Metrics for Cubic critical

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze129.0ms (1.5%)

Memory

2.1MiB live, 201.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.5s (17.2%)

Memory

22.8MiB live, 1 878.6MiB allocated

Samples

467.0ms	5 519×	0	valid
234.0ms	1 199×	2	valid
204.0ms	1 353×	1	valid
87.0ms	983×	0	invalid
49.0ms	185×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 699.0ms

ival-mult: 197.0ms (28.2% of total)

ival-sqrt: 109.0ms (15.6% of total)

ival-div: 99.0ms (14.2% of total)

ival-sub: 78.0ms (11.2% of total)

adjust: 73.0ms (10.4% of total)

ival-add: 68.0ms (9.7% of total)

ival-neg: 59.0ms (8.4% of total)

ival-true: 7.0ms (1% of total)

exact: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain186.0ms (2.1%)

Memory

35.2MiB live, 156.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
94	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
66	1	(3.6054816313041187e-215 4.540308291208488e+68 2.867524337525847e-41)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
21	0	-	2	(3.6054816313041187e-215 4.540308291208488e+68 2.867524337525847e-41)	`(/.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))`
1	0	-	0	-	`(-.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	-	`(neg.f64 b)`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	oflow-rescue	91	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	19
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	91
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
↳	`(*.f64 b b)`	overflow	75
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	67	1
`/.f64`	`(/.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))`	u/n	18	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	35
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	3
↳	`(*.f64 b b)`	underflow	30
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	32
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	3	0
↳	`(*.f64 b b)`	underflow	30
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	35
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	3
`/.f64`	`(/.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))`	n/o	1	0
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	1	0
↳	`(*.f64 b b)`	overflow	75
↳	`(*.f64 #s(literal 3 binary64) a)`	overflow	1
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	19

Confusion

	Predicted +	Predicted -
+	126	1
-	21	108

Precision

0.8571428571428571

Recall

0.9921259842519685

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	1	0
-	21	0	108

Precision?

0.8581081081081081

Recall?

1.0

Freqs

test

number	freq
0	109
1	114
2	32
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	322×	0	valid
20.0ms	90×	2	valid
17.0ms	88×	1	valid
3.0ms	12×	3	valid

Compiler

Compiled 219 to 52 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 11.0ms (25.4% of total)

ival-sqrt: 7.0ms (16.1% of total)

ival-div: 6.0ms (13.8% of total)

adjust: 5.0ms (11.5% of total)

ival-neg: 5.0ms (11.5% of total)

ival-sub: 4.0ms (9.2% of total)

ival-add: 4.0ms (9.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess155.0ms (1.8%)

Memory

-21.7MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	158
1	152	144
2	433	144
3	1182	144
4	3216	144
5	6176	144
0	12	17
0	20	17
1	36	16
2	73	16
3	156	16
4	236	16
5	374	16
6	653	16
7	1117	16
8	2300	16
9	2599	16
10	2713	16
11	2768	16
12	2769	16
13	2769	16
0	2769	15

Stop Event

1×	iter limit
1×	saturated
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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(/.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 17 to 12 computations (29.4% saved)

simplify78.0ms (0.9%)

Memory

3.9MiB live, 40.7MiB 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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
0	20	66
1	36	64
2	73	64
3	156	64
4	236	64
5	374	64
6	653	64
7	1117	64
8	2300	64
9	2599	64
10	2713	64
11	2768	64
12	2769	64
13	2769	64
0	2769	60

Stop Event

1×	iter limit
1×	saturated
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 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.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 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
(*.f64 b b)
(.f64 (.f64 #s(literal 3 binary64) a) c)
(.f64 c (.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
a
c

localize87.0ms (1%)

Memory

12.6MiB live, 51.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21093750000000003	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy	5.032404377427123	(/.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	14.715600913940117	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy	22.0098377606376	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

55.0ms	45×	2	valid
14.0ms	161×	0	valid
7.0ms	44×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 134 to 26 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-neg: 39.0ms (60.3% of total)

ival-mult: 13.0ms (20.1% of total)

adjust: 3.0ms (4.6% of total)

ival-div: 3.0ms (4.6% of total)

ival-sqrt: 3.0ms (4.6% of total)

ival-sub: 2.0ms (3.1% of total)

ival-add: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory

-12.0MiB live, 25.1MiB allocated

Counts

5 → 98

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

Outputs
(* -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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* -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)))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (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)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 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))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* 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)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -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 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (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)))
(- (pow b 2) (* 3 (* a c)))
(+ (* 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 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -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)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(/ (+ (* -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)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -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)))))))
(* -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))))))))
(* -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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -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))))))))
(* 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))))))))
(* 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))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 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)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 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)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* 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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	b	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms	c	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms	a	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms	a	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms	b	@	0	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify229.0ms (2.6%)

Memory

-9.4MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	3039
1	1767	3016
2	6275	2974
0	8498	2826

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

Inputs
(* -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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* -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)))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (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)))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 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))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* 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)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -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))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -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 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (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)))
(- (pow b 2) (* 3 (* a c)))
(+ (* 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 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -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)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(/ (+ (* -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)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -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)))))))
(* -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))))))))
(* -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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -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))))))))
(* 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))))))))
(* 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))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 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)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 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)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* 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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))

Outputs
(* -3/2 (/ (* a c) b))
(.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (fma.f64 (.f64 a #s(literal -9/8 binary64)) (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (.f64 #s(literal -3/8 binary64) a) (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(+ (* -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)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b)))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -9/8 binary64)) (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b)
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b)
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) 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)))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a)
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 c a))
(* a (- (/ (pow b 2) a) (* 3 c)))
(.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
(+ (* -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 #s(literal 1/72 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 #s(literal -1/3 binary64) (/.f64 b a)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) 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)))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) a)
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))))
(.f64 (neg.f64 a) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) a)))
(* -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))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (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 (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64))
(+ (* -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 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 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 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) #s(literal -1 binary64)) b (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a))))
(+ (* 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 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/24 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a))))
(- (pow b 2) (* 3 (* a c)))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
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(+ (* 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)))))
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(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c)
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))))
(.f64 (neg.f64 c) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) c)))
(* -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))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) c) b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(.f64 (.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b c) a)))
(* -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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/72 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite202.0ms (2.3%)

Memory

33.9MiB live, 107.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
0	20	51
1	71	49
2	525	48
3	6871	48
0	8160	44

Stop Event

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

Counts

5 → 440

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

Outputs
(.f64 (/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (fma.f64 b b (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))) (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 b b (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)))) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))
(.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))))
(.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))
(.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) #s(literal -1 binary64))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) #s(literal -1 binary64))) (fma.f64 b b (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (fma.f64 b b (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))))
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(/.f64 (/.f64 #s(literal 1/3 binary64) a) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (.f64 #s(literal -3 binary64) a) (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))))) (.f64 #s(literal -3 binary64) a)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (fma.f64 b b (.f64 b (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))))) #s(literal 3 binary64)) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))))
(neg.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a) (*.f64 b (/.f64 #s(literal 1/3 binary64) a)))
(fma.f64 b (/.f64 #s(literal 1/3 binary64) a) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -3 binary64) a)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))) (.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) (*.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (.f64 a #s(literal 3 binary64))) (/.f64 b (.f64 a #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 3 binary64))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(-.f64 #s(literal 0 binary64) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b))) #s(literal -1 binary64)))
(+.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (.f64 b (/.f64 #s(literal 1/3 binary64) a)))
(+.f64 (.f64 b (/.f64 #s(literal 1/3 binary64) a)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (.f64 (/.f64 #s(literal 1/3 binary64) a) b))
(+.f64 (.f64 (/.f64 #s(literal 1/3 binary64) a) b) (.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) b)
(*.f64 #s(literal 1 binary64) b)
(.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b))
(*.f64 b #s(literal -1 binary64))
(*.f64 b #s(literal 1 binary64))
(pow.f64 b #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b))
(/.f64 (*.f64 b b) b)
(neg.f64 b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #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 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 #s(literal 0 binary64) b)
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) b)
(+.f64 b #s(literal 0 binary64))
b
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 (*.f64 #s(literal -3 binary64) a) c))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 c #s(literal 3 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (.f64 c #s(literal 3 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) (+.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 (.f64 #s(literal -3 binary64) a) c))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 3 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 (.f64 #s(literal -3 binary64) a) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 (.f64 #s(literal -3 binary64) a) c)) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))
(/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 (.f64 #s(literal -3 binary64) a) c))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 c #s(literal 3 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (.f64 c #s(literal 3 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(fabs.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) #s(literal 0 binary64))

eval140.0ms (1.6%)

Memory: -10.1MiB live, 122.3MiB allocated
Compiler: Compiled 19 143 to 2 166 computations (88.7% saved)

prune26.0ms (0.3%)

Memory

-32.8MiB live, 51.0MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	516	18	534
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	517	18	535

Accuracy

92.6%

Counts

535 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.5%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (.f64 b b))) (*.f64 #s(literal 3 binary64) a))
	53.3%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
▶	53.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
	49.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
▶	29.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
	12.1%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
▶	53.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
	28.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
	35.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a)))
	53.2%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
	53.2%	(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
	53.2%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
▶	34.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
	34.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
	39.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
▶	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

Compiler

Compiled 812 to 586 computations (27.8% saved)

simplify155.0ms (1.8%)

Memory

14.6MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 a b) #s(literal -3/8 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
cost-diff	320	(fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
cost-diff	0	(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
cost-diff	0	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
cost-diff	0	(/.f64 b a)
cost-diff	0	(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	343
0	81	341
1	138	331
2	235	328
3	456	328
4	751	328
5	1127	328
6	1824	328
7	2946	328
8	5398	328
9	6977	328
10	7531	328
11	7716	328
12	7785	328
13	7796	328
14	7963	328
0	8018	325

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))
(fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))
(.f64 (.f64 #s(literal -3 binary64) a) c)
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))
(.f64 #s(literal -3 binary64) (.f64 c a))
#s(literal -3 binary64)
(*.f64 c a)
c
a
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
#s(literal 1/3 binary64)
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)
(fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 (/.f64 a b) #s(literal -3/8 binary64))
(/.f64 a b)
a
b
#s(literal -3/8 binary64)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))
(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
(fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))
(fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))
(.f64 (.f64 #s(literal -3 binary64) a) c)
(.f64 (.f64 c a) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) a)
(*.f64 a #s(literal -3 binary64))
#s(literal -3 binary64)
a
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b)
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 c a))
(.f64 (.f64 c a) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 c a)
c
a
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
#s(literal 1/3 binary64)
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
(fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
a
(*.f64 b b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 (fma.f64 (/.f64 c b) (.f64 #s(literal -3/8 binary64) (/.f64 a b)) #s(literal -1/2 binary64)) b) c))
(/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)
(.f64 (/.f64 (fma.f64 (/.f64 c b) (.f64 #s(literal -3/8 binary64) (/.f64 a b)) #s(literal -1/2 binary64)) b) c)
(fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))
(.f64 (fma.f64 (/.f64 c b) (.f64 #s(literal -3/8 binary64) (/.f64 a b)) #s(literal -1/2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -3/8 binary64)
(/.f64 (*.f64 c c) b)
(*.f64 c c)
c
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

localize410.0ms (4.7%)

Memory

-2.4MiB live, 237.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.9539379376012435	(/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)
accuracy	4.4643350135608575	(fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))
accuracy	5.6491988437733385	(/.f64 (*.f64 c c) b)
accuracy	38.46122841160235	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
accuracy	0.3125	(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
accuracy	4.8092659387684105	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
accuracy	14.715600913940117	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
accuracy	22.0098377606376	(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
accuracy	5.032404377427123	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
accuracy	14.715600913940117	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
accuracy	22.0098377606376	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))
accuracy	44.42746376243584	#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))
accuracy	0.0	(/.f64 b a)
accuracy	0.23828125	(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
accuracy	41.423866969449584	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
accuracy	0.24999724760556022	(fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))
accuracy	5.032404377427123	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
accuracy	14.715600913940117	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))))
accuracy	22.0098377606376	(sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))

Samples

265.0ms	44×	1	valid
73.0ms	161×	0	valid
31.0ms	45×	2	valid
5.0ms	6×	3	valid

Compiler

Compiled 652 to 94 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

ival-mult: 267.0ms (78% of total)

ival-div: 27.0ms (7.9% of total)

const: 14.0ms (4.1% of total)

ival-add: 12.0ms (3.5% of total)

ival-sqrt: 9.0ms (2.6% of total)

adjust: 7.0ms (2% of total)

ival-sub: 4.0ms (1.2% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series36.0ms (0.4%)

Memory

11.4MiB live, 49.5MiB allocated

Counts

21 → 150

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)
(*.f64 (/.f64 a b) #s(literal -3/8 binary64))
(fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))
(/.f64 (*.f64 c c) b)

Outputs
(* -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))))))))
(* -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)))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -2/3 (/ b a))
(/ b a)
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -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))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ a b))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* (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)))
(* 1/3 (* (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))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* 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)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -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)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -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))))))
(* -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 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(+ (* -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)))
(+ (* 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 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -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)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(- (pow b 2) (* 3 (* a c)))
(/ (pow c 2) 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)
(/ (+ (* -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)
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -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)))))))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -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))))))))
(* -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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -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))))))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 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))))))))
(* 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))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* 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)))
(* 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)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* 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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -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))))))
(* -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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b))
5.0ms	a	@	inf	((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b))
4.0ms	b	@	inf	((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b))
4.0ms	b	@	0	((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b))
3.0ms	a	@	-inf	((+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (* (/ a b) -3/8) (+ (* b b) (* (* -3 a) c)) (- (* b b) (* (* 3 a) c)) (/ (* c c) b))

simplify175.0ms (2%)

Memory

4.4MiB live, 199.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	740	4294
1	2399	4259
0	8151	4054

Stop Event

1×	iter limit
1×	node limit

Counts

150 → 149

Calls

Call 1

Inputs
(* -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))))))))
(* -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)))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* -2/3 (/ b a))
(/ b a)
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -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))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ a b))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* (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)))
(* 1/3 (* (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))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* 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)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -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)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -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))))))
(* -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 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(+ (* -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)))
(+ (* 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 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -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)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(- (pow b 2) (* 3 (* a c)))
(/ (pow c 2) 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)
(/ (+ (* -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)
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -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)))))))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -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))))))))
(* -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 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -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))))))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 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))))))))
(* 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))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* 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)))
(* 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)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* 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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -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))))))
(* -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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))

Outputs
(* -3/2 (/ (* a c) b))
(.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) a) (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(+ (* -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)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b)))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) a) (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b)
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/ b a)
(/.f64 b a)
(* -1/2 (/ (* a c) b))
(.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (fma.f64 (.f64 a #s(literal -3/8 binary64)) (.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 c b))) a)
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) a)
(* a (+ (* -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))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) a)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (.f64 (.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c))
(* -3/8 (/ a b))
(*.f64 (/.f64 a b) #s(literal -3/8 binary64))
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a)) a)
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a))) 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)))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a)))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
(+ (* -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 #s(literal -1/24 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 #s(literal -1/3 binary64) (/.f64 b a)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) 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)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) a)
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) a)
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 c a)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) a)
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 #s(literal -1/3 binary64) (/.f64 b a)))) a)
(* a (+ (* -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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) a)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (.f64 (*.f64 c c) a) b))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (.f64 c (/.f64 c b)) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 a #s(literal -3/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 c b) (/.f64 (.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a)
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 c a))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)
(* a (- (/ (pow b 2) a) (* 3 c)))
(.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 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))))))
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(* -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))))))
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(.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (.f64 c c))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) (.f64 c c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 3 a)))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))))
(.f64 (neg.f64 c) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) c)))
(* -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))))))
(.f64 (neg.f64 c) (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) c)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(.f64 (.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b c) a)))
(* -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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(.f64 (.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 #s(literal -1/3 binary64) b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(.f64 (neg.f64 c) (neg.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(.f64 (neg.f64 c) (neg.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c)))))

rewrite230.0ms (2.6%)

Memory

19.7MiB live, 300.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	273
0	81	271
1	285	261
2	2065	261
0	8325	261

Stop Event

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

Counts

21 → 953

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)
(*.f64 (/.f64 a b) #s(literal -3/8 binary64))
(fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a)))
(/.f64 (*.f64 c c) b)

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

eval442.0ms (5%)

Memory: -13.4MiB live, 245.8MiB allocated
Compiler: Compiled 35 375 to 3 551 computations (90% saved)

prune45.0ms (0.5%)

Memory

-29.4MiB live, 84.2MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	871	18	889
Fresh	8	5	13
Picked	1	4	5
Done	0	0	0
Total	880	27	907

Accuracy

92.8%

Counts

907 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
	21.3%	(/.f64 (-.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
	29.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))
✓	53.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
	49.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
✓	29.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
	12.1%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
▶	29.5%	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
✓	53.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
	28.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
	35.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
	28.6%	(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
	35.1%	(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
	25.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b) (.f64 (-.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))))
	29.5%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
	29.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
▶	29.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
	39.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
	39.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
▶	39.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
	35.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	34.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
	10.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (neg.f64 a)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) (.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a))))))))
✓	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
▶	35.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
	19.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))

Compiler

Compiled 1 369 to 935 computations (31.7% saved)

simplify105.0ms (1.2%)

Memory

23.8MiB live, 108.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
cost-diff	0	(/.f64 #s(literal -1 binary64) a)
cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
cost-diff	384	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
cost-diff	0	(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
cost-diff	0	(.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
cost-diff	448	(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
cost-diff	576	(/.f64 b #s(literal -1 binary64))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) c)
cost-diff	0	#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
cost-diff	0	(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
cost-diff	320	(fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	424
0	72	419
1	131	400
2	283	389
3	612	385
4	1165	385
5	3115	385
6	5265	385
7	7024	385
0	8058	382

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
(fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64)))
(neg.f64 b)
b
#s(literal 1/3 binary64)
(.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
(fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
a
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
(.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))
#s(literal -2/3 binary64)
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(/.f64 b #s(literal -1 binary64))
b
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) a)
a
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))
(.f64 (.f64 c #s(literal -3 binary64)) a)
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
a
b
#s(literal 1/3 binary64)
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))
(.f64 (.f64 c #s(literal -3 binary64)) a)
(*.f64 c #s(literal -3 binary64))
c
#s(literal -3 binary64)
b

Outputs
(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))
(fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64)))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1/3 binary64))
(neg.f64 b)
b
#s(literal 1/3 binary64)
(.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))
(fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))
(*.f64 c #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) c)
c
#s(literal -3 binary64)
a
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b))
(.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
#s(literal -2/3 binary64)
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
(/.f64 b a)
(/.f64 b #s(literal -1 binary64))
(neg.f64 b)
b
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) a)
a
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a)))))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64))
(.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a)))) #s(literal -1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a)))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a))
(.f64 (.f64 c #s(literal -3 binary64)) a)
(.f64 (.f64 #s(literal -3 binary64) c) a)
(*.f64 c #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) c)
c
#s(literal -3 binary64)
a
b
#s(literal 1/3 binary64)
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a)))))
(/.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64))
(.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a)))) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a)))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 #s(literal -3 binary64) c) a))
(.f64 (.f64 c #s(literal -3 binary64)) a)
(.f64 (.f64 #s(literal -3 binary64) c) a)
(*.f64 c #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) c)
c
#s(literal -3 binary64)
b

localize208.0ms (2.4%)

Memory

4.7MiB live, 237.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.8170784387684105	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
accuracy	14.715600913940117	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
accuracy	22.0098377606376	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
accuracy	44.42746376243584	#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))
accuracy	4.8092659387684105	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
accuracy	14.715600913940117	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
accuracy	22.0098377606376	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
accuracy	44.42746376243584	#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))
accuracy	0.0	(/.f64 #s(literal -1 binary64) a)
accuracy	0.22265625	(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
accuracy	0.23828125	(.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))
accuracy	41.423866969449584	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) c)
accuracy	0.9539379376012435	(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)
accuracy	18.399210222812307	#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
accuracy	38.46122841160235	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
accuracy	0.3515625	(.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))
accuracy	4.8092659387684105	(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
accuracy	22.0098377606376	(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
accuracy	23.22236652498077	(fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64)))

Samples

88.0ms	45×	2	valid
54.0ms	162×	0	valid
22.0ms	43×	1	valid
8.0ms	6×	3	valid

Compiler

Compiled 757 to 96 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 67.0ms (51.9% of total)

ival-div: 18.0ms (14% of total)

const: 14.0ms (10.9% of total)

ival-sqrt: 10.0ms (7.8% of total)

adjust: 7.0ms (5.4% of total)

ival-add: 7.0ms (5.4% of total)

ival-sub: 4.0ms (3.1% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series52.0ms (0.6%)

Memory

-6.4MiB live, 39.9MiB allocated

Counts

21 → 217

Calls

Call 1

Inputs
(fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
(neg.f64 b)
(.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
(/.f64 b #s(literal -1 binary64))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
(.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) a)
(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))

Outputs
(+ (* -1/3 b) (* 1/3 b))
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))
(/ (+ (* -1/3 b) (* 1/3 b)) a)
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) a)
(* 1/3 b)
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/3 b) (* a (+ (* -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))
(+ (* -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)))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(/ b a)
(* -2/3 (/ b a))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -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))))))))
(* -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))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* 1/2 (/ (* a c) b))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))))
(/ -1 a)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -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 -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))))))
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* 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))))))
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* (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)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* 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)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a)))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a))))))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (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 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c 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))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
(* -1 (* 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 (* 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)))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(+ (* 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 b)
(+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(+ (* -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)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -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)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))
(- (pow b 2) (* 3 (* a c)))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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)
(* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2)))))
(* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (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))))) 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)
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -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)))))))
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -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)))))))
(* -1/3 b)
(* -1 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) 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))))))))
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -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))))))))
(* 2/3 b)
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3)))
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a))))
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))
(* 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))))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) 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))))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (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)))))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 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)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* 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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c)))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c))))))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (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 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (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))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	a	@	-inf	((+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (neg b) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (/ b -1) (* (/ b -1) (/ -1 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3) (* (/ -1 a) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3)) (/ -1 a) (sqrt (+ (* (* c -3) a) (* b b))) (- (* b b) (* (* 3 a) c)))
8.0ms	b	@	inf	((+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (neg b) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (/ b -1) (* (/ b -1) (/ -1 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3) (* (/ -1 a) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3)) (/ -1 a) (sqrt (+ (* (* c -3) a) (* b b))) (- (* b b) (* (* 3 a) c)))
3.0ms	a	@	inf	((+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (neg b) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (/ b -1) (* (/ b -1) (/ -1 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3) (* (/ -1 a) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3)) (/ -1 a) (sqrt (+ (* (* c -3) a) (* b b))) (- (* b b) (* (* 3 a) c)))
3.0ms	c	@	-inf	((+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (neg b) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (/ b -1) (* (/ b -1) (/ -1 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3) (* (/ -1 a) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3)) (/ -1 a) (sqrt (+ (* (* c -3) a) (* b b))) (- (* b b) (* (* 3 a) c)))
3.0ms	b	@	0	((+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (neg b) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) b) (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (* -1/2 c) (/ b -1) (* (/ b -1) (/ -1 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (* (/ b -1) (/ -1 a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3) (* (/ -1 a) (/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) -3)) (/ -1 a) (sqrt (+ (* (* c -3) a) (* b b))) (- (* b b) (* (* 3 a) c)))

simplify193.0ms (2.2%)

Memory

-17.5MiB live, 252.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	937	6606
1	3123	6529
0	8367	6204

Stop Event

1×	iter limit
1×	node limit

Counts

217 → 216

Calls

Call 1

Inputs
(+ (* -1/3 b) (* 1/3 b))
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))
(/ (+ (* -1/3 b) (* 1/3 b)) a)
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) a)
(* 1/3 b)
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/3 b) (* a (+ (* -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))
(+ (* -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)))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(/ b a)
(* -2/3 (/ b a))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -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))))))))
(* -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))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* 1/2 (/ (* a c) b))
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))))
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))))
(/ -1 a)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -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 -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))))))
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* 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))))))
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* (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)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* 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)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a)))))
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a))))))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (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 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c 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))))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))))
(* -1 (* 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 (* 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)))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(+ (* 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 b)
(+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(+ (* -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)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -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)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))))))
(- (pow b 2) (* 3 (* a c)))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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)
(* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2)))))
(* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (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))))) 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)
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -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)))))))
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b)
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -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)))))))
(* -1/3 b)
(* -1 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) 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))))))))
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -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))))))))
(* 2/3 b)
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3)))
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3)))
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a))))
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))
(* 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))))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) 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))))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5)))))))
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5)))))))))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (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)))))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 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)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* 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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c)))))
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c))))))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (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 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (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))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))

Outputs
(+ (* -1/3 b) (* 1/3 b))
#s(literal 0 binary64)
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b) #s(literal 0 binary64))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64))
(/ (+ (* -1/3 b) (* 1/3 b)) a)
(/.f64 #s(literal 0 binary64) a)
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64)) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64)) a)
(* 1/3 b)
(*.f64 #s(literal 1/3 binary64) b)
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b))
(fma.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64) (.f64 #s(literal 1/3 binary64) b))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (.f64 #s(literal 1/3 binary64) b))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 #s(literal 1/3 binary64) b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -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)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) a) (/.f64 (.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 -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) a) b) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c))
(/ b a)
(/.f64 b a)
(* -2/3 (/ b a))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(* -1/2 (/ (* a c) b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(* a (+ (* -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))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) a) (/.f64 (.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 -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(* -3/2 (/ (* a c) b))
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(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (/.f64 b c) #s(literal 1/3 binary64)))) c)
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c))))))
(.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (/.f64 b c) #s(literal 1/3 binary64))))) c)
(* c (- (/ (pow b 2) c) (* 3 a)))
(.f64 (-.f64 (/.f64 (.f64 b b) c) (*.f64 #s(literal 3 binary64) a)) c)
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(.f64 (.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 #s(literal -1/3 binary64) b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(.f64 (.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/48 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))))))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (neg.f64 b)) (neg.f64 c))))
(* -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))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c)))))
(.f64 (.f64 (neg.f64 c) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 #s(literal 1/3 binary64) b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (.f64 b b) c) #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) a)))

rewrite228.0ms (2.6%)

Memory

22.4MiB live, 302.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	320
0	72	315
1	265	290
2	2009	290
0	8524	287

Stop Event

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

Counts

21 → 783

Calls

Call 1

Inputs
(fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
(neg.f64 b)
(.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b)
#s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
(/.f64 b #s(literal -1 binary64))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
(.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) a)
(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))

Outputs
(.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) (fma.f64 b b (+.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))))
(.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) b) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 #s(literal 1/9 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))) (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1 binary64)))
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(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) a) c) (fma.f64 (.f64 #s(literal 3 binary64) a) c (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)) b) b))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) a) c) (fma.f64 (.f64 #s(literal 3 binary64) a) c (.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)) b) b))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 b) b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 3 binary64) a) c (.f64 b b)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) a) c) (fma.f64 (.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) b) b))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 (neg.f64 b) b)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) a) c (.f64 b b)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) a) c) (fma.f64 (.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) b) b))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 (neg.f64 b) b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 b b) (.f64 a (*.f64 #s(literal -3 binary64) c)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 3 binary64) a) c (.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a (*.f64 #s(literal -3 binary64) c)) b) b)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) a) c) (fma.f64 (.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) b) b)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 (neg.f64 b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 3 binary64) a) c (.f64 b b))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) a) c) (fma.f64 (.f64 #s(literal 3 binary64) a) c (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -3 binary64) (.f64 (neg.f64 b) b))) (sqrt.f64 (-.f64 (pow.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 a (.f64 #s(literal -3 binary64) c)) b) b)))) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
(fabs.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))))
(.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c))) #s(literal 1 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c))) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c))))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))))

eval119.0ms (1.4%)

Memory: 7.2MiB live, 199.9MiB allocated
Compiler: Compiled 39 103 to 3 610 computations (90.8% saved)

prune76.0ms (0.9%)

Memory

-2.9MiB live, 125.3MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	967	17	984
Fresh	2	16	18
Picked	4	1	5
Done	0	4	4
Total	973	38	1 011

Accuracy

92.8%

Counts

1 011 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
	29.6%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) #s(literal 3 binary64)) a)
	21.3%	(/.f64 (-.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
	29.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))
✓	53.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
	49.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
✓	29.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
	12.1%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
▶	29.5%	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
	12.1%	(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) b) #s(literal 1/3 binary64)) a)
	31.4%	(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
✓	53.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
	35.1%	(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
▶	11.2%	(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
	28.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
	35.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
	31.4%	(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
	28.6%	(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
	25.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b) (.f64 (-.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))))
	29.5%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
	29.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
	35.2%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
	35.1%	(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
	29.5%	(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) a)))
	34.9%	#s(approx (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
▶	39.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
	39.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
✓	39.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
	39.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
	35.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	39.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
	10.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (neg.f64 a)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) (.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a))))))))
✓	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
▶	35.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
	19.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))))))
	19.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
	17.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 b #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) #s(literal -1 binary64))))

Compiler

Compiled 1 970 to 1 387 computations (29.6% saved)

simplify104.0ms (1.2%)

Memory

-5.1MiB live, 75.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c)
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
cost-diff	320	(fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c))))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
cost-diff	0	(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
cost-diff	0	(.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a)))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) b) a)
cost-diff	832	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
cost-diff	0	#s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
cost-diff	192	(fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	361
0	84	351
1	146	333
2	264	326
3	527	326
4	1137	326
5	2523	326
6	4281	326
7	6590	326
0	8096	323

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
(fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))
b
#s(literal -1/3 binary64)
(.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64))
#s(literal 0 binary64)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a)))
#s(literal -2/3 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) b) a)
(/.f64 #s(literal -1 binary64) b)
b
a
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c))))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))
(.f64 #s(literal -3 binary64) (.f64 a c))
#s(literal -3 binary64)
(*.f64 a c)
a
c
b
#s(literal 1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b)
(fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c))
(.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c)
(*.f64 #s(literal -3/8 binary64) (/.f64 a b))
#s(literal -3/8 binary64)
(/.f64 a b)
a
b
c
(/.f64 c b)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

Outputs
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))
(fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal -1/3 binary64))
b
#s(literal -1/3 binary64)
(.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))
(fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b))
(fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))
a
(*.f64 #s(literal -3 binary64) c)
(*.f64 c #s(literal -3 binary64))
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64))
#s(literal 0 binary64)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a)))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(/.f64 b a)
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) b) a)
(/.f64 a (neg.f64 b))
(/.f64 #s(literal -1 binary64) b)
b
a
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64))
(.f64 (-.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))) #s(literal -1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c))))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 a c))
(.f64 (.f64 c a) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
b
#s(literal 1/3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (/.f64 a b) #s(literal -1/2 binary64)) b) c))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b)
(.f64 (/.f64 (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (/.f64 a b) #s(literal -1/2 binary64)) b) c)
(fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c))
(.f64 (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c)
(.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) c)
(*.f64 #s(literal -3/8 binary64) (/.f64 a b))
(*.f64 (/.f64 a b) #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
(/.f64 a b)
a
b
c
(/.f64 c b)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)

localize206.0ms (2.4%)

Memory

13.8MiB live, 283.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(*.f64 #s(literal -3/8 binary64) (/.f64 a b))
accuracy	0.9539379376012435	(/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b)
accuracy	5.4727922694049616	(.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c)
accuracy	38.46122841160235	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
accuracy	4.8092659387684105	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
accuracy	14.715600913940117	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
accuracy	22.0098377606376	(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c))))
accuracy	44.42746376243584	#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))
accuracy	0.203125	(*.f64 (/.f64 #s(literal -1 binary64) b) a)
accuracy	0.23828125	(.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a)))
accuracy	0.31332207530934314	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
accuracy	41.423866969449584	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
accuracy	4.8092659387684105	(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
accuracy	53.753906960930884	#s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64))
accuracy	0.3515625	(.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))
accuracy	4.8092659387684105	(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
accuracy	22.0098377606376	(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
accuracy	23.22236652498077	(fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))

Samples

73.0ms	162×	0	valid
50.0ms	45×	2	valid
28.0ms	43×	1	valid
9.0ms	6×	3	valid

Compiler

Compiled 672 to 113 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 48.0ms (38.7% of total)

const: 19.0ms (15.3% of total)

ival-div: 19.0ms (15.3% of total)

ival-sqrt: 12.0ms (9.7% of total)

ival-add: 11.0ms (8.9% of total)

adjust: 9.0ms (7.3% of total)

ival-sub: 4.0ms (3.2% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series35.0ms (0.4%)

Memory

-30.9MiB live, 54.1MiB allocated

Counts

20 → 188

Calls

Call 1

Inputs
(fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
(.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(*.f64 (/.f64 #s(literal -1 binary64) b) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a)))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c))))
(fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b)
(.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c)
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))
(*.f64 #s(literal -3/8 binary64) (/.f64 a b))

Outputs
(+ (* -1/3 b) (* 1/3 b))
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))
(/ (+ (* -1/3 b) (* 1/3 b)) a)
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) a)
(* 1/3 b)
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(/ b a)
(* -1 (/ a b))
(* -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)))))))
(* -2/3 (/ b a))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -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))))))))
(* -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))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ (* a c) b))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* -3/8 (/ a b))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
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(/ (+ (* -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)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
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(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
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(* -1/3 b)
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(* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(* -1 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	((+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) (/ (+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) a) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3) (sqrt (+ (* a (* -3 c)) (* b b))) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ -1 (* (/ -1 b) a)) (* (/ -1 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ -1 (* (/ -1 b) a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) b) (* (* -3/8 (/ a b)) c) (- (* b b) (* (* 3 a) c)) (* -3/8 (/ a b)))
3.0ms	b	@	inf	((+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) (/ (+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) a) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3) (sqrt (+ (* a (* -3 c)) (* b b))) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ -1 (* (/ -1 b) a)) (* (/ -1 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ -1 (* (/ -1 b) a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) b) (* (* -3/8 (/ a b)) c) (- (* b b) (* (* 3 a) c)) (* -3/8 (/ a b)))
3.0ms	a	@	-inf	((+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) (/ (+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) a) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3) (sqrt (+ (* a (* -3 c)) (* b b))) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ -1 (* (/ -1 b) a)) (* (/ -1 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ -1 (* (/ -1 b) a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) b) (* (* -3/8 (/ a b)) c) (- (* b b) (* (* 3 a) c)) (* -3/8 (/ a b)))
3.0ms	a	@	0	((+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) (/ (+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) a) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3) (sqrt (+ (* a (* -3 c)) (* b b))) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ -1 (* (/ -1 b) a)) (* (/ -1 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ -1 (* (/ -1 b) a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) b) (* (* -3/8 (/ a b)) c) (- (* b b) (* (* 3 a) c)) (* -3/8 (/ a b)))
3.0ms	b	@	0	((+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) (/ (+ (* b -1/3) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3)) a) (* (sqrt (+ (* a (* -3 c)) (* b b))) 1/3) (sqrt (+ (* a (* -3 c)) (* b b))) (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (/ -1 (* (/ -1 b) a)) (* (/ -1 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ -1 (* (/ -1 b) a))) (/ (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) a) (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (- (sqrt (- (* b b) (* (* 3 a) c))) b) (sqrt (- (* b b) (* (* 3 a) c))) (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (* -3/8 (/ a b)) c) (/ c b)) (* -1/2 c)) b) (* (* -3/8 (/ a b)) c) (- (* b b) (* (* 3 a) c)) (* -3/8 (/ a b)))

simplify215.0ms (2.4%)

Memory

8.7MiB live, 295.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	5644
1	2663	5575
0	8356	5298

Stop Event

1×	iter limit
1×	node limit

Counts

188 → 187

Calls

Call 1

Inputs
(+ (* -1/3 b) (* 1/3 b))
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))
(/ (+ (* -1/3 b) (* 1/3 b)) a)
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) a)
(* 1/3 b)
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(/ b a)
(* -1 (/ a b))
(* -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)))))))
(* -2/3 (/ b a))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -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))))))))
(* -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))))))))
(* -1/2 c)
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))
(* -3/8 (/ (* a c) b))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* -3/8 (/ a b))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -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 -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))))))
(* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* 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))))))
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* 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)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (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)))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (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 (* a (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (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))))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(+ (* 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)))))
(+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* (pow b 2) (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -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)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
(+ (* -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)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(- (pow b 2) (* 3 (* a c)))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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)
(* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2)))))
(* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -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)) (* -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)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -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)))))))
(* -1/3 b)
(* -1 (* b (+ 1/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -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))))))))
(* -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))))))))
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))))
(+ (* -1/3 b) (+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))))
(+ (* -1/2 (/ c b)) (+ (* -1/3 (/ b a)) (* 1/3 (/ b a))))
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))))
(+ (* -1/3 (/ b a)) (+ (* 1/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))))
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 1/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* c (- (* -3/8 (/ (* 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))))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) 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))))))))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (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)))))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* 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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (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)))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (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 (* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* -1 (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/48 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (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))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))

Outputs
(+ (* -1/3 b) (* 1/3 b))
#s(literal 0 binary64)
(+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b) #s(literal 0 binary64))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64))
(+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64))
(/ (+ (* -1/3 b) (* 1/3 b)) a)
(/.f64 #s(literal 0 binary64) a)
(/ (+ (* -1/2 (/ (* a c) b)) (+ (* -1/3 b) (* 1/3 b))) a)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64)) a)
(/ (+ (* -1/3 b) (+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64)) a)
(* 1/3 b)
(*.f64 #s(literal 1/3 binary64) b)
(+ (* -1/2 (/ (* a c) b)) (* 1/3 b))
(fma.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64) (.f64 #s(literal 1/3 binary64) b))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (.f64 #s(literal 1/3 binary64) b))
(+ (* 1/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 #s(literal 1/3 binary64) b))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal -9/8 binary64) a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b)
(/ b a)
(/.f64 b a)
(* -1 (/ a b))
(/.f64 (neg.f64 a) b)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(+ (* -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)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(* -2/3 (/ b a))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(* -1/2 (/ (* a c) b))
(.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(* a (+ (* -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))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -3/8 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a)
(* -3/2 (/ (* a c) b))
(.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
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(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (neg.f64 b)) (neg.f64 c))))
(* -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))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (.f64 b b) c) #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) a)))

rewrite208.0ms (2.4%)

Memory

20.1MiB live, 216.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	305
0	84	295
1	302	273
2	1972	273
0	8275	273

Stop Event

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

Counts

20 → 656

Calls

Call 1

Inputs
(fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
(.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (.f64 b b)))
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
(*.f64 (/.f64 #s(literal -1 binary64) b) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a)))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c))))
(fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b)
(.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c)
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))
(*.f64 #s(literal -3/8 binary64) (/.f64 a b))

Outputs
(.f64 (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))
(.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b) (fma.f64 b b (+.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))))
(.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) (.f64 #s(literal 1/9 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) #s(literal 1/3 binary64) (neg.f64 (*.f64 #s(literal -1/3 binary64) b)))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 b b) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 (.f64 #s(literal 1/3 binary64) b) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) #s(literal 1/3 binary64))))))))
(.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))) (pow.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))
(.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 (.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))))
(.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 b b) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 (.f64 #s(literal 1/3 binary64) b) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (fma.f64 b b (+.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))))))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal -1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b) #s(literal 1/3 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))))
(.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))
(pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) (fma.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) (.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) (.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) (.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64))) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (fma.f64 #s(literal 1/9 binary64) (.f64 b b) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) b)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) (.f64 #s(literal 1/9 binary64) (.f64 b b)))) (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) #s(literal 1/3 binary64) (neg.f64 (.f64 #s(literal -1/3 binary64) b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) (neg.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 b b) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 (.f64 #s(literal 1/3 binary64) b) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))) (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))) (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))) (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))) (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) (.f64 #s(literal 1/9 binary64) (.f64 b b))) (fma.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) #s(literal 1/3 binary64) (neg.f64 (.f64 #s(literal -1/3 binary64) b))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))) (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 (.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 b b) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 (.f64 #s(literal 1/3 binary64) b) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b))) #s(literal 3 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))) (neg.f64 (.f64 #s(literal 3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (.f64 #s(literal 3 binary64) (fma.f64 b b (+.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))) (.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) (.f64 #s(literal 3 binary64) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 b b)) (.f64 (.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) b) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (.f64 b b) (fma.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 (.f64 #s(literal 1/3 binary64) b) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) #s(literal 3/2 binary64))) (.f64 #s(literal 3 binary64) (fma.f64 b b (+.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))))))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b)) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) #s(literal 1/3 binary64) (neg.f64 (.f64 #s(literal -1/3 binary64) b))) (-.f64 (.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) (.f64 #s(literal 1/9 binary64) (.f64 b b)))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c) (*.f64 #s(literal -1/2 binary64) c))) b))
(neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c) (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c)) #s(literal 2 binary64)) (.f64 b (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c) (.f64 #s(literal 1/2 binary64) c)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 2 binary64)) (.f64 b (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c) (.f64 #s(literal 1/2 binary64) c)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c)) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c) (.f64 #s(literal 1/2 binary64) c))) b) (/.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 2 binary64)) (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c) (.f64 #s(literal 1/2 binary64) c))) b))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c) (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))
(exp.f64 (.f64 (log.f64 (/.f64 b (fma.f64 (.f64 (/.f64 c b) #s(literal -3/8 binary64)) (.f64 (/.f64 a b) c) (.f64 #s(literal -1/2 binary64) c)))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 #s(literal -3/8 binary64) a) c) (pow.f64 b #s(literal -1 binary64)))
(.f64 (.f64 c (*.f64 #s(literal -3/8 binary64) a)) (pow.f64 b #s(literal -1 binary64)))
(.f64 (.f64 c #s(literal -3/8 binary64)) (/.f64 a b))
(.f64 (.f64 (/.f64 a b) c) #s(literal -3/8 binary64))
(.f64 (/.f64 a b) (.f64 #s(literal -3/8 binary64) c))
(.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) c)
(.f64 #s(literal -3/8 binary64) (.f64 (/.f64 a b) c))
(.f64 c (.f64 (/.f64 a b) #s(literal -3/8 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -3/8 binary64) a) c)) (neg.f64 b))
(/.f64 (neg.f64 (.f64 c (.f64 #s(literal -3/8 binary64) a))) (neg.f64 b))
(/.f64 (.f64 (.f64 #s(literal -3/8 binary64) a) c) b)
(/.f64 (.f64 c (.f64 #s(literal -3/8 binary64) a)) b)
(/.f64 (*.f64 c #s(literal -3/8 binary64)) (/.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 b (.f64 (.f64 #s(literal -3/8 binary64) a) c)))
(/.f64 #s(literal 1 binary64) (/.f64 b (.f64 c (.f64 #s(literal -3/8 binary64) a))))
(/.f64 c (/.f64 b (*.f64 #s(literal -3/8 binary64) a)))
(.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))) #s(literal 1 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))))
(.f64 (/.f64 #s(literal -3/8 binary64) b) (.f64 a #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (/.f64 a (neg.f64 b)))
(.f64 (.f64 (neg.f64 a) #s(literal -3/8 binary64)) (/.f64 #s(literal -1 binary64) b))
(.f64 (.f64 #s(literal -3/8 binary64) (neg.f64 a)) (/.f64 #s(literal -1 binary64) b))
(.f64 (.f64 a #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) b))
(.f64 (neg.f64 (.f64 #s(literal -3/8 binary64) a)) (/.f64 #s(literal -1 binary64) b))
(.f64 (.f64 #s(literal -3/8 binary64) a) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (/.f64 a b) #s(literal -3/8 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 a b) #s(literal -3/8 binary64)))
(*.f64 #s(literal -3/8 binary64) (/.f64 a b))
(*.f64 (/.f64 a (neg.f64 b)) #s(literal 3/8 binary64))
(.f64 a (.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -3/8 binary64)))
(pow.f64 (/.f64 b (*.f64 #s(literal -3/8 binary64) a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal -3/8 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 a))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) a))) (neg.f64 (neg.f64 b)))
(/.f64 #s(literal 3/8 binary64) (neg.f64 (/.f64 b a)))
(/.f64 (*.f64 (neg.f64 a) #s(literal -3/8 binary64)) (neg.f64 b))
(/.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 a)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) a)) (neg.f64 b))
(/.f64 (*.f64 #s(literal -3/8 binary64) a) b)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -3/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 #s(literal -3/8 binary64) (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 #s(literal -3/8 binary64) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) #s(literal -3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal -3/8 binary64) a)))
(/.f64 #s(literal -3/8 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (*.f64 #s(literal -3/8 binary64) a))))

eval331.0ms (3.8%)

Memory: 4.3MiB live, 158.3MiB allocated
Compiler: Compiled 33 928 to 3 379 computations (90% saved)

prune215.0ms (2.5%)

Memory

12.1MiB live, 88.9MiB allocated

Pruning

40 alts after pruning (31 fresh and 9 done)

	Pruned	Kept	Total
New	835	6	841
Fresh	3	25	28
Picked	0	5	5
Done	1	4	5
Total	839	40	879

Accuracy

92.8%

Counts

879 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
	9.2%	(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) #s(literal 1/3 binary64))) a)
	29.6%	(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) #s(literal 3 binary64)) a)
	21.3%	(/.f64 (-.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
	29.5%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
	29.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))
✓	53.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
	49.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
	12.1%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
✓	29.5%	(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
	12.1%	(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) b) #s(literal 1/3 binary64)) a)
	31.4%	(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)
✓	53.2%	(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
	35.1%	(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
✓	11.2%	(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
	28.6%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
	35.2%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
	31.4%	(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
	28.6%	(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
	25.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b) (.f64 (-.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))))
	29.5%	(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
	29.5%	(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
	35.2%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
	35.1%	(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
	29.5%	(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) a)))
	34.9%	#s(approx (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
✓	39.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
	39.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
✓	39.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
	39.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
	35.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
	39.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
	10.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (neg.f64 a)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) (.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a))))))))
✓	35.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
✓	35.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
	19.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))))))
	19.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
	17.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 b #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) #s(literal -1 binary64))))

Compiler

Compiled 2 636 to 1 085 computations (58.8% saved)

regimes321.0ms (3.7%)

Memory

-20.5MiB live, 186.3MiB allocated

Counts

60 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) #s(literal 1/3 binary64))) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.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 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (fma.f64 #s(literal -3 binary64) c (.f64 b (/.f64 b a))) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) a)))
(/.f64 (-.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b b)) (.f64 (.f64 #s(literal 3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b))) b) (.f64 (-.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (.f64 b b)) (.f64 b b)) (/.f64 #s(literal 1/3 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (.f64 (log.f64 (/.f64 b #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (neg.f64 a)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (neg.f64 a)) (fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) (.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b (neg.f64 a))))))))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 3 binary64)) (.f64 b b))) (.f64 b b))) (*.f64 #s(literal 3 binary64) a))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))

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

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))

Calls

5 calls:

107.0ms	(*.f64 #s(literal 3 binary64) a)
17.0ms	a
17.0ms	b
15.0ms	c
15.0ms	(/.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))

Results

Accuracy	Segments	Branch
57.5%	3	`a`
88.2%	3	`b`
53.4%	1	`c`
75.3%	4	`(/.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))`
57.5%	3	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes16.0ms (0.2%)

Memory

-6.9MiB live, 32.2MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) #s(literal 1/3 binary64))) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/3 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 (/.f64 (.f64 c a) b) b) #s(literal -3/8 binary64) #s(literal -1/2 binary64)) c)) b))
(/.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 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal -3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 1/3 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1/3 binary64))) a)
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))

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

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
88.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.2%)

Memory

-10.8MiB live, 28.3MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) #s(literal 1/3 binary64))) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (*.f64 a #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) #s(literal 3 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))

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

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
88.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) #s(literal 1/3 binary64))) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a)

Outputs

(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)

(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
88.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

-16.0MiB live, 23.3MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) a) (.f64 (neg.f64 b) (fma.f64 (/.f64 c (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (.f64 (-.f64 #s(approx (sqrt (- ( b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) b) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 c a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 3 binary64) a))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 a (.f64 #s(literal -3 binary64) c)))) b) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (fma.f64 b #s(literal -1/3 binary64) (.f64 #s(approx (sqrt (+ ( a (* -3 c)) (* b b))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) #s(literal 1/3 binary64))) a)

Outputs

(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))

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

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
83.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (*.f64 #s(literal 3 binary64) a))

Outputs

(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))

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

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
83.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

-23.7MiB live, 18.2MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)
(.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b))
(.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) a) #s(literal 1/3 binary64))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 #s(literal -3 binary64) (.f64 a c)))) b) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a)

Outputs

(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))

(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
83.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (neg.f64 #s(approx (+ ( (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (/.f64 #s(literal -1 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2/3 binary64) b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 b #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) b) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (*.f64 #s(literal -2 binary64) b)) #s(literal -3 binary64)))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 (.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 a c) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) 1/3) (.f64 (/.f64 (.f64 c a) b) #s(literal -1/2 binary64))) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1/3 binary64)) a)
(/.f64 (.f64 #s(approx (- (sqrt (- ( b b) (* (* 3 a) c))) b) (.f64 #s(literal -3/2 binary64) (/.f64 (.f64 c a) b))) #s(literal 1/3 binary64)) a)

Outputs

(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
72.4%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))
(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (/ (- (sqrt (- ( b b) (* (* 3 a) c))) b) -3) (*.f64 #s(literal 2/3 binary64) b)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
72.4%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (* (/ a b) -3/8) (/ (* c c) b)) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a)
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) (*.f64 #s(literal -2/3 binary64) b)) a)

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.4%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

-22.8MiB live, 16.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))

(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)

Calls

5 calls:

2.0ms	c
2.0ms	a
2.0ms	(*.f64 #s(literal 3 binary64) a)
2.0ms	b
1.0ms	(/.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))

Results

Accuracy	Segments	Branch
35.2%	1	`c`
35.2%	1	`a`
35.2%	1	`(*.f64 #s(literal 3 binary64) a)`
35.2%	1	`(/.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))`
43.8%	2	`b`

Compiler

Compiled 23 to 26 computations (-13% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)

Outputs
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)

Calls

5 calls:

1.0ms	(*.f64 #s(literal 3 binary64) a)
1.0ms	a
1.0ms	b
1.0ms	c
1.0ms	(/.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))

Results

Accuracy	Segments	Branch
11.2%	1	`a`
11.2%	1	`(/.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))`
11.2%	1	`(*.f64 #s(literal 3 binary64) a)`
11.2%	1	`c`
11.2%	1	`b`

Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch54.0ms (0.6%)

Memory

-2.6MiB live, 73.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.7117969785090092e-124	1.0207934336649863e-114
21.0ms	-1.4732703725896772e+104	-2.829136858783942e+94

Samples

25.0ms	271×	0	valid
4.0ms	59×	0	invalid
3.0ms	25×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 860 to 661 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.8% of total)

ival-div: 3.0ms (15.4% of total)

ival-sqrt: 3.0ms (15.4% of total)

ival-sub: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

ival-neg: 2.0ms (10.2% of total)

adjust: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7117969785090092e-124	1.0207934336649863e-114
1.0ms	-1.4732703725896772e+104	-2.829136858783942e+94

Compiler

Compiled 761 to 607 computations (20.2% saved)

bsearch7.0ms (0.1%)

Memory

-32.6MiB live, 9.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7117969785090092e-124	1.0207934336649863e-114
1.0ms	-1.4732703725896772e+104	-2.829136858783942e+94

Compiler

Compiled 742 to 588 computations (20.8% saved)

bsearch42.0ms (0.5%)

Memory

22.5MiB live, 60.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
25.0ms	3.3564247045268e-141	5.326289852643902e-137
13.0ms	-6.015890409129913e+153	-1.6285114187978975e+152

Samples

19.0ms	206×	0	valid
4.0ms	31×	1	valid
3.0ms	35×	0	invalid
1.0ms	3×	2	valid

Compiler

Compiled 569 to 468 computations (17.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (48.4% of total)

ival-div: 2.0ms (10.8% of total)

ival-sub: 2.0ms (10.8% of total)

ival-sqrt: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

adjust: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory

-9.7MiB live, 28.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3564247045268e-141	5.326289852643902e-137
19.0ms	-1.726153321072673e-59	-2.502545360577072e-61

Samples

13.0ms	112×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 681 to 550 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sqrt: 5.0ms (48.1% of total)

ival-mult: 2.0ms (19.2% of total)

ival-div: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

ival-sub: 1.0ms (9.6% of total)

ival-neg: 1.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7117969785090092e-124	1.0207934336649863e-114
1.0ms	-1.726153321072673e-59	-2.502545360577072e-61

Compiler

Compiled 726 to 585 computations (19.4% saved)

bsearch3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.3564247045268e-141	5.326289852643902e-137
1.0ms	-1.726153321072673e-59	-2.502545360577072e-61

Compiler

Compiled 681 to 550 computations (19.2% saved)

bsearch31.0ms (0.4%)

Memory

2.2MiB live, 39.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-3.916226218233494e-302	2.310402889119889e-299

Samples

12.0ms	160×	0	valid
5.0ms	65×	0	invalid

Compiler

Compiled 460 to 368 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37.7% of total)

ival-div: 1.0ms (9.4% of total)

ival-add: 1.0ms (9.4% of total)

ival-sub: 1.0ms (9.4% of total)

ival-sqrt: 1.0ms (9.4% of total)

ival-neg: 1.0ms (9.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.916226218233494e-302	2.310402889119889e-299

Compiler

Compiled 490 to 368 computations (24.9% saved)

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.916226218233494e-302	2.310402889119889e-299

Compiler

Compiled 480 to 358 computations (25.4% saved)

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-3.916226218233494e-302	2.310402889119889e-299

Compiler

Compiled 460 to 368 computations (20% saved)

simplify111.0ms (1.3%)

Memory

-17.3MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	722
1	164	700
2	228	700
3	348	700
4	480	700
5	718	700
6	1326	700
7	2110	700
8	4142	700
9	5235	700
10	5797	700
11	5954	700
12	6377	700
13	7175	700

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -359999999999999988739782276303813509310380357722887559390971167531567678704383094787631648021452074749426437413241968594029002001637957820156404693991424 binary64)) (/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 #s(literal -2/3 binary64) b)) a) (if (<=.f64 b #s(literal 1361730492884795/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -1696173182187249/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 1361730492884795/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -1696173182187249/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -1696173182187249/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 1361730492884795/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (/.f64 #s(approx (+ ( (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)

Outputs
(if (<=.f64 b #s(literal -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -3/8 binary64) (/.f64 a b)) c) (/.f64 c b) (*.f64 #s(literal -1/2 binary64) c)) b))))
(if (<=.f64 b #s(literal -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 (.f64 #s(literal -3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) (if (<=.f64 b #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b) (.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -359999999999999988739782276303813509310380357722887559390971167531567678704383094787631648021452074749426437413241968594029002001637957820156404693991424 binary64)) (/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (.f64 #s(literal -2/3 binary64) b)) a) (if (<=.f64 b #s(literal 1361730492884795/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -1696173182187249/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 1361730492884795/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c a) #s(literal -3 binary64)))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -1696173182187249/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 2772669694120815/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -1696173182187249/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 1361730492884795/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) (.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 3 a) c)) (.f64 (.f64 c #s(literal -3 binary64)) a))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (.f64 #s(literal -2 binary64) b)) (.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 a)) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (/.f64 #s(approx (+ ( (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 #s(literal -2/3 binary64) (/.f64 b a))) (/.f64 #s(approx ( 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) #s(literal 0 binary64)) a))
(/.f64 #s(approx (+ (* (neg b) 1/3) (* (sqrt (+ (* (* c -3) a) (* b b))) 1/3)) #s(literal 0 binary64)) a)
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) #s(literal 0 binary64)) a)

soundness1.4s (15.9%)

Memory

31.9MiB live, 922.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	320
0	72	315
1	265	290
2	2009	290
0	8524	287
0	56	305
0	84	295
1	302	273
2	1972	273
0	8275	273
0	49	273
0	81	271
1	285	261
2	2065	261
0	8325	261
0	937	6606
1	3123	6529
0	8367	6204
0	560	3039
1	1767	3016
2	6275	2974
0	8498	2826
0	12	51
0	20	51
1	71	49
2	525	48
3	6871	48
0	8160	44
0	740	4294
1	2399	4259
0	8151	4054

Stop Event

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

Compiler

Compiled 1 521 to 662 computations (56.5% saved)

preprocess91.0ms (1%)

Memory: 13.0MiB live, 132.2MiB allocated
Compiler: Compiled 1 474 to 256 computations (82.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze129.0ms (1.5%)

sample1.5s (17.2%)

explain186.0ms (2.1%)

preprocess155.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify78.0ms (0.9%)

localize87.0ms (1%)

series46.0ms (0.5%)

simplify229.0ms (2.6%)

rewrite202.0ms (2.3%)

eval140.0ms (1.6%)

prune26.0ms (0.3%)

simplify155.0ms (1.8%)

localize410.0ms (4.7%)

series36.0ms (0.4%)

simplify175.0ms (2%)

rewrite230.0ms (2.6%)

eval442.0ms (5%)

prune45.0ms (0.5%)

simplify105.0ms (1.2%)

localize208.0ms (2.4%)

series52.0ms (0.6%)

simplify193.0ms (2.2%)

rewrite228.0ms (2.6%)

eval119.0ms (1.4%)

prune76.0ms (0.9%)

simplify104.0ms (1.2%)

localize206.0ms (2.4%)

series35.0ms (0.4%)

simplify215.0ms (2.4%)

rewrite208.0ms (2.4%)

eval331.0ms (3.8%)

prune215.0ms (2.5%)

regimes321.0ms (3.7%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch54.0ms (0.6%)

bsearch3.0ms (0%)

bsearch7.0ms (0.1%)

bsearch42.0ms (0.5%)

bsearch22.0ms (0.3%)

bsearch3.0ms (0%)

bsearch3.0ms (0%)

bsearch31.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify111.0ms (1.3%)

soundness1.4s (15.9%)

preprocess91.0ms (1%)

end0.0ms (0%)

Profiling