

Compiler

Compiled 8339 to 3409 computations (59.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series103.0ms (1.8%)

Counts

3 → 132

Calls

3 calls:

44.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
42.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
16.0ms	(/.f64 60 (-.f64 z t))

rewrite22.0ms (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:

12.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
4.0ms	(/.f64 60 (-.f64 z t))
0.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

simplify147.0ms (2.6%)

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

prune276.0ms (5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
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))))
✓	0.1b	(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))))
✓	0.6b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	0.6b	(fma.f64 a 120 (/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))))

Compiler

Compiled 4488 to 2266 computations (49.5% saved)

localize19.0ms (0.3%)

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))
✓	0.2b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

series268.0ms (4.8%)

Counts

3 → 156

Calls

3 calls:

121.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
97.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
50.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

rewrite58.0ms (1%)

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:

23.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
12.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
1.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))

simplify357.0ms (6.4%)

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

prune202.0ms (3.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	181	5	186

Error

Counts

186 → 5

Alt Table

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

Compiler

Compiled 4923 to 2109 computations (57.2% saved)

regimes538.0ms (9.7%)

Accuracy

Total 0.1b remaining (93.1%)

Threshold costs 0.1b (93.1%)

Counts

41 → 1

Compiler

Compiled 9864 to 6710 computations (32% 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

end107.0ms (1.9%)

Compiler: Compiled 121 to 86 computations (28.9% saved)

Details

analyze522.0ms (9.4%)

sample1.3s (24%)

simplify142.0ms (2.5%)

prune5.0ms (0.1%)

localize16.0ms (0.3%)

series198.0ms (3.6%)

rewrite40.0ms (0.7%)

simplify212.0ms (3.8%)

prune197.0ms (3.5%)

localize9.0ms (0.2%)

series125.0ms (2.3%)

rewrite49.0ms (0.9%)

simplify289.0ms (5.2%)

prune311.0ms (5.6%)

localize9.0ms (0.2%)

series103.0ms (1.8%)

rewrite22.0ms (0.4%)

simplify147.0ms (2.6%)

prune276.0ms (5%)

localize19.0ms (0.3%)

series268.0ms (4.8%)

rewrite58.0ms (1%)

simplify357.0ms (6.4%)

prune202.0ms (3.6%)

regimes538.0ms (9.7%)

simplify3.0ms (0.1%)

end107.0ms (1.9%)

Profiling