Details

analyze1.3s (13.2%)

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)

sample2.3s (24.8%)

Results

765.0ms	5410×	body	128	valid
611.0ms	1157×	body	2048	valid
320.0ms	748×	body	1024	valid
247.0ms	377×	body	4096	valid
134.0ms	1076×	body	128	invalid
121.0ms	356×	body	512	valid
47.0ms	208×	body	256	valid

Compiler

Compiled 62 to 44 computations (29% saved)

simplify379.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2009×	`fma-neg_binary64`
1508×	`div-sub_binary64`
1334×	`associate-/l*_binary64`
1156×	`fma-def_binary64`
685×	`associate-/l/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	34	22
2	64	22
3	132	22
4	198	22
5	325	22
6	552	22
7	918	22
8	1352	22
9	1554	22
10	2359	22
11	3158	22
12	2565	22
13	2653	22
14	3219	22
15	3361	22
16	3461	22
17	3985	22
18	4171	22
19	4439	22
20	4659	22
21	4701	22
22	4757	22
23	4941	22
24	4941	22
25	3365	22
26	3059	22
27	2983	22
28	2985	22
29	2997	22
30	2997	22
31	2997	22
32	2997	22
33	2736	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 4 (.f64 a c))))) (.f64 2 a))

Compiler

Compiled 111 to 74 computations (33.3% saved)

localize10.0ms (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 4 (.f64 a c))))) (.f64 2 a))
✓	1.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
✓	2.1b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
✓	25.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series194.0ms (2%)

Counts

4 → 96

Calls

4 calls:

84.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
55.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
45.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
10.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

rewrite25.0ms (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:

8.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
6.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
3.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
3.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-neg_binary64`
327×	`cancel-sign-sub-inv_binary64`
226×	`distribute-rgt-neg-in_binary64`
150×	`distribute-rgt-neg-out_binary64`
146×	`associate-r_binary64`

Counts

186 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	4202
1	693	3825
2	2488	3724
3	4652	3704
4	4985	3704

prune157.0ms (1.7%)

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
	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))
	36.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 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 4 (.f64 a c)) (.f64 4 (.f64 a c)))) (+.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 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))

Compiler

Compiled 5841 to 3278 computations (43.9% 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)))

series569.0ms (6%)

Counts

4 → 38

Calls

4 calls:

270.0ms	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
165.0ms	(-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))
112.0ms	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)
21.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))

rewrite15.0ms (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:

5.0ms	(/.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))
2.0ms	(sqrt.f64 (.f64 c (.f64 a -4)))
0.0ms	(hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)

simplify137.0ms (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

prune165.0ms (1.7%)

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
	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)))
	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))
	48.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))
▶	33.9b	(.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 a))
	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))
	39.8b	(neg.f64 (/.f64 c b))
✓	33.9b	(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)) (*.f64 a -2))
	56.6b	(/.f64 (-.f64 b b) (*.f64 a -2))
	48.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 4 (.f64 a c)) (.f64 4 (.f64 a c)))) (+.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 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))

Compiler

Compiled 5980 to 3883 computations (35.1% 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 (2.7%)

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))

rewrite11.0ms (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:

7.0ms

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

simplify69.0ms (0.7%)

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

prune172.0ms (1.8%)

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
	48.7b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
✓	33.9b	(.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 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)))
	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))
	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))
	48.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))
	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))
	48.7b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b)) (/.f64 -1/2 a))
	56.6b	(/.f64 (-.f64 b b) (*.f64 a -2))
	48.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 4 (.f64 a c)) (.f64 4 (.f64 a c)))) (+.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 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))

Compiler

Compiled 6584 to 4247 computations (35.5% saved)

localize11.0ms (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)))

series861.0ms (9.1%)

Counts

3 → 28

Calls

3 calls:

484.0ms

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

233.0ms

(*.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)

rewrite49.0ms (0.5%)

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:

19.0ms

(*.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))

5.0ms

(/.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)

simplify411.0ms (4.3%)

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

prune391.0ms (4.1%)

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
	48.7b	(.f64 (.f64 b 2) (/.f64 -1/2 a))
✓	33.9b	(.f64 (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b)) (/.f64 -1/2 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)))
	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))
	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))
	48.7b	(/.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)) (*.f64 a -2))
	48.7b	(.f64 (-.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 -4 a))) b)) (/.f64 -1/2 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))
	56.6b	(/.f64 (-.f64 b b) (*.f64 a -2))
	48.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 4 (.f64 a c)) (.f64 4 (.f64 a c)))) (+.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 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))

Compiler

Compiled 16276 to 10553 computations (35.2% saved)

regimes1.6s (16.7%)

Accuracy

Total 7.7b remaining (72.3%)

Threshold costs 0b (0%)

Counts

150 → 3

Compiler

Compiled 15749 to 10953 computations (30.5% saved)

bsearch71.0ms (0.7%)

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`
11×	`*-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	28	58
1	45	54
2	60	54
3	77	54
4	87	54
5	93	54
6	95	54
7	94	54

end183.0ms (1.9%)

Compiler: Compiled 381 to 254 computations (33.3% saved)

Details

analyze1.3s (13.2%)

sample2.3s (24.8%)

simplify379.0ms (4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

series194.0ms (2%)

rewrite25.0ms (0.3%)

simplify120.0ms (1.3%)

prune157.0ms (1.7%)

localize9.0ms (0.1%)

series569.0ms (6%)

rewrite15.0ms (0.2%)

simplify137.0ms (1.4%)

prune165.0ms (1.7%)

localize9.0ms (0.1%)

series258.0ms (2.7%)

rewrite11.0ms (0.1%)

simplify69.0ms (0.7%)

prune172.0ms (1.8%)

localize11.0ms (0.1%)

series861.0ms (9.1%)

rewrite49.0ms (0.5%)

simplify411.0ms (4.3%)

prune391.0ms (4.1%)

regimes1.6s (16.7%)

bsearch71.0ms (0.7%)

simplify4.0ms (0%)

end183.0ms (1.9%)

Profiling