Details

analyze1.4s (23.3%)

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)

sample89.0ms (1.5%)

Algorithm

1×

intervals

Results

15.0ms	251×	body	128	valid
1.0ms	17×	body	128	invalid
1.0ms	4×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify113.0ms (1.9%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(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)))
✓	0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series88.0ms (1.5%)

Counts

3 → 132

Calls

3 calls:

44.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
39.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
5.0ms	(*.f64 60 (-.f64 x y))

rewrite20.0ms (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:

8.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
6.0ms	(*.f64 60 (-.f64 x y))
0.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

simplify117.0ms (1.9%)

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

prune153.0ms (2.5%)

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

0.0b

Counts

164 → 5

Alt Table

Status	Error	Program
	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	0.6b	(fma.f64 a 120 (/.f64 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (-.f64 x y)) (cbrt.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)))))
	0.2b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 4388 to 2096 computations (52.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series144.0ms (2.4%)

Counts

4 → 138

Calls

4 calls:

53.0ms	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
47.0ms	(-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t))))
24.0ms	(*.f64 60 (/.f64 x (-.f64 z t)))
21.0ms	(*.f64 60 (/.f64 y (-.f64 z t)))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
42×	`associate-r_binary64`
36×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`

Counts

4 → 113

Calls

4 calls:

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

simplify138.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac_binary64`
342×	`sub-neg_binary64`
322×	`fma-neg_binary64`
240×	`fma-def_binary64`
167×	`associate-/l*_binary64`

Counts

251 → 224

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	6505
1	980	6245
2	3374	6236
3	5084	6236

prune217.0ms (3.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	223	6	229

Error

0.0b

Counts

229 → 6

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	0.3b	(fma.f64 a 120 (-.f64 (.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (.f64 (cbrt.f64 60) (/.f64 x (-.f64 z t)))) (.f64 60 (/.f64 y (-.f64 z t)))))
	0.6b	(fma.f64 a 120 (/.f64 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (-.f64 x y)) (cbrt.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)))))
	0.2b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 6749 to 3086 computations (54.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series114.0ms (1.9%)

Counts

3 → 156

Calls

3 calls:

45.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
39.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
30.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

rewrite44.0ms (0.7%)

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:

9.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
6.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
0.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

simplify295.0ms (4.9%)

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

prune278.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	3	0	3
Picked	0	1	1
Done	1	1	2
Total	310	4	314

Error

0.0b

Counts

314 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
▶	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
	0.2b	(fma.f64 a 120 (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (*.f64 (-.f64 x y) (sqrt.f64 60)))))

Compiler

Compiled 8309 to 3389 computations (59.2% saved)

localize8.0ms (0.1%)

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)))

series93.0ms (1.5%)

Counts

3 → 132

Calls

3 calls:

43.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
39.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
10.0ms	(/.f64 60 (-.f64 z t))

rewrite21.0ms (0.3%)

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

simplify156.0ms (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

prune136.0ms (2.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	174	4	178

Error

0.0b

Counts

178 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
✓	0.1b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
	0.2b	(fma.f64 a 120 (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (*.f64 (-.f64 x y) (sqrt.f64 60)))))

Compiler

Compiled 4437 to 2230 computations (49.7% saved)

regimes973.0ms (16.1%)

Accuracy

Total 0.4b remaining (96.4%)

Threshold costs 0.4b (96.4%)

Counts

85 → 1

Compiler

Compiled 19087 to 13298 computations (30.3% saved)

simplify3.0ms (0%)

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)

sample1.4s (22.7%)

Algorithm

1×

intervals

Results

747.0ms	7874×	body	128	valid
35.0ms	681×	body	128	invalid
14.0ms	53×	body	1024	valid
8.0ms	33×	body	2048	valid
3.0ms	20×	body	512	valid
2.0ms	18×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 113 to 83 computations (26.5% saved)

Details

analyze1.4s (23.3%)

sample89.0ms (1.5%)

simplify113.0ms (1.9%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

series88.0ms (1.5%)

rewrite20.0ms (0.3%)

simplify117.0ms (1.9%)

prune153.0ms (2.5%)

localize11.0ms (0.2%)

series144.0ms (2.4%)

rewrite30.0ms (0.5%)

simplify138.0ms (2.3%)

prune217.0ms (3.6%)

localize9.0ms (0.1%)

series114.0ms (1.9%)

rewrite44.0ms (0.7%)

simplify295.0ms (4.9%)

prune278.0ms (4.6%)

localize8.0ms (0.1%)

series93.0ms (1.5%)

rewrite21.0ms (0.3%)

simplify156.0ms (2.6%)

prune136.0ms (2.3%)

regimes973.0ms (16.1%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.4s (22.7%)

Profiling