Details

analyze1.7s (12.4%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample79.0ms (0.6%)

Algorithm

1×

intervals

Results

54.0ms	256×	body	128	valid
4.0ms	18×	body	128	nan
2.0ms	11×	body	128	invalid

Compiler

Compiled 86 to 56 computations (34.9% saved)

simplify166.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1002×	`fma-def_binary64`
782×	`fma-neg_binary64`
748×	`distribute-rgt-in_binary64`
560×	`div-sub_binary64`
469×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	44	52
2	94	52
3	211	50
4	341	50
5	594	50
6	1082	50
7	1702	50
8	2066	50
9	2870	50
10	3495	50
11	3501	50
12	3503	50
13	4196	50
14	4249	50
15	4881	50

prune10.0ms (0.1%)

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

21.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	21.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
▶	21.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Status

Error

Program

21.1b

(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (/.f64 1/2 a)))

▶

21.0b

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 231 to 143 computations (38.1% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

14.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
9.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
6.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series208.0ms (1.5%)

Counts

3 → 76

Calls

3 calls:

81.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
71.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
56.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify201.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-def_binary64`
622×	`fma-neg_binary64`
482×	`associate-/l*_binary64`
283×	`cancel-sign-sub-inv_binary64`
175×	`distribute-rgt-neg-in_binary64`

Counts

136 → 249

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2604
1	458	2473
2	1606	2323
3	4906	2319
4	5186	2319

prune681.0ms (4.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	307	8	315
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	308	9	317

Error

5.5b

Counts

317 → 9

Alt Table

Status	Error	Program
	35.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 (.f64 4 a) c) 3))) (sqrt.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (+.f64 (.f64 (.f64 (.f64 4 a) c) (.f64 (.f64 4 a) c)) (.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))) (.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	19.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (.f64 -2 b) (.f64 2 a)))
	33.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a)))
	21.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a)))

Compiler

Compiled 9639 to 5596 computations (41.9% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
✓	0.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`prod-diff_binary64`
59×	`*-un-lft-identity_binary64`
59×	`add-sqr-sqrt_binary64`
47×	`add-cube-cbrt_binary64`
36×	`sqrt-prod_binary64`

Counts

2 → 128

Calls

2 calls:

17.0ms	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
16.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

series551.0ms (4%)

Counts

2 → 40

Calls

2 calls:

464.0ms	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
86.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

simplify352.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

684×	`fma-def_binary64`
650×	`fma-neg_binary64`
238×	`cancel-sign-sub-inv_binary64`
162×	`distribute-rgt-neg-in_binary64`
136×	`distribute-lft-neg-in_binary64`

Counts

168 → 330

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	7172
1	662	5114
2	2256	4010
3	4375	4008
4	4985	4008
5	4911	4008

prune916.0ms (6.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	560	4	564
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	564	9	573

Error

5.5b

Counts

573 → 9

Alt Table

Status	Error	Program
	20.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 b)) (/.f64 (.f64 -2 b) (.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))) (.f64 2 a)))
	24.9b	(if (>=.f64 b 0) (.f64 (sqrt.f64 (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (sqrt.f64 (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))) (/.f64 (.f64 -2 b) (*.f64 2 a)))
	21.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a)))
▶	19.8b	(if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c)) (/.f64 (.f64 -2 b) (.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
	20.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 (.f64 (cbrt.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))) (cbrt.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)))) (cbrt.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))))) (/.f64 (.f64 -2 b) (*.f64 2 a)))
	33.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a)))

Compiler

Compiled 13532 to 8307 computations (38.6% saved)

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c)
✓	0.1b	(/.f64 2 (/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c))
✓	0.1b	(-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))
✓	16.1b	(sqrt.f64 (.f64 a (.f64 c -4)))

Compiler

Compiled 1530 to 1275 computations (16.7% saved)

rewrite83.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

169×	`*-un-lft-identity_binary64`
156×	`times-frac_binary64`
135×	`add-sqr-sqrt_binary64`
101×	`add-cube-cbrt_binary64`
34×	`distribute-lft-out--_binary64`

Counts

4 → 227

Calls

4 calls:

19.0ms	(/.f64 2 (/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c))
15.0ms	(/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c)
11.0ms	(-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))
5.0ms	(sqrt.f64 (.f64 a (.f64 c -4)))

series1.2s (9%)

Counts

4 → 42

Calls

4 calls:

631.0ms	(/.f64 2 (/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c))
348.0ms	(/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c)
242.0ms	(-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b))
27.0ms	(sqrt.f64 (.f64 a (.f64 c -4)))

simplify475.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
377×	`div-sub_binary64`
369×	`fma-neg_binary64`
196×	`sub-neg_binary64`
185×	`associate-/r/_binary64`

Counts

269 → 524

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	418	9927
1	992	8643
2	3354	8167
3	4494	8163
4	4982	8163

prune1.3s (9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	523	1	524
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	524	9	533

Error

3.8b

Counts

533 → 9

Alt Table

Status	Error	Program
	28.4b	(if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -4))) b)) c)) (/.f64 (.f64 -2 b) (.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
▶	20.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 b)) (/.f64 (.f64 -2 b) (.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))) (.f64 2 a)))
	24.9b	(if (>=.f64 b 0) (.f64 (sqrt.f64 (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (sqrt.f64 (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))) (/.f64 (.f64 -2 b) (*.f64 2 a)))
	21.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a)))
✓	19.8b	(if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c)) (/.f64 (.f64 -2 b) (.f64 2 a)))
	33.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a)))

Compiler

Compiled 17477 to 11158 computations (36.2% saved)

localize26.0ms (0.2%)

Compiler: Compiled 1530 to 1275 computations (16.7% saved)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune20.0ms (0.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	1	1
Total	9	9

Error

3.8b

Counts

9 → 9

Alt Table

Status	Error	Program
	28.4b	(if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (hypot.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (.f64 c -4))) b)) c)) (/.f64 (.f64 -2 b) (.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (/.f64 1/2 a)))
✓	20.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 -2 b)) (/.f64 (.f64 -2 b) (.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) b))) (*.f64 2 a)))
	21.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 (fabs.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 c a) -4 (.f64 b b)))))) (.f64 2 a)))
	24.9b	(if (>=.f64 b 0) (.f64 (sqrt.f64 (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))) (sqrt.f64 (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))))) (/.f64 (.f64 -2 b) (*.f64 2 a)))
	21.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (*.f64 2 a)))
✓	19.8b	(if (>=.f64 b 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 a (.f64 c -4))) b)) c)) (/.f64 (.f64 -2 b) (.f64 2 a)))
	33.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (/.f64 (.f64 4 (.f64 c a)) (-.f64 (neg.f64 b) (hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (*.f64 2 a)))

Compiler

Compiled 346 to 233 computations (32.7% saved)

regimes2.5s (17.9%)

Accuracy

Total 4.6b remaining (52.5%)

Threshold costs 0b (0%)

Compiler

Compiled 14926 to 10294 computations (31% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 41 to 26 computations (36.6% saved)

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
24×	`*-commutative_binary64`
20×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	472
1	98	458
2	134	458
3	168	458
4	188	458
5	195	458
6	192	458

end8.0ms (0.1%)

Compiler: Compiled 306 to 189 computations (38.2% saved)

sample3.1s (22.4%)

Algorithm

1×

intervals

Results

1.7s	8000×	body	128	valid
131.0ms	663×	body	128	nan
88.0ms	418×	body	128	invalid

Compiler

Compiled 697 to 452 computations (35.2% saved)

Details

analyze1.7s (12.4%)

sample79.0ms (0.6%)

simplify166.0ms (1.2%)

prune10.0ms (0.1%)

localize40.0ms (0.3%)

rewrite34.0ms (0.2%)

series208.0ms (1.5%)

simplify201.0ms (1.5%)

prune681.0ms (4.9%)

localize40.0ms (0.3%)

rewrite52.0ms (0.4%)

series551.0ms (4%)

simplify352.0ms (2.5%)

prune916.0ms (6.6%)

localize49.0ms (0.4%)

rewrite83.0ms (0.6%)

series1.2s (9%)

simplify475.0ms (3.4%)

prune1.3s (9%)

localize26.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify18.0ms (0.1%)

prune20.0ms (0.1%)

regimes2.5s (17.9%)

bsearch13.0ms (0.1%)

simplify33.0ms (0.2%)

end8.0ms (0.1%)

sample3.1s (22.4%)

Profiling