Metrics for Cubic critical

analyze124.0ms (1.1%)

Memory

-10.5MiB live, 275.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.5s (13.6%)

Memory

30.3MiB live, 2 278.3MiB allocated

Samples

503.0ms	5 649×	0	valid
266.0ms	1 139×	2	valid
190.0ms	1 320×	1	valid
81.0ms	943×	0	invalid
37.0ms	148×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 745.0ms

ival-mult: 199.0ms (26.7% of total)

ival-div: 139.0ms (18.6% of total)

ival-sqrt: 100.0ms (13.4% of total)

ival-add: 82.0ms (11% of total)

adjust: 73.0ms (9.8% of total)

ival-sub: 69.0ms (9.3% of total)

ival-neg: 67.0ms (9% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

preprocess146.0ms (1.3%)

Memory

11.5MiB live, 142.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 562×	`div-sub`
1 088×	`lower-fma.f64`
1 088×	`lower-fma.f32`
996×	`sub-neg`
712×	`lower-*.f32`

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

explain219.0ms (2%)

Memory

-17.7MiB live, 332.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
89	-	2	(-8.683031026322726e-71 9.058036559232658e-215 3.1975301581111723e-246)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`
63	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`
18	-	1	(-1.382932842054049e-280 6.011341482696124e+156 -4.512141804736284e+122)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
1	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 3 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`c`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`b`
0	-	0	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	oflow-rescue	82	0
↳	`(*.f64 b b)`	overflow	64
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	23
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	overflow	82
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	cancellation	63	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`	u/n	17	0
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	36
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	5
↳	`(*.f64 b b)`	underflow	53
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))`	underflow	28
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))`	uflow-rescue	5	0
↳	`(*.f64 b b)`	underflow	53
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	underflow	36
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	underflow	5
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))`	nan-rescue	1	0
↳	`(*.f64 b b)`	overflow	64
↳	`(.f64 (.f64 #s(literal 3 binary64) a) c)`	overflow	23

Confusion

	Predicted +	Predicted -
+	131	1
-	7	117

Precision

0.9492753623188406

Recall

0.9924242424242424

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	1
-	7	0	117

Precision?

0.9492753623188406

Recall?

0.9924242424242424

Freqs

test

number	freq
0	118
1	108
2	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	334×	0	valid
19.0ms	94×	2	valid
14.0ms	72×	1	valid
3.0ms	12×	3	valid

Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 10.0ms (25.3% of total)

ival-sqrt: 9.0ms (22.8% of total)

ival-div: 5.0ms (12.7% of total)

adjust: 5.0ms (12.7% of total)

ival-sub: 4.0ms (10.1% of total)

ival-add: 4.0ms (10.1% of total)

ival-neg: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(/.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))

Compiler

Compiled 20 to 12 computations (40% saved)

simplify348.0ms (3.2%)

Memory

-332.3MiB live, 114.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 088×	`lower-fma.f64`
1 088×	`lower-fma.f32`
712×	`lower-*.f32`
706×	`lower-*.f64`
430×	`div-sub`

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

localize52.0ms (0.5%)

Memory

2.5MiB live, 121.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 3 binary64) a) c)
✓	accuracy	93.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
✓	accuracy	77.4%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c))))
✓	accuracy	67.9%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 3 binary64) a) c)))

Samples

14.0ms	167×	0	valid
11.0ms	47×	2	valid
5.0ms	36×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 5.0ms (27.2% of total)

ival-div: 3.0ms (16.3% of total)

ival-sqrt: 3.0ms (16.3% of total)

ival-sub: 2.0ms (10.9% of total)

adjust: 2.0ms (10.9% of total)

ival-add: 2.0ms (10.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

9.6MiB live, 47.0MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite251.0ms (2.3%)

Memory

35.0MiB live, 419.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 876×	`lower-fma.f64`
4 876×	`lower-fma.f32`
3 870×	`lower-*.f32`
3 864×	`lower-*.f64`
2 328×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	20	45
1	71	43
2	525	43
3	6826	43
0	8115	40

Stop Event

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

Counts

4 → 292

Calls

Call 1

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

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

simplify407.0ms (3.7%)

Memory

14.7MiB live, 754.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 194×	`lower-fma.f64`
13 194×	`lower-fma.f32`
7 834×	`lower-*.f64`
7 834×	`lower-*.f32`
3 470×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	536	3222
1	1694	3199
2	5988	3156
0	8616	3013

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 129

Calls

Call 1

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

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

eval56.0ms (0.5%)

Memory: -19.3MiB live, 120.3MiB allocated
Compiler: Compiled 15 096 to 1 373 computations (90.9% saved)

prune145.0ms (1.3%)

Memory

-2.6MiB live, 157.0MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	401	20	421
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	401	21	422

Accuracy

90.9%

Counts

422 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.3%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))) (.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))))
▶	51.5%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) a) #s(literal -3 binary64))
	32.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64)))))) #s(literal 3 binary64)))
	51.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
	10.2%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (.f64 #s(literal 3 binary64) a))
✓	51.5%	(/.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))
	47.3%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))))) (.f64 #s(literal 3 binary64) a))
	32.5%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64)))))) #s(literal 3 binary64))
▶	32.5%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64)) a)
	29.6%	(/.f64 (.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
	22.8%	(/.f64 (.f64 c (fma.f64 c (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
	29.2%	(/.f64 (.f64 b #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) a))
	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64)))))))
▶	32.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))))
▶	27.9%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
	32.5%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))) a) #s(literal 1/3 binary64))
	37.2%	(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
▶	29.1%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64)))
	51.5%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))))
	35.6%	(.f64 c (fma.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))

Compiler

Compiled 744 to 490 computations (34.1% saved)

simplify306.0ms (2.8%)

Memory

-0.6MiB live, 191.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 376×	`lower-fma.f32`
3 372×	`lower-fma.f64`
2 512×	`lower-*.f32`
2 500×	`lower-*.f64`
1 256×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	258
0	49	258
1	81	258
2	152	258
3	261	258
4	609	258
5	1274	256
6	2163	256
7	3487	256
8	4655	256
9	5449	256
10	5960	256
11	6186	256
12	6360	256
13	7423	256
0	8022	255

Stop Event

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

Calls

Call 1

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

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

localize244.0ms (2.2%)

Memory

0.8MiB live, 195.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))))
✓	accuracy	95.1%	(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))))
✓	accuracy	82.8%	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	accuracy	67.9%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))
✓	accuracy	99.5%	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64))
✓	accuracy	94.7%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64)) a)
✓	accuracy	82.8%	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	accuracy	67.9%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 2/3 binary64) a)
✓	accuracy	99.2%	(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
✓	accuracy	91.6%	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
✓	accuracy	90.9%	(.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.5%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
✓	accuracy	99.6%	(.f64 (.f64 a c) #s(literal -3 binary64))
✓	accuracy	93.6%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) a)
✓	accuracy	77.4%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	accuracy	67.9%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))

Samples

50.0ms	99×	0	valid
44.0ms	71×	2	valid
29.0ms	73×	1	valid
9.0ms	13×	3	valid

Compiler

Compiled 277 to 31 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-div: 47.0ms (50.4% of total)

ival-mult: 12.0ms (12.9% of total)

const: 11.0ms (11.8% of total)

adjust: 8.0ms (8.6% of total)

ival-add: 7.0ms (7.5% of total)

ival-sqrt: 4.0ms (4.3% of total)

ival-sub: 2.0ms (2.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series71.0ms (0.7%)

Memory

13.6MiB live, 66.6MiB allocated

Counts

15 → 456

Calls

Call 1

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

Outputs
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<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)))))>
#<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))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))>
#<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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)>
#<alt (/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))>
#<alt (* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))>
#<alt (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))>
#<alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (* -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))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))>
#<alt (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))>
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -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))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a))))>
#<alt (* 3/2 (/ c b))>
#<alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)>
#<alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)>
#<alt (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)>
#<alt (* 2 (/ b a))>
#<alt (* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a)))))>
#<alt (* 3/2 (/ c b))>
#<alt (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))>
#<alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))>
#<alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a))))>
#<alt (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))>
#<alt (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))>
#<alt (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1 (/ (+ (* -1 b) (* -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))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* 3/2 (/ c b))>
#<alt (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))>
#<alt (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))>
#<alt (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c))))))>
#<alt (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c)))))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* -2/3 (/ b a))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (* 1/2 (/ c b))>
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))>
#<alt (* 1/2 (/ c b))>
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))>
#<alt (* 1/2 (/ c b))>
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)>
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)>
#<alt (/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))>
#<alt (* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -2/3 (/ b a))>
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)>
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)>
#<alt (/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)>
#<alt (* 1/2 (/ c b))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
#<alt (+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))>
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#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)>
#<alt (/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)>
#<alt (/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b)>
#<alt (* 2/3 (/ b c))>
#<alt (* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))))>
#<alt (* -1 (* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))))>
#<alt (* 1/2 (/ a b))>
#<alt (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (* 9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))>
#<alt (+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* -9/16 (/ (pow a 3) (pow b 5))))) (* -3/8 (/ (pow a 2) (pow b 3))))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -3)))>
#<alt (/ (+ (* -1 (/ b (pow (sqrt -3) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))>
#<alt (* -1 (/ (+ (* -1 (/ b (pow (sqrt 3) 2))) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))>
#<alt (* 2/3 (/ b a))>
#<alt (/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a)>
#<alt (/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))>
#<alt (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))>
#<alt (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<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)))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 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)))))>
#<alt (* 2/3 (/ b a))>
#<alt (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))>
#<alt (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))>
#<alt (* 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))))))>
#<alt (* 1/2 (/ c b))>
#<alt (* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -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))>
#<alt (* 2/3 (/ b a))>
#<alt (+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))>
#<alt (+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))>
#<alt (+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))>
#<alt (* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))>
#<alt (* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -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)))))))>

Calls

114 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-inf	(+ b (sqrt (+ (* b b) (* (* a c) -3))))
5.0ms	a	@	inf	(* (+ b (sqrt (+ (* b b) (* (* a c) -3)))) 1/3)
2.0ms	b	@	-inf	(/ (- b (sqrt (+ (* b b) (* (* a c) -3)))) a)
2.0ms	c	@	inf	(* (+ b (sqrt (+ (* b b) (* (* a c) -3)))) 1/3)
1.0ms	a	@	-inf	(/ a (+ b (sqrt (+ (* b b) (* (* a c) -3)))))

rewrite426.0ms (3.9%)

Memory

-9.8MiB live, 380.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 540×	`lower-/.f32`
4 526×	`lower-/.f64`
3 948×	`lower-fma.f32`
3 944×	`lower-fma.f64`
3 844×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	144
0	47	144
1	164	144
2	1178	144
0	8439	144

Stop Event

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

Counts

15 → 782

Calls

Call 1

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

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

simplify593.0ms (5.5%)

Memory

-10.8MiB live, 563.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 242×	`lower-*.f64`
7 242×	`lower-*.f32`
7 060×	`lower-fma.f64`
7 060×	`lower-fma.f32`
5 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1195	9276
1	3932	9081
0	8396	8681

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 453

Calls

Call 1

Inputs
(* (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)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 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))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 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))))))))
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))))))))
(* (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))))))
(* -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))))))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(- b (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* 3/2 (/ (* a c) b))
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)
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(* 2 b)
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
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(* -1 (* (sqrt (/ c a)) (sqrt -3)))
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(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
(* 2 (/ b a))
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a)))))
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(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))
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(* 3/2 (/ c b))
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
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(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c)))))
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(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))
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(* -3 (* a c))
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(* -2/3 (/ b a))
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(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
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(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
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(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
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(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
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(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
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(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ 2/3 a)
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(* -1/2 (/ c (pow b 2)))
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(/ 2/3 a)
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(* (sqrt (* a c)) (sqrt -3))
(+ b (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (+ 1 (* 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)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* 2 b)
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(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 3/2 (/ (* a c) b))
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(* -1 (/ (+ (* -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))
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
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(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* 2 b)
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(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -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))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 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)))))
(* 2/3 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))
(* 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))))))
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(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* 2/3 (/ b a))
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(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -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)))))
(* 2/3 (/ b a))
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) 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)))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(+ (* 1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))))
(* 2/3 b)
(* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))
(* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 1/2 (/ (* a c) b))
(* -1 (/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2/3 b)
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b))
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(* 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)))))
(* a (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* 2/3 b)
(+ (* -1/2 (/ (* a c) b)) (* 2/3 b))
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2/3 b) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* 1/2 (/ a b))
(* a (+ (* 3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (* 9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -27/32 (/ (pow c 3) (pow b 7))) (* -27/128 (/ (pow c 3) (pow b 7)))))) (* -9/16 (/ (pow c 2) (pow b 5))))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (/ b (* c (pow (sqrt -3) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (* c (pow (sqrt -3) 2))))))
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (* c (pow (sqrt 3) 2))))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)))
(+ (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) (sqrt 3)))) (* 1/2 (/ (* a (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (/ (* a b) (* c (pow (sqrt 3) 2)))) a)))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(+ (* -1 (/ b (* c (pow (sqrt -3) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* c (pow (sqrt -3) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -3))))
(* 1/2 (/ a b))
(/ (+ (* 3/8 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)) b)
(/ (- (+ (* 1/2 a) (* 9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -3/8 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -27/32 (* (pow a 4) (pow c 3))) (* -27/128 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -9/16 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -3/8 (/ (* (pow a 2) c) (pow b 2))))) b)
(* 2/3 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c)))))
(* -1 (* b (- (* -1 (/ (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 2/3 (/ 1 c))))))
(* -1 (* b (- (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/4 (* (pow a 2) c)) (* 3/8 (* (pow a 2) c)))))) (+ (* -2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* 9/16 (* (pow a 3) (pow c 2))))) (pow b 6))) (+ (* -3/4 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 3/8 (/ (* (pow a 2) c) (pow b 4))) (* 2/3 (/ 1 c))))))))
(* 1/2 (/ a b))
(+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))
(+ (* 1/2 (/ a b)) (* c (- (* 9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -27/32 (/ (pow a 4) (pow b 7))) (* -27/128 (/ (pow a 4) (pow b 7)))))) (* -9/16 (/ (pow a 3) (pow b 5))))) (* -3/8 (/ (pow a 2) (pow b 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -3)))
(/ (+ (* -1 (/ b (pow (sqrt -3) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -3) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) c)
(* -1 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))
(* -1 (/ (+ (* -1 (/ b (pow (sqrt 3) 2))) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* a (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (pow (sqrt 3) 2)))) c)) (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) c))
(* 2/3 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -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)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))
(+ (* 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)))))
(* 2/3 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))
(* 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 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(* 2/3 (/ b a))
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a)))
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))))
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) 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)))))))

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

eval342.0ms (3.2%)

Memory: 24.9MiB live, 371.7MiB allocated
Compiler: Compiled 44 885 to 4 032 computations (91% saved)

prune340.0ms (3.1%)

Memory

-5.1MiB live, 431.9MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 497	20	1 517
Fresh	4	11	15
Picked	2	3	5
Done	1	0	1
Total	1 504	34	1 538

Accuracy

90.9%

Counts

1 538 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.3%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))) (.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))))
	31.1%	(/.f64 (/.f64 (fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))))) a) #s(literal -3 binary64))
✓	51.5%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) a) #s(literal -3 binary64))
	29.1%	(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
	32.5%	(/.f64 (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))))) a)
	51.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
	10.2%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 (.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (.f64 #s(literal 3 binary64) a))
	2.2%	(/.f64 (.f64 (fma.f64 b #s(literal 2 binary64) (/.f64 (.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) #s(literal 1/3 binary64)) a)
	9.7%	(/.f64 (.f64 (/.f64 (.f64 (*.f64 a c) #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) a)
	37.1%	(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
	51.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))))) #s(literal -3 binary64))
	32.5%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 1/3 binary64)) a)
	33.3%	(/.f64 (.f64 (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))))) #s(literal 1/3 binary64)) a)
	22.8%	(/.f64 (.f64 c (fma.f64 c (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
	9.7%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
▶	2.1%	(/.f64 (.f64 b (fma.f64 (.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64))) a)
	2.7%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
	29.1%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	29.2%	(/.f64 (.f64 b #s(literal -2 binary64)) (.f64 #s(literal 3 binary64) a))
	9.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b)) a)
	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 3 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64)))))))
	9.7%	(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b #s(literal 2/3 binary64)) c))
	9.7%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (.f64 (.f64 a c) #s(literal 3/2 binary64)) b)))
✓	32.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))))
▶	2.7%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (*.f64 b #s(literal 2 binary64))))
	29.1%	(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
	32.5%	(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))) a) #s(literal 1/3 binary64))
	37.2%	(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
✓	29.1%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))) #s(literal 3 binary64)) #s(literal -1 binary64)))
▶	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64)))
▶	51.5%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))))
	35.6%	(.f64 c (fma.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))
▶	29.1%	(*.f64 b (/.f64 #s(literal -2/3 binary64) a))

Compiler

Compiled 1 062 to 695 computations (34.6% saved)

simplify341.0ms (3.1%)

Memory

-9.9MiB live, 360.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	cost-diff	0	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64)))
✓	cost-diff	0	(.f64 a (/.f64 c (.f64 b b)))
✓	cost-diff	0	(fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64))
✓	cost-diff	320	(.f64 b (fma.f64 (.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)))
✓	cost-diff	320	(/.f64 (.f64 b (fma.f64 (.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64))) a)
✓	cost-diff	0	(*.f64 b #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a (*.f64 b #s(literal 2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1/3 binary64) (/.f64 a (*.f64 b #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -2/3 binary64) a)
✓	cost-diff	0	(*.f64 b (/.f64 #s(literal -2/3 binary64) a))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal -1/3 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))))

Rules

7 314×	`lower-fma.f32`
7 310×	`lower-fma.f64`
3 592×	`lower-*.f32`
3 572×	`lower-*.f64`
2 238×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	220
0	56	220
1	100	218
2	213	216
3	546	216
4	997	214
5	2235	214
6	2931	212
7	4985	212
8	6820	212
0	8528	210

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (1.8%)

Memory

16.2MiB live, 407.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64))
✓	accuracy	94.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64)))
✓	accuracy	82.8%	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	accuracy	67.9%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))
✓	accuracy	94.6%	(/.f64 (.f64 b (fma.f64 (.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64))) a)
✓	accuracy	92.3%	(.f64 b (fma.f64 (.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64) #s(literal 2/3 binary64)))
✓	accuracy	91.0%	(.f64 a (/.f64 c (.f64 b b)))
✓	accuracy	85.2%	(/.f64 c (*.f64 b b))
✓	accuracy	100.0%	(/.f64 a (*.f64 b #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal 2 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (*.f64 b #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 b (/.f64 #s(literal -2/3 binary64) a))
✓	accuracy	99.5%	(/.f64 #s(literal -2/3 binary64) a)
✓	accuracy	99.5%	(/.f64 #s(literal -1/3 binary64) a)
✓	accuracy	93.4%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))))
✓	accuracy	77.4%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	accuracy	67.9%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))

Samples

57.0ms	72×	2	valid
55.0ms	73×	1	valid
25.0ms	99×	0	valid
8.0ms	12×	3	valid

Compiler

Compiled 234 to 36 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-add: 29.0ms (32.1% of total)

ival-mult: 19.0ms (21% of total)

const: 14.0ms (15.5% of total)

ival-div: 13.0ms (14.4% of total)

adjust: 9.0ms (9.9% of total)

ival-sqrt: 4.0ms (4.4% of total)

ival-sub: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory

-26.4MiB live, 61.2MiB allocated

Counts

16 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(/ -2/3 a)
1.0ms	a	@	inf	(* a (/ c (* b b)))
1.0ms	a	@	-inf	(/ (* b (+ (* (* a (/ c (* b b))) -1/2) 2/3)) a)
1.0ms	a	@	0	(/ a (* b 2))
0.0ms	b	@	0	(* a (/ c (* b b)))

rewrite368.0ms (3.4%)

Memory

21.0MiB live, 626.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 128×	`lower-fma.f32`
9 124×	`lower-fma.f64`
7 026×	`lower-*.f32`
7 006×	`lower-*.f64`
3 418×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	140
0	56	140
1	188	138
2	1215	136
0	9034	136

Stop Event

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

Counts

16 → 905

Calls

Call 1

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

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

simplify395.0ms (3.6%)

Memory

-19.2MiB live, 814.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
8 626×	`lower-*.f64`
8 626×	`lower-*.f32`
4 888×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	855	7527
1	2797	7483
0	8141	7152

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 453

Calls

Call 1

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

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

eval186.0ms (1.7%)

Memory: 39.0MiB live, 418.2MiB allocated
Compiler: Compiled 36 718 to 3 534 computations (90.4% saved)

prune206.0ms (1.9%)

Memory

-32.6MiB live, 534.7MiB allocated

Pruning

43 alts after pruning (37 fresh and 6 done)

	Pruned	Kept	Total
New	1 395	22	1 417
Fresh	11	15	26
Picked	2	3	5
Done	0	3	3
Total	1 408	43	1 451

Accuracy

90.9%

Counts

1 451 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(/.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) a) (/.f64 (.f64 c c) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b)
	29.3%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))) (.f64 (.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))))
✓	51.5%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) a) #s(literal -3 binary64))
	29.1%	(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
	29.6%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b) a)
	2.7%	(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
	51.5%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) (*.f64 a #s(literal -3 binary64)))
	9.7%	(/.f64 (.f64 (/.f64 (.f64 (*.f64 a c) #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) a)
	37.1%	(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
	32.5%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 1/3 binary64)) a)
	33.3%	(/.f64 (.f64 (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))))) #s(literal 1/3 binary64)) a)
	22.8%	(/.f64 (.f64 c (fma.f64 c (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
	9.7%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
	37.2%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
	2.7%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
	29.1%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	9.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a c) b)) a)
	29.2%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
▶	9.7%	(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b #s(literal 2/3 binary64)) c))
	9.7%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (/.f64 (.f64 (.f64 a c) #s(literal 3/2 binary64)) b)))
✓	32.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))))
	29.1%	(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
	51.5%	(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) a) #s(literal -1/3 binary64))
▶	2.7%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
✓	29.1%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
▶	51.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))))
	2.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))) #s(literal 3 binary64)) #s(literal -1 binary64)))
	2.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) #s(literal -1 binary64)))
▶	51.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)))
	2.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (fma.f64 a (/.f64 (*.f64 #s(literal -3/2 binary64) c) b) b)) #s(literal 1/3 binary64)))
✓	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64)))
	31.1%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))))))))
	29.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
	10.2%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (fma.f64 a (/.f64 (.f64 #s(literal -3/2 binary64) c) b) b)))
✓	51.5%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))))
▶	2.3%	(.f64 c (fma.f64 #s(literal 2/3 binary64) (/.f64 b (.f64 a c)) (/.f64 #s(literal -1/2 binary64) b)))
	29.2%	(.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64))))
✓	29.1%	(*.f64 b (/.f64 #s(literal -2/3 binary64) a))
	12.0%	(.f64 b (exp.f64 (.f64 (log.f64 (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64))))
	2.7%	(neg.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
	3.8%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b (fma.f64 c (.f64 (/.f64 a (.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2/3 binary64))))) #s(literal -1 binary64)))

Compiler

Compiled 1 224 to 819 computations (33.1% saved)

simplify192.0ms (1.8%)

Memory

-0.0MiB live, 323.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	cost-diff	0	(*.f64 a #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(/.f64 b (*.f64 a c))
✓	cost-diff	0	(fma.f64 #s(literal 2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) b))
✓	cost-diff	320	(.f64 c (fma.f64 #s(literal 2/3 binary64) (/.f64 b (.f64 a c)) (/.f64 #s(literal -1/2 binary64) b)))
✓	cost-diff	0	(*.f64 b #s(literal 2/3 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b #s(literal 2/3 binary64)) c)
✓	cost-diff	704	(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b #s(literal 2/3 binary64)) c))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)))
✓	cost-diff	384	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) #s(literal -3 binary64))

Rules

5 024×	`lower-*.f32`
5 004×	`lower-*.f64`
3 478×	`lower-fma.f32`
3 472×	`lower-fma.f64`
2 582×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	206
0	60	206
1	106	198
2	188	198
3	420	197
4	844	197
5	1796	197
6	4754	197
7	6092	197
0	8432	196

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (1.3%)

Memory

36.5MiB live, 190.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))
✓	accuracy	93.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))))
✓	accuracy	77.4%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))
✓	accuracy	67.9%	(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	99.8%	(fma.f64 #s(literal 2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) b))
✓	accuracy	94.9%	(/.f64 b (*.f64 a c))
✓	accuracy	91.0%	(.f64 c (fma.f64 #s(literal 2/3 binary64) (/.f64 b (.f64 a c)) (/.f64 #s(literal -1/2 binary64) b)))
✓	accuracy	99.7%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) c)
✓	accuracy	99.5%	(*.f64 b #s(literal 2/3 binary64))
✓	accuracy	98.4%	(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b #s(literal 2/3 binary64)) c))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	99.5%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
✓	accuracy	99.7%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) #s(literal -3 binary64))
✓	accuracy	93.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)))
✓	accuracy	77.4%	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))
✓	accuracy	67.9%	(sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))

Samples

50.0ms	167×	0	valid
32.0ms	47×	2	valid
16.0ms	36×	1	valid
4.0ms	6×	3	valid

Compiler

Compiled 219 to 37 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 27.0ms (35.9% of total)

ival-div: 16.0ms (21.3% of total)

adjust: 10.0ms (13.3% of total)

const: 7.0ms (9.3% of total)

ival-sqrt: 6.0ms (8% of total)

ival-add: 5.0ms (6.7% of total)

ival-sub: 4.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory

2.8MiB live, 39.8MiB allocated

Counts

17 → 504

Calls

Call 1

Inputs
#<alt (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))>
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)))>
#<alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) #s(literal -3 binary64))>
#<alt (*.f64 (/.f64 b a) #s(literal 2/3 binary64))>
#<alt (/.f64 b a)>
#<alt (/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 b #s(literal 2/3 binary64)) c))>
#<alt (*.f64 b #s(literal 2/3 binary64))>
#<alt (/.f64 (*.f64 b #s(literal 2/3 binary64)) c)>
#<alt (.f64 c (fma.f64 #s(literal 2/3 binary64) (/.f64 b (.f64 a c)) (/.f64 #s(literal -1/2 binary64) b)))>
#<alt (/.f64 b (*.f64 a c))>
#<alt (fma.f64 #s(literal 2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) b))>
#<alt (*.f64 a c)>
#<alt (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))>
#<alt (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64)))>

Outputs
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<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)))))>
#<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))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
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#<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)))))>
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#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<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))))))>
#<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)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<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)))))))>
#<alt (* -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)))))))>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>
#<alt (/ -1/3 a)>

Calls

126 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(* (/ 1 a) (/ (- b (sqrt (+ (* a (* c -3)) (* b b)))) -3))
1.0ms	c	@	0	(* c (+ (* 2/3 (/ b (* a c))) (/ -1/2 b)))
1.0ms	b	@	0	(* c (+ (* 2/3 (/ b (* a c))) (/ -1/2 b)))
1.0ms	b	@	inf	(* c (+ (* 2/3 (/ b (* a c))) (/ -1/2 b)))
1.0ms	a	@	0	(* c (+ (* 2/3 (/ b (* a c))) (/ -1/2 b)))

rewrite320.0ms (2.9%)

Memory

-33.1MiB live, 457.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 978×	`lower-/.f32`
4 962×	`lower-/.f64`
4 304×	`lower-fma.f32`
4 298×	`lower-fma.f64`
4 236×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	145
0	60	145
1	230	137
2	1468	137
0	8159	137

Stop Event

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

Counts

17 → 1 039

Calls

Call 1

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

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

simplify364.0ms (3.3%)

Memory

19.4MiB live, 451.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 846×	`lower-fma.f64`
9 846×	`lower-fma.f32`
8 332×	`lower-*.f64`
8 332×	`lower-*.f32`
3 658×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	735	8736
1	2373	8692
0	8042	8322

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 498

Calls

Call 1

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

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

eval200.0ms (1.8%)

Memory: 11.4MiB live, 272.9MiB allocated
Compiler: Compiled 41 397 to 3 273 computations (92.1% saved)

prune297.0ms (2.7%)

Memory

-30.0MiB live, 303.5MiB allocated

Pruning

52 alts after pruning (43 fresh and 9 done)

	Pruned	Kept	Total
New	1 548	16	1 564
Fresh	5	27	32
Picked	2	3	5
Done	0	6	6
Total	1 555	52	1 607

Accuracy

90.9%

Counts

1 607 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(/.f64 (fma.f64 (.f64 #s(literal -3/8 binary64) a) (/.f64 (.f64 c c) (.f64 b b)) (.f64 c #s(literal -1/2 binary64))) b)
✓	51.5%	(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) a) #s(literal -3 binary64))
	29.1%	(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
	29.6%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b) a)
	9.7%	(/.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) c))
	2.7%	(/.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
	51.5%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))) (*.f64 a #s(literal -3 binary64)))
	0.7%	(/.f64 (.f64 (fma.f64 #s(literal 8/27 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c)))) (/.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b)))) c) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 (.f64 b #s(literal 2/3 binary64)) (.f64 a c))) (/.f64 (.f64 (.f64 b #s(literal 2/3 binary64)) (.f64 b #s(literal 2/3 binary64))) (.f64 (.f64 a c) (.f64 a c)))))
	9.7%	(/.f64 (.f64 (/.f64 (.f64 (*.f64 a c) #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64)) a)
	37.1%	(/.f64 (*.f64 (/.f64 c b) #s(literal 3/2 binary64)) #s(literal -3 binary64))
	32.5%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 #s(literal -3 binary64) a) c)))) #s(literal 1/3 binary64)) a)
	33.3%	(/.f64 (.f64 (+.f64 b (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)))))) #s(literal 1/3 binary64)) a)
	22.8%	(/.f64 (.f64 c (fma.f64 c (/.f64 (.f64 #s(literal -9/8 binary64) (.f64 a a)) (.f64 b (.f64 b b))) (/.f64 (.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
	9.7%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
	37.2%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
	2.7%	(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
	29.1%	(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
	9.7%	(/.f64 (.f64 #s(literal 1/3 binary64) c) (.f64 b #s(literal 2/3 binary64)))
	29.2%	(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
	9.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 #s(literal 1/3 binary64) b)))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))
	9.7%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b c)))
	9.7%	(/.f64 #s(literal 1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
✓	32.5%	(/.f64 #s(literal 1/3 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))))
	8.4%	(/.f64 #s(literal 1/3 binary64) (exp.f64 (.f64 (log.f64 (/.f64 c (.f64 b #s(literal 2/3 binary64)))) #s(literal -1 binary64))))
	29.1%	(/.f64 #s(literal -2/3 binary64) (/.f64 a b))
	51.5%	(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) a) #s(literal -1/3 binary64))
✓	2.7%	(*.f64 (/.f64 b a) #s(literal 2/3 binary64))
✓	29.1%	(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
	51.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (/.f64 c (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))))))
✓	51.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3 binary64))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))))
	2.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b) #s(literal 3 binary64)) #s(literal -1 binary64)))
✓	51.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)))
	30.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b))))))
	51.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 a c) (*.f64 b b)))))))
	2.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (fma.f64 a (/.f64 (*.f64 #s(literal -3/2 binary64) c) b) b)) #s(literal 1/3 binary64)))
✓	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) #s(literal 1/3 binary64)))
	30.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)))
	9.7%	(.f64 (/.f64 #s(literal 1/3 binary64) (.f64 b #s(literal -2/3 binary64))) (neg.f64 c))
	9.7%	(.f64 (/.f64 #s(literal 1/3 binary64) b) (.f64 c #s(literal 3/2 binary64)))
	31.1%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -3 binary64)) (*.f64 b b))))))))
	29.6%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 (.f64 (*.f64 a c) #s(literal 3/2 binary64)) b))
	10.2%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (fma.f64 a (/.f64 (.f64 #s(literal -3/2 binary64) c) b) b)))
✓	51.5%	(.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -3 binary64))))))
	37.1%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b))
	29.2%	(.f64 b (/.f64 #s(literal 1 binary64) (.f64 a #s(literal -3/2 binary64))))
	2.7%	(*.f64 b (/.f64 #s(literal 2/3 binary64) a))
✓	29.1%	(*.f64 b (/.f64 #s(literal -2/3 binary64) a))
	12.0%	(.f64 b (exp.f64 (.f64 (log.f64 (*.f64 a #s(literal -3/2 binary64))) #s(literal -1 binary64))))
	2.7%	(neg.f64 (/.f64 b (*.f64 a #s(literal -3/2 binary64))))
	3.8%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b (fma.f64 c (.f64 (/.f64 a (.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2/3 binary64))))) #s(literal -1 binary64)))
	4.5%	(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (/.f64 b c))) #s(literal -1 binary64)))

Compiler

Compiled 1 870 to 819 computations (56.2% saved)

regimes176.0ms (1.6%)

Memory

23.0MiB live, 133.4MiB allocated

Counts

79 → 3

Calls

Call 1

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

Outputs

(/.f64 b (*.f64 a #s(literal -3/2 binary64)))

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

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

Calls

5 calls:

58.0ms	b
44.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
27.0ms	a
21.0ms	(*.f64 #s(literal 3 binary64) a)
21.0ms	c

Results

Accuracy	Segments	Branch
56.5%	3	`a`
85.7%	3	`b`
51.5%	1	`c`
77.2%	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))`
56.5%	3	`(*.f64 #s(literal 3 binary64) a)`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes18.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

56 → 3

Calls

Call 1

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

Outputs

(/.f64 b (*.f64 a #s(literal -3/2 binary64)))

(/.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 c #s(literal -1/2 binary64)) b)

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
85.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.3%)

Memory

-32.0MiB live, 16.1MiB allocated

Counts

52 → 3

Calls

Call 1

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

Outputs

(/.f64 b (*.f64 a #s(literal -3/2 binary64)))

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

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

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
85.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

(/.f64 b (*.f64 a #s(literal -3/2 binary64)))

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

(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
85.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes55.0ms (0.5%)

Memory

-7.0MiB live, 32.0MiB allocated

Counts

42 → 2

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	b
11.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
50.6%	4	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
63.8%	2	`b`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.8%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
63.7%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.7%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-24.6MiB live, 14.8MiB allocated

Accuracy

Total -17.4b remaining (-38.3%)

Threshold costs -17.4b (-38.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))
(*.f64 b (/.f64 #s(literal 2/3 binary64) a))

Outputs
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))

Calls

5 calls:

6.0ms	a
2.0ms	(*.f64 #s(literal 3 binary64) a)
1.0ms	b
1.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Results

Accuracy	Segments	Branch
29.1%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))`
29.1%	1	`c`
29.1%	1	`a`
29.1%	1	`(*.f64 #s(literal 3 binary64) a)`
29.1%	1	`b`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch69.0ms (0.6%)

Memory

5.0MiB live, 43.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	3.0064195606214783e-44	6.2466896233009195e-34
12.0ms	-3.912427803958391e+145	-2.0788199517461338e+143

Samples

32.0ms	49×	1	valid
13.0ms	184×	0	valid
7.0ms	39×	2	valid
2.0ms	24×	0	invalid

Compiler

Compiled 609 to 401 computations (34.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

adjust: 28.0ms (62.3% of total)

ival-mult: 5.0ms (11.1% of total)

ival-div: 3.0ms (6.7% of total)

ival-sqrt: 3.0ms (6.7% of total)

ival-sub: 2.0ms (4.5% of total)

ival-add: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch59.0ms (0.5%)

Memory

-8.1MiB live, 33.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
46.0ms	4.706886947307143e-70	6.118974611948345e-49
8.0ms	-5.168884824292935e+154	-8.259181197052136e+152

Samples

20.0ms	41×	0	invalid
12.0ms	183×	0	valid
6.0ms	35×	2	valid
5.0ms	38×	1	valid

Compiler

Compiled 503 to 338 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sqrt: 20.0ms (56.6% of total)

ival-mult: 5.0ms (14.2% of total)

ival-div: 3.0ms (8.5% of total)

adjust: 2.0ms (5.7% of total)

ival-sub: 2.0ms (5.7% of total)

ival-add: 2.0ms (5.7% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0064195606214783e-44	6.2466896233009195e-34
1.0ms	-3.912427803958391e+145	-2.0788199517461338e+143

Compiler

Compiled 609 to 418 computations (31.4% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.706886947307143e-70	6.118974611948345e-49
1.0ms	-3.912427803958391e+145	-2.0788199517461338e+143

Compiler

Compiled 527 to 378 computations (28.3% saved)

bsearch20.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.001741681860004e-272	2.8405188366649395e-268

Samples

9.0ms	127×	0	valid
3.0ms	43×	0	invalid
0.0ms	1×	1	valid

Compiler

Compiled 167 to 130 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.9% of total)

ival-div: 1.0ms (13.3% of total)

ival-add: 1.0ms (13.3% of total)

ival-sub: 1.0ms (13.3% of total)

ival-sqrt: 1.0ms (13.3% of total)

ival-neg: 1.0ms (13.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.001741681860004e-272	2.8405188366649395e-268

Compiler

Compiled 167 to 130 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.001741681860004e-272	2.8405188366649395e-268

Compiler

Compiled 167 to 130 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.001741681860004e-272	2.8405188366649395e-268

Compiler

Compiled 167 to 130 computations (22.2% saved)

simplify41.0ms (0.4%)

Memory

-27.9MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
20×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	217
1	89	216
2	111	216
3	124	216
4	133	216
5	136	216

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -359999999999999991219170060859305056302028203124052441012715674822431879819630027283160772372629841886724510737310078678590560232388105435348992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5398307492432545/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) a) #s(literal -3 binary64)) (.f64 c (fma.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 a (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6658045131145681/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -359999999999999991219170060859305056302028203124052441012715674822431879819630027283160772372629841886724510737310078678590560232388105435348992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5398307492432545/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))) (.f64 c (fma.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal -359999999999999991219170060859305056302028203124052441012715674822431879819630027283160772372629841886724510737310078678590560232388105435348992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6658045131145681/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))

Outputs
(if (<=.f64 b #s(literal -359999999999999991219170060859305056302028203124052441012715674822431879819630027283160772372629841886724510737310078678590560232388105435348992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5398307492432545/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) a) #s(literal -3 binary64)) (.f64 c (fma.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 a (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6658045131145681/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.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 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6658045131145681/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 3 binary64))))) b) (.f64 a #s(literal 3 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -359999999999999991219170060859305056302028203124052441012715674822431879819630027283160772372629841886724510737310078678590560232388105435348992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5398307492432545/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))) (.f64 c (fma.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal -359999999999999991219170060859305056302028203124052441012715674822431879819630027283160772372629841886724510737310078678590560232388105435348992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 5398307492432545/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) a)) (.f64 c (fma.f64 #s(literal -3/8 binary64) (.f64 c (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) b)))))
(if (<=.f64 b #s(literal -359999999999999991219170060859305056302028203124052441012715674822431879819630027283160772372629841886724510737310078678590560232388105435348992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6658045131145681/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64)))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -359999999999999991219170060859305056302028203124052441012715674822431879819630027283160772372629841886724510737310078678590560232388105435348992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (if (<=.f64 b #s(literal 6658045131145681/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (/.f64 b (.f64 a #s(literal -3/2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (.f64 (/.f64 c b) #s(literal -1/2 binary64)))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 3882898551417187/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) (.f64 b (/.f64 #s(literal -2/3 binary64) a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))

soundness1.4s (13.1%)

Memory

28.4MiB live, 701.3MiB allocated

Rules

13 194×	`lower-fma.f64`
13 194×	`lower-fma.f32`
11 170×	`lower-fma.f64`
11 170×	`lower-fma.f32`
9 846×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	536	3222
1	1694	3199
2	5988	3156
0	8616	3013
0	735	8736
1	2373	8692
0	8042	8322
0	27	144
0	47	144
1	164	144
2	1178	144
0	8439	144
0	33	140
0	56	140
1	188	138
2	1215	136
0	9034	136
0	12	45
0	20	45
1	71	43
2	525	43
3	6826	43
0	8115	40
0	1195	9276
1	3932	9081
0	8396	8681
0	855	7527
1	2797	7483
0	8141	7152

Stop Event

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

Compiler

Compiled 497 to 270 computations (45.7% saved)

preprocess76.0ms (0.7%)

Memory: 0.6MiB live, 117.2MiB allocated
Compiler: Compiled 478 to 150 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze124.0ms (1.1%)

sample1.5s (13.6%)

preprocess146.0ms (1.3%)

explain219.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify348.0ms (3.2%)

localize52.0ms (0.5%)

series23.0ms (0.2%)

rewrite251.0ms (2.3%)

simplify407.0ms (3.7%)

eval56.0ms (0.5%)

prune145.0ms (1.3%)

simplify306.0ms (2.8%)

localize244.0ms (2.2%)

series71.0ms (0.7%)

rewrite426.0ms (3.9%)

simplify593.0ms (5.5%)

eval342.0ms (3.2%)

prune340.0ms (3.1%)

simplify341.0ms (3.1%)

localize197.0ms (1.8%)

series33.0ms (0.3%)

rewrite368.0ms (3.4%)

simplify395.0ms (3.6%)

eval186.0ms (1.7%)

prune206.0ms (1.9%)

simplify192.0ms (1.8%)

localize146.0ms (1.3%)

series31.0ms (0.3%)

rewrite320.0ms (2.9%)

simplify364.0ms (3.3%)

eval200.0ms (1.8%)

prune297.0ms (2.7%)

regimes176.0ms (1.6%)

regimes18.0ms (0.2%)

regimes34.0ms (0.3%)

regimes16.0ms (0.2%)

regimes55.0ms (0.5%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes13.0ms (0.1%)

bsearch69.0ms (0.6%)

bsearch59.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify41.0ms (0.4%)

soundness1.4s (13.1%)

preprocess76.0ms (0.7%)

end0.0ms (0%)

Profiling