Details

analyze598.0ms (9.1%)

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample76.0ms (1.2%)

Algorithm

1×

intervals

Symmetry

(sort z t)

Results

11.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify121.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1226×	`div-sub_binary64`
778×	`fma-def_binary64`
701×	`unsub-neg_binary64`
456×	`sub-neg_binary64`
437×	`fma-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	22	16
2	50	16
3	121	16
4	299	16
5	674	16
6	1361	16
7	2742	16
8	3706	16
9	3871	16
10	4083	16
11	4304	16
12	4387	16
13	5424	16

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	1.1b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

Compiler

Compiled 45 to 30 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
✓	7.4b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series351.0ms (5.4%)

Counts

3 → 132

Calls

3 calls:

246.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
94.0ms	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
11.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`prod-diff_binary64`
54×	`add-sqr-sqrt_binary64`
52×	`*-un-lft-identity_binary64`
45×	`add-cube-cbrt_binary64`
40×	`associate-/r/_binary64`

Counts

3 → 168

Calls

3 calls:

9.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
8.0ms	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
8.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify187.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

787×	`times-frac_binary64`
279×	`fma-def_binary64`
192×	`distribute-rgt-in_binary64`
175×	`distribute-lft-in_binary64`
165×	`sub-neg_binary64`

Counts

300 → 344

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	627	13333
1	1955	11667
2	5135	11667

prune338.0ms (5.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	341	3	344
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	341	4	345

Error

Counts

345 → 4

Alt Table

Status	Error	Program
✓	1.1b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
▶	1.1b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))
	1.3b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
	1.2b	(-.f64 1 (/.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (cbrt.f64 (-.f64 y z)) (-.f64 y t)))))

Compiler

Compiled 13917 to 4974 computations (64.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))
	0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
✓	0.3b	(/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x))
✓	7.4b	(/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)

series262.0ms (4%)

Counts

3 → 144

Calls

3 calls:

125.0ms	(/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x))
106.0ms	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))
30.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)

rewrite56.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

160×	`times-frac_binary64`
115×	`add-sqr-sqrt_binary64`
112×	`*-un-lft-identity_binary64`
104×	`add-cube-cbrt_binary64`
78×	`prod-diff_binary64`

Counts

3 → 217

Calls

3 calls:

12.0ms	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))
8.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)
7.0ms	(/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x))

simplify233.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

788×	`times-frac_binary64`
618×	`associate-/l*_binary64`
246×	`fma-def_binary64`
172×	`associate-/r/_binary64`
159×	`sub-neg_binary64`

Counts

361 → 390

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	546	16926
1	1780	14143
2	5334	14143

prune428.0ms (6.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	480	1	481
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	482	3	485

Error

Counts

485 → 3

Alt Table

Status	Error	Program
✓	1.1b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
▶	1.1b	(-.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))))
	1.3b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))

Compiler

Compiled 18616 to 7681 computations (58.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))))
✓	0.0b	(/.f64 (-.f64 y t) x)
✓	0.3b	(/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x)))
✓	1.8b	(*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))

series283.0ms (4.3%)

Counts

4 → 172

Calls

4 calls:

133.0ms	(/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x)))
99.0ms	(-.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))))
32.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))
18.0ms	(/.f64 (-.f64 y t) x)

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64`
67×	`*-un-lft-identity_binary64`
47×	`add-cube-cbrt_binary64`
46×	`times-frac_binary64`
36×	`prod-diff_binary64`

Counts

4 → 193

Calls

4 calls:

9.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))
9.0ms	(/.f64 (-.f64 y t) x)
8.0ms	(/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x)))
7.0ms	(-.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))))

simplify198.0ms (3%)

Algorithm

1×	egg-herbie

Rules

693×	`times-frac_binary64`
591×	`associate-/l*_binary64`
238×	`fma-def_binary64`
166×	`sub-neg_binary64`
141×	`*-commutative_binary64`

Counts

365 → 362

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	593	13020
1	1886	11574
2	5242	11574

prune285.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	362	3	365

Error

Counts

365 → 3

Alt Table

Status	Error	Program
✓	1.1b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	1.1b	(-.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))))
▶	1.3b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))

Compiler

Compiled 12951 to 5369 computations (58.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
✓	0.0b	(/.f64 1 (-.f64 y z))
✓	0.0b	(/.f64 x (-.f64 y t))
✓	2.1b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

series262.0ms (4%)

Counts

4 → 144

Calls

4 calls:

129.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
103.0ms	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
16.0ms	(/.f64 x (-.f64 y t))
13.0ms	(/.f64 1 (-.f64 y z))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64`
74×	`*-un-lft-identity_binary64`
67×	`times-frac_binary64`
44×	`add-cube-cbrt_binary64`
32×	`add-exp-log_binary64`

Counts

4 → 176

Calls

4 calls:

17.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
4.0ms	(/.f64 1 (-.f64 y z))
4.0ms	(/.f64 x (-.f64 y t))
3.0ms	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))

simplify161.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac_binary64`
673×	`associate-/l*_binary64`
201×	`fma-def_binary64`
144×	`+-commutative_binary64`
134×	`sub-neg_binary64`

Counts

320 → 347

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	562	10380
1	1775	9909
2	5077	9909

prune519.0ms (7.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	347	0	347
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	347	3	350

Error

Counts

350 → 3

Alt Table

Status	Error	Program
✓	1.1b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	1.1b	(-.f64 1 (/.f64 1 (*.f64 (-.f64 y z) (/.f64 (-.f64 y t) x))))
✓	1.3b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))

Compiler

Compiled 11281 to 4898 computations (56.6% saved)

regimes994.0ms (15.2%)

Accuracy

Total 0.7b remaining (97.6%)

Threshold costs 0.7b (97.6%)

Counts

60 → 1

Compiler

Compiled 10156 to 6453 computations (36.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`*-commutative_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	26	28
2	43	28
3	59	28
4	69	28
5	73	28
6	74	28
7	73	28

end7.0ms (0.1%)

Compiler: Compiled 66 to 39 computations (40.9% saved)

sample1.0s (15.4%)

Algorithm

1×

intervals

Results

441.0ms	8000×	body	128	valid
18.0ms	410×	body	128	invalid

Compiler

Compiled 91 to 62 computations (31.9% saved)

Details

analyze598.0ms (9.1%)

sample76.0ms (1.2%)

simplify121.0ms (1.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series351.0ms (5.4%)

rewrite50.0ms (0.8%)

simplify187.0ms (2.8%)

prune338.0ms (5.2%)

localize8.0ms (0.1%)

series262.0ms (4%)

rewrite56.0ms (0.9%)

simplify233.0ms (3.6%)

prune428.0ms (6.5%)

localize10.0ms (0.2%)

series283.0ms (4.3%)

rewrite49.0ms (0.7%)

simplify198.0ms (3%)

prune285.0ms (4.4%)

localize8.0ms (0.1%)

series262.0ms (4%)

rewrite43.0ms (0.7%)

simplify161.0ms (2.5%)

prune519.0ms (7.9%)

regimes994.0ms (15.2%)

simplify4.0ms (0.1%)

end7.0ms (0.1%)

sample1.0s (15.4%)

Profiling