Metrics for Quadratic roots, full range

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze170.0ms (2.1%)

Memory

30.0MiB live, 222.9MiB allocated; 52ms collecting garbage

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 16 computations (15.8% saved)

sample2.2s (26.9%)

Memory

45.3MiB live, 3 458.2MiB allocated; 673ms collecting garbage

Samples

631.0ms	5 497×	0	valid
459.0ms	1 180×	2	valid
301.0ms	1 378×	1	valid
176.0ms	952×	0	invalid
66.0ms	201×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 468.0ms (36.9% of total)

adjust: 196.0ms (15.5% of total)

ival-sqrt: 143.0ms (11.3% of total)

ival-add: 142.0ms (11.2% of total)

ival-div: 139.0ms (11% of total)

ival-neg: 83.0ms (6.6% of total)

ival-sub: 75.0ms (5.9% of total)

exact: 10.0ms (0.8% of total)

ival-true: 7.0ms (0.6% of total)

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

Bogosity

explain243.0ms (3%)

Memory

-24.5MiB live, 354.7MiB allocated; 35ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
105	-	3	(-8.689302885947967e-253 1.06089960129053e-156 -4.864007017066424e-263)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
67	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
11	-	0	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
7	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	98	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	98
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	26
↳	`(*.f64 b b)`	overflow	83
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	67	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	11	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	4
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	25
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	39
↳	`(*.f64 b b)`	underflow	35
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	7	0
↳	`(*.f64 b b)`	overflow	83
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	26
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	4	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	4
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	39
↳	`(*.f64 b b)`	underflow	35

Confusion

	Predicted +	Predicted -
+	121	2
-	23	110

Precision

0.8402777777777778

Recall

0.983739837398374

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	2
-	23	0	110

Precision?

0.8402777777777778

Recall?

0.983739837398374

Freqs

test

number	freq
0	112
1	107
2	31
3	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	78×	2	valid
31.0ms	330×	0	valid
19.0ms	92×	1	valid
4.0ms	12×	3	valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 37.0ms (52.6% of total)

adjust: 8.0ms (11.4% of total)

ival-sub: 6.0ms (8.5% of total)

ival-div: 6.0ms (8.5% of total)

ival-sqrt: 6.0ms (8.5% of total)

ival-add: 4.0ms (5.7% of total)

ival-neg: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess66.0ms (0.8%)

Memory

-21.5MiB live, 36.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	158
1	172	151
2	492	151
3	938	151
4	1378	151
5	1569	151
6	1693	151
0	14	17
0	23	17
1	43	17
2	98	17
3	190	17
4	289	17
5	357	17
6	381	17
7	419	17
8	457	17
0	457	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify11.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
cost-diff	1	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	98	70
3	190	70
4	289	70
5	357	70
6	381	70
7	419	70
8	457	70
0	457	66

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 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(.f64 (.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(+.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(*.f64 b b)
(.f64 (.f64 #s(literal 4 binary64) a) c)
(.f64 c (.f64 a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) a)
(*.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize54.0ms (0.7%)

Memory

26.0MiB live, 69.8MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.3984375000000002	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy	2.733126593870242	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
accuracy	15.692707499584403	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	24.07528211675048	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

22.0ms	165×	0	valid
10.0ms	39×	2	valid
8.0ms	46×	1	valid
3.0ms	6×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.7% of total)

adjust: 4.0ms (17.4% of total)

ival-div: 3.0ms (13% of total)

ival-sqrt: 3.0ms (13% of total)

ival-sub: 2.0ms (8.7% of total)

ival-add: 2.0ms (8.7% of total)

ival-neg: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-24.0MiB live, 62.1MiB allocated; 22ms collecting garbage

Counts

5 → 98

Calls

Call 1

Inputs
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms	b	@	inf	((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms	c	@	-inf	((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms	a	@	-inf	((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	b	@	0	((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify210.0ms (2.6%)

Memory

24.6MiB live, 268.0MiB allocated; 64ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	2842
1	1916	2807
2	7910	2807
0	8090	2667

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
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(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -4 binary64) (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 c c) b) (/.f64 (.f64 a a) b) (*.f64 c a))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) b)
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) b)
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) b)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(neg.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (/.f64 c b) b) (.f64 (.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))))) b (/.f64 b a)))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c b) (fma.f64 (neg.f64 a) (.f64 c (/.f64 c (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) a)))) (neg.f64 b))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (neg.f64 b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 (-.f64 (.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 c #s(literal -2 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 c a)) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (.f64 (.f64 a a) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c) (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 c (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))))) c)
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(.f64 (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 -4 binary64))))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (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 -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 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 -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.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))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/64 binary64) (.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 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 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 -1/64 binary64) (.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 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite179.0ms (2.2%)

Memory

-18.8MiB live, 213.2MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	73	51
2	508	50
3	6176	49
0	8751	45

Stop Event

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

Counts

5 → 363

Calls

Call 1

Inputs
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Outputs
(.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))))
(.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (/.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))))
(pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1 binary64))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (hypot.f64 (pow.f64 (.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) (.f64 (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))
(/.f64 (-.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal 4 binary64))) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))))
(/.f64 (.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (hypot.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 6 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 18 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 9 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 b #s(literal 12 binary64))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 c (.f64 b b)) a) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c (.f64 b b)) (.f64 #s(literal -4 binary64) a)))))
(/.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))))
(/.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(neg.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) a (.f64 (neg.f64 b) b)))
(neg.f64 (fma.f64 (neg.f64 b) b (.f64 c (.f64 a #s(literal 4 binary64)))))
(neg.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))
(fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (/.f64 (pow.f64 (.f64 c (.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 (neg.f64 b) b))
(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 (neg.f64 b) b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(fma.f64 (.f64 c (neg.f64 a)) #s(literal 4 binary64) (.f64 (neg.f64 b) b))
(fma.f64 (.f64 c (neg.f64 a)) #s(literal 4 binary64) (.f64 b b))
(fma.f64 (.f64 (neg.f64 c) a) #s(literal 4 binary64) (.f64 (neg.f64 b) b))
(fma.f64 (.f64 (neg.f64 c) a) #s(literal 4 binary64) (.f64 b b))
(fma.f64 (.f64 (neg.f64 c) #s(literal 4 binary64)) a (.f64 (neg.f64 b) b))
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(+.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))))
(+.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (neg.f64 b))
(+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) b)
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(neg.f64 b)
(.f64 (neg.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (hypot.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))
(fabs.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))))

eval162.0ms (2%)

Memory: 29.4MiB live, 185.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 17 326 to 2 038 computations (88.2% saved)

prune20.0ms (0.2%)

Memory

-36.2MiB live, 53.4MiB allocated; 8ms collecting garbage

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	446	12	458
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	447	12	459

Accuracy

93.5%

Counts

459 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
	14.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))))))) (.f64 #s(literal 2 binary64) a))
	44.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (.f64 #s(literal 2 binary64) a))
	29.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	33.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
▶	12.9%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))
	37.8%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
▶	31.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
	33.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
	37.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
▶	38.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	37.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))

Compiler

Compiled 654 to 468 computations (28.4% saved)

simplify38.0ms (0.5%)

Memory

45.5MiB live, 89.2MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
cost-diff	0	(neg.f64 b)
cost-diff	0	(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))
cost-diff	0	(*.f64 (/.f64 a b) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
cost-diff	0	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
cost-diff	0	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (neg.f64 b) a)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	327
0	64	327
1	123	317
2	254	317
3	430	317
4	726	317
5	1015	317
6	1223	317
7	1487	317
8	1599	317
9	1665	317
0	1665	317

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
(neg.f64 b)
b
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(/.f64 c b)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
(*.f64 c #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) c)
c
#s(literal -4 binary64)
a
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(neg.f64 b)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 c b) (.f64 #s(literal -2 binary64) a) b)) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) (neg.f64 b))
(neg.f64 b)
b
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
(/.f64 c b)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize129.0ms (1.6%)

Memory

-27.8MiB live, 404.7MiB allocated; 42ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2956826623616379	(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
accuracy	2.733126593870242	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))
accuracy	15.692707499584403	(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
accuracy	40.257607763167826	#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
accuracy	0.0	(*.f64 #s(literal 2 binary64) a)
accuracy	2.733126593870242	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy	5.0814687816774615	(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
accuracy	39.87845663513082	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
accuracy	2.733126593870242	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
accuracy	15.692707499584403	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
accuracy	16.924115368193398	#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
accuracy	24.07528211675048	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
accuracy	0.0	(/.f64 (neg.f64 b) a)
accuracy	0.0	(neg.f64 b)
accuracy	39.58260332557463	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.00390625	(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
accuracy	2.733126593870242	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy	15.692707499584403	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
accuracy	24.07528211675048	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

47.0ms	165×	0	valid
25.0ms	39×	2	valid
24.0ms	46×	1	valid
4.0ms	6×	3	valid

Compiler

Compiled 270 to 32 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 18.0ms (29% of total)

ival-add: 14.0ms (22.6% of total)

ival-div: 12.0ms (19.4% of total)

adjust: 9.0ms (14.5% of total)

ival-sqrt: 6.0ms (9.7% of total)

ival-sub: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series31.0ms (0.4%)

Memory

-0.4MiB live, 91.6MiB allocated; 12ms collecting garbage

Counts

20 → 110

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 #s(literal 2 binary64) a)
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)

Outputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ b a))
(* -2 (/ a b))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	inf	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (+ (* (* -2 a) (/ c b)) b))
4.0ms	c	@	inf	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (+ (* (* -2 a) (/ c b)) b))
3.0ms	a	@	0	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (+ (* (* -2 a) (/ c b)) b))
3.0ms	b	@	inf	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (+ (* (* -2 a) (/ c b)) b))
2.0ms	b	@	0	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (* 2 a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (+ (* (* -2 a) (/ c b)) b))

simplify215.0ms (2.7%)

Memory

-12.0MiB live, 261.0MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	574	2971
1	2020	2936
0	8299	2787

Stop Event

1×	iter limit
1×	node limit

Counts

110 → 109

Calls

Call 1

Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -1 (/ b a))
(* -2 (/ a b))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))

Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 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 20 binary64) b)) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 (.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
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(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))

rewrite307.0ms (3.8%)

Memory

-12.5MiB live, 276.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	274
0	64	274
1	220	264
2	1574	264
0	8401	264

Stop Event

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

Counts

20 → 553

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (neg.f64 b) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 #s(literal 2 binary64) a)
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)

Outputs
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))))))
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) b))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (.f64 #s(literal 2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (neg.f64 (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a) a (.f64 #s(literal 2 binary64) (/.f64 b #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) #s(literal 4 binary64))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a) (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) (neg.f64 b))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal 2 binary64) b)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64)) a (.f64 a (/.f64 b #s(literal -2 binary64)))) (.f64 a a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 a (/.f64 (neg.f64 b) a))) (.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) a) (.f64 a (neg.f64 b))) (.f64 a (.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) a (.f64 (.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) a) a))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) a))) (.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 #s(literal 2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) (neg.f64 b))) (.f64 (.f64 #s(literal -2 binary64) a) (.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 b #s(literal -2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 (neg.f64 b) a))) (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal 2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) (neg.f64 b))) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) #s(literal 2 binary64) (.f64 a (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a))) (.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) a (.f64 a (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64)))) (.f64 a a))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 a (.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) a))) #s(literal 4 binary64))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (.f64 #s(literal -2 binary64) a) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a))) (.f64 (.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 b) a (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) a))
(/.f64 (fma.f64 (neg.f64 b) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 b #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a))) (.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 b a (.f64 (.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -2 binary64) a) a))
(/.f64 (fma.f64 b (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 (.f64 #s(literal -2 binary64) a) (.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) a) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (neg.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 b b (+.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) b)) (neg.f64 (*.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 (neg.f64 b) (.f64 #s(literal 2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (pow.f64 (.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)) a)
(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fma.f64 b b (+.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a)))
(neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b)) (*.f64 #s(literal -2 binary64) a)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b b) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) (fma.f64 (/.f64 (.f64 b b) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) (/.f64 (.f64 b b) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) (/.f64 (.f64 b b) (-.f64 (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c) b))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (/.f64 c b)) (.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (.f64 (neg.f64 (/.f64 c b)) (.f64 #s(literal -2 binary64) a)) (.f64 (neg.f64 (/.f64 c b)) (.f64 #s(literal -2 binary64) a)) (.f64 b (.f64 (neg.f64 (/.f64 c b)) (*.f64 #s(literal -2 binary64) a))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal -2 binary64) a)) (/.f64 c b)) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (.f64 (neg.f64 (.f64 #s(literal -2 binary64) a)) (/.f64 c b)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) a)) (/.f64 c b)) (.f64 b (.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (/.f64 c b))))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 c b) a)) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 c b) a)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 c b) a)) (.f64 b (.f64 #s(literal 2 binary64) (*.f64 (/.f64 c b) a))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))) (-.f64 (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c)))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b) (.f64 b b))) (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c)))) (.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c)))) (pow.f64 b #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c)))) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))))
(/.f64 (-.f64 (.f64 b b) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64))) (-.f64 b (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))))))
(/.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 b) b)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b))
(/.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b))))
(/.f64 (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)))))
(fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))
(fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)
(fma.f64 (*.f64 c (/.f64 a b)) #s(literal -2 binary64) b)
(fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c b)
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 a b) c) b)
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 c b) a) b)
(fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b)
(-.f64 (/.f64 (.f64 b b) (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (-.f64 b (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) (/.f64 (.f64 b b) (-.f64 (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))
(-.f64 b (.f64 (neg.f64 (/.f64 c b)) (.f64 #s(literal -2 binary64) a)))
(-.f64 b (.f64 (neg.f64 (.f64 #s(literal -2 binary64) a)) (/.f64 c b)))
(-.f64 b (.f64 #s(literal 2 binary64) (.f64 (/.f64 c b) a)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 b b (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 b b (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 c (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 b (-.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)) (/.f64 (.f64 (neg.f64 b) b) (-.f64 (.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c) b)
(+.f64 b (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) c))

eval100.0ms (1.2%)

Memory: 11.3MiB live, 241.3MiB allocated; 28ms collecting garbage
Compiler: Compiled 31 683 to 2 913 computations (90.8% saved)

prune50.0ms (0.6%)

Memory

-4.8MiB live, 147.4MiB allocated; 20ms collecting garbage

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	686	11	697
Fresh	1	6	7
Picked	4	1	5
Done	0	0	0
Total	691	18	709

Accuracy

93.6%

Counts

709 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.1%	(fma.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
	32.4%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
▶	25.8%	(/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
	20.9%	(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
	13.9%	(/.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fma.f64 b b (+.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)))
	21.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))))
▶	53.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
	44.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (.f64 #s(literal 2 binary64) a))
	29.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	33.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
	12.9%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (+.f64 a a))
▶	37.8%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
	31.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a))
▶	31.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
	33.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
▶	37.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
✓	38.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	37.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))

Compiler

Compiled 960 to 625 computations (34.9% saved)

simplify140.0ms (1.7%)

Memory

21.9MiB live, 250.9MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
cost-diff	0	(/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)))
cost-diff	6	(/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
cost-diff	7	(-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (*.f64 b b))
cost-diff	0	(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
cost-diff	0	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
cost-diff	1	(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
cost-diff	0	(*.f64 a (/.f64 #s(literal -2 binary64) b))
cost-diff	0	(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
cost-diff	0	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
cost-diff	0	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 c)
cost-diff	0	(/.f64 (neg.f64 c) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	376
0	78	376
1	150	356
2	374	348
3	1063	344
4	4301	344
0	8481	341

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
a
(*.f64 b b)
(+.f64 a a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -2 binary64) b))
a
(/.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
b
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(*.f64 a (/.f64 c b))
a
(/.f64 c b)
c
b
#s(literal -2 binary64)
#s(literal 2 binary64)
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
(/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)))
(-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (*.f64 b b))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
(*.f64 c #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) c)
c
#s(literal -4 binary64)
a
(*.f64 b b)
(+.f64 a a)
(*.f64 #s(literal 2 binary64) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
c
b
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 c b) a) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 c b) a) #s(literal -2 binary64)))
(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(.f64 (.f64 (/.f64 c b) a) #s(literal -2 binary64))
(*.f64 a (/.f64 #s(literal -2 binary64) b))
(*.f64 (/.f64 #s(literal -2 binary64) b) a)
a
(/.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
b
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (/.f64 c b) b) (.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (/.f64 c b) b) (.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b))
(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(.f64 (fma.f64 (/.f64 (/.f64 c b) b) (.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b)
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 a (/.f64 c b)) b)
(/.f64 (*.f64 (/.f64 c b) a) b)
(*.f64 a (/.f64 c b))
(*.f64 (/.f64 c b) a)
a
(/.f64 c b)
c
b
#s(literal -2 binary64)
#s(literal 2 binary64)
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
(/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 #s(literal -2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)))
(/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)))
(/.f64 (.f64 (.f64 #s(literal -4 binary64) c) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)))
(-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (*.f64 b b))
(.f64 (.f64 #s(literal -4 binary64) c) a)
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
(neg.f64 b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize275.0ms (3.4%)

Memory

-10.2MiB live, 366.3MiB allocated; 65ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	14.091308162228623	(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))
accuracy	16.89590700954171	(/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)))
accuracy	24.07528211675048	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
accuracy	37.47228499744659	(-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (*.f64 b b))
accuracy	2.733126593870242	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
accuracy	3.070029017264921	(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
accuracy	5.0511050430776825	(*.f64 a (/.f64 c b))
accuracy	39.74710099472533	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
accuracy	0.1953125	(*.f64 a (/.f64 #s(literal -2 binary64) b))
accuracy	2.733126593870242	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy	5.0814687816774615	(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
accuracy	39.87845663513082	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
accuracy	0.0	(/.f64 (neg.f64 c) b)
accuracy	0.0	(neg.f64 c)
accuracy	39.87460580817574	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy	0.00390625	(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
accuracy	2.733126593870242	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
accuracy	15.692707499584403	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
accuracy	24.07528211675048	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

81.0ms	78×	2	valid
68.0ms	86×	1	valid
25.0ms	73×	0	valid
17.0ms	19×	3	valid

Compiler

Compiled 343 to 44 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 29.0ms (23.2% of total)

adjust: 27.0ms (21.6% of total)

ival-sub: 25.0ms (20% of total)

ival-div: 19.0ms (15.2% of total)

ival-add: 11.0ms (8.8% of total)

ival-sqrt: 11.0ms (8.8% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series108.0ms (1.3%)

Memory

9.6MiB live, 114.7MiB allocated; 34ms collecting garbage

Counts

23 → 183

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -2 binary64) b))
(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
(-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(*.f64 a (/.f64 c b))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))

Outputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -2 (/ a b))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* -4 (* a c))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
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(* 2 (/ (* a c) b))
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(* -2 (/ (* a c) (pow b 2)))
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
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(* -1 b)
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(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
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(+ b (* (sqrt (* a c)) (sqrt -4)))
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
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(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
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(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))
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(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
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(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 c)
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(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
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(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
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(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
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(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	c	@	-inf	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (- (+ (* a (* -4 c)) (* b b)) (* b b)) (/ (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (* 2 a)) (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (+ (* a (* -4 c)) (* b b)) (+ (* (* c -4) a) (* b b)) (* a (/ c b)) (sqrt (+ (* a (* -4 c)) (* b b))) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b)))
29.0ms	b	@	inf	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (- (+ (* a (* -4 c)) (* b b)) (* b b)) (/ (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (* 2 a)) (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (+ (* a (* -4 c)) (* b b)) (+ (* (* c -4) a) (* b b)) (* a (/ c b)) (sqrt (+ (* a (* -4 c)) (* b b))) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b)))
9.0ms	b	@	-inf	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (- (+ (* a (* -4 c)) (* b b)) (* b b)) (/ (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (* 2 a)) (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (+ (* a (* -4 c)) (* b b)) (+ (* (* c -4) a) (* b b)) (* a (/ c b)) (sqrt (+ (* a (* -4 c)) (* b b))) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b)))
6.0ms	c	@	inf	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (- (+ (* a (* -4 c)) (* b b)) (* b b)) (/ (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (* 2 a)) (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (+ (* a (* -4 c)) (* b b)) (+ (* (* c -4) a) (* b b)) (* a (/ c b)) (sqrt (+ (* a (* -4 c)) (* b b))) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b)))
5.0ms	a	@	inf	((/ (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (+ a a)) (+ (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (neg b) (sqrt (+ (* (* c -4) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (- (+ (* a (* -4 c)) (* b b)) (* b b)) (/ (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (* 2 a)) (/ (- (+ (* a (* -4 c)) (* b b)) (* b b)) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b))) (+ (* a (* -4 c)) (* b b)) (+ (* (* c -4) a) (* b b)) (* a (/ c b)) (sqrt (+ (* a (* -4 c)) (* b b))) (- (sqrt (+ (* a (* -4 c)) (* b b))) (neg b)))

simplify240.0ms (3%)

Memory

2.3MiB live, 231.5MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1015	5696
1	3869	5616
0	8694	5341

Stop Event

1×	iter limit
1×	node limit

Counts

183 → 182

Calls

Call 1

Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -2 (/ a b))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
2
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(* -4 (* a c))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(/ (* a c) b)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* 2 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a))) a))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))))))))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))

Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (.f64 (.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(* -2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
(fma.f64 (.f64 a (/.f64 c b)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) b))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
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(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) c) #s(literal 4 binary64) (*.f64 c b)) (neg.f64 c)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 c b (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (.f64 c c) a)) #s(literal -1/32 binary64))) c) #s(literal 4 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) #s(literal -4 binary64))) (neg.f64 c))) (neg.f64 c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c) #s(literal -1 binary64) b) (neg.f64 c))))

rewrite214.0ms (2.7%)

Memory

22.8MiB live, 499.1MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	314
0	78	288
1	281	278
2	1889	278
0	8217	277

Stop Event

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

Counts

23 → 1 236

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 c) b)
(neg.f64 c)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(*.f64 a (/.f64 #s(literal -2 binary64) b))
(.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)))
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64))
(-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (*.f64 b b))
(/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) (neg.f64 b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(*.f64 a (/.f64 c b))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))

Outputs
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) a))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) a))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) (neg.f64 a)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) #s(literal -2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) a))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal -2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a)) (/.f64 (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64)) (/.f64 (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) a))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #s(literal -2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a) (/.f64 (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
(.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a)))
(.f64 (/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a)))
(.f64 (/.f64 (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 2 binary64))) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 2 binary64)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) (neg.f64 a)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) a))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 a)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) a))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
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(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (.f64 b b) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 b b) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (.f64 b b) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (/.f64 (neg.f64 (neg.f64 b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 b)) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (/.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 b) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 b (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))) (/.f64 b (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(fma.f64 (/.f64 b (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 b (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -4 binary64) c) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -4 binary64) c) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
(+.f64 (/.f64 (neg.f64 (.f64 (.f64 #s(literal -4 binary64) c) a)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)))) (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)))))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 (.f64 #s(literal -4 binary64) c) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(+.f64 (/.f64 (.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -4 binary64) c) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))))
(+.f64 (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(+.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(+.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))))
(+.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (/.f64 (.f64 b b) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)))))

eval179.0ms (2.2%)

Memory: -33.0MiB live, 214.2MiB allocated; 38ms collecting garbage
Compiler: Compiled 53 762 to 4 620 computations (91.4% saved)

prune31.0ms (0.4%)

Memory

-4.1MiB live, 85.6MiB allocated; 7ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1 042	6	1 048
Fresh	3	9	12
Picked	2	3	5
Done	0	1	1
Total	1 047	19	1 066

Accuracy

93.6%

Counts

1 066 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.8%	(fma.f64 (/.f64 (.f64 a c) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) a) (/.f64 #s(literal 0 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a))))
	37.7%	(fma.f64 (/.f64 (.f64 a #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) a)) (/.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a))))
▶	32.4%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
	42.3%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))) (+.f64 a a))
	20.9%	(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
✓	53.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
	44.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (.f64 #s(literal 2 binary64) a))
▶	29.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	33.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
	12.9%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (+.f64 a a))
	12.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (*.f64 #s(literal 2 binary64) a))
	31.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a))
▶	12.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
✓	31.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
▶	46.2%	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
	33.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
✓	37.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
✓	38.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	37.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))

Compiler

Compiled 939 to 619 computations (34.1% saved)

simplify169.0ms (2.1%)

Memory

21.2MiB live, 215.0MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
cost-diff	2	(.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
cost-diff	3	(fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 2 binary64) a) b))
cost-diff	5	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) b) a)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)
cost-diff	0	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c))
cost-diff	0	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a)
cost-diff	1	(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))
cost-diff	2	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
cost-diff	10	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	446
0	85	401
1	177	385
2	555	382
3	3923	382
0	8196	382

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a)
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
a
#s(literal 0 binary64)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))
(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
(*.f64 b b)
b
(neg.f64 b)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(+.f64 a a)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)
(*.f64 (/.f64 #s(literal -2 binary64) b) a)
(/.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
b
a
c
(*.f64 #s(literal -2 binary64) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))
(.f64 (.f64 c a) #s(literal -4 binary64))
(*.f64 c a)
c
a
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 2 binary64) a) b))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(.f64 (.f64 #s(literal 2 binary64) a) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))

Outputs
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (*.f64 #s(literal -1/2 binary64) b)) a)
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a)
(/.f64 #s(literal 1 binary64) a)
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))
(.f64 a (.f64 c #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
a
#s(literal 0 binary64)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #s(literal 1/2 binary64) (*.f64 b #s(literal -1/2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
(+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(*.f64 b b)
b
(neg.f64 b)
#s(literal 2 binary64)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(*.f64 b b)
(+.f64 a a)
(*.f64 #s(literal 2 binary64) a)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)
(*.f64 (/.f64 #s(literal -2 binary64) b) a)
(/.f64 #s(literal -2 binary64) b)
#s(literal -2 binary64)
b
a
c
(*.f64 #s(literal -2 binary64) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 #s(literal -1 binary64) b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
(.f64 (.f64 c a) #s(literal -4 binary64))
(.f64 a (.f64 c #s(literal -4 binary64)))
(*.f64 c a)
(*.f64 a c)
c
a
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (*.f64 #s(literal -1/2 binary64) b)) a)
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 2 binary64) a) b))
(.f64 (.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
a
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
c
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(.f64 (.f64 #s(literal 2 binary64) a) b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(.f64 (.f64 a a) #s(literal -4 binary64))

localize292.0ms (3.6%)

Memory

-36.0MiB live, 262.1MiB allocated; 54ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
accuracy	18.389002833043996	(fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 2 binary64) a) b))
accuracy	24.07528211675048	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
accuracy	29.594219631733047	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
accuracy	2.733126593870242	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
accuracy	15.692707499584403	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))
accuracy	24.07528211675048	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
accuracy	42.873071018102195	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))
accuracy	0.1953125	(*.f64 (/.f64 #s(literal -2 binary64) b) a)
accuracy	2.733126593870242	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
accuracy	5.0814687816774615	(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)
accuracy	39.87845663513082	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c))
accuracy	2.733126593870242	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
accuracy	15.692707499584403	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
accuracy	16.924115368193398	#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
accuracy	24.07528211675048	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
accuracy	2.838595343870242	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
accuracy	15.692707499584403	(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
accuracy	15.742366318303647	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))
accuracy	24.07528211675048	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

126.0ms	165×	0	valid
67.0ms	36×	2	valid
24.0ms	41×	1	valid
15.0ms	14×	3	valid

Compiler

Compiled 410 to 46 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-add: 76.0ms (46% of total)

ival-mult: 46.0ms (27.8% of total)

ival-div: 19.0ms (11.5% of total)

adjust: 13.0ms (7.9% of total)

ival-sqrt: 8.0ms (4.8% of total)

ival-sub: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

series33.0ms (0.4%)

Memory

30.3MiB live, 30.3MiB allocated; 0ms collecting garbage

Counts

24 → 181

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)
(*.f64 (/.f64 #s(literal -2 binary64) b) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 2 binary64) a) b))
(.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))

Outputs
1
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -4 (* a c))
(/ 1 a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -2 (/ a b))
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* a (+ (* -2 b) (* 2 b)))
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))))
(* -4 (pow a 2))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a)))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a))))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* 2 (* a b)))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a))))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(* -1/4 (/ (* b (+ (* -2 a) (* 2 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2)))))))
(* b (+ (* -2 a) (* 2 a)))
(* b (+ (* -2 a) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(* 4 (* a b))
(* -1 (* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))))
(+ (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(+ (* -2 (* a b)) (* 2 (* a b)))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* 4 (/ (* (pow a 2) c) b))))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ (* a b) c)))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	((/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) (* (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) 2)) (+ (* (* -4 c) a) 0) (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ -2 b) a) c) (* (/ -2 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c)) (+ (* a (* -4 c)) (* b b)))
4.0ms	a	@	-inf	((/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) (* (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) 2)) (+ (* (* -4 c) a) 0) (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ -2 b) a) c) (* (/ -2 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c)) (+ (* a (* -4 c)) (* b b)))
3.0ms	a	@	0	((/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) (* (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) 2)) (+ (* (* -4 c) a) 0) (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ -2 b) a) c) (* (/ -2 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c)) (+ (* a (* -4 c)) (* b b)))
3.0ms	b	@	inf	((/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) (* (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) 2)) (+ (* (* -4 c) a) 0) (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ -2 b) a) c) (* (/ -2 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c)) (+ (* a (* -4 c)) (* b b)))
3.0ms	c	@	inf	((/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) (* (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) 2)) (+ (* (* -4 c) a) 0) (/ (/ (+ (* (* -4 c) a) 0) (+ (* (* -4 c) a) 0)) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (* (/ -2 b) a) c) (* (/ -2 b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a)) (sqrt (+ (* a (* -4 c)) (* b b))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) (neg b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c)) (+ (* a (* -4 c)) (* b b)))

simplify234.0ms (2.9%)

Memory

-16.5MiB live, 171.3MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	891	4957
1	3285	4789
0	8178	4550

Stop Event

1×	iter limit
1×	node limit

Counts

181 → 180

Calls

Call 1

Inputs
1
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -4 (* a c))
(/ 1 a)
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -2 (/ a b))
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* a (+ (* -2 b) (* 2 b)))
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))))
(* -4 (pow a 2))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a)))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a))))))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* 2 (* a b)))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a))))
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))
(- (pow b 2) (* 4 (* a c)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(* -1/4 (/ (* b (+ (* -2 a) (* 2 a))) (pow a 2)))
(* b (+ (* -1 (/ c (pow b 2))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2)))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2))))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2)))))))
(* b (+ (* -2 a) (* 2 a)))
(* b (+ (* -2 a) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(* 4 (* a b))
(* -1 (* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2)))
(+ (* -1 (/ c b)) (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))))
(+ (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* -1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(+ (* -2 (* a b)) (* 2 (* a b)))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* 4 (/ (* (pow a 2) c) b))))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ (* a b) c)))))
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))

Outputs
1
#s(literal 1 binary64)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(/ c b)
(/.f64 c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b))
(* -2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(* -1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/.f64 #s(literal 0 binary64) a)
(/ (+ (* -1 (/ (* a c) b)) (* -1/4 (+ (* -2 b) (* 2 b)))) a)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a #s(literal 0 binary64)) a)
(/ (+ (* -1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a #s(literal 0 binary64)) a)
(* a (+ (* -2 b) (* 2 b)))
#s(literal 0 binary64)
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b)))))
(.f64 (fma.f64 (.f64 a (/.f64 c b)) #s(literal 4 binary64) #s(literal 0 binary64)) a)
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3))))))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a #s(literal 0 binary64)) a)
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal 4 binary64))) a #s(literal 0 binary64)) a)
(* -4 (pow a 2))
(.f64 (.f64 a a) #s(literal -4 binary64))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
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(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (/.f64 b a) #s(literal 1/2 binary64))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) c))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -4 binary64) (.f64 (.f64 a (/.f64 b c)) #s(literal -2 binary64))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (*.f64 b a) #s(literal 2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) b (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 b b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 b b) (neg.f64 c))))

rewrite35.0ms (0.4%)

Memory

29.2MiB live, 29.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	351
0	85	314
0	321	314

Stop Event

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

Counts

24 → 98

Calls

Call 1

Inputs
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)
(*.f64 (/.f64 #s(literal -2 binary64) b) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 2 binary64) a) b))
(.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))

Outputs
#s(literal 1 binary64)
(.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64))) a)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 #s(literal 2 binary64) a))
(.f64 (.f64 a #s(literal -4 binary64)) c)
(.f64 (.f64 a c) #s(literal -4 binary64))
(.f64 a (.f64 c #s(literal -4 binary64)))
(.f64 (.f64 c #s(literal -4 binary64)) a)
(.f64 c (.f64 a #s(literal -4 binary64)))
(.f64 #s(literal -4 binary64) (.f64 a c))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 0 binary64)) (-.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (.f64 a c) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 0 binary64)))))
(fma.f64 (*.f64 a #s(literal -4 binary64)) c #s(literal 0 binary64))
(fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 c #s(literal -4 binary64)) a #s(literal 0 binary64))
(fma.f64 c (*.f64 a #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 a c) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b))) (neg.f64 b))) (neg.f64 (.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b))) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 (neg.f64 b) (.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 b b))) (.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (.f64 b b) (.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b))) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b))) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(neg.f64 b)
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) #s(literal -2 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c))) (neg.f64 (*.f64 #s(literal -2 binary64) a)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)
(.f64 (/.f64 #s(literal -2 binary64) b) (.f64 a c))
(.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a))
(*.f64 (/.f64 #s(literal -2 binary64) b) a)
(*.f64 a (/.f64 #s(literal -2 binary64) b))
(/.f64 (*.f64 #s(literal -2 binary64) a) b)
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (/.f64 (neg.f64 b) (.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (-.f64 (.f64 b b) (.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))))) (.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))))))))
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) b))) (neg.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a)))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 (.f64 (.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 (.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 (.f64 #s(literal 2 binary64) a) b))) (-.f64 (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 #s(literal 2 binary64) a) b)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) a) b) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 #s(literal 2 binary64) a) b)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal -2 binary64)) a (.f64 (*.f64 #s(literal 2 binary64) a) b))
(fma.f64 (.f64 #s(literal 2 binary64) a) b (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 (*.f64 #s(literal 2 binary64) a) b))
(fma.f64 #s(literal 2 binary64) (.f64 a b) (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 2 binary64) a) b))
(fma.f64 b (.f64 #s(literal 2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(-.f64 (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) a)) b))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 #s(literal 2 binary64) a) b))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) a) b) (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) a)
(.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))
(.f64 (.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a))
(.f64 #s(literal 2 binary64) (.f64 a (*.f64 #s(literal -2 binary64) a)))
(pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))
(pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (-.f64 (.f64 b b) (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b)))))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))
(+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (.f64 a c) #s(literal -4 binary64))) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 b b) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (.f64 a c) #s(literal -4 binary64)) (-.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 b b)))))
(fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (.f64 (.f64 a c) #s(literal -4 binary64)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 (.f64 a c) #s(literal -4 binary64)))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(-.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b))
(+.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (*.f64 b b))
(+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal -4 binary64)))

eval82.0ms (1%)

Memory: -30.8MiB live, 56.3MiB allocated; 10ms collecting garbage
Compiler: Compiled 12 296 to 1 442 computations (88.3% saved)

prune30.0ms (0.4%)

Memory

3.1MiB live, 49.0MiB allocated; 3ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	282	10	292
Fresh	3	7	10
Picked	3	2	5
Done	0	4	4
Total	288	23	311

Accuracy

93.6%

Counts

311 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.8%	(fma.f64 (/.f64 (.f64 a c) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) a) (/.f64 #s(literal 0 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a))))
	37.7%	(fma.f64 (/.f64 (.f64 a #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) a)) (/.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a))))
	32.4%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) #s(approx ( (* 2 a) (* -2 a)) (.f64 (.f64 a a) #s(literal -4 binary64))))
	42.3%	(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))) (+.f64 a a))
	20.9%	(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
✓	53.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
	44.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (.f64 #s(literal 2 binary64) a))
✓	29.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	33.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
	12.9%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a))
	53.8%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64))
	24.8%	(/.f64 #s(approx (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (.f64 (.f64 b a) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
	12.4%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) c)) (*.f64 #s(literal -2 binary64) a))
✓	31.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
	33.8%	(.f64 (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) a)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
	33.6%	#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
	12.8%	#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))
	33.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
✓	37.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
✓	38.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	37.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
	12.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 c b))
	2.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 b a))

Compiler

Compiled 1 732 to 655 computations (62.2% saved)

regimes42.0ms (0.5%)

Memory

41.4MiB live, 41.4MiB allocated; 0ms collecting garbage

Counts

40 → 4

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 c b))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a))
(/.f64 #s(approx (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (.f64 (.f64 b a) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) c)) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))) (+.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) #s(approx ( (* 2 a) (* -2 a)) (.f64 (.f64 a a) #s(literal -4 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal 2 binary64) a) b)) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 (fma.f64 (/.f64 (.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (neg.f64 b))) (.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) a)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64))) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (.f64 a #s(literal -4 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) a)) (/.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 (.f64 a c) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) a) (/.f64 #s(literal 0 binary64) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b)) (.f64 #s(literal -2 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (.f64 (fma.f64 b b (+.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))))))) (.f64 #s(literal 2 binary64) a))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a))
(/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))) (+.f64 a a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))

Calls

4 calls:

10.0ms	c
10.0ms	a
10.0ms	b
9.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
77.1%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
55.5%	2	`a`
88.3%	4	`b`
53.9%	1	`c`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes48.0ms (0.6%)

Memory

-49.4MiB live, 7.9MiB allocated; 6ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -4 binary64)) a (*.f64 b b)))) (+.f64 a a))

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

Calls

1 calls:

46.0ms

Results

Accuracy	Segments	Branch
86.4%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

20 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 c b))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a))
(/.f64 #s(approx (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (.f64 (.f64 b a) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) c)) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (.f64 #s(literal 2 binary64) a))

Outputs

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

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
83.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 c b))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a))
(/.f64 #s(approx (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (.f64 (.f64 b a) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) c)) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) (neg.f64 b)) c)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (+.f64 a a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) (+.f64 a a))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
73.1%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 c b))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))

Outputs

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

#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))

Calls

4 calls:

2.0ms	c
2.0ms	b
2.0ms	a
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
38.2%	1	`c`
38.2%	1	`a`
41.7%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
48.1%	2	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))

Outputs
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))

Calls

4 calls:

2.0ms	c
2.0ms	a
2.0ms	b
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
12.8%	1	`a`
12.8%	1	`c`
12.8%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
12.8%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes6.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
12.3%	1	`c`
12.3%	1	`b`
12.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
12.3%	1	`a`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes14.0ms (0.2%)

Memory

-39.3MiB live, 7.8MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	b
1.0ms	a
1.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
2.5%	1	`a`
2.5%	1	`b`
2.5%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
2.5%	1	`c`

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch120.0ms (1.5%)

Memory

38.1MiB live, 125.8MiB allocated; 13ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	1.0509756476512393e+25	1.6459289654636058e+38
39.0ms	3.083350362520609e-169	1.06089960129053e-156
15.0ms	-1.918475235458485e+168	-4.692014503633151e+164

Samples

34.0ms	296×	0	valid
33.0ms	81×	1	valid
14.0ms	64×	2	valid
6.0ms	77×	0	invalid
2.0ms	7×	3	valid

Compiler

Compiled 1 164 to 898 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-sqrt: 26.0ms (35.7% of total)

ival-sub: 14.0ms (19.2% of total)

ival-mult: 14.0ms (19.2% of total)

adjust: 6.0ms (8.2% of total)

ival-div: 5.0ms (6.9% of total)

ival-add: 3.0ms (4.1% of total)

ival-neg: 3.0ms (4.1% of total)

exact: 1.0ms (1.4% of total)

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

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

bsearch61.0ms (0.8%)

Memory

-30.2MiB live, 25.1MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	4.540567290414798e-45	9.968050759476188e-28
1.0ms	-1.918475235458485e+168	-4.692014503633151e+164

Samples

34.0ms	46×	1	valid
8.0ms	36×	2	valid
6.0ms	78×	0	valid
2.0ms	20×	0	invalid

Compiler

Compiled 704 to 578 computations (17.9% saved)

Precisions

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

adjust: 30.0ms (69.4% of total)

ival-mult: 5.0ms (11.6% of total)

ival-div: 2.0ms (4.6% of total)

ival-sqrt: 2.0ms (4.6% of total)

ival-sub: 1.0ms (2.3% of total)

ival-add: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch66.0ms (0.8%)

Memory

-3.7MiB live, 42.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.540567290414798e-45	9.968050759476188e-28
18.0ms	-3.8427451661921634e-86	-1.1529975904870682e-88

Samples

12.0ms	154×	0	valid
5.0ms	22×	2	valid
4.0ms	51×	0	invalid
2.0ms	16×	1	valid

Compiler

Compiled 894 to 718 computations (19.7% saved)

Precisions

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

ival-mult: 6.0ms (37.5% of total)

adjust: 2.0ms (12.5% of total)

ival-div: 2.0ms (12.5% of total)

ival-sqrt: 2.0ms (12.5% of total)

ival-sub: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

ival-neg: 1.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch52.0ms (0.6%)

Memory

19.8MiB live, 63.0MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	1.66662719612913e-222	2.885325884833087e-202

Samples

13.0ms	163×	0	valid
6.0ms	79×	0	invalid
2.0ms	13×	1	valid

Compiler

Compiled 504 to 416 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (42% of total)

ival-div: 2.0ms (14% of total)

ival-sqrt: 2.0ms (14% of total)

ival-add: 1.0ms (7% of total)

ival-sub: 1.0ms (7% of total)

ival-neg: 1.0ms (7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch43.0ms (0.5%)

Memory

8.7MiB live, 54.9MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	4.0100398547992e-136	1.9680805866869326e-133

Samples

19.0ms	10×	2	valid
7.0ms	91×	0	valid
4.0ms	27×	1	valid
3.0ms	39×	0	invalid

Compiler

Compiled 452 to 340 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (34.3% of total)

ival-div: 1.0ms (8.6% of total)

adjust: 1.0ms (8.6% of total)

ival-sub: 1.0ms (8.6% of total)

ival-sqrt: 1.0ms (8.6% of total)

ival-add: 1.0ms (8.6% of total)

ival-neg: 1.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify62.0ms (0.8%)

Memory

-18.7MiB live, 42.3MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	422
1	162	421
2	433	409
3	1902	401
4	7622	401

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8115528798336243/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 4799999999999999849441573180062826496 binary64)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 7846377169233351/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2071763886514469/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (.f64 b b)) b (/.f64 b a)))) (if (<=.f64 b #s(literal 8285774290710419/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal 691871614739731/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 900182417171439/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a)))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8115528798336243/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 4799999999999999849441573180062826496 binary64)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (neg.f64 b))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 8115528798336243/7729075046034516689390703781863974688597854659412869997314470502903038284579120849072387533163845155924927232063004354354730157322085975311485817346934161497393961629646848 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 4799999999999999849441573180062826496 binary64)) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a #s(literal 0 binary64)) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b #s(literal -480000000000000021314699274673087502852341089461941386365380121065776547939962827698661207365780589299847182810761677724132052498202261200185868691396011130852737024 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 7846377169233351/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2071763886514469/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (.f64 b b)) b (/.f64 b a)))) (if (<=.f64 b #s(literal 8285774290710419/12554203470773361527671578846415332832204710888928069025792 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal 691871614739731/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 900182417171439/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a)))
(if (<=.f64 b #s(literal 900182417171439/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64)))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) (/.f64 #s(literal 0 binary64) a))
#s(approx (/ (+ (* (sqrt (+ (* a (* -4 c)) (* b b))) (* -2 a)) (* (* 2 a) b)) (* (* 2 a) (* -2 a))) #s(literal 0 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* -2 a)) (/.f64 b a))

derivations996.0ms (12.4%)

Memory

12.4MiB live, 856.4MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	73	51
2	508	50
3	6176	49
0	8751	45
0	41	274
0	64	274
1	220	264
2	1574	264
0	8401	264
0	47	314
0	78	288
1	281	278
2	1889	278
0	8217	277
0	545	2842
1	1916	2807
2	7910	2807
0	8090	2667
0	891	4957
1	3285	4789
0	8178	4550

Stop Event

1×	fuel
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 421 to 91 computations (78.4% saved)

preprocess272.0ms (3.4%)

Memory: 16.2MiB live, 114.8MiB allocated; 25ms collecting garbage
Compiler: Compiled 876 to 210 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	98	70
3	190	70
4	289	70
5	357	70
6	381	70
7	419	70
8	457	70
0	457	66

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	98	70
3	190	70
4	289	70
5	357	70
6	381	70
7	419	70
8	457	70
0	457	66

start0.0ms (0%)

analyze170.0ms (2.1%)

sample2.2s (26.9%)

explain243.0ms (3%)

preprocess66.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize54.0ms (0.7%)

series31.0ms (0.4%)

simplify210.0ms (2.6%)

rewrite179.0ms (2.2%)

eval162.0ms (2%)

prune20.0ms (0.2%)

simplify38.0ms (0.5%)

localize129.0ms (1.6%)

series31.0ms (0.4%)

simplify215.0ms (2.7%)

rewrite307.0ms (3.8%)

eval100.0ms (1.2%)

prune50.0ms (0.6%)

simplify140.0ms (1.7%)

localize275.0ms (3.4%)

series108.0ms (1.3%)

simplify240.0ms (3%)

rewrite214.0ms (2.7%)

eval179.0ms (2.2%)

prune31.0ms (0.4%)

simplify169.0ms (2.1%)

localize292.0ms (3.6%)

series33.0ms (0.4%)

simplify234.0ms (2.9%)

rewrite35.0ms (0.4%)

eval82.0ms (1%)

prune30.0ms (0.4%)

regimes42.0ms (0.5%)

regimes48.0ms (0.6%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch120.0ms (1.5%)

bsearch61.0ms (0.8%)

bsearch66.0ms (0.8%)

bsearch52.0ms (0.6%)

bsearch43.0ms (0.5%)

simplify62.0ms (0.8%)

derivations996.0ms (12.4%)

preprocess272.0ms (3.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	98	70
3	190	70
4	289	70
5	357	70
6	381	70
7	419	70
8	457	70
0	457	66