Details

analyze4.0ms (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 (13.1%)

Symmetry

(sort alpha beta)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify210.0ms (2.1%)

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

1.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	3.6b	(/.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))
▶	2.0b	(/.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

3.6b

(/.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))

▶

2.0b

(/.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)))
✓	17.1b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

series249.0ms (2.5%)

Counts

4 → 96

Calls

4 calls:

131.0ms	(/.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)))
64.0ms	(.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))

rewrite75.0ms (0.7%)

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)))
18.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
12.0ms	(/.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))

simplify195.0ms (1.9%)

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

prune1.2s (11.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	343	7	350
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	345	7	352

Error

0.0b

Counts

352 → 7

Alt Table

Status	Error	Program
	2.7b	(.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	2.0b	(/.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)))
	0.5b	(/.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 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
	31.5b	(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
	2.0b	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))))
	2.0b	(.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))

Compiler

Compiled 21231 to 14392 computations (32.2% saved)

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

series272.0ms (2.7%)

Counts

4 → 96

Calls

4 calls:

134.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
68.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))
48.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))
21.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

rewrite185.0ms (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 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))
28.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
17.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

simplify370.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

384×	`+-commutative_binary64`
304×	`associate-+r+_binary64`
291×	`*-commutative_binary64`
273×	`fma-def_binary64`
251×	`associate-*r/_binary64`

Counts

526 → 532

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1227	25024
1	4173	23877
2	4994	23877

prune1.1s (11.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	529	3	532
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	533	6	539

Error

0.0b

Counts

539 → 6

Alt Table

Status	Error	Program
	2.7b	(.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	0.2b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha))))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
	2.0b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 (+.f64 alpha beta) 2)))
	2.0b	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))))
▶	0.1b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
	2.0b	(.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))

Compiler

Compiled 30133 to 20149 computations (33.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series312.0ms (3.1%)

Counts

4 → 96

Calls

4 calls:

145.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
73.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (+.f64 alpha beta) 2)))
72.0ms	(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)
20.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))

rewrite278.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

958×	`*-un-lft-identity_binary64`
599×	`times-frac_binary64`
428×	`distribute-lft-out_binary64`
354×	`cbrt-prod_binary64`
311×	`associate-r_binary64`

Counts

4 → 523

Calls

4 calls:

74.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (+.f64 alpha beta) 2)))
42.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
11.0ms	(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)
11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))

simplify356.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

389×	`+-commutative_binary64`
337×	`*-commutative_binary64`
311×	`associate-+r+_binary64`
292×	`associate-*r/_binary64`
277×	`fma-def_binary64`

Counts

619 → 485

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1341	25225
1	4430	23960
2	4933	23960

prune946.0ms (9.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	484	1	485
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	485	6	491

Error

0.0b

Counts

491 → 6

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
	2.7b	(.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	2.0b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 (+.f64 alpha beta) 2)))
	2.0b	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))))
	2.0b	(.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))

Compiler

Compiled 29303 to 20173 computations (31.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series281.0ms (2.8%)

Counts

4 → 96

Calls

4 calls:

135.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
78.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) 2)))
48.0ms	(/.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) 2))
20.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))

rewrite222.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

878×	`*-un-lft-identity_binary64`
546×	`times-frac_binary64`
394×	`distribute-lft-out_binary64`
324×	`log-pow_binary64`
312×	`exp-prod_binary64`

Counts

4 → 459

Calls

4 calls:

45.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) 2)))
29.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
18.0ms	(/.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) 2))
14.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))

simplify357.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

383×	`+-commutative_binary64`
305×	`associate-+r+_binary64`
297×	`*-commutative_binary64`
271×	`fma-def_binary64`
253×	`associate-*r/_binary64`

Counts

555 → 551

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1287	26729
1	4128	24823
2	4950	24823

prune982.0ms (9.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	551	0	551
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	551	6	557

Error

0.0b

Counts

557 → 6

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
✓	0.1b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
	2.7b	(.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
	2.0b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 (+.f64 alpha beta) 2)))
	2.0b	(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))))
	2.0b	(.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))

Compiler

Compiled 31626 to 21352 computations (32.5% saved)

regimes778.0ms (7.7%)

Accuracy

Total 0.1b remaining (68.2%)

Threshold costs 0.1b (68.2%)

Counts

193 → 1

Compiler

Compiled 18635 to 13016 computations (30.2% saved)

simplify7.0ms (0.1%)

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	19	41
1	27	41
2	26	41

end321.0ms (3.2%)

Compiler: Compiled 293 to 202 computations (31.1% saved)

Details

analyze4.0ms (0%)

sample1.3s (13.1%)

simplify210.0ms (2.1%)

prune5.0ms (0%)

localize12.0ms (0.1%)

series249.0ms (2.5%)

rewrite75.0ms (0.7%)

simplify195.0ms (1.9%)

prune1.2s (11.7%)

localize11.0ms (0.1%)

series272.0ms (2.7%)

rewrite185.0ms (1.8%)

simplify370.0ms (3.7%)

prune1.1s (11.1%)

localize17.0ms (0.2%)

series312.0ms (3.1%)

rewrite278.0ms (2.8%)

simplify356.0ms (3.5%)

prune946.0ms (9.4%)

localize15.0ms (0.2%)

series281.0ms (2.8%)

rewrite222.0ms (2.2%)

simplify357.0ms (3.5%)

prune982.0ms (9.7%)

regimes778.0ms (7.7%)

simplify7.0ms (0.1%)

end321.0ms (3.2%)

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