Details

analyze599.0ms (9.7%)

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)

sample79.0ms (1.3%)

Algorithm

1×

intervals

Symmetry

(sort z t)

Results

11.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify119.0ms (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))
✓	9.8b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series233.0ms (3.8%)

Counts

3 → 132

Calls

3 calls:

130.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
92.0ms	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

rewrite55.0ms (0.9%)

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:

11.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
11.0ms	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
9.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify194.0ms (3.1%)

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

prune322.0ms (5.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	339	5	344
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	339	6	345

Error

Counts

345 → 6

Alt Table

Status	Error	Program
	6.8b	(-.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 (-.f64 y t) (-.f64 y z))) 3)))
✓	1.1b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
▶	0.6b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
	1.1b	(-.f64 1 (.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t)))))
	1.1b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))
	0.8b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))

Compiler

Compiled 13965 to 5018 computations (64.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
✓	0.0b	(/.f64 x (-.f64 y z))
✓	1.0b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series246.0ms (4%)

Counts

3 → 120

Calls

3 calls:

136.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
89.0ms	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
20.0ms	(/.f64 x (-.f64 y z))

rewrite193.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

936×	`times-frac_binary64`
860×	`add-sqr-sqrt_binary64`
850×	`*-un-lft-identity_binary64`
469×	`add-cube-cbrt_binary64`
333×	`prod-diff_binary64`

Counts

3 → 656

Calls

3 calls:

36.0ms	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
9.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
4.0ms	(/.f64 x (-.f64 y z))

simplify723.0ms (11.7%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
423×	`fma-def_binary64`
233×	`*-commutative_binary64`
221×	`neg-mul-1_binary64`
219×	`neg-sub0_binary64`

Counts

776 → 776

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1142	53032
1	3796	51855
2	5232	51855

prune600.0ms (9.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	775	1	776
Fresh	1	3	4
Picked	1	0	1
Done	1	0	1
Total	778	4	782

Error

Counts

782 → 4

Alt Table

Status	Error	Program
	1.1b	(-.f64 1 (.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t)))))
	1.1b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))
	0.8b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
▶	0.6b	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))

Compiler

Compiled 40558 to 9278 computations (77.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))
✓	0.0b	(/.f64 1 (-.f64 y t))
	0.0b	(/.f64 x (-.f64 y z))
✓	1.0b	(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t)))

series233.0ms (3.8%)

Counts

3 → 120

Calls

3 calls:

128.0ms	(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t)))
96.0ms	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))
8.0ms	(/.f64 1 (-.f64 y t))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`add-sqr-sqrt_binary64`
55×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
29×	`add-exp-log_binary64`

Counts

3 → 138

Calls

3 calls:

14.0ms	(*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t)))
5.0ms	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))
4.0ms	(/.f64 1 (-.f64 y t))

simplify136.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

821×	`times-frac_binary64`
623×	`associate-/l*_binary64`
474×	`associate-/r*_binary64`
198×	`fma-def_binary64`
134×	`+-commutative_binary64`

Counts

258 → 293

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	513	9189
1	1657	8724
2	5241	8724

prune286.0ms (4.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	346	0	346
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	346	4	350

Error

Counts

350 → 4

Alt Table

Status	Error	Program
	1.1b	(-.f64 1 (.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t)))))
	1.1b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))
▶	0.8b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
✓	0.6b	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))

Compiler

Compiled 11315 to 4912 computations (56.6% saved)

localize12.0ms (0.2%)

Local error

Found 3 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 x (-.f64 y t))
✓	2.0b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

series241.0ms (3.9%)

Counts

3 → 120

Calls

3 calls:

126.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
94.0ms	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
20.0ms	(/.f64 x (-.f64 y t))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`add-sqr-sqrt_binary64`
55×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
27×	`add-exp-log_binary64`

Counts

3 → 133

Calls

3 calls:

18.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
4.0ms	(/.f64 x (-.f64 y t))
3.0ms	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))

simplify133.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

852×	`times-frac_binary64`
672×	`associate-/l*_binary64`
496×	`associate-/r*_binary64`
199×	`fma-def_binary64`
134×	`+-commutative_binary64`

Counts

253 → 291

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	9396
1	1697	8955
2	5586	8955

prune264.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	291	4	295

Error

Counts

295 → 4

Alt Table

Status	Error	Program
	1.1b	(-.f64 1 (.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t)))))
	1.1b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))
✓	0.8b	(-.f64 1 (*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t))))
✓	0.6b	(-.f64 1 (*.f64 (/.f64 x (-.f64 y z)) (/.f64 1 (-.f64 y t))))

Compiler

Compiled 10151 to 4388 computations (56.8% saved)

regimes410.0ms (6.6%)

Accuracy

Total 0.7b remaining (98.2%)

Threshold costs 0.7b (98.2%)

Counts

51 → 1

Compiler

Compiled 6540 to 4159 computations (36.4% 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

end6.0ms (0.1%)

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

sample986.0ms (16%)

Algorithm

1×

intervals

Results

379.0ms	8000×	body	128	valid
18.0ms	420×	body	128	invalid

Compiler

Compiled 110 to 76 computations (30.9% saved)

Details

analyze599.0ms (9.7%)

sample79.0ms (1.3%)

simplify119.0ms (1.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series233.0ms (3.8%)

rewrite55.0ms (0.9%)

simplify194.0ms (3.1%)

prune322.0ms (5.2%)

localize7.0ms (0.1%)

series246.0ms (4%)

rewrite193.0ms (3.1%)

simplify723.0ms (11.7%)

prune600.0ms (9.7%)

localize11.0ms (0.2%)

series233.0ms (3.8%)

rewrite32.0ms (0.5%)

simplify136.0ms (2.2%)

prune286.0ms (4.6%)

localize12.0ms (0.2%)

series241.0ms (3.9%)

rewrite37.0ms (0.6%)

simplify133.0ms (2.2%)

prune264.0ms (4.3%)

regimes410.0ms (6.6%)

simplify4.0ms (0.1%)

end6.0ms (0.1%)

sample986.0ms (16%)

Profiling