Metrics for Quadratic roots, narrow range

analyze345.0ms (4.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
7.1%	0%	0%	100%	0%	0%	0%	5
20.8%	0%	0%	100%	0%	0%	0%	6
29.5%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
50.6%	0%	0%	100%	0%	0%	0%	9
58.2%	0%	0%	100%	0%	0%	0%	10
63.3%	0%	0%	100%	0%	0%	0%	11
72.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 43 to 31 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

Operation ival-neg, time spent: 47.0ms, 34.0% of total-time

Operation ival-mult, time spent: 27.0ms, 20.0% of total-time

Operation ival-<, time spent: 22.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 13.0ms, 9.0% of total-time

Operation ival-div, time spent: 7.0ms, 5.0% of total-time

Operation ival-add, time spent: 5.0ms, 4.0% of total-time

Operation ival-sub, time spent: 5.0ms, 4.0% of total-time

Operation ival-and, time spent: 5.0ms, 4.0% of total-time

Operation const, time spent: 4.0ms, 3.0% of total-time

sample3.3s (45.8%)

Results

2.2s	7279×	0	valid
325.0ms	1402×	0	invalid
399.0ms	976×	1	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-mult, time spent: 324.0ms, 21.0% of total-time

Operation ival-<, time spent: 321.0ms, 20.0% of total-time

Operation ival-add, time spent: 233.0ms, 15.0% of total-time

Operation ival-sub, time spent: 213.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 166.0ms, 11.0% of total-time

Operation ival-div, time spent: 103.0ms, 7.0% of total-time

Operation ival-neg, time spent: 76.0ms, 5.0% of total-time

Operation ival-and, time spent: 71.0ms, 5.0% of total-time

Operation const, time spent: 70.0ms, 4.0% of total-time

Bogosity

preprocess1.6s (22.1%)

Algorithm

1×	egg-herbie

Rules

1648×	`div-sub`
1546×	`fma-def`
1212×	`sub-neg`
596×	`associate-*r/`
576×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`
-	-	`(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))`
-	-	`b`
-	-	`(neg.f64 b)`
-	-	`(*.f64 4 a)`
-	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))`
-	-	`c`
-	-	`(*.f64 b b)`
-	-	`4`
-	-	`(.f64 (.f64 4 a) c)`
-	-	`a`
-	-	`(*.f64 2 a)`
-	-	`2`
-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	779
1	182	675
2	490	671
3	1246	671
4	3197	671
5	7858	671

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 (neg.f64 a)) c)))) (.f64 2 (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) (neg.f64 c))))) (.f64 2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 (neg.f64 a)) c)))) (.f64 2 (neg.f64 a))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) (neg.f64 c))))) (.f64 2 a)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a))

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

Compiler

Compiled 168 to 92 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-mult, time spent: 384.0ms, 35.0% of total-time

Operation ival-sub, time spent: 303.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 171.0ms, 16.0% of total-time

Operation ival-add, time spent: 163.0ms, 15.0% of total-time

Operation const, time spent: 31.0ms, 3.0% of total-time

Operation ival-div, time spent: 27.0ms, 2.0% of total-time

Operation ival-neg, time spent: 18.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 65 to 40 computations (38.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 a 2))
▶	54.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 a 2))
▶	54.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2))

Status

Accuracy

Program

▶

54.6%

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

▶

54.5%

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

▶

54.4%

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

Compiler

Compiled 56 to 38 computations (32.1% saved)

localize1.6s (21.6%)

Compiler: Compiled 190 to 98 computations (48.4% saved)
Precisions: Click to see histograms. Total time spent on operations: 1.2s
Operation ival-mult, time spent: 412.0ms, 34.0% of total-time
Operation ival-sqrt, time spent: 242.0ms, 20.0% of total-time
Operation ival-sub, time spent: 234.0ms, 20.0% of total-time
Operation ival-fma, time spent: 159.0ms, 13.0% of total-time
Operation ival-add, time spent: 59.0ms, 5.0% of total-time
Operation ival-div, time spent: 40.0ms, 3.0% of total-time
Operation const, time spent: 38.0ms, 3.0% of total-time
Operation ival-neg, time spent: 13.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	0	0
Total	3	3

Accuracy

54.7%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.6%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 a 2))
✓	54.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 a 2))
✓	54.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2))

Status

Accuracy

Program

✓

54.6%

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

✓

54.5%

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

✓

54.4%

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

Compiler

Compiled 123 to 78 computations (36.6% saved)

regimes18.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 a 2))

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

Calls

4 calls:

6.0ms	b
4.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
4.0ms	c
4.0ms	a

Results

Accuracy	Segments	Branch
54.6%	1	`a`
54.6%	1	`b`
54.6%	1	`c`
54.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes15.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

4.0ms	a
3.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
3.0ms	c
3.0ms	b

Results

Accuracy	Segments	Branch
54.5%	1	`a`
54.5%	1	`c`
54.5%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`
54.5%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes12.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 a 2))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.4%	1	`a`
54.4%	1	`c`
54.4%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))`
54.4%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
20×	`+-commutative`
18×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	191
1	53	187
2	74	187
3	85	187
4	93	187
5	96	187

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

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

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

Outputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b))) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4))))) (.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a 4)))) b) (.f64 a 2))

Compiler

Compiled 55 to 37 computations (32.7% saved)

soundness312.0ms (4.3%)

Rules

1648×	`div-sub`
1648×	`div-sub`
1546×	`fma-def`
1546×	`fma-def`
1212×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	779
1	182	675
2	490	671
3	1246	671
4	3197	671
5	7858	671
0	65	779
1	182	675
2	490	671
3	1246	671
4	3197	671
5	7858	671

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 222 to 133 computations (40.1% saved)

end0.0ms (0%)

preprocess42.0ms (0.6%)

Compiler: Compiled 138 to 88 computations (36.2% saved)

analyze345.0ms (4.8%)

sample3.3s (45.8%)

preprocess1.6s (22.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize1.6s (21.6%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes18.0ms (0.3%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

simplify6.0ms (0.1%)

soundness312.0ms (4.3%)

end0.0ms (0%)

preprocess42.0ms (0.6%)

Profiling