Details

analyze1.3s (18.1%)

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)

sample96.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms	251×	body	128	valid
1.0ms	26×	body	128	invalid
0.0ms	3×	body	512	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify115.0ms (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)

localize9.0ms (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))

series131.0ms (1.8%)

Counts

3 → 132

Calls

3 calls:

85.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
37.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
4.0ms	(*.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)))

simplify125.0ms (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

prune190.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	155	8	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	8	164

Error

0.0b

Counts

164 → 8

Alt Table

Status	Error	Program
	27.5b	(fma.f64 a 120 (/.f64 (/.f64 (.f64 60 (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y)) (-.f64 z t)))
▶	0.2b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	0.5b	(fma.f64 a 120 (/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))))
	14.8b	(fma.f64 60 (/.f64 x (-.f64 z t)) (*.f64 120 a))
	0.4b	(fma.f64 a 120 (/.f64 (*.f64 (-.f64 x y) 60) (-.f64 z t)))
	0.7b	(fma.f64 a 120 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))))
	0.2b	(-.f64 (+.f64 (.f64 120 a) (.f64 60 (/.f64 x (-.f64 z t)))) (*.f64 60 (/.f64 y (-.f64 z t))))
	0.4b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 4525 to 2192 computations (51.6% saved)

localize10.0ms (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))))
✓	0.5b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series123.0ms (1.7%)

Counts

3 → 156

Calls

3 calls:

52.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
41.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
30.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

rewrite44.0ms (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:

9.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
7.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
0.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

simplify249.0ms (3.5%)

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

prune259.0ms (3.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	307	1	308
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	312	4	316

Error

0.0b

Counts

316 → 4

Alt Table

Status	Error	Program
	0.4b	(fma.f64 a 120 (/.f64 (*.f64 (-.f64 x y) 60) (-.f64 z t)))
	0.7b	(fma.f64 a 120 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))))
	0.2b	(-.f64 (+.f64 (.f64 120 a) (.f64 60 (/.f64 x (-.f64 z t)))) (*.f64 60 (/.f64 y (-.f64 z t))))
▶	0.2b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

Compiler

Compiled 8371 to 3419 computations (59.2% saved)

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

series99.0ms (1.4%)

Counts

3 → 132

Calls

3 calls:

45.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
39.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
14.0ms	(/.f64 60 (-.f64 z t))

rewrite22.0ms (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:

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))))

simplify134.0ms (1.9%)

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

prune145.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	174	4	178

Error

0.0b

Counts

178 → 4

Alt Table

Status	Error	Program
	0.4b	(fma.f64 a 120 (/.f64 (*.f64 (-.f64 x y) 60) (-.f64 z t)))
	0.7b	(fma.f64 a 120 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))))
▶	0.2b	(-.f64 (+.f64 (.f64 120 a) (.f64 60 (/.f64 x (-.f64 z t)))) (*.f64 60 (/.f64 y (-.f64 z t))))
✓	0.2b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

Compiler

Compiled 4520 to 2276 computations (49.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series75.0ms (1.1%)

Counts

4 → 96

Calls

4 calls:

22.0ms	(*.f64 60 (/.f64 y (-.f64 z t)))
20.0ms	(*.f64 60 (/.f64 x (-.f64 z t)))
17.0ms	(/.f64 x (-.f64 z t))
16.0ms	(/.f64 y (-.f64 z t))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
62×	`times-frac_binary64`
44×	`add-cube-cbrt_binary64`
42×	`associate-r_binary64`

Counts

4 → 162

Calls

4 calls:

8.0ms	(*.f64 60 (/.f64 x (-.f64 z t)))
8.0ms	(*.f64 60 (/.f64 y (-.f64 z t)))
5.0ms	(/.f64 y (-.f64 z t))
4.0ms	(/.f64 x (-.f64 z t))

simplify158.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

874×	`times-frac_binary64`
713×	`fma-def_binary64`
262×	`fma-neg_binary64`
162×	`associate-/l*_binary64`
140×	`*-commutative_binary64`

Counts

258 → 228

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4922
1	793	4718
2	2412	4302
3	4841	4302
4	4982	4302

prune185.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	228	4	232

Error

0.0b

Counts

232 → 4

Alt Table

Status	Error	Program
	0.4b	(-.f64 (+.f64 (.f64 120 a) (.f64 (.f64 60 x) (/.f64 1 (-.f64 z t)))) (.f64 60 (/.f64 y (-.f64 z t))))
✓	0.2b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
	0.4b	(fma.f64 a 120 (/.f64 (*.f64 (-.f64 x y) 60) (-.f64 z t)))
✓	0.2b	(-.f64 (+.f64 (.f64 120 a) (.f64 60 (/.f64 x (-.f64 z t)))) (*.f64 60 (/.f64 y (-.f64 z t))))

Compiler

Compiled 6456 to 2861 computations (55.7% saved)

regimes2.6s (36.8%)

Accuracy

Total 0.1b remaining (85%)

Threshold costs 0.1b (85%)

Counts

160 → 1

Compiler

Compiled 39043 to 27318 computations (30% 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)

sample954.0ms (13.4%)

Algorithm

1×

intervals

Results

413.0ms	7875×	body	128	valid
32.0ms	678×	body	128	invalid
10.0ms	51×	body	1024	valid
7.0ms	33×	body	2048	valid
4.0ms	30×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 125 to 89 computations (28.8% saved)

Details

analyze1.3s (18.1%)

sample96.0ms (1.3%)

simplify115.0ms (1.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series131.0ms (1.8%)

rewrite20.0ms (0.3%)

simplify125.0ms (1.8%)

prune190.0ms (2.7%)

localize10.0ms (0.1%)

series123.0ms (1.7%)

rewrite44.0ms (0.6%)

simplify249.0ms (3.5%)

prune259.0ms (3.6%)

localize9.0ms (0.1%)

series99.0ms (1.4%)

rewrite22.0ms (0.3%)

simplify134.0ms (1.9%)

prune145.0ms (2%)

localize11.0ms (0.2%)

series75.0ms (1.1%)

rewrite34.0ms (0.5%)

simplify158.0ms (2.2%)

prune185.0ms (2.6%)

regimes2.6s (36.8%)

simplify3.0ms (0%)

end1.0ms (0%)

sample954.0ms (13.4%)

Profiling