Details

analyze53.0ms (0.8%)

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 67 to 35 computations (47.8% saved)

sample1.6s (22.8%)

Symmetry

(sort alpha beta)

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 190 to 97 computations (48.9% saved)

simplify41.0ms (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 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	67	67
2	293	67
3	1612	67
4	4979	67
5	5035	67

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

54.5b

Counts

3 → 1

Alt Table

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

Status

Error

Program

▶

54.5b

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

Compiler

Compiled 203 to 89 computations (56.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))
✓	0.1b	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))
✓	40.1b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
✓	46.0b	(/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))))

series1.5s (22.6%)

Counts

4 → 144

Calls

4 calls:

1.3s	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
147.0ms	(/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))))
37.0ms	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))
13.0ms	(*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))

rewrite55.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`add-cbrt-cube_binary64`
61×	`add-exp-log_binary64`
22×	`cbrt-unprod_binary64`
22×	`prod-exp_binary64`
21×	`add-sqr-sqrt_binary64`

Counts

4 → 132

Calls

4 calls:

12.0ms	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
10.0ms	(/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))))
7.0ms	(.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))
3.0ms	(*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))

simplify422.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
507×	`associate-/l*_binary64`
344×	`times-frac_binary64`
54×	`sqr-pow_binary64`
54×	`sub-neg_binary64`

Counts

276 → 296

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2566	48816
1	5158	48816

prune1.6s (22.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	288	8	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	289	8	297

Error

9.1b

Counts

297 → 8

Alt Table

Status	Error	Program
	43.3b	(/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	54.5b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (fma.f64 4 (.f64 i alpha) (+.f64 (.f64 beta beta) (fma.f64 2 (.f64 beta alpha) (.f64 4 (+.f64 (.f64 i i) (*.f64 beta i))))))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	43.8b	(/.f64 (*.f64 1/4 (pow.f64 i 2)) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	60.1b	(-.f64 (+.f64 (/.f64 (.f64 i i) (pow.f64 beta 4)) (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (fma.f64 50 (/.f64 (.f64 (pow.f64 i 3) alpha) (pow.f64 beta 4)) (fma.f64 31 (/.f64 (.f64 (.f64 i i) (.f64 alpha alpha)) (pow.f64 beta 4)) (fma.f64 6 (/.f64 (.f64 i (pow.f64 alpha 3)) (pow.f64 beta 4)) (fma.f64 25 (/.f64 (pow.f64 i 4) (pow.f64 beta 4)) (+.f64 (/.f64 (.f64 i alpha) (.f64 beta beta)) (/.f64 (.f64 i alpha) (pow.f64 beta 4))))))))) (fma.f64 3 (/.f64 (.f64 i (.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 9 (/.f64 (.f64 (.f64 i i) alpha) (pow.f64 beta 3)) (.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))))))
	60.2b	(/.f64 (/.f64 (.f64 i (.f64 (pow.f64 alpha 2) (+.f64 beta i))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	21.1b	(-.f64 (+.f64 1/16 (.f64 1/64 (/.f64 1 (.f64 i i)))) (.f64 1/32 (+.f64 (/.f64 (.f64 beta beta) (.f64 i i)) (/.f64 (.f64 alpha alpha) (*.f64 i i)))))
▶	15.1b	1/16
	58.8b	(-.f64 (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (.f64 i alpha) (.f64 beta beta))) (fma.f64 3 (/.f64 (.f64 i (.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 9 (/.f64 (.f64 (.f64 i i) alpha) (pow.f64 beta 3)) (*.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))))))

Compiler

Compiled 63565 to 36745 computations (42.2% saved)

localize0.0ms (0%)

prune15.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Error

9.1b

Counts

8 → 8

Alt Table

Status	Error	Program
	43.3b	(/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	54.5b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (fma.f64 4 (.f64 i alpha) (+.f64 (.f64 beta beta) (fma.f64 2 (.f64 beta alpha) (.f64 4 (+.f64 (.f64 i i) (*.f64 beta i))))))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	43.8b	(/.f64 (*.f64 1/4 (pow.f64 i 2)) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	60.1b	(-.f64 (+.f64 (/.f64 (.f64 i i) (pow.f64 beta 4)) (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (fma.f64 50 (/.f64 (.f64 (pow.f64 i 3) alpha) (pow.f64 beta 4)) (fma.f64 31 (/.f64 (.f64 (.f64 i i) (.f64 alpha alpha)) (pow.f64 beta 4)) (fma.f64 6 (/.f64 (.f64 i (pow.f64 alpha 3)) (pow.f64 beta 4)) (fma.f64 25 (/.f64 (pow.f64 i 4) (pow.f64 beta 4)) (+.f64 (/.f64 (.f64 i alpha) (.f64 beta beta)) (/.f64 (.f64 i alpha) (pow.f64 beta 4))))))))) (fma.f64 3 (/.f64 (.f64 i (.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 9 (/.f64 (.f64 (.f64 i i) alpha) (pow.f64 beta 3)) (.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))))))
	60.2b	(/.f64 (/.f64 (.f64 i (.f64 (pow.f64 alpha 2) (+.f64 beta i))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
▶	21.1b	(-.f64 (+.f64 1/16 (.f64 1/64 (/.f64 1 (.f64 i i)))) (.f64 1/32 (+.f64 (/.f64 (.f64 beta beta) (.f64 i i)) (/.f64 (.f64 alpha alpha) (*.f64 i i)))))
✓	15.1b	1/16
	58.8b	(-.f64 (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (.f64 i alpha) (.f64 beta beta))) (fma.f64 3 (/.f64 (.f64 i (.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 9 (/.f64 (.f64 (.f64 i i) alpha) (pow.f64 beta 3)) (*.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))))))

Compiler

Compiled 732 to 412 computations (43.7% saved)

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.1b	(/.f64 1 (*.f64 i i))
✓	2.1b	(/.f64 (.f64 alpha alpha) (.f64 i i))
✓	17.9b	(/.f64 (.f64 beta beta) (.f64 i i))

series60.0ms (0.9%)

Counts

3 → 60

Calls

3 calls:

29.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
28.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
2.0ms	(/.f64 1 (*.f64 i i))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
12×	`div-exp_binary64`
11×	`prod-exp_binary64`
11×	`pow1_binary64`

Counts

3 → 80

Calls

3 calls:

6.0ms	(/.f64 (.f64 alpha alpha) (.f64 i i))
5.0ms	(/.f64 (.f64 beta beta) (.f64 i i))
3.0ms	(/.f64 1 (*.f64 i i))

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-/l*_binary64`
509×	`associate-*l/_binary64`
417×	`associate-l_binary64`
356×	`associate-/r*_binary64`
332×	`fma-def_binary64`

Counts

140 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1658
1	241	1331
2	881	1245
3	3551	1181
4	4534	1181
5	4972	1181
6	4977	1181

prune153.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	100	8	108

Error

9.0b

Counts

108 → 8

Alt Table

Status	Error	Program
	43.3b	(/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	54.5b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (fma.f64 4 (.f64 i alpha) (+.f64 (.f64 beta beta) (fma.f64 2 (.f64 beta alpha) (.f64 4 (+.f64 (.f64 i i) (*.f64 beta i))))))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	43.8b	(/.f64 (*.f64 1/4 (pow.f64 i 2)) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	60.1b	(-.f64 (+.f64 (/.f64 (.f64 i i) (pow.f64 beta 4)) (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (fma.f64 50 (/.f64 (.f64 (pow.f64 i 3) alpha) (pow.f64 beta 4)) (fma.f64 31 (/.f64 (.f64 (.f64 i i) (.f64 alpha alpha)) (pow.f64 beta 4)) (fma.f64 6 (/.f64 (.f64 i (pow.f64 alpha 3)) (pow.f64 beta 4)) (fma.f64 25 (/.f64 (pow.f64 i 4) (pow.f64 beta 4)) (+.f64 (/.f64 (.f64 i alpha) (.f64 beta beta)) (/.f64 (.f64 i alpha) (pow.f64 beta 4))))))))) (fma.f64 3 (/.f64 (.f64 i (.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 9 (/.f64 (.f64 (.f64 i i) alpha) (pow.f64 beta 3)) (.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))))))
	60.2b	(/.f64 (/.f64 (.f64 i (.f64 (pow.f64 alpha 2) (+.f64 beta i))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
▶	15.7b	(-.f64 (+.f64 1/16 (.f64 1/64 (/.f64 1 (.f64 i i)))) (.f64 1/32 (+.f64 (cbrt.f64 (pow.f64 (/.f64 beta i) 6)) (/.f64 (.f64 alpha alpha) (*.f64 i i)))))
✓	15.1b	1/16
	58.8b	(-.f64 (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (.f64 i alpha) (.f64 beta beta))) (fma.f64 3 (/.f64 (.f64 i (.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 9 (/.f64 (.f64 (.f64 i i) alpha) (pow.f64 beta 3)) (*.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))))))

Compiler

Compiled 3860 to 1647 computations (57.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 beta i) 6)
	1.1b	(/.f64 1 (*.f64 i i))
	2.1b	(/.f64 (.f64 alpha alpha) (.f64 i i))
✓	15.2b	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))

series52.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

29.0ms	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))
23.0ms	(pow.f64 (/.f64 beta i) 6)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`unpow-prod-down_binary64`
18×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
18×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`

Counts

2 → 57

Calls

2 calls:

4.0ms	(cbrt.f64 (pow.f64 (/.f64 beta i) 6))
3.0ms	(pow.f64 (/.f64 beta i) 6)

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

346×	`log-div_binary64`
333×	`log-prod_binary64`
277×	`associate-l_binary64`
273×	`swap-sqr_binary64`
270×	`cube-prod_binary64`

Counts

105 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1401
1	206	1139
2	494	1073
3	2254	1003
4	4446	1003
5	5012	1003

prune190.0ms (2.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	154	9	163

Error

9.0b

Counts

163 → 9

Alt Table

Status	Error	Program
	43.3b	(/.f64 (/.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (/.f64 (.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (*.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	54.5b	(/.f64 (/.f64 (.f64 (.f64 i (+.f64 i (+.f64 alpha beta))) (fma.f64 i (+.f64 i (+.f64 alpha beta)) (.f64 alpha beta))) (fma.f64 4 (.f64 i alpha) (+.f64 (.f64 beta beta) (fma.f64 2 (.f64 beta alpha) (.f64 4 (+.f64 (.f64 i i) (*.f64 beta i))))))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	43.8b	(/.f64 (*.f64 1/4 (pow.f64 i 2)) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
	60.1b	(-.f64 (+.f64 (/.f64 (.f64 i i) (pow.f64 beta 4)) (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (fma.f64 50 (/.f64 (.f64 (pow.f64 i 3) alpha) (pow.f64 beta 4)) (fma.f64 31 (/.f64 (.f64 (.f64 i i) (.f64 alpha alpha)) (pow.f64 beta 4)) (fma.f64 6 (/.f64 (.f64 i (pow.f64 alpha 3)) (pow.f64 beta 4)) (fma.f64 25 (/.f64 (pow.f64 i 4) (pow.f64 beta 4)) (+.f64 (/.f64 (.f64 i alpha) (.f64 beta beta)) (/.f64 (.f64 i alpha) (pow.f64 beta 4))))))))) (fma.f64 3 (/.f64 (.f64 i (.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 9 (/.f64 (.f64 (.f64 i i) alpha) (pow.f64 beta 3)) (.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))))))
	15.8b	(-.f64 (+.f64 1/16 (.f64 1/64 (/.f64 1 (.f64 i i)))) (.f64 1/32 (+.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (/.f64 beta i) 6)))) (/.f64 (.f64 alpha alpha) (*.f64 i i)))))
	60.2b	(/.f64 (/.f64 (.f64 i (.f64 (pow.f64 alpha 2) (+.f64 beta i))) (*.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)))) (fma.f64 (fma.f64 i 2 (+.f64 alpha beta)) (fma.f64 i 2 (+.f64 alpha beta)) -1))
✓	15.7b	(-.f64 (+.f64 1/16 (.f64 1/64 (/.f64 1 (.f64 i i)))) (.f64 1/32 (+.f64 (cbrt.f64 (pow.f64 (/.f64 beta i) 6)) (/.f64 (.f64 alpha alpha) (*.f64 i i)))))
✓	15.1b	1/16
	58.8b	(-.f64 (+.f64 (/.f64 (.f64 i i) (.f64 beta beta)) (/.f64 (.f64 i alpha) (.f64 beta beta))) (fma.f64 3 (/.f64 (.f64 i (.f64 alpha alpha)) (pow.f64 beta 3)) (fma.f64 9 (/.f64 (.f64 (.f64 i i) alpha) (pow.f64 beta 3)) (*.f64 6 (/.f64 (pow.f64 i 3) (pow.f64 beta 3))))))

Compiler

Compiled 5267 to 2784 computations (47.1% saved)

regimes610.0ms (8.9%)

Accuracy

Total 2.7b remaining (21.1%)

Threshold costs 0b (0%)

Counts

75 → 2

Compiler

Compiled 14472 to 8001 computations (44.7% saved)

bsearch32.0ms (0.5%)

Steps

Iters	Range		Point
7	7.077908240710358e+107	3.5244463000818238e+109	2.1511195898984454e+109

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	74
1	26	74
2	26	74

end220.0ms (3.2%)

Remove: (sort alpha beta)
Compiler: Compiled 618 to 336 computations (45.6% saved)

Details

analyze53.0ms (0.8%)

sample1.6s (22.8%)

simplify41.0ms (0.6%)

prune4.0ms (0.1%)

localize16.0ms (0.2%)

series1.5s (22.6%)

rewrite55.0ms (0.8%)

simplify422.0ms (6.2%)

prune1.6s (22.7%)

localize0.0ms (0%)

prune15.0ms (0.2%)

localize29.0ms (0.4%)

series60.0ms (0.9%)

rewrite18.0ms (0.3%)

simplify97.0ms (1.4%)

prune153.0ms (2.2%)

localize20.0ms (0.3%)

series52.0ms (0.8%)

rewrite11.0ms (0.2%)

simplify85.0ms (1.2%)

prune190.0ms (2.8%)

regimes610.0ms (8.9%)

bsearch32.0ms (0.5%)

simplify3.0ms (0.1%)

end220.0ms (3.2%)

Profiling