Details

analyze2.6s (22.3%)

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)

sample52.0ms (0.5%)

Algorithm

1×

intervals

Results

25.0ms	252×	body	128	valid
2.0ms	23×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify141.0ms (1.2%)

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

prune6.0ms (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

0.4b

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)

localize16.0ms (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))

series170.0ms (1.5%)

Counts

3 → 132

Calls

3 calls:

85.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
79.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
6.0ms	(*.f64 60 (-.f64 x y))

rewrite43.0ms (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:

17.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
12.0ms	(*.f64 60 (-.f64 x y))
1.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

simplify220.0ms (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

prune259.0ms (2.3%)

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 x y) (-.f64 z t))))
✓	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	32.0b	(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))))
	0.4b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 4366 to 2088 computations (52.2% saved)

localize16.0ms (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))
✓	0.3b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series238.0ms (2.1%)

Counts

3 → 156

Calls

3 calls:

89.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
88.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
61.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

rewrite90.0ms (0.8%)

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:

22.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
14.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
1.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

simplify400.0ms (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

prune741.0ms (6.5%)

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

0.0b

Counts

313 → 5

Alt Table

Status	Error	Program
	0.3b	(fma.f64 a 120 (*.f64 (sqrt.f64 60) (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y)))))
✓	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
▶	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	0.4b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 8347 to 3417 computations (59.1% saved)

localize17.0ms (0.1%)

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)))

series261.0ms (2.3%)

Counts

3 → 156

Calls

3 calls:

130.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
79.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
52.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

rewrite68.0ms (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:

33.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
13.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
1.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))

simplify325.0ms (2.8%)

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

prune308.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	181	5	186

Error

0.0b

Counts

186 → 5

Alt Table

Status	Error	Program
▶	0.3b	(fma.f64 a 120 (*.f64 (sqrt.f64 60) (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y)))))
✓	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	0.4b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 4967 to 2143 computations (56.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series438.0ms (3.8%)

Counts

3 → 156

Calls

3 calls:

184.0ms

(fma.f64 a 120 (*.f64 (sqrt.f64 60) (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y)))))

173.0ms

(*.f64 (sqrt.f64 60) (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y))))

80.0ms

(/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite338.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

709×	`times-frac_binary64`
567×	`add-sqr-sqrt_binary64`
535×	`*-un-lft-identity_binary64`
275×	`add-cube-cbrt_binary64`
201×	`sqrt-prod_binary64`

Counts

3 → 475

Calls

3 calls:

127.0ms

(*.f64 (sqrt.f64 60) (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y))))

25.0ms

(/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y)))

1.0ms

(fma.f64 a 120 (*.f64 (sqrt.f64 60) (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y)))))

simplify644.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

443×	`associate-/l*_binary64`
415×	`associate-l_binary64`
382×	`associate-/r/_binary64`
317×	`associate-*l/_binary64`
270×	`associate-/l/_binary64`

Counts

631 → 550

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	596	19560
1	1555	19261
2	5177	19261

prune1.1s (9.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	617	0	617
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	617	5	622

Error

0.0b

Counts

622 → 5

Alt Table

Status	Error	Program
✓	0.3b	(fma.f64 a 120 (*.f64 (sqrt.f64 60) (/.f64 (sqrt.f64 60) (/.f64 (-.f64 z t) (-.f64 x y)))))
✓	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
✓	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	0.4b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))

Compiler

Compiled 19800 to 9765 computations (50.7% saved)

regimes1.3s (11.2%)

Accuracy

Total 0.1b remaining (91%)

Threshold costs 0.1b (91%)

Counts

49 → 1

Compiler

Compiled 10470 to 7398 computations (29.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	17	17
2	25	17
3	29	17
4	31	17
5	31	17

end1.0ms (0%)

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

sample1.7s (14.8%)

Algorithm

1×

intervals

Results

781.0ms	7857×	body	128	valid
70.0ms	701×	body	128	invalid
22.0ms	41×	body	2048	valid
21.0ms	58×	body	1024	valid
9.0ms	30×	body	512	valid
2.0ms	13×	body	256	valid
1.0ms	1×	body	4096	valid

Compiler

Compiled 132 to 97 computations (26.5% saved)

Details

analyze2.6s (22.3%)

sample52.0ms (0.5%)

simplify141.0ms (1.2%)

prune6.0ms (0.1%)

localize16.0ms (0.1%)

series170.0ms (1.5%)

rewrite43.0ms (0.4%)

simplify220.0ms (1.9%)

prune259.0ms (2.3%)

localize16.0ms (0.1%)

series238.0ms (2.1%)

rewrite90.0ms (0.8%)

simplify400.0ms (3.5%)

prune741.0ms (6.5%)

localize17.0ms (0.1%)

series261.0ms (2.3%)

rewrite68.0ms (0.6%)

simplify325.0ms (2.8%)

prune308.0ms (2.7%)

localize23.0ms (0.2%)

series438.0ms (3.8%)

rewrite338.0ms (2.9%)

simplify644.0ms (5.6%)

prune1.1s (9.7%)

regimes1.3s (11.2%)

simplify5.0ms (0%)

end1.0ms (0%)

sample1.7s (14.8%)

Profiling