Metrics for Cubic critical, wide range

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze197.0ms (2.8%)

Memory

-3.4MiB live, 353.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
6.8%	0%	0%	100%	0%	0%	0%	7
15.9%	0%	0%	100%	0%	0%	0%	8
23.1%	0%	0%	100%	0%	0%	0%	9
36.5%	0%	0%	100%	0%	0%	0%	10
45.4%	0%	0%	100%	0%	0%	0%	11
52.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 41 to 26 computations (36.6% saved)

sample2.2s (31.4%)

Memory

118.8MiB live, 2 901.6MiB allocated

Samples

1.2s	6 523×	1	valid
174.0ms	1 481×	0	valid
126.0ms	1 064×	0	invalid

Precisions

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

ival-mult: 225.0ms (18.8% of total)

const: 164.0ms (13.7% of total)

adjust: 161.0ms (13.4% of total)

ival-<: 129.0ms (10.8% of total)

ival-sqrt: 127.0ms (10.6% of total)

ival-div: 115.0ms (9.6% of total)

ival-sub: 92.0ms (7.7% of total)

ival-add: 82.0ms (6.8% of total)

ival-neg: 53.0ms (4.4% of total)

ival-and: 37.0ms (3.1% of total)

exact: 10.0ms (0.8% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
0	-	-	`a`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	-	-	`(*.f64 b b)`
0	-	-	`c`
0	-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
0	-	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
0	-	-	`(neg.f64 b)`
0	-	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	-	-	`b`
0	-	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	4	0

Confusion

	Predicted +	Predicted -
+	4	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

1.0ms

8×

valid

Compiler

Compiled 219 to 52 computations (76.3% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

preprocess140.0ms (2%)

Memory

-6.2MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	158
1	152	144
2	433	144
3	1173	144
4	3171	144
5	6061	144
0	12	17
0	20	17
1	36	16
2	73	16
3	156	16
4	236	16
5	374	16
6	650	16
7	1103	16
8	2241	16
9	2510	16
10	2621	16
11	2676	16
12	2677	16
13	2677	16
0	2677	15

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify73.0ms (1%)

Memory

-4.1MiB live, 33.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
0	20	66
1	36	64
2	73	64
3	156	64
4	236	64
5	374	64
6	650	64
7	1103	64
8	2241	64
9	2510	64
10	2621	64
11	2676	64
12	2677	64
13	2677	64
0	2677	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.25	(.f64 (.f64 #s(literal 3 binary64) a) c)
accuracy	0.25	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))
accuracy	0.5	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
accuracy	56.766595956753044	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))

Samples

1.0ms

4×

valid

Compiler

Compiled 134 to 26 computations (80.6% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.7%)

Memory

-7.9MiB live, 31.2MiB allocated

Counts

6 → 180

Calls

Call 1

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

Outputs
#s(alt (* -3/2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -3/2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor 0 c) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor inf c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 3 a))) (taylor inf c) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* a (- (/ (pow b 2) a) (* 3 c))) (taylor inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -3)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor inf a) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor inf a) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor inf a) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor inf a) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a c)) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* 3 (* a c)) (taylor -inf a) (#s(alt (.f64 (.f64 #s(literal 3 binary64) a) c) (patch (.f64 (.f64 #s(literal 3 binary64) a) c) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))
3.0ms	a	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))
3.0ms	b	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))
3.0ms	c	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))
2.0ms	b	@	0	((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (* (* 3 a) c))

simplify233.0ms (3.3%)

Memory

22.2MiB live, 176.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	3586
1	1767	3563
2	6210	3520
0	8259	3350

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 177

Calls

Call 1

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

Outputs
(* -3/2 (/ (* a c) b))
(.f64 (.f64 (/.f64 c b) #s(literal -3/2 binary64)) a)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (fma.f64 (.f64 c #s(literal -9/8 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(.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 405/64 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 (.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (.f64 c a) (.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (.f64 #s(literal -9/16 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 c #s(literal -3/2 binary64)) (/.f64 a b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 c #s(literal -9/8 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (.f64 (/.f64 a b) #s(literal -3/2 binary64))) c b)
(* 3 (* a c))
(.f64 #s(literal 3 binary64) (.f64 c a))
(* 3 (* a c))
(.f64 #s(literal 3 binary64) (.f64 c a))
(* 3 (* a c))
(.f64 #s(literal 3 binary64) (.f64 c a))
(* 3 (* a c))
(.f64 #s(literal 3 binary64) (.f64 c a))
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b c)) c)
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b c))) c)
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b c)))) c)
(* -3 (* a c))
(.f64 #s(literal -3 binary64) (.f64 c a))
(* c (- (/ (pow b 2) c) (* 3 a)))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 3 a)))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 3 a)))
(.f64 (fma.f64 #s(literal -3 binary64) a (.f64 b (/.f64 b c))) c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))) c)
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64)))) c)
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))))) c)
(* (sqrt (* a c)) (sqrt -3))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(.f64 (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
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(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (.f64 (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(.f64 (neg.f64 a) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* 3 (* a c))
(.f64 #s(literal 3 binary64) (.f64 c a))
(* 3 (* a c))
(.f64 #s(literal 3 binary64) (.f64 c a))
(* 3 (* a c))
(.f64 #s(literal 3 binary64) (.f64 c a))
(* 3 (* a c))
(.f64 #s(literal 3 binary64) (.f64 c a))

rewrite472.0ms (6.6%)

Memory

2.3MiB live, 197.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
0	20	56
1	71	54
2	525	53
3	6836	53
0	8125	49

Stop Event

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

Counts

6 → 446

Calls

Call 1

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

Outputs
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eval42.0ms (0.6%)

Memory: -18.5MiB live, 34.7MiB allocated
Compiler: Compiled 19 411 to 2 198 computations (88.7% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	621	2	623
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	622	2	624

Accuracy

100.0%

Counts

624 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
▶	96.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Status

Accuracy

Program

▶

100.0%

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

▶

96.5%

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

Compiler

Compiled 23 to 20 computations (13% saved)

simplify476.0ms (6.7%)

Memory

6.3MiB live, 163.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	124
0	35	124
1	65	122
2	139	119
3	324	119
4	535	119
5	758	119
6	1070	119
7	1776	119
8	3586	119
9	5185	119
10	5685	119
11	5903	119
12	5999	119
13	5999	119
14	6342	119
15	6446	119
16	6454	119
17	6456	119
18	6458	119
19	6462	119
20	6480	119
21	6534	119
22	6534	119
23	7128	119
24	7412	119
25	7466	119
26	7538	119
27	7624	119
28	7624	119
29	7624	119
30	7624	119
31	7624	119
0	8568	114

Stop Event

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

Calls

Call 1

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

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

localize2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 c c)
accuracy	0	(*.f64 #s(literal -1/2 binary64) c)
accuracy	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b))
accuracy	0.25	(/.f64 (*.f64 c c) b)
accuracy	0	(/.f64 c b)
accuracy	0	(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
accuracy	2.23562862633481	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))

Samples

1.0ms

4×

valid

Compiler

Compiled 195 to 42 computations (78.5% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.9%)

Memory

-10.4MiB live, 28.5MiB allocated

Counts

10 → 264

Calls

Call 1

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

Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (pow c 2) b)) (taylor 0 c) (#s(alt (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (patch (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (pow c 2) b)) (taylor 0 c) (#s(alt (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (patch (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (pow c 2) b)) (taylor 0 c) (#s(alt (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (patch (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (pow c 2) b)) (taylor 0 c) (#s(alt (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (patch (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) b) (taylor 0 c) (#s(alt (/.f64 (.f64 c c) b) (patch (/.f64 (.f64 c c) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) b) (taylor 0 c) (#s(alt (/.f64 (.f64 c c) b) (patch (/.f64 (.f64 c c) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) b) (taylor 0 c) (#s(alt (/.f64 (.f64 c c) b) (patch (/.f64 (.f64 c c) b) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) b) (taylor 0 c) (#s(alt (/.f64 (.f64 c c) b) (patch (/.f64 (.f64 c c) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (.f64 #s(literal -1/2 binary64) c) (patch (.f64 #s(literal -1/2 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (.f64 #s(literal -1/2 binary64) c) (patch (.f64 #s(literal -1/2 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (.f64 #s(literal -1/2 binary64) c) (patch (.f64 #s(literal -1/2 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (.f64 #s(literal -1/2 binary64) c) (patch (.f64 #s(literal -1/2 binary64) c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (.f64 c c) (patch (.f64 c c) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf c) (#s(alt (.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf c) (#s(alt (.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf c) (#s(alt (.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf c) (#s(alt (.f64 (/.f64 c b) #s(literal -1/2 binary64)) (patch (.f64 (/.f64 c b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf c) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (*.f64 #s(literal -1/2 binary64) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) (patch (/.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b) #s(literal -3/8 binary64)) (/.f64 a b) (.f64 #s(literal -1/2 binary64) c)) b) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	b	@	inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) b) (* (/ (* c c) b) -3/8) (/ (* c c) b) (* -1/2 c) (* c c))
5.0ms	c	@	inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) b) (* (/ (* c c) b) -3/8) (/ (* c c) b) (* -1/2 c) (* c c))
3.0ms	c	@	-inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) b) (* (/ (* c c) b) -3/8) (/ (* c c) b) (* -1/2 c) (* c c))
2.0ms	b	@	-inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) b) (* (/ (* c c) b) -3/8) (/ (* c c) b) (* -1/2 c) (* c c))
2.0ms	c	@	0	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (* (/ (* c c) b) -3/8) (/ a b)) (* -1/2 c)) b) (* (/ (* c c) b) -3/8) (/ (* c c) b) (* -1/2 c) (* c c))

simplify198.0ms (2.8%)

Memory

-0.7MiB live, 225.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	3560
1	909	3544
2	2926	3486
3	6248	3456
0	8460	3296

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) c) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 405/64 binary64) c)) (/.f64 #s(literal -1/6 binary64) (.f64 a b)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) c) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 405/64 binary64) c)) (/.f64 #s(literal -1/6 binary64) (.f64 a b)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -3/8 (/ (pow c 2) b))
(.f64 (.f64 c (/.f64 c b)) #s(literal -3/8 binary64))
(* -3/8 (/ (pow c 2) b))
(.f64 (.f64 c (/.f64 c b)) #s(literal -3/8 binary64))
(* -3/8 (/ (pow c 2) b))
(.f64 (.f64 c (/.f64 c b)) #s(literal -3/8 binary64))
(* -3/8 (/ (pow c 2) b))
(.f64 (.f64 c (/.f64 c b)) #s(literal -3/8 binary64))
(/ (pow c 2) b)
(*.f64 c (/.f64 c b))
(/ (pow c 2) b)
(*.f64 c (/.f64 c b))
(/ (pow c 2) b)
(*.f64 c (/.f64 c b))
(/ (pow c 2) b)
(*.f64 c (/.f64 c b))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(fma.f64 #s(literal 1/72 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 b a) #s(literal -1/3 binary64)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 (*.f64 a #s(literal -3/8 binary64)) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (/.f64 b (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 a c)))) a)) a))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(.f64 (.f64 (*.f64 c (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) a)
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(fma.f64 (.f64 (.f64 c (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) a (.f64 (.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(fma.f64 (.f64 (.f64 c (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) a (.f64 (.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(fma.f64 (.f64 (.f64 c (/.f64 (/.f64 c b) b)) #s(literal -3/8 binary64)) a (.f64 (.f64 #s(literal 1/2 binary64) c) #s(literal -1 binary64)))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal -1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (/.f64 b (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 a c)))) a)) a))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 (*.f64 a #s(literal -3/8 binary64)) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)

rewrite215.0ms (3%)

Memory

27.1MiB live, 235.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	113
0	35	113
1	134	111
2	995	108
0	9333	103

Stop Event

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

Counts

10 → 407

Calls

Call 1

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

Outputs
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eval39.0ms (0.5%)

Memory: -4.2MiB live, 34.0MiB allocated
Compiler: Compiled 14 022 to 1 779 computations (87.3% saved)

prune2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	670	1	671
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	671	2	673

Accuracy

100.0%

Counts

673 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

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

✓

96.5%

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify642.0ms (9%)

Memory

-27.3MiB live, 249.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	84
0	28	84
1	55	83
2	124	83
3	286	83
4	542	83
5	871	83
6	1289	83
7	2466	83
8	4587	83
9	6331	83
10	6848	83
11	7080	83
12	7097	83
13	7100	83
14	7728	83
15	7855	83
16	7859	83
17	7863	83
18	7863	83
0	8940	82

Stop Event

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

Calls

Call 1

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

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

localize2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c)
accuracy	0	(*.f64 #s(literal -3/8 binary64) c)
accuracy	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b))
accuracy	0.25	(/.f64 (*.f64 #s(literal -3/8 binary64) c) b)

Samples

1.0ms

4×

valid

Compiler

Compiled 141 to 35 computations (75.2% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

6 → 180

Calls

Call 1

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

Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (patch (/.f64 (.f64 #s(literal -3/8 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (patch (/.f64 (.f64 #s(literal -3/8 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (patch (/.f64 (.f64 #s(literal -3/8 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (patch (/.f64 (.f64 #s(literal -3/8 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 c) (taylor 0 c) (#s(alt (.f64 #s(literal -3/8 binary64) c) (patch (.f64 #s(literal -3/8 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 c) (taylor 0 c) (#s(alt (.f64 #s(literal -3/8 binary64) c) (patch (.f64 #s(literal -3/8 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 c) (taylor 0 c) (#s(alt (.f64 #s(literal -3/8 binary64) c) (patch (.f64 #s(literal -3/8 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 c) (taylor 0 c) (#s(alt (.f64 #s(literal -3/8 binary64) c) (patch (.f64 #s(literal -3/8 binary64) c) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf c) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a c) (pow b 2))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ c b)) (taylor inf c) (#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (patch (/.f64 (.f64 #s(literal -3/8 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ c b)) (taylor inf c) (#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (patch (/.f64 (.f64 #s(literal -3/8 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ c b)) (taylor inf c) (#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (patch (/.f64 (.f64 #s(literal -3/8 binary64) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ c b)) (taylor inf c) (#s(alt (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (patch (/.f64 (.f64 #s(literal -3/8 binary64) c) b) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a c) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a c) (pow b 2))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 (.f64 #s(literal -3/8 binary64) c) b) (/.f64 a b) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) b) (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) (/ (* -3/8 c) b) (* -3/8 c))
2.0ms	c	@	inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) b) (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) (/ (* -3/8 c) b) (* -3/8 c))
1.0ms	c	@	0	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) b) (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) (/ (* -3/8 c) b) (* -3/8 c))
1.0ms	b	@	0	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) b) (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) (/ (* -3/8 c) b) (* -3/8 c))
1.0ms	b	@	inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) b) (* (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) c) (+ (* (/ (* -3/8 c) b) (/ a b)) -1/2) (/ (* -3/8 c) b) (* -3/8 c))

simplify263.0ms (3.7%)

Memory

7.2MiB live, 275.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2503
1	967	2495
2	3153	2460
3	6703	2435
0	8289	2313

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) c) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 405/64 binary64) c)) (/.f64 #s(literal -1/6 binary64) (.f64 a b)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64)) c)
-1/2
#s(literal -1/2 binary64)
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* -3/8 (/ c b))
(*.f64 #s(literal -3/8 binary64) (/.f64 c b))
(* -3/8 (/ c b))
(*.f64 #s(literal -3/8 binary64) (/.f64 c b))
(* -3/8 (/ c b))
(*.f64 #s(literal -3/8 binary64) (/.f64 c b))
(* -3/8 (/ c b))
(*.f64 #s(literal -3/8 binary64) (/.f64 c b))
(* -3/8 c)
(*.f64 #s(literal -3/8 binary64) c)
(* -3/8 c)
(*.f64 #s(literal -3/8 binary64) c)
(* -3/8 c)
(*.f64 #s(literal -3/8 binary64) c)
(* -3/8 c)
(*.f64 #s(literal -3/8 binary64) c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(fma.f64 (.f64 c #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (*.f64 a c)) #s(literal -1/3 binary64)))) c)
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(.f64 (fma.f64 #s(literal 1/72 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (.f64 a c)) #s(literal -1/3 binary64))))) c)
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 (*.f64 c c) #s(literal -3/8 binary64)) (/.f64 a (pow.f64 b #s(literal 3 binary64))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) c) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) c) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) c) c)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(.f64 (.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64)) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64)) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64)) c)
(* -3/8 (/ (* a c) (pow b 2)))
(.f64 (.f64 (/.f64 (/.f64 c b) b) #s(literal -3/8 binary64)) a)
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* -3/8 (/ c b))
(*.f64 #s(literal -3/8 binary64) (/.f64 c b))
(* -3/8 (/ c b))
(*.f64 #s(literal -3/8 binary64) (/.f64 c b))
(* -3/8 (/ c b))
(*.f64 #s(literal -3/8 binary64) (/.f64 c b))
(* -3/8 (/ c b))
(*.f64 #s(literal -3/8 binary64) (/.f64 c b))
(* -3/8 c)
(*.f64 #s(literal -3/8 binary64) c)
(* -3/8 c)
(*.f64 #s(literal -3/8 binary64) c)
(* -3/8 c)
(*.f64 #s(literal -3/8 binary64) c)
(* -3/8 c)
(*.f64 #s(literal -3/8 binary64) c)
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 b a) #s(literal -1/3 binary64)))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(fma.f64 #s(literal 1/72 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 b a) #s(literal -1/3 binary64)))))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 (*.f64 c c) #s(literal -3/8 binary64)) (/.f64 a (pow.f64 b #s(literal 3 binary64))))
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(.f64 (.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(fma.f64 (.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(fma.f64 (.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2)))))
(fma.f64 (.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))
(* -3/8 (/ (* a c) (pow b 2)))
(.f64 (.f64 (/.f64 (/.f64 c b) b) #s(literal -3/8 binary64)) a)
(* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b b)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/72 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) (/.f64 b (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 a c)))) a) (.f64 #s(literal 1/3 binary64) b)) a))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 (*.f64 c c) #s(literal -3/8 binary64)) (/.f64 a (pow.f64 b #s(literal 3 binary64))))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(.f64 (.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(fma.f64 (.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(fma.f64 (.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(fma.f64 (.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))
(* -3/8 (/ (* a c) (pow b 2)))
(.f64 (.f64 (/.f64 (/.f64 c b) b) #s(literal -3/8 binary64)) a)
(* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))
(* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 a (/.f64 #s(literal -3/8 binary64) b)) (/.f64 c b) #s(literal -1/2 binary64))

rewrite918.0ms (12.9%)

Memory

-517.1MiB live, 241.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	76
0	28	76
1	122	75
2	972	75
0	9193	74

Stop Event

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

Counts

6 → 316

Calls

Call 1

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

Outputs
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eval11.0ms (0.2%)

Memory: -14.3MiB live, 24.4MiB allocated
Compiler: Compiled 10 512 to 1 671 computations (84.1% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	495	1	496
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	496	2	498

Accuracy

100.0%

Counts

498 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

100.0%

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

✓

96.5%

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify408.0ms (5.7%)

Memory

12.8MiB live, 288.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
0	28	86
1	57	85
2	135	85
3	322	85
4	605	85
5	925	85
6	1304	85
7	2479	85
8	4521	85
9	6260	85
10	6747	85
11	6982	85
12	6999	85
13	7002	85
14	7630	85
15	7757	85
16	7761	85
17	7765	85
18	7765	85
0	8842	84

Stop Event

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

Calls

Call 1

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

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

localize2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

1.0ms

4×

valid

Compiler

Compiled 145 to 34 computations (76.6% saved)

Precisions

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

6 → 180

Calls

Call 1

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

Outputs
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1/2 c) (taylor 0 c) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) (taylor 0 c) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) (taylor 0 c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf c) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a c) (pow b 2))) (taylor inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
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#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor inf a) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) (taylor inf a) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a c) (pow b 2))) (taylor inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal -1/2 binary64)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) (taylor -inf a) (#s(alt (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) (patch (/.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (taylor -inf a) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) (taylor -inf a) (#s(alt (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) (patch (.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -3/8 (/ (* a c) (pow b 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) (taylor -inf a) (#s(alt (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -3/8 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (.f64 a c) (patch (.f64 a c) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) b) (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) (+ (* -3/8 (/ (* a c) (* b b))) -1/2) (* a c) (* b b))
1.0ms	a	@	-inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) b) (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) (+ (* -3/8 (/ (* a c) (* b b))) -1/2) (* a c) (* b b))
1.0ms	c	@	inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) b) (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) (+ (* -3/8 (/ (* a c) (* b b))) -1/2) (* a c) (* b b))
1.0ms	b	@	inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) b) (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) (+ (* -3/8 (/ (* a c) (* b b))) -1/2) (* a c) (* b b))
1.0ms	b	@	-inf	((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) b) (* (+ (* -3/8 (/ (* a c) (* b b))) -1/2) c) (+ (* -3/8 (/ (* a c) (* b b))) -1/2) (* a c) (* b b))

simplify204.0ms (2.9%)

Memory

3.8MiB live, 231.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	2455
1	963	2447
2	3141	2412
3	6696	2387
0	8284	2265

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

Outputs
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (.f64 c #s(literal -9/16 binary64)) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -9/16 binary64) a) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 405/64 binary64) c)) (/.f64 #s(literal -1/6 binary64) (.f64 a b)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)
(* -1/2 c)
(*.f64 c #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
-1/2
#s(literal -1/2 binary64)
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(- (* -3/8 (/ (* a c) (pow b 2))) 1/2)
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(fma.f64 (.f64 c #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) (.f64 (*.f64 (/.f64 b a) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (*.f64 a c)) #s(literal -1/3 binary64)))) c)
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(.f64 (fma.f64 #s(literal 1/72 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (.f64 a c)) #s(literal -1/3 binary64))))) c)
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 (*.f64 c c) #s(literal -3/8 binary64)) (/.f64 a (pow.f64 b #s(literal 3 binary64))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c) c)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(.f64 (.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* -3/8 (/ (* a c) (pow b 2)))
(.f64 (.f64 (/.f64 (/.f64 c b) b) #s(literal -3/8 binary64)) a)
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* c (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (*.f64 a c))) #s(literal -1/3 binary64)) c)
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(fma.f64 (.f64 c (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64) (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 3 binary64))) (.f64 (/.f64 b a) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) a) b (/.f64 (fma.f64 #s(literal -1/72 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (/.f64 b (sqrt.f64 #s(literal 3 binary64))))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) c)) c)))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 (*.f64 c c) #s(literal -3/8 binary64)) (/.f64 a (pow.f64 b #s(literal 3 binary64))))
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))
(.f64 (.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c) c)
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
(.f64 (.f64 a (*.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b))
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64)) c)
(* -3/8 (/ (* a c) (pow b 2)))
(.f64 (.f64 (/.f64 (/.f64 c b) b) #s(literal -3/8 binary64)) a)
(* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* -1 (* c (+ (* 3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (/.f64 b a) #s(literal -1/3 binary64)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 #s(literal -1/3 binary64) a)) b))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/72 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) (.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))))) b (/.f64 #s(literal -1/3 binary64) a)) b))
(* -3/8 (/ (* a (pow c 2)) (pow b 3)))
(.f64 (.f64 (*.f64 c c) #s(literal -3/8 binary64)) (/.f64 a (pow.f64 b #s(literal 3 binary64))))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/.f64 (.f64 c (fma.f64 (.f64 b b) #s(literal -1/2 binary64) (.f64 (.f64 a c) #s(literal -3/8 binary64)))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/.f64 (.f64 c (fma.f64 (.f64 b b) #s(literal -1/2 binary64) (.f64 (.f64 a c) #s(literal -3/8 binary64)))) (pow.f64 b #s(literal 3 binary64)))
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))
(/.f64 (.f64 c (fma.f64 (.f64 b b) #s(literal -1/2 binary64) (.f64 (.f64 a c) #s(literal -3/8 binary64)))) (pow.f64 b #s(literal 3 binary64)))
(* -3/8 (/ (* a (pow c 2)) (pow b 2)))
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(fma.f64 (.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a)))))
(fma.f64 (.f64 a (.f64 #s(literal -3/8 binary64) (/.f64 c b))) (/.f64 c b) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))
(* -3/8 (/ (* a c) (pow b 2)))
(.f64 (.f64 (/.f64 (/.f64 c b) b) #s(literal -3/8 binary64)) a)
(* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* -1 (* a (+ (* 3/8 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (/.f64 a b) #s(literal -1/2 binary64))
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)

rewrite165.0ms (2.3%)

Memory

-23.9MiB live, 183.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	28	74
1	119	73
2	878	73
0	9629	72

Stop Event

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

Counts

6 → 312

Calls

Call 1

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

Outputs
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eval11.0ms (0.1%)

Memory: 25.9MiB live, 25.9MiB allocated
Compiler: Compiled 11 470 to 1 638 computations (85.7% saved)

prune2.0ms (0%)

Memory

-34.8MiB live, 4.0MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	492	0	492
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	492	2	494

Accuracy

100.0%

Counts

494 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

96.5%

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

Compiler

Compiled 91 to 56 computations (38.5% saved)

regimes0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 5 computations (-66.7% saved)

end0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Calls

1 calls:

0.0ms

(*.f64 #s(literal 3 binary64) a)

start0.0ms (0%)

analyze197.0ms (2.8%)

sample2.2s (31.4%)

explain3.0ms (0%)

preprocess140.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify73.0ms (1%)

localize1.0ms (0%)

series49.0ms (0.7%)

simplify233.0ms (3.3%)

rewrite472.0ms (6.6%)

eval42.0ms (0.6%)

prune1.0ms (0%)

simplify476.0ms (6.7%)

localize2.0ms (0%)

series62.0ms (0.9%)

simplify198.0ms (2.8%)

rewrite215.0ms (3%)

eval39.0ms (0.5%)

prune2.0ms (0%)

simplify642.0ms (9%)

localize2.0ms (0%)

series18.0ms (0.3%)

simplify263.0ms (3.7%)

rewrite918.0ms (12.9%)

eval11.0ms (0.2%)

prune1.0ms (0%)

simplify408.0ms (5.7%)

localize2.0ms (0%)

series15.0ms (0.2%)

simplify204.0ms (2.9%)

rewrite165.0ms (2.3%)

eval11.0ms (0.1%)

prune2.0ms (0%)

regimes0.0ms (0%)

end0.0ms (0%)

Profiling