Details

analyze115.0ms (1.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	14%	86%	0
0%	14%	86%	1
0%	14%	86%	2
0%	14%	86%	3
0%	14%	86%	4
0%	14%	86%	5
0%	14%	86%	6
8.1%	5.9%	86%	7
10.3%	3.7%	86%	8
12.6%	1.5%	86%	9
13.9%	0.1%	86%	10
14%	0%	86%	11
14%	0%	86%	12
14%	0%	86%	13
14%	0%	86%	14

Compiler

Compiled 66 to 34 computations (48.5% saved)

sample55.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 125 to 64 computations (48.8% saved)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-+l+_binary64`
492×	`associate-l_binary64`
422×	`associate-r_binary64`
369×	`times-frac_binary64`
336×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	65	79
2	280	79
3	1518	79
4	4862	79
5	5395	79

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

54.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	54.5b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))

Status

Error

Program

▶

54.5b

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

Compiler

Compiled 168 to 81 computations (51.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
37.7b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
46.5b	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

rewrite794.0ms (10.1%)

Algorithm

1×	rewrite-expression-head

Error

39.4b

Rules

86×	`times-frac_binary64`
66×	`associate-/r/_binary64`
66×	`flip-+_binary64`
66×	`flip3-+_binary64`
61×	`add-cbrt-cube_binary64`

Counts

4 → 228

Calls

4 calls:

38.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
27.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
13.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
11.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))

Compiler

Compiled 17676 to 6571 computations (62.8% saved)

series2.0s (25.9%)

Error

12.6b

Counts

4 → 82

Calls

4 calls:

1.3s	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (-.f64 (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) 1))
371.0ms	(/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
158.0ms	(.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i))))
54.0ms	(.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 22212 to 14908 computations (32.9% saved)

simplify856.0ms (10.9%)

Algorithm

1×	egg-herbie

Rules

508×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
212×	`*-commutative_binary64`
175×	`+-commutative_binary64`
137×	`associate-/l*_binary64`

Counts

310 → 293

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	816	26194
1	2811	24392
2	5623	24392

prune223.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	286	7	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	7	294

Error

13.7b

Counts

294 → 7

Alt Table

Status	Error	Program
	55.7b	(/.f64 (.f64 i (.f64 (.f64 i (+.f64 i beta)) (+.f64 i beta))) (.f64 (pow.f64 (+.f64 beta (.f64 i 2)) 2) (+.f64 (+.f64 (.f64 beta beta) (.f64 4 (.f64 i (+.f64 i beta)))) -1)))
	39.5b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 i 2))))) (/.f64 (/.f64 (+.f64 (.f64 beta alpha) (.f64 i (+.f64 i (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) 1)))
	53.7b	(/.f64 i (/.f64 (*.f64 beta beta) (+.f64 i alpha)))
	63.0b	(/.f64 i (/.f64 (*.f64 alpha alpha) (+.f64 i beta)))
	54.5b	(.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (/.f64 1 (-.f64 (.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) (+.f64 alpha (+.f64 beta (*.f64 i 2)))) 1)))
	42.1b	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (/.f64 (/.f64 (+.f64 (.f64 beta alpha) (.f64 i (+.f64 i (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (-.f64 (.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) (+.f64 alpha (+.f64 beta (*.f64 i 2)))) 1)))
▶	26.3b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (/.f64 (.f64 beta beta) (.f64 i i)) (/.f64 (.f64 alpha alpha) (.f64 i i)))))

Compiler

Compiled 16148 to 7170 computations (55.6% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.6b	(/.f64 1/64 (*.f64 i i))
4.5b	(/.f64 (.f64 alpha alpha) (.f64 i i))
19.8b	(/.f64 (.f64 beta beta) (.f64 i i))

rewrite89.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

10.6b

Rules

32×	`add-cbrt-cube_binary64`
32×	`add-exp-log_binary64`
10×	`cbrt-undiv_binary64`
10×	`div-exp_binary64`
9×	`cbrt-unprod_binary64`

Counts

3 → 63

Calls

3 calls:

7.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
6.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
4.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 1948 to 675 computations (65.3% saved)

series48.0ms (0.6%)

Error

13.7b

Counts

3 → 15

Calls

3 calls:

19.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
19.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
7.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 918 to 608 computations (33.8% saved)

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

691×	`associate-/l*_binary64`
488×	`unswap-sqr_binary64`
465×	`associate-*l/_binary64`
360×	`associate-/r*_binary64`
318×	`associate-l_binary64`

Counts

78 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1122
1	247	809
2	854	750
3	3283	704
4	4150	704
5	5097	704

prune27.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Error

10.8b

Counts

61 → 6

Alt Table

Status	Error	Program
	55.7b	(/.f64 (.f64 i (.f64 (.f64 i (+.f64 i beta)) (+.f64 i beta))) (.f64 (pow.f64 (+.f64 beta (.f64 i 2)) 2) (+.f64 (+.f64 (.f64 beta beta) (.f64 4 (.f64 i (+.f64 i beta)))) -1)))
	39.5b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 i 2))))) (/.f64 (/.f64 (+.f64 (.f64 beta alpha) (.f64 i (+.f64 i (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) 1)))
	54.5b	(.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (/.f64 1 (-.f64 (.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) (+.f64 alpha (+.f64 beta (*.f64 i 2)))) 1)))
	42.1b	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (/.f64 (/.f64 (+.f64 (.f64 beta alpha) (.f64 i (+.f64 i (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (-.f64 (.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) (+.f64 alpha (+.f64 beta (*.f64 i 2)))) 1)))
	53.7b	(/.f64 i (/.f64 (*.f64 beta beta) (+.f64 i alpha)))
▶	23.2b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (cbrt.f64 (pow.f64 (/.f64 beta i) 6)) (/.f64 (.f64 alpha alpha) (.f64 i i)))))

Compiler

Compiled 1017 to 495 computations (51.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (/.f64 beta i) 6)
0.6b	(/.f64 1/64 (*.f64 i i))
4.5b	(/.f64 (.f64 alpha alpha) (.f64 i i))
18.3b	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))

rewrite119.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

26×	`unpow-prod-down_binary64`
24×	`add-exp-log_binary64`
22×	`*-un-lft-identity_binary64`
22×	`times-frac_binary64`
22×	`add-sqr-sqrt_binary64`

Counts

4 → 95

Calls

4 calls:

7.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
4.0ms	(pow.f64 (/.f64 beta i) 6)
3.0ms	(/.f64 1/64 (*.f64 i i))
3.0ms	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))

Compiler

Compiled 2873 to 1404 computations (51.1% saved)

series78.0ms (1%)

Error

10.8b

Counts

4 → 21

Calls

4 calls:

25.0ms	(pow.f64 (/.f64 beta i) 6)
22.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
19.0ms	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))
8.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 1272 to 903 computations (29% saved)

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

656×	`times-frac_binary64`
438×	`associate-/l*_binary64`
391×	`associate-*l/_binary64`
380×	`associate-l_binary64`
379×	`log-prod_binary64`

Counts

116 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	1678
1	356	1367
2	978	1285
3	4323	1285
4	5102	1285

prune45.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	73	7	80

Error

9.9b

Counts

80 → 7

Alt Table

Status	Error	Program
	55.7b	(/.f64 (.f64 i (.f64 (.f64 i (+.f64 i beta)) (+.f64 i beta))) (.f64 (pow.f64 (+.f64 beta (.f64 i 2)) 2) (+.f64 (+.f64 (.f64 beta beta) (.f64 4 (.f64 i (+.f64 i beta)))) -1)))
	39.5b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 i 2))))) (/.f64 (/.f64 (+.f64 (.f64 beta alpha) (.f64 i (+.f64 i (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) 1)))
	42.1b	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (/.f64 (/.f64 (+.f64 (.f64 beta alpha) (.f64 i (+.f64 i (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (-.f64 (.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) (+.f64 alpha (+.f64 beta (*.f64 i 2)))) 1)))
▶	38.1b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (cbrt.f64 (pow.f64 (/.f64 beta i) 6)) (exp.f64 (*.f64 2 (log.f64 (/.f64 alpha i)))))))
	54.5b	(.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (/.f64 1 (-.f64 (.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) (+.f64 alpha (+.f64 beta (*.f64 i 2)))) 1)))
	53.7b	(/.f64 i (/.f64 (*.f64 beta beta) (+.f64 i alpha)))
✓	23.2b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (cbrt.f64 (pow.f64 (/.f64 beta i) 6)) (/.f64 (.f64 alpha alpha) (.f64 i i)))))

Compiler

Compiled 1225 to 677 computations (44.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 1/64 (*.f64 i i))
0.9b	(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha i))))
18.3b	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))
25.2b	(log.f64 (/.f64 alpha i))

rewrite105.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

39×	`times-frac_binary64`
39×	`log-prod_binary64`
35×	`*-un-lft-identity_binary64`
35×	`add-sqr-sqrt_binary64`
35×	`add-cube-cbrt_binary64`

Counts

4 → 106

Calls

4 calls:

5.0ms	(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha i))))
3.0ms	(/.f64 1/64 (*.f64 i i))
3.0ms	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))
2.0ms	(log.f64 (/.f64 alpha i))

Compiler

Compiled 3269 to 1916 computations (41.4% saved)

series105.0ms (1.3%)

Error

9.9b

Counts

4 → 21

Calls

4 calls:

44.0ms	(exp.f64 (*.f64 2 (log.f64 (/.f64 alpha i))))
27.0ms	(log.f64 (/.f64 alpha i))
17.0ms	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))
10.0ms	(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 1402 to 1094 computations (22% saved)

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

222×	`log-div_binary64`
215×	`associate-l_binary64`
204×	`associate-*l/_binary64`
196×	`associate-r_binary64`
189×	`prod-exp_binary64`

Counts

127 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	298	1781
1	535	1633
2	1112	1484
3	3466	1389
4	4846	1389
5	4998	1389

prune66.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	94	8	102

Error

9.8b

Counts

102 → 8

Alt Table

Status	Error	Program
	55.7b	(/.f64 (.f64 i (.f64 (.f64 i (+.f64 i beta)) (+.f64 i beta))) (.f64 (pow.f64 (+.f64 beta (.f64 i 2)) 2) (+.f64 (+.f64 (.f64 beta beta) (.f64 4 (.f64 i (+.f64 i beta)))) -1)))
	39.5b	(.f64 (/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (+.f64 1 (+.f64 alpha (+.f64 beta (.f64 i 2))))) (/.f64 (/.f64 (+.f64 (.f64 beta alpha) (.f64 i (+.f64 i (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (-.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) 1)))
	42.1b	(.f64 (/.f64 (.f64 i (+.f64 i (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (/.f64 (/.f64 (+.f64 (.f64 beta alpha) (.f64 i (+.f64 i (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta (.f64 i 2)))) (-.f64 (.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) (+.f64 alpha (+.f64 beta (*.f64 i 2)))) 1)))
	38.1b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (cbrt.f64 (pow.f64 (/.f64 beta i) 6)) (exp.f64 (*.f64 2 (log.f64 (/.f64 alpha i)))))))
	39.6b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (.f64 beta (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 beta) i) 6))) (exp.f64 (.f64 2 (log.f64 (/.f64 alpha i)))))))
	54.5b	(.f64 (/.f64 (.f64 (.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (.f64 beta alpha) (.f64 i (+.f64 (+.f64 alpha beta) i)))) (.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))) (/.f64 1 (-.f64 (.f64 (+.f64 alpha (+.f64 beta (.f64 i 2))) (+.f64 alpha (+.f64 beta (*.f64 i 2)))) 1)))
	53.7b	(/.f64 i (/.f64 (*.f64 beta beta) (+.f64 i alpha)))
	23.2b	(-.f64 (+.f64 1/16 (/.f64 1/64 (.f64 i i))) (.f64 1/32 (+.f64 (cbrt.f64 (pow.f64 (/.f64 beta i) 6)) (/.f64 (.f64 alpha alpha) (.f64 i i)))))

Compiler

Compiled 1716 to 1044 computations (39.2% saved)

regimes844.0ms (10.8%)

Accuracy

Total 2.5b remaining (21.2%)

Threshold costs 0b (0%)

Compiler

Compiled 13880 to 7749 computations (44.2% saved)

bsearch57.0ms (0.7%)

Steps

Iters	Range		Point
8	8.361026335051869e+130	1.03905514950706e+134	1.724874057153644e+133
2	6.097720819133371e+87	7.006318443804131e+87	6.665594334552595e+87
4	1.4155538628904488e+51	2.5270637225723062e+51	2.4897970452779856e+51

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
5×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	217
1	57	217
2	59	217
3	57	217

end12.0ms (0.2%)

Remove: (sort alpha beta)
Compiler: Compiled 447 to 243 computations (45.6% saved)

sample1.7s (21.5%)

Algorithm

1×

intervals

Results

914.0ms	8000×	body	128	valid
209.0ms	8000×	pre	128	true

Compiler

Compiled 522 to 302 computations (42.1% saved)

Details

analyze115.0ms (1.5%)

sample55.0ms (0.7%)

simplify47.0ms (0.6%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite794.0ms (10.1%)

series2.0s (25.9%)

simplify856.0ms (10.9%)

prune223.0ms (2.8%)

localize14.0ms (0.2%)

rewrite89.0ms (1.1%)

series48.0ms (0.6%)

simplify118.0ms (1.5%)

prune27.0ms (0.4%)

localize16.0ms (0.2%)

rewrite119.0ms (1.5%)

series78.0ms (1%)

simplify96.0ms (1.2%)

prune45.0ms (0.6%)

localize20.0ms (0.3%)

rewrite105.0ms (1.3%)

series105.0ms (1.3%)

simplify142.0ms (1.8%)

prune66.0ms (0.8%)

regimes844.0ms (10.8%)

bsearch57.0ms (0.7%)

simplify7.0ms (0.1%)

end12.0ms (0.2%)

sample1.7s (21.5%)

Profiling