Details

analyze341.0ms (7.4%)

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)

sample960.0ms (21%)

Infinites

7.4% of outputs are infinite.

Results

828.0ms	8131×	body	128	valid
15.0ms	54×	body	1024	valid
13.0ms	40×	body	2048	valid
5.0ms	23×	body	512	valid
1.0ms	6×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify115.0ms (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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 100 to 68 computations (32% saved)

localize8.0ms (0.2%)

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))

series82.0ms (1.8%)

Counts

3 → 132

Calls

3 calls:

43.0ms	(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))

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:

7.0ms	(/.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)))

simplify105.0ms (2.3%)

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

prune145.0ms (3.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	158	5	163
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	160	5	165

Error

Counts

165 → 5

Alt Table

Status	Error	Program
	0.2b	(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))))
	0.2b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))
▶	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
	0.5b	(fma.f64 a 120 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t))) (cbrt.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)))) (cbrt.f64 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))))

Compiler

Compiled 4425 to 2126 computations (52% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series103.0ms (2.2%)

Counts

3 → 156

Calls

3 calls:

39.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
37.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
27.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

rewrite26.0ms (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:

12.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
6.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
0.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))

simplify175.0ms (3.8%)

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

prune136.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	181	5	186

Error

Counts

186 → 5

Alt Table

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

Compiler

Compiled 5009 to 2175 computations (56.6% 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))))
✓	0.3b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series104.0ms (2.3%)

Counts

3 → 156

Calls

3 calls:

39.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
38.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
26.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

rewrite40.0ms (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:

12.0ms	(/.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))))

simplify289.0ms (6.3%)

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

prune589.0ms (12.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Error

Counts

313 → 5

Alt Table

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

Compiler

Compiled 8355 to 3425 computations (59% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series104.0ms (2.3%)

Counts

3 → 132

Calls

3 calls:

40.0ms	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))
35.0ms	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))
28.0ms	(/.f64 1 (-.f64 z t))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
36×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
29×	`add-exp-log_binary64`
22×	`add-cube-cbrt_binary64`

Counts

3 → 105

Calls

3 calls:

10.0ms	(.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t)))
5.0ms	(/.f64 1 (-.f64 z t))
0.0ms	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))

simplify127.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

853×	`times-frac_binary64`
671×	`cancel-sign-sub-inv_binary64`
312×	`sub-neg_binary64`
223×	`fma-neg_binary64`
214×	`fma-def_binary64`

Counts

237 → 191

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5760
1	844	5378
2	3045	5090
3	5409	5090

prune273.0ms (6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	248	5	253

Error

Counts

253 → 5

Alt Table

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

Compiler

Compiled 6421 to 3240 computations (49.5% saved)

regimes696.0ms (15.2%)

Accuracy

Total 0.1b remaining (90.1%)

Threshold costs 0.1b (90.1%)

Counts

56 → 1

Compiler

Compiled 12723 to 8940 computations (29.7% 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

end86.0ms (1.9%)

Compiler: Compiled 129 to 94 computations (27.1% saved)

Details

analyze341.0ms (7.4%)

sample960.0ms (21%)

simplify115.0ms (2.5%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series82.0ms (1.8%)

rewrite20.0ms (0.4%)

simplify105.0ms (2.3%)

prune145.0ms (3.2%)

localize8.0ms (0.2%)

series103.0ms (2.2%)

rewrite26.0ms (0.6%)

simplify175.0ms (3.8%)

prune136.0ms (3%)

localize8.0ms (0.2%)

series104.0ms (2.3%)

rewrite40.0ms (0.9%)

simplify289.0ms (6.3%)

prune589.0ms (12.9%)

localize10.0ms (0.2%)

series104.0ms (2.3%)

rewrite23.0ms (0.5%)

simplify127.0ms (2.8%)

prune273.0ms (6%)

regimes696.0ms (15.2%)

simplify3.0ms (0.1%)

end86.0ms (1.9%)

Profiling