Details

analyze626.0ms (7.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.6s (29.6%)

Results

957.0ms	5410×	body	128	valid
606.0ms	1157×	body	2048	valid
358.0ms	748×	body	1024	valid
258.0ms	377×	body	4096	valid
139.0ms	1076×	body	128	invalid
118.0ms	356×	body	512	valid
46.0ms	208×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify260.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1743×	`fma-neg_binary64`
1393×	`fma-def_binary64`
800×	`div-sub_binary64`
619×	`times-frac_binary64`
473×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	33	22
2	67	22
3	138	22
4	204	22
5	338	22
6	558	22
7	924	22
8	1388	22
9	1604	22
10	2375	22
11	2742	22
12	2533	22
13	2621	22
14	3171	22
15	3313	22
16	3873	22
17	3679	22
18	4029	22
19	4317	22
20	4485	22
21	4561	22
22	4805	22
23	4793	22
24	4797	22
25	4797	22
26	4948	22

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

36.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	36.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
▶	36.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
✓	1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	2.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	25.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series218.0ms (2.5%)

Counts

4 → 96

Calls

4 calls:

84.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
81.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
42.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
11.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`fma-def_binary64`
10×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`

Counts

4 → 90

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
7.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
3.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
334×	`cancel-sign-sub-inv_binary64`
215×	`distribute-rgt-neg-in_binary64`
159×	`associate-r_binary64`
150×	`distribute-rgt-neg-out_binary64`

Counts

186 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	4208
1	695	3858
2	2512	3724
3	4694	3704
4	5031	3704

prune164.0ms (1.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	195	12	207
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	196	13	209

Error

8.2b

Counts

209 → 13

Alt Table

Status	Error	Program
	36.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a))
	37.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b))) (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))) (*.f64 2 a))
	48.9b	(-.f64 (/.f64 c b) (/.f64 b a))
	56.6b	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 2 a))
	42.9b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 3)) (*.f64 2 a))
	48.6b	(/.f64 (neg.f64 b) a)
	34.0b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	45.9b	(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
	35.7b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a))
	39.8b	(neg.f64 (/.f64 c b))
	34.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) 2) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a))
▶	33.9b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
	48.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 4 a) c) (.f64 (.f64 4 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 2 a))

Compiler

Compiled 5841 to 3421 computations (41.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
✓	0.1b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
✓	1.0b	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
✓	16.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

series568.0ms (6.5%)

Counts

4 → 38

Calls

4 calls:

278.0ms	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
161.0ms	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
108.0ms	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
20.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`prod-diff_binary64`

Counts

4 → 84

Calls

4 calls:

6.0ms	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
3.0ms	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
3.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))
0.0ms	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)

simplify126.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-def_binary64`
343×	`fma-neg_binary64`
293×	`cancel-sign-sub-inv_binary64`
146×	`distribute-rgt-in_binary64`
144×	`distribute-rgt-neg-in_binary64`

Counts

122 → 199

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	245	3472
1	632	3007
2	2126	2816
3	4438	2808
4	4951	2808
5	4898	2808

prune162.0ms (1.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	198	14	212

Error

4.4b

Counts

212 → 14

Alt Table

Status	Error	Program
▶	33.9b	(.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 a))
	37.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b))) (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))) (*.f64 2 a))
	48.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))
	42.9b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b) 3)) (*.f64 2 a))
	48.6b	(/.f64 (neg.f64 b) a)
	34.0b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	45.9b	(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
	56.6b	(/.f64 (-.f64 b b) (*.f64 a -2))
	39.8b	(neg.f64 (/.f64 c b))
	48.9b	(-.f64 (/.f64 c b) (/.f64 b a))
	35.7b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a))
	34.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) 2) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a))
✓	33.9b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
	48.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 4 a) c) (.f64 (.f64 4 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 2 a))

Compiler

Compiled 5980 to 3887 computations (35% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
✓	0.2b	(.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 a))
	1.0b	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
	16.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

series258.0ms (3%)

Counts

1 → 12

Calls

1 calls:

258.0ms

(*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 a))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 40

Calls

1 calls:

9.0ms

(*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 a))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

584×	`times-frac_binary64`
408×	`associate-/l*_binary64`
362×	`fma-neg_binary64`
276×	`associate-/r*_binary64`
253×	`fma-def_binary64`

Counts

52 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1745
1	424	1575
2	1415	1564
3	4804	1564
4	5038	1564

prune187.0ms (2.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	2	10	12
Picked	0	1	1
Done	1	0	1
Total	219	14	233

Error

4.4b

Counts

233 → 14

Alt Table

Status	Error	Program
✓	33.9b	(.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 a))
	37.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b))) (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))) (*.f64 2 a))
	48.7b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b)) (/.f64 -1/2 a))
	48.9b	(-.f64 (/.f64 c b) (/.f64 b a))
▶	34.0b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	45.9b	(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
	56.6b	(/.f64 (-.f64 b b) (*.f64 a -2))
	39.8b	(neg.f64 (/.f64 c b))
	34.2b	(.f64 (-.f64 b (hypot.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -4 (.f64 c a)))) (cbrt.f64 (sqrt.f64 (.f64 -4 (.f64 c a))))) (cbrt.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))))) b)) (/.f64 -1/2 a))
	48.7b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	48.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))
	35.7b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a))
	34.3b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) 2) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a))
	48.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 4 a) c) (.f64 (.f64 4 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 2 a))

Compiler

Compiled 6584 to 4251 computations (35.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) a)
✓	0.2b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
✓	1.0b	(-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)
	16.7b	(sqrt.f64 (.f64 c (.f64 a -4)))

series865.0ms (9.9%)

Counts

3 → 28

Calls

3 calls:

486.0ms

(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) a)

235.0ms

(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) a))

144.0ms

(-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`add-sqr-sqrt_binary64`
84×	`times-frac_binary64`
80×	`*-un-lft-identity_binary64`
58×	`add-cube-cbrt_binary64`
56×	`sqrt-prod_binary64`

Counts

3 → 168

Calls

3 calls:

22.0ms

(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) a))

7.0ms

(/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)) a)

3.0ms

(-.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b) b)

simplify213.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
323×	`fma-neg_binary64`
314×	`cancel-sign-sub-inv_binary64`
215×	`neg-mul-1_binary64`
195×	`associate-*r/_binary64`

Counts

196 → 293

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	344	7621
1	877	6852
2	2826	6588
3	4458	6392
4	4931	6392
5	4901	6392

prune398.0ms (4.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	395	1	396
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	396	14	410

Error

4.4b

Counts

410 → 14

Alt Table

Status	Error	Program
✓	33.9b	(.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 a))
	37.9b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b))) (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))) (*.f64 2 a))
	48.7b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b)) (/.f64 -1/2 a))
	48.9b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	34.0b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b) b)) a))
	45.9b	(neg.f64 (+.f64 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (/.f64 c b)))
	56.6b	(/.f64 (-.f64 b b) (*.f64 a -2))
	39.8b	(neg.f64 (/.f64 c b))
	34.2b	(.f64 (-.f64 b (hypot.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -4 (.f64 c a)))) (cbrt.f64 (sqrt.f64 (.f64 -4 (.f64 c a))))) (cbrt.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))))) b)) (/.f64 -1/2 a))
	48.7b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
	48.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))
	35.7b	(/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a))
	42.8b	(.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b)) 2) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 -4 (*.f64 c a))) b) b) 3))) a))
	48.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 4 a) c) (.f64 (.f64 4 a) c))) (+.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 2 a))

Compiler

Compiled 16276 to 10555 computations (35.1% saved)

regimes1.5s (16.8%)

Accuracy

Total 7.7b remaining (72.3%)

Threshold costs 0b (0%)

Counts

150 → 3

Compiler

Compiled 15749 to 11035 computations (29.9% saved)

bsearch68.0ms (0.8%)

Steps

Iters	Range		Point
9	1.7799498980969126e-22	8.368732413175918e-17	2.7270803652676197e-22
3	-7.141603069708179e+127	-5.357826356151394e+127	-6.361200757527086e+127

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	56
1	46	54
2	71	54
3	85	54
4	93	54
5	95	54
6	94	54

end193.0ms (2.2%)

Compiler: Compiled 381 to 256 computations (32.8% saved)

Details

analyze626.0ms (7.2%)

sample2.6s (29.6%)

simplify260.0ms (3%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series218.0ms (2.5%)

rewrite30.0ms (0.3%)

simplify125.0ms (1.4%)

prune164.0ms (1.9%)

localize9.0ms (0.1%)

series568.0ms (6.5%)

rewrite17.0ms (0.2%)

simplify126.0ms (1.4%)

prune162.0ms (1.9%)

localize9.0ms (0.1%)

series258.0ms (3%)

rewrite13.0ms (0.1%)

simplify72.0ms (0.8%)

prune187.0ms (2.1%)

localize12.0ms (0.1%)

series865.0ms (9.9%)

rewrite54.0ms (0.6%)

simplify213.0ms (2.4%)

prune398.0ms (4.6%)

regimes1.5s (16.8%)

bsearch68.0ms (0.8%)

simplify4.0ms (0%)

end193.0ms (2.2%)

Profiling