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 (13.7%)

Symmetry

(sort alpha beta)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify214.0ms (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

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

2.1b

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))
▶	3.6b	(/.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))

▶

3.6b

(/.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)

localize11.0ms (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 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
✓	18.6b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

series244.0ms (2.5%)

Counts

4 → 96

Calls

4 calls:

128.0ms	(/.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)))
62.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
46.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
7.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

rewrite74.0ms (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:

20.0ms	(/.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)))
16.0ms	(.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)))
11.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

simplify619.0ms (6.4%)

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 → 351

Iterations

Useful iterations: 1 (0.0ms)

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

prune798.0ms (8.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	342	9	351
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	343	10	353

Error

0.0b

Counts

353 → 10

Alt Table

Status	Error	Program
	30.6b	(/.f64 (+.f64 1 alpha) (pow.f64 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)))
	28.5b	(/.f64 (.f64 (+.f64 alpha 1) (.f64 (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (+.f64 (.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 (.f64 2 2) (.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
	14.4b	(cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
	3.6b	(/.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)))
	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))
	11.3b	(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
	0.2b	(/.f64 (.f64 (+.f64 alpha 1) (.f64 (/.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)))
	0.2b	(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
	21.1b	(/.f64 (-.f64 (+.f64 (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 2 (/.f64 (.f64 alpha (.f64 beta beta)) (pow.f64 (+.f64 2 beta) 4)) (fma.f64 4 (/.f64 alpha (pow.f64 (+.f64 2 beta) 4)) (.f64 6 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 2 beta) 4)))))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 21572 to 14630 computations (32.2% saved)

localize13.0ms (0.1%)

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)))

series235.0ms (2.4%)

Counts

4 → 96

Calls

4 calls:

130.0ms	(/.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)))
65.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
20.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
19.0ms	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))

rewrite81.0ms (0.8%)

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:

26.0ms	(*.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))

simplify216.0ms (2.2%)

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

prune899.0ms (9.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	389	4	393
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	397	6	403

Error

0.0b

Counts

403 → 6

Alt Table

Status	Error	Program
	3.6b	(/.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))))
	1.2b	(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
	0.2b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
	14.4b	(cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
	3.6b	(/.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)))
▶	0.1b	(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 22519 to 15234 computations (32.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series247.0ms (2.6%)

Counts

4 → 96

Calls

4 calls:

136.0ms	(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
74.0ms	(*.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
20.0ms	(/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha)))
16.0ms	(/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))

rewrite156.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

442×	`*-un-lft-identity_binary64`
358×	`times-frac_binary64`
184×	`add-sqr-sqrt_binary64`
163×	`distribute-lft-out_binary64`
151×	`add-cube-cbrt_binary64`

Counts

4 → 380

Calls

4 calls:

44.0ms	(*.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
37.0ms	(/.f64 (*.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
11.0ms	(/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha)))
7.0ms	(/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))

simplify368.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-def_binary64`
329×	`+-commutative_binary64`
259×	`associate-+r+_binary64`
244×	`*-commutative_binary64`
205×	`associate-*r/_binary64`

Counts

476 → 553

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1091	21079
1	3684	19855
2	4997	19855
3	4960	19855

prune1.1s (11%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	552	1	553
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	554	5	559

Error

0.0b

Counts

559 → 5

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
	14.4b	(cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
	3.6b	(/.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)))
	1.1b	(/.f64 (.f64 1 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))))
	1.2b	(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 29126 to 19957 computations (31.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 (+.f64 alpha beta) 2))
✓	0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
✓	3.6b	(log.f64 (+.f64 beta 1))
✓	4.5b	(-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2)))

series216.0ms (2.2%)

Counts

4 → 84

Calls

4 calls:

175.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
24.0ms	(-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2)))
14.0ms	(log.f64 (+.f64 (+.f64 alpha beta) 2))
3.0ms	(log.f64 (+.f64 beta 1))

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
20×	`pow1_binary64`
18×	`log-prod_binary64`

Counts

4 → 124

Calls

4 calls:

22.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
9.0ms	(-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2)))
4.0ms	(log.f64 (+.f64 (+.f64 alpha beta) 2))
2.0ms	(log.f64 (+.f64 beta 1))

simplify169.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

866×	`fma-def_binary64`
282×	`+-commutative_binary64`
230×	`sub-neg_binary64`
208×	`associate-+r+_binary64`
201×	`*-commutative_binary64`

Counts

208 → 314

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	926	12544
1	3255	10967
2	5053	10967

prune583.0ms (6.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	313	1	314
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	314	5	319

Error

0.0b

Counts

319 → 5

Alt Table

Status	Error	Program
	11.2b	(/.f64 (.f64 (+.f64 1 alpha) (exp.f64 (log.f64 (+.f64 beta 1)))) (.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (exp.f64 (log.f64 (+.f64 (+.f64 alpha beta) 2))))))
	1.1b	(/.f64 (.f64 1 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha))))
✓	0.2b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (-.f64 (log.f64 (+.f64 beta 1)) (log.f64 (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
	3.6b	(/.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)))
	1.2b	(/.f64 (.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 19955 to 14043 computations (29.6% saved)

regimes1.9s (19.8%)

Accuracy

Total 0.1b remaining (67.6%)

Threshold costs 0.1b (67.6%)

Counts

440 → 1

Compiler

Compiled 46301 to 32510 computations (29.8% 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	18	41
1	26	41
2	25	41

end119.0ms (1.2%)

Remove: (sort alpha beta)
Compiler: Compiled 284 to 195 computations (31.3% saved)

Details

analyze3.0ms (0%)

sample1.3s (13.7%)

simplify214.0ms (2.2%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series244.0ms (2.5%)

rewrite74.0ms (0.8%)

simplify619.0ms (6.4%)

prune798.0ms (8.3%)

localize13.0ms (0.1%)

series235.0ms (2.4%)

rewrite81.0ms (0.8%)

simplify216.0ms (2.2%)

prune899.0ms (9.3%)

localize15.0ms (0.2%)

series247.0ms (2.6%)

rewrite156.0ms (1.6%)

simplify368.0ms (3.8%)

prune1.1s (11%)

localize17.0ms (0.2%)

series216.0ms (2.2%)

rewrite46.0ms (0.5%)

simplify169.0ms (1.8%)

prune583.0ms (6.1%)

regimes1.9s (19.8%)

simplify2.0ms (0%)

end119.0ms (1.2%)

Profiling