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 (17.6%)

Symmetry

(sort alpha beta)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify210.0ms (2.6%)

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 (0.1%)

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)))

series276.0ms (3.5%)

Counts

4 → 96

Calls

4 calls:

143.0ms	(/.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)))
70.0ms	(.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)))
12.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

rewrite100.0ms (1.3%)

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:

35.0ms	(/.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)))
23.0ms	(.f64 (+.f64 alpha 1) (/.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))
13.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

simplify210.0ms (2.7%)

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

prune662.0ms (8.3%)

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
	7.9b	(/.f64 (.f64 (+.f64 alpha 1) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3))) (+.f64 alpha (+.f64 beta 3)))
	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)))))
▶	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)))
	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)))))
	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)))

Compiler

Compiled 21303 to 14442 computations (32.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series268.0ms (3.4%)

Counts

4 → 96

Calls

4 calls:

140.0ms	(/.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)))
87.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
20.0ms	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))
19.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

rewrite84.0ms (1.1%)

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:

27.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
20.0ms	(/.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)))
8.0ms	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))
7.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

simplify236.0ms (3%)

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 → 393

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1073	16270
1	3699	15449
2	4984	15449

prune648.0ms (8.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	390	3	393
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	393	6	399

Error

0.0b

Counts

399 → 6

Alt Table

Status	Error	Program
	11.2b	(/.f64 (.f64 (+.f64 1 alpha) (+.f64 beta 1)) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 2))))
	7.9b	(/.f64 (.f64 (+.f64 alpha 1) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3))) (+.f64 alpha (+.f64 beta 3)))
▶	0.2b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.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)))))
✓	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)))
	1.8b	(/.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))))

Compiler

Compiled 22462 to 15196 computations (32.3% saved)

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 2 (+.f64 beta alpha)))
	0.0b	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))
✓	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
✓	4.4b	(-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha))))

series227.0ms (2.9%)

Counts

3 → 72

Calls

3 calls:

185.0ms

(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))

27.0ms

(-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha))))

15.0ms

(log.f64 (+.f64 2 (+.f64 beta alpha)))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
12×	`add-cbrt-cube_binary64`

Counts

3 → 95

Calls

3 calls:

21.0ms

(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))

7.0ms

(-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha))))

4.0ms

(log.f64 (+.f64 2 (+.f64 beta alpha)))

simplify164.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-def_binary64`
271×	`+-commutative_binary64`
208×	`associate-+r+_binary64`
208×	`sub-neg_binary64`
197×	`*-commutative_binary64`

Counts

167 → 261

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	883	12063
1	3144	10401
2	5134	10401

prune620.0ms (7.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	347	1	348
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	348	6	354

Error

Counts

354 → 6

Alt Table

Status	Error	Program
	7.9b	(/.f64 (.f64 (+.f64 alpha 1) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3))) (+.f64 alpha (+.f64 beta 3)))
✓	0.2b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.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)))))
	2.0b	(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (log1p.f64 beta))) (.f64 (+.f64 alpha (+.f64 beta 3)) (exp.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))))))
✓	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)))
▶	1.8b	(/.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))))

Compiler

Compiled 21594 to 14674 computations (32% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
	0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
✓	0.0b	(*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))
✓	1.8b	(/.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))))

series186.0ms (2.3%)

Counts

3 → 72

Calls

3 calls:

149.0ms

(/.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))))

29.0ms

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

8.0ms

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

rewrite60.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
31×	`associate-r_binary64`
31×	`add-cbrt-cube_binary64`
31×	`add-exp-log_binary64`
24×	`distribute-lft-out_binary64`

Counts

3 → 126

Calls

3 calls:

21.0ms

(/.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))))

16.0ms

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

10.0ms

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

simplify149.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

684×	`fma-def_binary64`
451×	`distribute-rgt-in_binary64`
435×	`distribute-lft-in_binary64`
257×	`+-commutative_binary64`
202×	`associate-+r+_binary64`

Counts

198 → 271

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	823	10816
1	2941	10039
2	5648	10039

prune1.0s (13.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	358	6	364

Error

Counts

364 → 6

Alt Table

Status	Error	Program
	7.9b	(/.f64 (.f64 (+.f64 alpha 1) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3))) (+.f64 alpha (+.f64 beta 3)))
✓	0.2b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.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)))))
	2.0b	(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (log1p.f64 beta))) (.f64 (+.f64 alpha (+.f64 beta 3)) (exp.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))))))
✓	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)))
✓	1.8b	(/.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))))

Compiler

Compiled 19197 to 12800 computations (33.3% saved)

regimes990.0ms (12.5%)

Accuracy

Total 0.1b remaining (65.7%)

Threshold costs 0.1b (65.7%)

Counts

251 → 1

Compiler

Compiled 24590 to 17189 computations (30.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	24	37
2	23	37

end278.0ms (3.5%)

Compiler: Compiled 291 to 199 computations (31.6% saved)

Details

analyze3.0ms (0%)

sample1.4s (17.6%)

simplify210.0ms (2.6%)

prune4.0ms (0.1%)

localize12.0ms (0.1%)

series276.0ms (3.5%)

rewrite100.0ms (1.3%)

simplify210.0ms (2.7%)

prune662.0ms (8.3%)

localize14.0ms (0.2%)

series268.0ms (3.4%)

rewrite84.0ms (1.1%)

simplify236.0ms (3%)

prune648.0ms (8.2%)

localize46.0ms (0.6%)

series227.0ms (2.9%)

rewrite39.0ms (0.5%)

simplify164.0ms (2.1%)

prune620.0ms (7.8%)

localize12.0ms (0.2%)

series186.0ms (2.3%)

rewrite60.0ms (0.8%)

simplify149.0ms (1.9%)

prune1.0s (13.1%)

regimes990.0ms (12.5%)

simplify2.0ms (0%)

end278.0ms (3.5%)

Profiling