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)

sample1.4s (13.2%)

Symmetry

(sort alpha beta)

Results

1.3s

8256×

body

128

valid

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify212.0ms (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

prune4.0ms (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

1.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.4b	(/.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))
▶	1.8b	(/.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

4.4b

(/.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))

▶

1.8b

(/.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)))
✓	15.6b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

series292.0ms (2.7%)

Counts

4 → 96

Calls

4 calls:

150.0ms	(/.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)))
79.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
54.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
8.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

rewrite84.0ms (0.8%)

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:

21.0ms	(/.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)))
20.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
16.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
13.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

simplify212.0ms (2%)

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

prune741.0ms (7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	344	6	350
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	346	6	352

Error

0.0b

Counts

352 → 6

Alt Table

Status	Error	Program
	33.4b	(-.f64 (fma.f64 51 (/.f64 alpha (pow.f64 beta 4)) (+.f64 (/.f64 alpha (.f64 beta beta)) (fma.f64 31 (/.f64 (.f64 alpha alpha) (pow.f64 beta 4)) (+.f64 (/.f64 1 (.f64 beta beta)) (fma.f64 6 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 4)) (/.f64 26 (pow.f64 beta 4))))))) (fma.f64 9 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 3 (/.f64 (.f64 alpha alpha) (pow.f64 beta 3)) (/.f64 6 (pow.f64 beta 3)))))
	2.5b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	2.0b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (fma.f64 4 beta (+.f64 4 (+.f64 (.f64 beta beta) (.f64 alpha (+.f64 (.f64 2 beta) 4))))))) (+.f64 alpha (+.f64 beta 3)))
	11.7b	(/.f64 (.f64 (-.f64 (.f64 alpha alpha) (.f64 1 1)) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 3)) (.f64 (-.f64 alpha 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))))
▶	0.1b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 alpha (+.f64 beta 3)))
	7.9b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 3)) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 21307 to 14446 computations (32.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series293.0ms (2.8%)

Counts

4 → 96

Calls

4 calls:

158.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 alpha (+.f64 beta 3)))
94.0ms	(*.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
22.0ms	(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))
19.0ms	(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))

rewrite360.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

1679×	`*-un-lft-identity_binary64`
1382×	`times-frac_binary64`
700×	`distribute-lft-out_binary64`
495×	`add-sqr-sqrt_binary64`
472×	`add-cube-cbrt_binary64`

Counts

4 → 726

Calls

4 calls:

104.0ms	(*.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
51.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 alpha (+.f64 beta 3)))
17.0ms	(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
8.0ms	(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))

simplify463.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

364×	`distribute-rgt-in_binary64`
352×	`+-commutative_binary64`
279×	`*-commutative_binary64`
276×	`associate-+r+_binary64`
235×	`associate-*r/_binary64`

Counts

822 → 750

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1248	31404
1	4021	30193
2	5469	30193

prune1.2s (11.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	747	3	750
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	751	5	756

Error

0.0b

Counts

756 → 5

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	2.5b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	7.9b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 3)) (+.f64 alpha (+.f64 beta 3)))
	1.8b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
	0.2b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 40464 to 27175 computations (32.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series258.0ms (2.4%)

Counts

4 → 96

Calls

4 calls:

151.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
75.0ms	(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha))))))
17.0ms	(.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha))))
13.0ms	(*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha)))

rewrite124.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

197×	`add-exp-log_binary64`
105×	`prod-exp_binary64`
65×	`add-cbrt-cube_binary64`
60×	`div-exp_binary64`
48×	`*-un-lft-identity_binary64`

Counts

4 → 224

Calls

4 calls:

35.0ms	(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha))))))
28.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
18.0ms	(.f64 (+.f64 2 (+.f64 alpha beta)) (.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha))))
13.0ms	(*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha)))

simplify245.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

459×	`distribute-rgt-in_binary64`
346×	`+-commutative_binary64`
295×	`*-commutative_binary64`
264×	`associate-+r+_binary64`
224×	`fma-def_binary64`

Counts

320 → 447

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1118	16416
1	3674	15248
2	5288	15248

prune1.2s (11.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	445	2	447
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	447	5	452

Error

0.0b

Counts

452 → 5

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	2.5b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	1.8b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
	6.5b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 beta 1)))) 3)) (+.f64 alpha (+.f64 beta 3)))
▶	0.2b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 24598 to 16703 computations (32.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))))
✓	0.1b	(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))))))
✓	0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))))) (+.f64 alpha (+.f64 beta 3)))
✓	4.4b	(-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))

series1.1s (10.6%)

Counts

4 → 96

Calls

4 calls:

576.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))))) (+.f64 alpha (+.f64 beta 3)))
302.0ms	(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))))))
222.0ms	(*.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))))
25.0ms	(-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))

rewrite102.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64`
46×	`add-exp-log_binary64`
36×	`associate-r_binary64`
36×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`

Counts

4 → 178

Calls

4 calls:

29.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))))) (+.f64 alpha (+.f64 beta 3)))
25.0ms	(.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))))))
20.0ms	(*.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))))
8.0ms	(-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta))

simplify240.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-+r+_binary64`
448×	`fma-def_binary64`
325×	`associate-*r/_binary64`
211×	`associate-/l*_binary64`
197×	`associate-/r*_binary64`

Counts

274 → 390

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1779	22517
1	5048	22517

prune852.0ms (8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	390	0	390
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	390	5	395

Error

0.0b

Counts

395 → 5

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 1 (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
	2.5b	(.f64 (/.f64 (+.f64 alpha 1) (.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	1.8b	(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
	6.5b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 beta 1)))) 3)) (+.f64 alpha (+.f64 beta 3)))
✓	0.2b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 1 (.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 32667 to 22600 computations (30.8% saved)

regimes1.0s (9.8%)

Accuracy

Total -0.1b remaining (-116%)

Threshold costs -0.1b (-116%)

Counts

276 → 1

Compiler

Compiled 27191 to 19049 computations (29.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	25	37
2	24	37

end126.0ms (1.2%)

Remove: (sort alpha beta)
Compiler: Compiled 268 to 184 computations (31.3% saved)

Details

analyze3.0ms (0%)

sample1.4s (13.2%)

simplify212.0ms (2%)

prune4.0ms (0%)

localize12.0ms (0.1%)

series292.0ms (2.7%)

rewrite84.0ms (0.8%)

simplify212.0ms (2%)

prune741.0ms (7%)

localize13.0ms (0.1%)

series293.0ms (2.8%)

rewrite360.0ms (3.4%)

simplify463.0ms (4.4%)

prune1.2s (11.4%)

localize16.0ms (0.1%)

series258.0ms (2.4%)

rewrite124.0ms (1.2%)

simplify245.0ms (2.3%)

prune1.2s (11.1%)

localize17.0ms (0.2%)

series1.1s (10.6%)

rewrite102.0ms (1%)

simplify240.0ms (2.3%)

prune852.0ms (8%)

regimes1.0s (9.8%)

simplify2.0ms (0%)

end126.0ms (1.2%)

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