Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
42.1%	14%	43.8%	3
42.1%	14%	43.8%	4
52.7%	3.5%	43.8%	5
56.2%	0%	43.8%	6

Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.3s (14.3%)

Symmetry

(sort alpha beta)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify211.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1227×	`associate-/l*_binary64`
689×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
481×	`associate-/l/_binary64`
450×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	36	38
2	114	38
3	468	37
4	2359	37
5	2330	37
6	2458	37
7	2717	37
8	3067	37
9	3038	37
10	3136	37
11	3263	37
12	3406	37
13	3706	37
14	4273	37
15	4084	37
16	4107	37
17	4114	37
18	4121	37
19	4128	37
20	4135	37
21	4142	37
22	4149	37
23	4156	37
24	5226	37

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

2.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.1b	(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 alpha beta) (.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 1)) 1))
▶	3.8b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))

Status

Error

Program

4.1b

(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))

▶

3.8b

(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 190 to 123 computations (35.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
✓	0.1b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
✓	0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
✓	21.4b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

series269.0ms (2.8%)

Counts

4 → 96

Calls

4 calls:

142.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
68.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
50.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
9.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

rewrite80.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64`
34×	`distribute-lft-out_binary64`
34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
24×	`flip-+_binary64`

Counts

4 → 166

Calls

4 calls:

22.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
19.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
13.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
12.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

simplify196.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

363×	`+-commutative_binary64`
342×	`distribute-rgt-in_binary64`
291×	`associate-+r+_binary64`
266×	`fma-def_binary64`
257×	`*-commutative_binary64`

Counts

262 → 350

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1061	15235
1	3719	14320
2	5141	14320

prune709.0ms (7.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	342	8	350
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	344	8	352

Error

0.0b

Counts

352 → 8

Alt Table

Status	Error	Program
	31.2b	(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
	1.8b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 alpha (+.f64 beta 3)))
	0.4b	(/.f64 (.f64 (+.f64 alpha 1) (.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 beta 1)) (cbrt.f64 (+.f64 beta 1))) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
▶	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
	0.2b	(/.f64 (.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
	3.8b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (fma.f64 4 beta (+.f64 (.f64 alpha alpha) (+.f64 4 (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 (*.f64 2 beta) 4)))))))) (+.f64 alpha (+.f64 beta 3)))
	11.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
	5.0b	(exp.f64 (log.f64 (/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))))

Compiler

Compiled 21303 to 14444 computations (32.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
✓	0.0b	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))
✓	0.0b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
✓	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))

series271.0ms (2.9%)

Counts

4 → 96

Calls

4 calls:

143.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
74.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
27.0ms	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))
26.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

rewrite130.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

192×	`*-un-lft-identity_binary64`
89×	`times-frac_binary64`
82×	`distribute-lft-out_binary64`
60×	`add-sqr-sqrt_binary64`
48×	`add-cube-cbrt_binary64`

Counts

4 → 210

Calls

4 calls:

50.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
42.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
9.0ms	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))
8.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

simplify227.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

940×	`fma-def_binary64`
340×	`+-commutative_binary64`
271×	`associate-+r+_binary64`
244×	`*-commutative_binary64`
216×	`sub-neg_binary64`

Counts

306 → 392

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1073	16270
1	3696	15449
2	4984	15449

prune1.2s (12.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	388	4	392
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	394	6	400

Error

Counts

400 → 6

Alt Table

Status	Error	Program
	0.8b	(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	1.8b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 alpha (+.f64 beta 3)))
▶	0.1b	(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 3)))
	11.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
	3.8b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))))
	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 22420 to 15170 computations (32.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
✓	0.0b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))
✓	0.1b	(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))))
✓	0.1b	(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 3)))

series317.0ms (3.4%)

Counts

4 → 96

Calls

4 calls:

166.0ms	(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 3)))
75.0ms	(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))))
53.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))
22.0ms	(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))

rewrite171.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

826×	`*-un-lft-identity_binary64`
508×	`times-frac_binary64`
374×	`distribute-lft-out_binary64`
191×	`add-sqr-sqrt_binary64`
182×	`add-cube-cbrt_binary64`

Counts

4 → 430

Calls

4 calls:

41.0ms	(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))))
28.0ms	(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 3)))
16.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))
7.0ms	(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))

simplify368.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

384×	`+-commutative_binary64`
305×	`associate-+r+_binary64`
291×	`*-commutative_binary64`
271×	`fma-def_binary64`
251×	`associate-*r/_binary64`

Counts

526 → 454

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1226	25032
1	4184	23885
2	5037	23885

prune826.0ms (8.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	454	0	454
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	454	6	460

Error

Counts

460 → 6

Alt Table

Status	Error	Program
	0.8b	(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	1.8b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 3)))
	11.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
	3.8b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))))
▶	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 26867 to 18094 computations (32.7% saved)

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)))
✓	0.1b	(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)
✓	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 alpha (+.f64 beta 3)))
✓	0.5b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))

series362.0ms (3.8%)

Counts

4 → 96

Calls

4 calls:

149.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 alpha (+.f64 beta 3)))
97.0ms	(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)
94.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)))
22.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))

rewrite153.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

300×	`*-un-lft-identity_binary64`
156×	`times-frac_binary64`
128×	`cbrt-prod_binary64`
125×	`distribute-lft-out_binary64`
117×	`add-sqr-sqrt_binary64`

Counts

4 → 297

Calls

4 calls:

50.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)))
40.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 alpha (+.f64 beta 3)))
12.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)

simplify294.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

387×	`+-commutative_binary64`
312×	`associate-+r+_binary64`
300×	`*-commutative_binary64`
276×	`fma-def_binary64`
217×	`associate-*r/_binary64`

Counts

393 → 410

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1240	20132
1	4212	19377
2	4933	19377

prune853.0ms (9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	410	0	410
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	410	6	416

Error

Counts

416 → 6

Alt Table

Status	Error	Program
	0.8b	(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	1.8b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 3)))
	11.0b	(/.f64 (.f64 (+.f64 alpha 1) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
	3.8b	(/.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))))
✓	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 24865 to 17275 computations (30.5% saved)

regimes1.1s (11.6%)

Accuracy

Total 0.1b remaining (77.2%)

Threshold costs 0.1b (77.2%)

Counts

238 → 1

Compiler

Compiled 25889 to 18647 computations (28% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	25	37
2	24	37

end269.0ms (2.9%)

Compiler: Compiled 287 to 195 computations (32.1% saved)

Details

analyze3.0ms (0%)

sample1.3s (14.3%)

simplify211.0ms (2.2%)

prune5.0ms (0%)

localize12.0ms (0.1%)

series269.0ms (2.8%)

rewrite80.0ms (0.9%)

simplify196.0ms (2.1%)

prune709.0ms (7.5%)

localize13.0ms (0.1%)

series271.0ms (2.9%)

rewrite130.0ms (1.4%)

simplify227.0ms (2.4%)

prune1.2s (12.6%)

localize13.0ms (0.1%)

series317.0ms (3.4%)

rewrite171.0ms (1.8%)

simplify368.0ms (3.9%)

prune826.0ms (8.8%)

localize46.0ms (0.5%)

series362.0ms (3.8%)

rewrite153.0ms (1.6%)

simplify294.0ms (3.1%)

prune853.0ms (9%)

regimes1.1s (11.6%)

simplify2.0ms (0%)

end269.0ms (2.9%)

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