Details

analyze1.5s (25.3%)

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)

sample1.3s (22.1%)

Results

1.1s	8108×	body	128	valid
90.0ms	672×	body	128	invalid
25.0ms	58×	body	1024	valid
17.0ms	34×	body	2048	valid
10.0ms	36×	body	512	valid
4.0ms	19×	body	256	valid
1.0ms	1×	body	4096	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify118.0ms (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

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))

series89.0ms (1.5%)

Counts

3 → 132

Calls

3 calls:

45.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
40.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
4.0ms	(*.f64 60 (-.f64 x y))

rewrite21.0ms (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:

10.0ms	(/.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)))

simplify156.0ms (2.7%)

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

prune226.0ms (3.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	157	6	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Status	Error	Program
	0.1b	(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))))
	0.4b	(fma.f64 a 120 (/.f64 (.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (cbrt.f64 60) (-.f64 x y))) (-.f64 z t)))
	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
	16.3b	(fma.f64 a 120 (.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 (.f64 z z) (.f64 t t))) (+.f64 z t)))
	38.3b	(cbrt.f64 (pow.f64 (fma.f64 120 a (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) 3))

Compiler

Compiled 4441 to 2148 computations (51.6% saved)

localize8.0ms (0.1%)

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))))
✓	0.2b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

series142.0ms (2.4%)

Counts

3 → 156

Calls

3 calls:

73.0ms	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
40.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
28.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

rewrite29.0ms (0.5%)

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:

13.0ms	(*.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))))

simplify169.0ms (2.9%)

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

prune158.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	181	6	187

Error

Counts

187 → 6

Alt Table

Status	Error	Program
	38.3b	(cbrt.f64 (pow.f64 (fma.f64 120 a (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) 3))
	0.2b	(fma.f64 a 120 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (/.f64 (-.f64 x y) (-.f64 z t)))))
	0.1b	(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))))
	0.4b	(fma.f64 a 120 (/.f64 (.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (cbrt.f64 60) (-.f64 x y))) (-.f64 z t)))
▶	0.1b	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))

Compiler

Compiled 5055 to 2211 computations (56.3% saved)

localize11.0ms (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))))
✓	1.0b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series120.0ms (2.1%)

Counts

3 → 156

Calls

3 calls:

45.0ms	(fma.f64 a 120 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))))
43.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
31.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

rewrite38.0ms (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))))

simplify201.0ms (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

prune266.0ms (4.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	309	5	314

Error

Counts

314 → 5

Alt Table

Status	Error	Program
	0.1b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))
	0.2b	(fma.f64 a 120 (/.f64 60 (*.f64 (-.f64 z t) (/.f64 1 (-.f64 x y)))))
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
	38.3b	(cbrt.f64 (pow.f64 (fma.f64 120 a (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) 3))
▶	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

Compiler

Compiled 8366 to 3431 computations (59% saved)

localize9.0ms (0.2%)

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 (1.6%)

Counts

3 → 132

Calls

3 calls:

45.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))
37.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
11.0ms	(/.f64 60 (-.f64 z t))

rewrite26.0ms (0.5%)

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:

9.0ms	(*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t)))
3.0ms	(/.f64 60 (-.f64 z t))
0.0ms	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

simplify127.0ms (2.2%)

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

prune125.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	174	5	179

Error

Counts

179 → 5

Alt Table

Status	Error	Program
	0.1b	(fma.f64 a 120 (.f64 (.f64 60 (-.f64 x y)) (/.f64 1 (-.f64 z t))))
	0.2b	(fma.f64 a 120 (/.f64 60 (*.f64 (-.f64 z t) (/.f64 1 (-.f64 x y)))))
✓	0.1b	(fma.f64 a 120 (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))))
	38.3b	(cbrt.f64 (pow.f64 (fma.f64 120 a (*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))) 3))
✓	0.1b	(fma.f64 a 120 (*.f64 (-.f64 x y) (/.f64 60 (-.f64 z t))))

Compiler

Compiled 4457 to 2245 computations (49.6% saved)

regimes817.0ms (14.1%)

Accuracy

Total 0.4b remaining (96.9%)

Threshold costs 0.4b (96.9%)

Counts

74 → 1

Compiler

Compiled 16634 to 11795 computations (29.1% 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

end86.0ms (1.5%)

Compiler: Compiled 126 to 91 computations (27.8% saved)

Details

analyze1.5s (25.3%)

sample1.3s (22.1%)

simplify118.0ms (2%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

series89.0ms (1.5%)

rewrite21.0ms (0.4%)

simplify156.0ms (2.7%)

prune226.0ms (3.9%)

localize8.0ms (0.1%)

series142.0ms (2.4%)

rewrite29.0ms (0.5%)

simplify169.0ms (2.9%)

prune158.0ms (2.7%)

localize11.0ms (0.2%)

series120.0ms (2.1%)

rewrite38.0ms (0.7%)

simplify201.0ms (3.5%)

prune266.0ms (4.6%)

localize9.0ms (0.2%)

series93.0ms (1.6%)

rewrite26.0ms (0.5%)

simplify127.0ms (2.2%)

prune125.0ms (2.2%)

regimes817.0ms (14.1%)

simplify3.0ms (0%)

end86.0ms (1.5%)

Profiling