Details

analyze1.6s (22.8%)

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)

sample1.3s (19.1%)

Results

1.1s	8114×	body	128	valid
100.0ms	689×	body	128	invalid
20.0ms	43×	body	2048	valid
17.0ms	46×	body	1024	valid
9.0ms	31×	body	512	valid
4.0ms	19×	body	256	valid
2.0ms	3×	body	4096	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify112.0ms (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

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(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 2 expressions with local error:

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

series78.0ms (1.1%)

Counts

2 → 108

Calls

2 calls:

43.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
36.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
5×	`associate-/r*_binary64`

Counts

2 → 41

Calls

2 calls:

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

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

973×	`times-frac_binary64`
668×	`cancel-sign-sub-inv_binary64`
311×	`sub-neg_binary64`
216×	`fma-def_binary64`
212×	`fma-neg_binary64`

Counts

149 → 106

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	224	4137
1	712	3860
2	2617	3860
3	5129	3860

prune101.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	5	107

Error

Counts

107 → 5

Alt Table

Status	Error	Program
	11.2b	(fma.f64 60 (/.f64 x (-.f64 z t)) (*.f64 120 a))
✓	0.3b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	29.6b	(fma.f64 a 120 (.f64 60 (-.f64 (+.f64 (/.f64 (.f64 y z) (.f64 t t)) (/.f64 y t)) (+.f64 (/.f64 (.f64 z x) (*.f64 t t)) (/.f64 x t)))))
▶	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	0.4b	(fma.f64 a 120 (/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))))

Compiler

Compiled 3068 to 1550 computations (49.5% saved)

localize10.0ms (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))))
✓	0.9b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series106.0ms (1.5%)

Counts

3 → 156

Calls

3 calls:

42.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
36.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
27.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

rewrite39.0ms (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:

8.0ms	(/.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))))

simplify202.0ms (2.9%)

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

prune228.0ms (3.3%)

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	0	1	1
Total	309	4	313

Error

Counts

313 → 4

Alt Table

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

Compiler

Compiled 8313 to 3393 computations (59.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
✓	0.0b	(fma.f64 a 120 (/.f64 1 (/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60)))
✓	0.2b	(/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60)
✓	0.9b	(/.f64 1 (/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60))

series191.0ms (2.8%)

Counts

3 → 156

Calls

3 calls:

111.0ms	(fma.f64 a 120 (/.f64 1 (/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60)))
40.0ms	(/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60)
39.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60))

rewrite154.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

1156×	`times-frac_binary64`
757×	`*-un-lft-identity_binary64`
757×	`add-sqr-sqrt_binary64`
437×	`add-cube-cbrt_binary64`
160×	`distribute-lft-out--_binary64`

Counts

3 → 573

Calls

3 calls:

20.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60))
9.0ms	(/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60)
0.0ms	(fma.f64 a 120 (/.f64 1 (/.f64 (/.f64 (-.f64 z t) (-.f64 x y)) 60)))

simplify468.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

427×	`associate-/r/_binary64`
310×	`fma-def_binary64`
306×	`associate-/l/_binary64`
244×	`associate-/r*_binary64`
231×	`associate-*l/_binary64`

Counts

729 → 706

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	636	23701
1	1697	21490
2	4701	21214
3	5132	21214

prune545.0ms (7.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	773	0	773
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	773	4	777

Error

Counts

777 → 4

Alt Table

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

Compiler

Compiled 23558 to 10251 computations (56.5% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 z t))
✓	0.0b	(fma.f64 a 120 (*.f64 (/.f64 1 (-.f64 z t)) (/.f64 60 (/.f64 1 (-.f64 x y)))))
✓	0.2b	(/.f64 60 (/.f64 1 (-.f64 x y)))
✓	0.5b	(*.f64 (/.f64 1 (-.f64 z t)) (/.f64 60 (/.f64 1 (-.f64 x y))))

series134.0ms (1.9%)

Counts

4 → 156

Calls

4 calls:

80.0ms	(fma.f64 a 120 (*.f64 (/.f64 1 (-.f64 z t)) (/.f64 60 (/.f64 1 (-.f64 x y)))))
42.0ms	(*.f64 (/.f64 1 (-.f64 z t)) (/.f64 60 (/.f64 1 (-.f64 x y))))
8.0ms	(/.f64 1 (-.f64 z t))
4.0ms	(/.f64 60 (/.f64 1 (-.f64 x y)))

rewrite76.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

284×	`times-frac_binary64`
226×	`add-sqr-sqrt_binary64`
193×	`*-un-lft-identity_binary64`
130×	`add-cube-cbrt_binary64`
82×	`add-exp-log_binary64`

Counts

4 → 300

Calls

4 calls:

31.0ms	(*.f64 (/.f64 1 (-.f64 z t)) (/.f64 60 (/.f64 1 (-.f64 x y))))
7.0ms	(/.f64 60 (/.f64 1 (-.f64 x y)))
4.0ms	(/.f64 1 (-.f64 z t))
0.0ms	(fma.f64 a 120 (*.f64 (/.f64 1 (-.f64 z t)) (/.f64 60 (/.f64 1 (-.f64 x y)))))

simplify209.0ms (3%)

Algorithm

1×	egg-herbie

Rules

684×	`cancel-sign-sub-inv_binary64`
332×	`sub-neg_binary64`
227×	`fma-neg_binary64`
226×	`fma-def_binary64`
217×	`associate-/l*_binary64`

Counts

456 → 464

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	417	9752
1	1153	8710
2	4091	8710
3	5417	8710

prune378.0ms (5.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	464	0	464
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	464	4	468

Error

Counts

468 → 4

Alt Table

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

Compiler

Compiled 12618 to 7031 computations (44.3% saved)

regimes737.0ms (10.7%)

Accuracy

Total 0.1b remaining (81.9%)

Threshold costs 0.1b (81.9%)

Counts

68 → 1

Compiler

Compiled 14863 to 10713 computations (27.9% 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

end92.0ms (1.3%)

Compiler: Compiled 108 to 78 computations (27.8% saved)

Details

analyze1.6s (22.8%)

sample1.3s (19.1%)

simplify112.0ms (1.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series78.0ms (1.1%)

rewrite10.0ms (0.1%)

simplify91.0ms (1.3%)

prune101.0ms (1.5%)

localize10.0ms (0.2%)

series106.0ms (1.5%)

rewrite39.0ms (0.6%)

simplify202.0ms (2.9%)

prune228.0ms (3.3%)

localize10.0ms (0.1%)

series191.0ms (2.8%)

rewrite154.0ms (2.2%)

simplify468.0ms (6.8%)

prune545.0ms (7.9%)

localize19.0ms (0.3%)

series134.0ms (1.9%)

rewrite76.0ms (1.1%)

simplify209.0ms (3%)

prune378.0ms (5.5%)

regimes737.0ms (10.7%)

simplify3.0ms (0%)

end92.0ms (1.3%)

Profiling