Metrics for Cubic critical, narrow range

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze287.0ms (0.2%)

Memory

20.4MiB live, 413.6MiB allocated

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
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
0%	0%	0%	100%	0%	0%	0%	7
2.3%	0%	0%	100%	0%	0%	0%	8
11.3%	0%	0%	100%	0%	0%	0%	9
21.1%	0%	0%	100%	0%	0%	0%	10
28%	0%	0%	100%	0%	0%	0%	11
40.1%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.0s (1.2%)

Memory

88.6MiB live, 2 851.5MiB allocated

Samples

755.0ms	5 579×	0	valid
568.0ms	2 677×	1	valid
176.0ms	1 281×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 325.0ms (28.1% of total)

ival-mult: 215.0ms (18.6% of total)

ival-<: 128.0ms (11.1% of total)

ival-div: 93.0ms (8% of total)

ival-sqrt: 93.0ms (8% of total)

ival-sub: 69.0ms (6% of total)

adjust: 68.0ms (5.9% of total)

ival-add: 68.0ms (5.9% of total)

ival-neg: 53.0ms (4.6% of total)

ival-and: 35.0ms (3% of total)

exact: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain158.0ms (0.1%)

Memory

-24.3MiB live, 250.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
232	5	(2.8113350686860046 852.9430128974202 1264.099196190388)	3	(445263.4015050283 0.5324428776104287 1.0997157648395477e-8)	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`c`
0	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
0	0	-	0	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	234	6

Confusion

	Predicted +	Predicted -
+	229	3
-	5	19

Precision

0.9786324786324786

Recall

0.9870689655172413

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	229	3	0
-	5	3	16

Precision?

0.9666666666666667

Recall?

1.0

Freqs

test

number	freq
0	22
1	234

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

35.0ms	344×	0	valid
26.0ms	168×	1	valid

Compiler

Compiled 156 to 40 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 11.0ms (30.2% of total)

ival-add: 7.0ms (19.2% of total)

ival-div: 5.0ms (13.7% of total)

ival-sqrt: 5.0ms (13.7% of total)

adjust: 3.0ms (8.2% of total)

ival-sub: 3.0ms (8.2% of total)

ival-neg: 2.0ms (5.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess242.0ms (0.1%)

Memory

-10.7MiB live, 219.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 708×	`lower-*.f32`
3 702×	`lower-*.f64`
2 918×	`lower-fma.f64`
2 918×	`lower-fma.f32`
1 612×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	158
1	186	144
2	707	144
3	2416	144
4	6505	144
0	12	17
0	20	17
1	43	16
2	129	16
3	411	16
4	1240	16
5	2387	16
6	3519	16
7	4847	16
8	5468	16
9	6431	16
0	8048	15

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))

(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))

Samples

0.0ms	1×	1	valid
0.0ms	1×	0	invalid

Compiler

Compiled 85 to 47 computations (44.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-add: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify517.0ms (0.3%)

Memory

3.2MiB live, 748.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))

Rules

3 708×	`lower-*.f32`
3 702×	`lower-*.f64`
2 918×	`lower-fma.f64`
2 918×	`lower-fma.f32`
1 612×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
0	20	66
1	43	64
2	129	64
3	411	64
4	1240	64
5	2387	64
6	3519	64
7	4847	64
8	5468	64
9	6431	64
0	8048	60

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 b b)
(.f64 (.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))
(*.f64 b b)
(.f64 (.f64 #s(literal 3 binary64) a) c)
(.f64 #s(literal 3 binary64) (.f64 a c))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c

Samples

91.0ms	2 596×	0	valid
47.0ms	581×	0	invalid
5.0ms	38×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 28 696 to 25 609 computations (10.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 33.0ms (48.9% of total)

ival-add: 14.0ms (20.7% of total)

ival-sqrt: 6.0ms (8.9% of total)

ival-div: 4.0ms (5.9% of total)

ival-neg: 3.0ms (4.4% of total)

ival-true: 2.0ms (3% of total)

exact: 2.0ms (3% of total)

adjust: 1.0ms (1.5% of total)

ival-assert: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% of total)

localize44.0ms (0%)

Memory

-12.5MiB live, 67.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21484375	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy	0.21875	(.f64 (.f64 #s(literal 3 binary64) a) c)
accuracy	0.37728500976844204	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
accuracy	28.54267856464005	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))

Samples

16.0ms	84×	1	valid
15.0ms	172×	0	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 5.0ms (30.8% of total)

adjust: 2.0ms (12.3% of total)

ival-div: 2.0ms (12.3% of total)

ival-add: 2.0ms (12.3% of total)

ival-sub: 2.0ms (12.3% of total)

ival-sqrt: 2.0ms (12.3% of total)

ival-neg: 1.0ms (6.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series23.0ms (0%)

Memory

35.4MiB live, 35.4MiB allocated

Counts

5 → 144

Calls

Call 1

Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor inf c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms	c	@	0	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms	a	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms	c	@	-inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

simplify11.9s (7.3%)

Memory

-551.9MiB live, 17 012.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 668×	`lower-*.f64`
1 668×	`lower-*.f32`
1 048×	`lower-fma.f64`
1 048×	`lower-fma.f32`
688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	2458
0	1624	2350

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

144 → 144

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))
(* 3 (* a c))

Outputs
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 b b)) (.f64 (.f64 a c) #s(literal -3/2 binary64))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 b b)) (.f64 (*.f64 a c) #s(literal -3/2 binary64)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 a c) #s(literal -3/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 (.f64 a a) (.f64 c c))) (*.f64 b b))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(.f64 (neg.f64 b) (fma.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal 2 binary64)))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 (.f64 a a) (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (neg.f64 b) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -27/16 binary64) (.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) (.f64 b b))))))
(* -3/2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) (.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(.f64 a (fma.f64 a (fma.f64 #s(literal -27/16 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (.f64 #s(literal -27/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(.f64 a (-.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))) (/.f64 b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
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(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))))) #s(literal -1/24 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/3 binary64))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 b #s(literal 1/3 binary64))) a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 b #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64)))))) #s(literal 1/24 binary64) (.f64 (.f64 (/.f64 (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) #s(literal -1/6 binary64))) a))) a)))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 c (-.f64 (.f64 #s(literal -3/8 binary64) (.f64 a (/.f64 c (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) a) (.f64 b (.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) (.f64 a b)) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) a) (.f64 b (*.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(.f64 c (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 a c)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(.f64 c (fma.f64 #s(literal -1/3 binary64) (/.f64 b (.f64 a c)) (fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(.f64 c (fma.f64 #s(literal -1/3 binary64) (/.f64 b (.f64 a c)) (fma.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/3 binary64))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(neg.f64 (.f64 c (.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b (*.f64 a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))) (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c (.f64 a (*.f64 a a))))))) c))) c)))))
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))
(* 3 (* a c))
(.f64 (.f64 a c) #s(literal 3 binary64))

Samples

2.6s	13 837×	0	invalid
2.1s	27 997×	0	valid
36.0ms	71×	2	valid

Compiler

Compiled 1 079 235 to 785 600 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-mult: 1.5s (43.1% of total)

ival-div: 596.0ms (17.2% of total)

ival-sqrt: 350.0ms (10.1% of total)

const: 317.0ms (9.1% of total)

ival-add: 227.0ms (6.5% of total)

ival-pow: 210.0ms (6.1% of total)

ival-neg: 111.0ms (3.2% of total)

exact: 51.0ms (1.5% of total)

ival-sub: 41.0ms (1.2% of total)

ival-true: 36.0ms (1% of total)

ival-assert: 17.0ms (0.5% of total)

ival-pow2: 15.0ms (0.4% of total)

adjust: 6.0ms (0.2% of total)

rewrite221.0ms (0.1%)

Memory

36.9MiB live, 314.4MiB allocated

Rules

6 034×	`lower-fma.f64`
6 034×	`lower-fma.f32`
4 752×	`lower-*.f32`
4 746×	`lower-*.f64`
3 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
0	20	46
1	77	44
2	632	43
0	9201	40

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 586

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(.f64 (.f64 #s(literal 3 binary64) a) c)

Outputs
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))
(+.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(+.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(+.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
(+.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) b)
(+.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 0 binary64)) b)
(-.f64 b (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))
(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))
(-.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))))
(fma.f64 b (/.f64 (.f64 b b) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
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(.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (fma.f64 b b (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))
(.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))
(.f64 (/.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (fma.f64 b (.f64 b b) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))
b
(+.f64 b #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 2 binary64)))
(fabs.f64 b)
(fabs.f64 (-.f64 b #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(sqrt.f64 (*.f64 b b))
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (*.f64 b b) b)
(/.f64 (.f64 b (.f64 b b)) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 1/2 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (sqrt.f64 b) (sqrt.f64 b))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(neg.f64 (.f64 c (.f64 a #s(literal -3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 a c))
(.f64 a (.f64 #s(literal 3 binary64) c))
(.f64 (.f64 #s(literal 3 binary64) a) c)
(.f64 c (.f64 #s(literal 3 binary64) a))
(.f64 (.f64 a c) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) c) a)

eval110.0ms (0.1%)

Memory: 4.0MiB live, 197.0MiB allocated
Compiler: Compiled 27 965 to 2 436 computations (91.3% saved)

prune194.0ms (0.1%)

Memory

-5.3MiB live, 351.1MiB allocated

Pruning

55 alts after pruning (55 fresh and 0 done)

	Pruned	Kept	Total
New	675	55	730
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	676	55	731

Accuracy

99.1%

Counts

731 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
	54.3%	(fma.f64 (.f64 b #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)))
	53.9%	(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
	54.8%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) a) (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) b)) (.f64 #s(literal 3 binary64) (.f64 a #s(literal -3 binary64))))
	54.4%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) a) a (.f64 #s(literal 3 binary64) (.f64 b #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) a))
	55.0%	(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 1/3 binary64)) (.f64 a #s(literal -3 binary64)) (.f64 a b)) (.f64 a (*.f64 a #s(literal -3 binary64))))
	55.2%	(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 1/3 binary64)) a (.f64 a (.f64 b #s(literal -1/3 binary64)))) (.f64 a a))
	54.2%	(/.f64 (fma.f64 (.f64 b #s(literal -1/3 binary64)) (/.f64 (.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 (.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
	54.1%	(/.f64 (fma.f64 (.f64 b #s(literal -1/3 binary64)) (.f64 #s(literal 3 binary64) a) (.f64 a (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 a (*.f64 #s(literal 3 binary64) a)))
	54.2%	(/.f64 (fma.f64 (.f64 b #s(literal -1/3 binary64)) a (.f64 a (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 1/3 binary64)))) (.f64 a a))
	53.9%	(/.f64 (fma.f64 (.f64 b #s(literal -1/3 binary64)) #s(literal 3 binary64) (.f64 a (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) a))) (*.f64 #s(literal 3 binary64) a))
	55.7%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 a #s(literal -3 binary64)) (.f64 b (.f64 #s(literal 3 binary64) a))) (.f64 (.f64 #s(literal 3 binary64) a) (.f64 a #s(literal -3 binary64))))
	54.2%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) a (.f64 (.f64 #s(literal 3 binary64) a) (.f64 b #s(literal -1/3 binary64)))) (.f64 (*.f64 #s(literal 3 binary64) a) a))
	55.6%	(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 a #s(literal -3 binary64)) (.f64 (.f64 a #s(literal -3 binary64)) b)) (.f64 #s(literal 9 binary64) (*.f64 a a)))
	55.6%	(/.f64 (fma.f64 b (/.f64 (.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal -3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 a #s(literal -3 binary64)) (/.f64 (.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))))
▶	55.2%	(/.f64 (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a)))
	55.1%	(/.f64 (fma.f64 b a (.f64 (.f64 a #s(literal -3 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #s(literal 1/3 binary64)))) (.f64 (*.f64 a #s(literal -3 binary64)) a))
	54.7%	(/.f64 (fma.f64 b #s(literal 3 binary64) (.f64 (.f64 a #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) a))) (.f64 (.f64 a #s(literal -3 binary64)) #s(literal 3 binary64)))
	54.6%	(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64)) (.f64 (/.f64 (.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) b)) (.f64 (/.f64 (.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 a #s(literal -3 binary64))))
	53.7%	(/.f64 (fma.f64 #s(literal 1 binary64) a (.f64 (/.f64 (.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 b #s(literal -1/3 binary64)))) (.f64 (/.f64 (.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))) a))
	54.0%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 (.f64 b b) (.f64 b (.f64 b b))) (.f64 #s(literal -27 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (.f64 c (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))))) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (.f64 c (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))))) (.f64 b b))) (.f64 #s(literal 3 binary64) a))
	54.3%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 #s(literal 3 binary64) a))
▶	54.1%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
	55.3%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) a) #s(literal -3 binary64))
	56.3%	(/.f64 (-.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))))) (.f64 #s(literal 3 binary64) a))
	56.2%	(/.f64 (-.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 a a))) (/.f64 (.f64 b b) (.f64 #s(literal 9 binary64) (.f64 a a)))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 #s(literal 3 binary64) a)))
	55.3%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
	55.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
	55.3%	(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))
	82.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 b b)) (.f64 (.f64 a c) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a))
	92.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 a c) #s(literal -3/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 (.f64 a a) (.f64 c c))) (.f64 b b))))) b)) (.f64 #s(literal 3 binary64) a))
	88.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 b b)) (.f64 (.f64 a c) #s(literal -3/2 binary64)))) b)) (.f64 #s(literal 3 binary64) a))
	64.7%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (.f64 (.f64 a c) #s(literal -3/2 binary64)) b)) (*.f64 #s(literal 3 binary64) a))
	92.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (.f64 #s(literal -27/16 binary64) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 #s(literal -3/2 binary64) a) b)))) (.f64 #s(literal 3 binary64) a))
	89.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 a a) (.f64 b (.f64 b b))) (/.f64 (.f64 #s(literal -27/16 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/2 binary64) a) b)))) (.f64 #s(literal 3 binary64) a))
	82.7%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 (.f64 #s(literal -3/2 binary64) a) b)))) (*.f64 #s(literal 3 binary64) a))
	92.0%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (/.f64 (.f64 #s(literal -27/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (.f64 #s(literal -3/2 binary64) (/.f64 c b))))) (.f64 #s(literal 3 binary64) a))
	88.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 a (fma.f64 #s(literal -27/16 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (.f64 #s(literal -3/2 binary64) (/.f64 c b))))) (.f64 #s(literal 3 binary64) a))
	82.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))) (.f64 #s(literal -3/2 binary64) (/.f64 c b))))) (*.f64 #s(literal 3 binary64) a))
	55.3%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b))))))
	54.4%	(-.f64 (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) #s(literal 0 binary64)) (/.f64 b (*.f64 #s(literal 3 binary64) a)))
	55.6%	(-.f64 (/.f64 (/.f64 (.f64 b b) (.f64 #s(literal 9 binary64) (.f64 a a))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (.f64 a #s(literal -3 binary64)))) (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (.f64 #s(literal 9 binary64) (.f64 a a))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (*.f64 a #s(literal -3 binary64)))))
	54.2%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (/.f64 b (.f64 #s(literal 3 binary64) a)))
▶	53.7%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 1/3 binary64) (/.f64 b a)))
	55.3%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
	89.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
▶	92.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
	82.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c))) (.f64 b (*.f64 b b)))))
	82.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b))
	92.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 c #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 a (.f64 c c))) (*.f64 b b))))) b))
	89.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 c #s(literal -1/2 binary64)))) b))
▶	64.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
	92.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/6 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) (.f64 a b)) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) a) (.f64 b (*.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))))
	89.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (fma.f64 c (fma.f64 #s(literal -9/16 binary64) (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) a) (.f64 b (.f64 b b)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) b)))))
	82.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 c (-.f64 (.f64 #s(literal -3/8 binary64) (.f64 a (/.f64 c (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b))))

Compiler

Compiled 3 646 to 1 972 computations (45.9% saved)

simplify4.4s (2.7%)

Memory

117.0MiB live, 6 761.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (*.f64 a c)))))) b)
cost-diff	128	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
cost-diff	320	(-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (*.f64 b b)))
cost-diff	2304	(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b))
cost-diff	0	(*.f64 #s(literal 3 binary64) a)
cost-diff	320	(.f64 (.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) a))
cost-diff	512	(fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
cost-diff	960	(/.f64 (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a)))
cost-diff	0	(fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (*.f64 #s(literal 3 binary64) a))
cost-diff	1024	(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 1/3 binary64) (/.f64 b a)))
cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
cost-diff	0	(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
cost-diff	704	(/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b)
cost-diff	5504	(pow.f64 c #s(literal 4 binary64))

Rules

11 244×	`lower-fma.f32`
11 230×	`lower-fma.f64`
4 670×	`lower-*.f32`
4 628×	`lower-*.f64`
3 212×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	754
0	125	709
1	277	679
2	1054	646
3	5398	646
0	8045	639

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
a
(fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (*.f64 b b))))
(fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))))
(/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b)
(.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
#s(literal 405/64 binary64)
#s(literal -1/6 binary64)
(/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))
(.f64 #s(literal -9/16 binary64) (.f64 c (*.f64 c c)))
#s(literal -9/16 binary64)
(.f64 c (.f64 c c))
(*.f64 c c)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))
(.f64 #s(literal -3/8 binary64) (.f64 c c))
#s(literal -3/8 binary64)
(.f64 b (.f64 b b))
(*.f64 b b)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(*.f64 c #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(*.f64 c #s(literal -1/2 binary64))
c
#s(literal -1/2 binary64)
b
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))
(fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))
c
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
#s(literal 1/3 binary64)
(/.f64 b a)
(/.f64 (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a)))
(fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
b
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
(.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))
(*.f64 a #s(literal -3 binary64))
#s(literal -3 binary64)
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))
(fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))
c
(*.f64 b b)
(.f64 (.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b))
(-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (*.f64 b b)))
(.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (*.f64 a c)))))) b)
(sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))
b
(.f64 b (.f64 b b))
(*.f64 b b)
(.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))))
#s(literal -9 binary64)
(.f64 a (.f64 c (*.f64 a c)))
a
(.f64 c (.f64 a c))
c
(*.f64 a c)
(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))
(fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))
#s(literal 3 binary64)
(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (*.f64 b b))) b)
(*.f64 #s(literal 3 binary64) a)

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
a
(fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (*.f64 b b))))
(fma.f64 a (fma.f64 a (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b))))
(fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))))
(fma.f64 a (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 7 binary64)))) (/.f64 (.f64 c (.f64 c (.f64 c #s(literal -9/16 binary64)))) (pow.f64 b #s(literal 5 binary64))))
(/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b)
(/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (*.f64 a #s(literal 405/64 binary64))) (pow.f64 b #s(literal 7 binary64)))
(.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)))
(/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) (*.f64 a #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64)))
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))
(/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
(/.f64 (.f64 c (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))
(pow.f64 c #s(literal 4 binary64))
(.f64 c (.f64 c (*.f64 c c)))
c
#s(literal 4 binary64)
(pow.f64 b #s(literal 6 binary64))
b
#s(literal 6 binary64)
#s(literal 405/64 binary64)
#s(literal -1/6 binary64)
(/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))
(/.f64 (.f64 c (.f64 c (*.f64 c #s(literal -9/16 binary64)))) (pow.f64 b #s(literal 5 binary64)))
(.f64 #s(literal -9/16 binary64) (.f64 c (*.f64 c c)))
(.f64 c (.f64 c (*.f64 c #s(literal -9/16 binary64))))
#s(literal -9/16 binary64)
(.f64 c (.f64 c c))
(*.f64 c c)
(pow.f64 b #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))
(/.f64 (.f64 c (.f64 c #s(literal -3/8 binary64))) (.f64 b (.f64 b b)))
(.f64 #s(literal -3/8 binary64) (.f64 c c))
(.f64 c (.f64 c #s(literal -3/8 binary64)))
#s(literal -3/8 binary64)
(.f64 b (.f64 b b))
(*.f64 b b)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(*.f64 c #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(*.f64 c #s(literal -1/2 binary64))
c
#s(literal -1/2 binary64)
b
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 1/3 binary64) (/.f64 b a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (*.f64 #s(literal 3 binary64) a))
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))
(fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))
c
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
(/.f64 b (*.f64 #s(literal 3 binary64) a))
#s(literal 1/3 binary64)
(/.f64 b a)
(/.f64 (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
(.f64 (.f64 a #s(literal -3 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) b))
b
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
(.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))
(*.f64 a #s(literal -3 binary64))
#s(literal -3 binary64)
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))
(fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))
c
(*.f64 b b)
(.f64 (.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) a))
(.f64 a (.f64 a #s(literal -9 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 c (.f64 c (.f64 a #s(literal -9 binary64))))))) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c))))) #s(literal 1/3 binary64) (*.f64 b #s(literal -1/3 binary64))) a)
(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b))
(fma.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 c (.f64 c (.f64 a #s(literal -9 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c))))) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (*.f64 b b)))
(.f64 b (-.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 c (.f64 c (.f64 a #s(literal -9 binary64))))))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c)))))))
(.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (*.f64 a c)))))) b)
(.f64 b (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 c (.f64 c (*.f64 a #s(literal -9 binary64))))))))
(sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))))))
(sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 c (.f64 c (.f64 a #s(literal -9 binary64)))))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))
(fma.f64 b (.f64 b (.f64 b b)) (.f64 a (.f64 c (.f64 c (.f64 a #s(literal -9 binary64))))))
b
(.f64 b (.f64 b b))
(*.f64 b b)
(.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c))))
(.f64 a (.f64 c (.f64 c (.f64 a #s(literal -9 binary64)))))
#s(literal -9 binary64)
(.f64 a (.f64 c (*.f64 a c)))
(.f64 a (.f64 a (*.f64 c c)))
a
(.f64 c (.f64 a c))
(.f64 a (.f64 c c))
c
(*.f64 a c)
(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))
(.f64 (.f64 b b) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c)))))
(sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b)))
(sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c))))
(fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))
(fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c)))
#s(literal 3 binary64)
(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (*.f64 b b))) b)
(.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (*.f64 a c)))))
(*.f64 #s(literal 3 binary64) a)

Samples

1.5s	25 414×	0	valid
131.0ms	617×	1	valid
79.0ms	564×	0	invalid
9.0ms	33×	2	valid

Compiler

Compiled 367 336 to 281 758 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 550.0ms (52.7% of total)

ival-add: 104.0ms (10% of total)

ival-div: 96.0ms (9.2% of total)

ival-pow: 64.0ms (6.1% of total)

ival-sqrt: 58.0ms (5.6% of total)

ival-neg: 34.0ms (3.3% of total)

const: 33.0ms (3.2% of total)

ival-sub: 31.0ms (3% of total)

exact: 22.0ms (2.1% of total)

ival-true: 21.0ms (2% of total)

adjust: 17.0ms (1.6% of total)

ival-assert: 11.0ms (1.1% of total)

ival-fabs: 4.0ms (0.4% of total)

localize293.0ms (0.2%)

Memory

-8.8MiB live, 419.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.34212875976844204	(.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))
accuracy	0.34765625	(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b))
accuracy	0.37728500976844204	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a))
accuracy	28.902078388594184	(-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (*.f64 b b)))
accuracy	0.32421875	(.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))
accuracy	0.3756637695368841	(/.f64 (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a)))
accuracy	0.4307213379159782	(.f64 (.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) a))
accuracy	28.483163824873973	(fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (*.f64 b b)))))
accuracy	0.236660009768442	(fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))
accuracy	0.37109375	(*.f64 #s(literal 1/3 binary64) (/.f64 b a))
accuracy	0.3984375	(/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (*.f64 #s(literal 3 binary64) a))
accuracy	28.872691704439852	(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 1/3 binary64) (/.f64 b a)))
accuracy	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
accuracy	0	(*.f64 c #s(literal -1/2 binary64))
accuracy	22.5103505914693	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
accuracy	0.30859375	(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))
accuracy	0.33431625976844204	(/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))
accuracy	0.35546875	(/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))
accuracy	4.688246368637803	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))

Samples

102.0ms	103×	1	valid
88.0ms	153×	0	valid

Compiler

Compiled 735 to 76 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 56.0ms (41% of total)

ival-div: 23.0ms (16.9% of total)

ival-add: 12.0ms (8.8% of total)

adjust: 10.0ms (7.3% of total)

ival-sqrt: 10.0ms (7.3% of total)

const: 9.0ms (6.6% of total)

ival-pow: 9.0ms (6.6% of total)

ival-sub: 5.0ms (3.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series195.0ms (0.1%)

Memory

26.4MiB live, 263.2MiB allocated

Counts

25 → 744

Calls

Call 1

Inputs
#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())
#s(alt (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)) (patch (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 c #s(literal -1/2 binary64)) b) (patch (/.f64 (.f64 c #s(literal -1/2 binary64)) b) #<representation binary64>) () ())
#s(alt (.f64 c #s(literal -1/2 binary64)) (patch (.f64 c #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 1/3 binary64) (/.f64 b a))) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (.f64 #s(literal 1/3 binary64) (/.f64 b a))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) (patch (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a))) (patch (/.f64 (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) (patch (fma.f64 b (.f64 #s(literal 3 binary64) a) (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a)) (patch (.f64 (.f64 a #s(literal -3 binary64)) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 3 binary64) a) (patch (.f64 #s(literal 3 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (patch (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b))) (patch (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (patch (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (patch (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/3 binary64) (/.f64 b a)) (patch (.f64 #s(literal 1/3 binary64) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) (patch (.f64 (.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -3 binary64)) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b)) #<representation binary64>) () ())

Outputs
#s(alt (pow c 4) (taylor 0 c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor 0 c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor 0 c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor 0 c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor inf c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor inf c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor inf c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor inf c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow c 4) (taylor -inf c) (#s(alt (pow.f64 c #s(literal 4 binary64)) (patch (pow.f64 c #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf a) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf c) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor 0 b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor inf b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 405/64 (/ (* a (pow c 4)) (pow b 7))) (taylor -inf b) (#s(alt (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) (patch (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor 0 b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -3/2 (/ a b)) (* c (- (+ (* -9/2 (/ (pow a 2) (pow b 3))) (* 9/4 (/ (pow a 2) (pow b 3)))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ c a)) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (* (+ (* 1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt 1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (* b (sqrt 1/3))))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (* (pow b 2) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3)))))) (sqrt 1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) (sqrt 1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt 1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (sqrt 3))))) b)) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt 1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b 3) (sqrt 3))))))) (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt 1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 5) (pow (sqrt 3) 3)))))))))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3)))))))))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (/ (* (sqrt -1) (* (+ (* -1/324 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/3) 2)))) (* 1/81 (/ (pow b 6) (pow a 4)))) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (* b (sqrt -1/3))))) (+ (* -1/18 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (* (sqrt -1) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))) (sqrt -1/3)))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (* (sqrt -1/3) (- (* -1/8 (/ (pow b 8) (* (pow a 3) (pow (sqrt -9) 3)))) (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 5) (sqrt -1)) (pow (sqrt -3) 3)))))))))) c)) (* -1/54 (* (sqrt (/ c (pow a 5))) (/ (* (pow b 3) (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3))))) (pow c 3))) (+ (* -1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (* (sqrt -1) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (sqrt -1/3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (* (sqrt -1/3) (- (* a (* b (sqrt -9))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) b)) (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (* (sqrt -1/3) (- (* 1/2 (/ (pow b 4) (* a (sqrt -9)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 3) (sqrt -1)) (sqrt -3))))))))))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (patch (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* a (* b (* c (sqrt -9)))) (taylor 0 b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (* (sqrt (* a c)) (* b (sqrt 3)))) (* a (* c (sqrt -9))))) (taylor 0 b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a (* c (sqrt -9))) (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3)))))) (taylor 0 b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* a (* c (sqrt -9))) (* b (- (* (pow b 2) (- (* 1/2 (/ b (* a (* c (sqrt -9))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3)))))) (taylor 0 b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a (* b c))) (taylor inf b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (- (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) (taylor inf b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))))) (taylor inf b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* -81/8 (/ (* (pow a 4) (pow c 4)) (pow b 6))) (* -9/2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))))) (taylor inf b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow b 3)) (taylor -inf b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* -3/2 (/ (* a c) (pow b 2))) 2))) (taylor -inf b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) (taylor -inf b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (- (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (* 9/2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) (taylor -inf b) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a (* b c))) (taylor 0 a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (* -9/2 (/ (pow c 2) b)) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) (taylor 0 a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (+ (* -9/2 (/ (pow c 2) b)) (* -27/16 (/ (* a (pow c 3)) (pow b 3)))) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) (taylor 0 a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (+ (* -9/2 (/ (pow c 2) b)) (* a (- (* a (- (* -81/8 (/ (pow c 4) (pow b 5))) (* -1/2 (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6)))))))) (* 27/16 (/ (pow c 3) (pow b 3)))))) (* -9/8 (/ (pow c 2) b)))) (* 3/2 (* b c)))) (taylor 0 a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))) (taylor inf a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))) (taylor inf a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3))))))) (taylor inf a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 6) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 8) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 4) (sqrt 3)))) (* (sqrt (/ c a)) (* (pow b 2) (sqrt 3)))))))) (taylor inf a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* b (* c (sqrt -9))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))) (taylor -inf a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))) (taylor -inf a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) (taylor -inf a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (+ (* -1/8 (/ (pow b 9) (* (pow a 4) (* (pow c 3) (pow (sqrt -9) 3))))) (+ (* 1/16 (/ (pow b 13) (* (pow a 6) (* (pow c 5) (pow (sqrt -9) 5))))) (+ (* 1/2 (/ (pow b 5) (* (pow a 2) (* c (sqrt -9))))) (* b (* c (sqrt -9)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 8) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (pow b 2) (* (sqrt -3) (sqrt -1)))))))))) (taylor -inf a) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -3/2 (* a (* b c))) (taylor 0 c) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* -9/2 (/ (pow a 2) b)) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b)))) (taylor 0 c) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (+ (* -9/2 (/ (pow a 2) b)) (* -27/16 (/ (* (pow a 3) c) (pow b 3)))) (* -9/8 (/ (pow a 2) b)))) (* 3/2 (* a b)))) (taylor 0 c) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* c (- (+ (* -1/8 (/ (pow b 9) (* (pow a 3) (* (pow c 4) (pow (sqrt -9) 3))))) (+ (* 1/2 (/ (pow b 5) (* a (* (pow c 2) (sqrt -9))))) (* a (* b (sqrt -9))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (pow b 2) (* (sqrt -3) (sqrt -1))))))))) (taylor -inf c) (#s(alt (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (patch (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3)))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ (* b (* (sqrt 1/3) (sqrt 3))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -9) (sqrt 1/3))))) (taylor 0 b) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ c b)) (taylor inf b) (#s(alt (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal -9 binary64) (.f64 a (.f64 c (.f64 a c)))))) b) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) b)) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow b 3) (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) (taylor -inf b) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow b 3) (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) (taylor -inf b) (#s(alt (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b)) (patch (.f64 (sqrt.f64 (fma.f64 #s(literal 3 binary64) (.f64 a c) (.f64 b b))) (.f64 b b)) #<representation binary64>) () ())) ())

Calls

186 calls:

Time	Variable		Point	Expression
13.0ms	b	@	0	(* (sqrt (+ (* b (* b (* b b))) (* -9 (* a (* c (* a c)))))) b)
7.0ms	a	@	-inf	(- (* (sqrt (+ (* b (* b (* b b))) (* -9 (* a (* c (* a c)))))) b) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b)))
6.0ms	b	@	inf	(/ (- (* (sqrt (+ (* b (* b (* b b))) (* -9 (* a (* c (* a c)))))) b) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (* (sqrt (+ (* 3 (* a c)) (* b b))) b))
6.0ms	b	@	0	(/ (+ (* b (* 3 a)) (* (* a -3) (sqrt (+ (* c (* a -3)) (* b b))))) (* (* a -3) (* 3 a)))
4.0ms	a	@	inf	(/ (- (* (sqrt (+ (* b (* b (* b b))) (* -9 (* a (* c (* a c)))))) b) (* (sqrt (+ (* 3 (* a c)) (* b b))) (* b b))) (* (sqrt (+ (* 3 (* a c)) (* b b))) b))

simplify2.4min (87.4%)

Memory

1 741.9MiB live, 196 110.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 216×	`lower-*.f64`
6 216×	`lower-*.f32`
4 356×	`lower-+.f64`
4 356×	`lower-+.f32`
4 302×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2265	22724
0	7194	21846

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Samples

44.1s	121 808×	0	invalid
21.2s	147 627×	0	valid
302.0ms	386×	2	valid
154.0ms	1 041×	1	valid
31.0ms	40×	1	exit

Compiler

Compiled 16 551 479 to 9 418 176 computations (43.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.9s

ival-mult: 22.3s (40.7% of total)

ival-div: 9.1s (16.5% of total)

ival-pow: 6.3s (11.5% of total)

ival-sqrt: 5.8s (10.5% of total)

const: 4.6s (8.4% of total)

ival-add: 4.4s (8.1% of total)

ival-sub: 765.0ms (1.4% of total)

exact: 616.0ms (1.1% of total)

ival-neg: 533.0ms (1% of total)

ival-true: 247.0ms (0.4% of total)

ival-assert: 114.0ms (0.2% of total)

adjust: 82.0ms (0.1% of total)

ival-pow2: 18.0ms (0% of total)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze287.0ms (0.2%)

sample2.0s (1.2%)

explain158.0ms (0.1%)

preprocess242.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify517.0ms (0.3%)

localize44.0ms (0%)

series23.0ms (0%)

simplify11.9s (7.3%)

rewrite221.0ms (0.1%)

eval110.0ms (0.1%)

prune194.0ms (0.1%)

simplify4.4s (2.7%)

localize293.0ms (0.2%)

series195.0ms (0.1%)

simplify2.4min (87.4%)

end0.0ms (0%)

Profiling