Details

analyze528.0ms (7.8%)

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
25%	74.9%	0.2%	5
25%	74.9%	0.2%	6
25%	74.9%	0.2%	7
37.4%	62.4%	0.2%	8
56.1%	43.7%	0.2%	9
56.1%	43.7%	0.2%	10
56.1%	43.7%	0.2%	11
65.5%	34.3%	0.2%	12
76.4%	23.4%	0.2%	13
76.4%	23.4%	0.2%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.4s (21.1%)

Infinites

5.3% of outputs are infinite.

Symmetry

(sort z t)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify134.0ms (2%)

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

prune3.0ms (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

0.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.5b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

Compiler

Compiled 45 to 30 computations (33.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
✓	6.5b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series241.0ms (3.6%)

Counts

2 → 84

Calls

2 calls:

225.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
15.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 89

Calls

2 calls:

14.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
13.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify172.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
589×	`associate-/l*_binary64`
505×	`associate-/r*_binary64`
195×	`fma-def_binary64`
134×	`*-commutative_binary64`

Counts

173 → 187

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	5989
1	1376	5678
2	5010	5678

prune310.0ms (4.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	184	4	188

Error

Counts

188 → 4

Alt Table

Status	Error	Program
	0.8b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
✓	0.5b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
	1.7b	(-.f64 1 (/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))))
▶	0.5b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))

Compiler

Compiled 6342 to 2591 computations (59.1% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
✓	0.9b	(/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x))
✓	6.2b	(/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)

series317.0ms (4.7%)

Counts

2 → 96

Calls

2 calls:

251.0ms	(/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x))
65.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
28×	`add-exp-log_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`

Counts

2 → 89

Calls

2 calls:

17.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)
15.0ms	(/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x))

simplify215.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

786×	`times-frac_binary64`
597×	`associate-/l*_binary64`
482×	`associate-/r*_binary64`
193×	`fma-def_binary64`
158×	`associate-/r/_binary64`

Counts

185 → 198

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	401	6774
1	1379	6393
2	5094	6393

prune504.0ms (7.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	290	4	294

Error

Counts

294 → 4

Alt Table

Status	Error	Program
▶	0.8b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
✓	0.5b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
	1.7b	(-.f64 1 (/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))))
✓	0.5b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))

Compiler

Compiled 8690 to 3609 computations (58.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 y z))
✓	2.6b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series284.0ms (4.2%)

Counts

2 → 72

Calls

2 calls:

254.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
30.0ms	(/.f64 x (-.f64 y z))

rewrite64.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64`
176×	`add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`distribute-lft-out--_binary64`

Counts

2 → 189

Calls

2 calls:

18.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
7.0ms	(/.f64 x (-.f64 y z))

simplify156.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

709×	`times-frac_binary64`
587×	`associate-/l*_binary64`
544×	`associate-/r*_binary64`
305×	`associate-/l/_binary64`
166×	`fma-def_binary64`

Counts

261 → 260

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	9298
1	1717	9038
2	5431	9038

prune175.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	260	0	260
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	260	4	264

Error

Counts

264 → 4

Alt Table

Status	Error	Program
✓	0.8b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
✓	0.5b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
▶	1.7b	(-.f64 1 (/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))))
✓	0.5b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))

Compiler

Compiled 8346 to 2947 computations (64.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 y t))
✓	0.9b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
✓	2.5b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

series198.0ms (2.9%)

Counts

3 → 120

Calls

3 calls:

148.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
29.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
21.0ms	(/.f64 x (-.f64 y t))

rewrite160.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

1260×	`times-frac_binary64`
844×	`*-un-lft-identity_binary64`
844×	`add-sqr-sqrt_binary64`
468×	`add-cube-cbrt_binary64`
188×	`distribute-lft-out--_binary64`

Counts

3 → 660

Calls

3 calls:

25.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
10.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
4.0ms	(/.f64 x (-.f64 y t))

simplify665.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

823×	`times-frac_binary64`
265×	`associate-/l/_binary64`
256×	`associate-/r/_binary64`
179×	`fma-def_binary64`
135×	`sub-neg_binary64`

Counts

780 → 745

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	25511
1	2170	25046
2	4988	25046

prune508.0ms (7.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	745	0	745
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	745	4	749

Error

Counts

749 → 4

Alt Table

Status	Error	Program
✓	0.8b	(-.f64 1 (/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t)))
✓	0.5b	(-.f64 1 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
✓	1.7b	(-.f64 1 (/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))))
✓	0.5b	(-.f64 1 (/.f64 1 (/.f64 (*.f64 (-.f64 y z) (-.f64 y t)) x)))

Compiler

Compiled 23007 to 7639 computations (66.8% saved)

regimes194.0ms (2.9%)

Accuracy

Total 0.6b remaining (98.2%)

Threshold costs 0.6b (98.2%)

Counts

33 → 1

Compiler

Compiled 4017 to 2595 computations (35.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	16
2	32	16
3	40	16
4	45	16
5	46	16
6	45	16

end363.0ms (5.4%)

Remove: (sort z t)
Compiler: Compiled 124 to 84 computations (32.3% saved)

Details

analyze528.0ms (7.8%)

sample1.4s (21.1%)

simplify134.0ms (2%)

prune3.0ms (0%)

localize13.0ms (0.2%)

series241.0ms (3.6%)

rewrite38.0ms (0.6%)

simplify172.0ms (2.6%)

prune310.0ms (4.6%)

localize16.0ms (0.2%)

series317.0ms (4.7%)

rewrite46.0ms (0.7%)

simplify215.0ms (3.2%)

prune504.0ms (7.5%)

localize9.0ms (0.1%)

series284.0ms (4.2%)

rewrite64.0ms (0.9%)

simplify156.0ms (2.3%)

prune175.0ms (2.6%)

localize11.0ms (0.2%)

series198.0ms (2.9%)

rewrite160.0ms (2.4%)

simplify665.0ms (9.8%)

prune508.0ms (7.5%)

regimes194.0ms (2.9%)

simplify3.0ms (0%)

end363.0ms (5.4%)

Profiling