Metrics for Quadratic roots, full range

analyze190.0ms (1.8%)

Memory

3.6MiB live, 240.8MiB 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 16 computations (15.8% saved)

sample2.2s (19.9%)

Memory

-1.4MiB live, 2 673.5MiB allocated

Samples

703.0ms	5 607×	0	valid
287.0ms	1 025×	2	valid
254.0ms	1 370×	1	valid
103.0ms	943×	0	invalid
75.0ms	212×	3	valid
49.0ms	42×	4	valid
2.0ms	6×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 462.0ms (40.6% of total)

ival-div: 132.0ms (11.6% of total)

ival-sub: 119.0ms (10.5% of total)

ival-neg: 115.0ms (10.1% of total)

ival-sqrt: 111.0ms (9.8% of total)

ival-add: 97.0ms (8.5% of total)

adjust: 79.0ms (6.9% of total)

exact: 10.0ms (0.9% of total)

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

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

Bogosity

preprocess154.0ms (1.4%)

Memory

35.0MiB live, 152.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 548×	`div-sub`
1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
1 004×	`sub-neg`
744×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	158
1	162	144
2	463	144
3	1233	144
4	3210	144
5	6057	144
0	14	17
1	31	16
2	68	16
3	151	16
4	231	16
5	372	16
6	654	16
7	1122	16
8	2225	16
9	2509	16
10	2626	16
11	2681	16
12	2682	16
13	2682	16
14	2688	16
0	2688	15

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

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

explain292.0ms (2.7%)

Memory

-14.9MiB live, 308.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
61	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
13	-	1	(-2.272631741114925e-172 6.779992545831623e-76 8.59632251176781e-226)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
5	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	112	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	112
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	31
↳	`(*.f64 b b)`	overflow	93
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	61	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	12	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	10
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	29
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	38
↳	`(*.f64 b b)`	underflow	39
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	10	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	10
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	38
↳	`(*.f64 b b)`	underflow	39
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	5	0
↳	`(*.f64 b b)`	overflow	93
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	31

Confusion

	Predicted +	Predicted -
+	143	0
-	18	95

Precision

0.8881987577639752

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	143	0	0
-	18	0	95

Precision?

0.8881987577639752

Recall?

1.0

Freqs

test

number	freq
0	95
1	124
2	35
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms	332×	0	valid
19.0ms	78×	2	valid
16.0ms	20×	3	valid
14.0ms	82×	1	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

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

ival-sub: 36.0ms (38.7% of total)

ival-mult: 24.0ms (25.8% of total)

ival-sqrt: 14.0ms (15.1% of total)

ival-div: 5.0ms (5.4% of total)

adjust: 4.0ms (4.3% of total)

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

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

exact: 1.0ms (1.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.3%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify105.0ms (1%)

Memory

-5.8MiB live, 76.2MiB 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 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))

Rules

1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
744×	`-lowering-.f32`
744×	`-lowering-.f64`
434×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	31	68
2	68	68
3	151	68
4	231	68
5	372	68
6	654	68
7	1122	68
8	2225	68
9	2509	68
10	2626	68
11	2681	68
12	2682	68
13	2682	68
14	2688	68
0	2688	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
b
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
a
c
(* 2 a)
2

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

localize59.0ms (0.5%)

Memory

-6.3MiB live, 111.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	accuracy	95.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	77.6%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	55.6%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

15.0ms	166×	0	valid
10.0ms	41×	1	valid
9.0ms	39×	2	valid
3.0ms	10×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 10.0ms (40.7% of total)

ival-div: 3.0ms (12.2% of total)

ival-sqrt: 3.0ms (12.2% of total)

ival-sub: 2.0ms (8.1% of total)

adjust: 2.0ms (8.1% of total)

ival-neg: 2.0ms (8.1% of total)

ival-add: 2.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

-0.2MiB live, 37.1MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (- (* b b) (* (* 4 a) c))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))>
#<alt (neg b)>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>

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

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms	b	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	c	@	inf	(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite459.0ms (4.2%)

Memory

-5.0MiB live, 378.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 850×	`accelerator-lowering-fma.f32`
4 850×	`accelerator-lowering-fma.f64`
3 904×	`-lowering-.f32`
3 904×	`-lowering-.f64`
2 332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	67	49
2	527	48
3	6858	48
0	8152	44

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 440

Calls

Call 1

Inputs
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(- (* b b) (* (* 4 a) c))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))

Outputs
(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(+.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) b)
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(-.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(-.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c)))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c))))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) b)
(fma.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 (.f64 b b) (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(fma.f64 (/.f64 (.f64 b b) (fma.f64 b (.f64 b b) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 (fma.f64 b (.f64 b b) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(/.f64 (fma.f64 b (.f64 b b) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
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(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) (.f64 #s(literal 64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (*.f64 a c))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))))
(/.f64 (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) (+.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (.f64 a c))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (.f64 a c)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (.f64 a c))))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 a (.f64 c (.f64 a c))))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) a) c (*.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))

simplify397.0ms (3.7%)

Memory

10.6MiB live, 529.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
7 766×	`-lowering-.f32`
7 766×	`-lowering-.f64`
2 546×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
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(* (sqrt (* a c)) (sqrt -4))
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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b
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(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 a c) (.f64 b (.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (.f64 c #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(.f64 c (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 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 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))))

eval78.0ms (0.7%)

Memory: -6.1MiB live, 189.6MiB allocated
Compiler: Compiled 22 355 to 2 082 computations (90.7% saved)

prune86.0ms (0.8%)

Memory

1.5MiB live, 240.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	586	10	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	587	10	597

Accuracy

89.7%

Counts

597 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.4%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
	19.4%	(/.f64 (/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) #s(literal 1/2 binary64)) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	13.0%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (.f64 #s(literal 2 binary64) a))
▶	46.2%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
▶	26.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	31.6%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	37.4%	(/.f64 c (neg.f64 b))
▶	36.3%	(/.f64 b (neg.f64 a))
	27.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
▶	46.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))

Compiler

Compiled 330 to 220 computations (33.3% saved)

simplify180.0ms (1.7%)

Memory

-21.6MiB live, 264.0MiB 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 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	0	(sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))
✓	cost-diff	0	(/.f64 b (neg.f64 a))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(/.f64 c (*.f64 b b))
✓	cost-diff	640	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
✓	cost-diff	0	(neg.f64 a)
✓	cost-diff	0	(/.f64 b (neg.f64 a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	128	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
✓	cost-diff	128	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))

Rules

3 926×	`accelerator-lowering-fma.f32`
3 926×	`accelerator-lowering-fma.f64`
3 080×	`-lowering-.f32`
3 080×	`-lowering-.f64`
1 806×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	249
1	68	244
2	124	242
3	232	240
4	415	240
5	862	240
6	2555	240
7	4642	240
8	6767	240
9	7931	240
0	8031	229

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(neg b)
b
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
1
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(/ 1 (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* 2 a)
2
(/ b (neg a))
b
(neg a)
a
(+ (* b (/ c (* b b))) (/ b (neg a)))
b
(/ c (* b b))
c
(* b b)
(/ b (neg a))
(neg a)
a
(/ (+ (neg b) (sqrt (* a (* c -4)))) (* 2 a))
(+ (neg b) (sqrt (* a (* c -4))))
(neg b)
b
(sqrt (* a (* c -4)))
(* a (* c -4))
a
(* c -4)
c
-4
(* 2 a)
2
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
-1/2
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
-4

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

localize119.0ms (1.1%)

Memory

14.1MiB live, 251.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	96.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	accuracy	90.2%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	75.9%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	100.0%	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	82.8%	(sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	93.7%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
✓	accuracy	92.9%	(/.f64 c (*.f64 b b))
✓	accuracy	100.0%	(/.f64 b (neg.f64 a))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	96.1%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	90.2%	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
✓	accuracy	76.1%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))

Samples

25.0ms	110×	0	valid
24.0ms	104×	0	invalid
10.0ms	16×	2	valid
8.0ms	20×	1	valid
5.0ms	6×	3	valid

Compiler

Compiled 240 to 34 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 15.0ms (31.3% of total)

ival-mult: 13.0ms (27.1% of total)

ival-add: 6.0ms (12.5% of total)

ival-sqrt: 6.0ms (12.5% of total)

ival-neg: 3.0ms (6.3% of total)

adjust: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

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

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

series55.0ms (0.5%)

Memory

2.7MiB live, 121.1MiB allocated

Counts

19 → 552

Calls

Call 1

Inputs
#<alt (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))>
#<alt (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))>
#<alt (neg b)>
#<alt (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))>
#<alt (/ b (neg a))>
#<alt (neg a)>
#<alt (+ (* b (/ c (* b b))) (/ b (neg a)))>
#<alt (/ c (* b b))>
#<alt (* b b)>
#<alt (+ (neg b) (sqrt (* a (* c -4))))>
#<alt (/ (+ (neg b) (sqrt (* a (* c -4)))) (* 2 a))>
#<alt (sqrt (* a (* c -4)))>
#<alt (* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (/ -1/2 a)>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))>
#<alt (/ 1 (+ (* b b) (* c (* a -4))))>
#<alt (+ (* b b) (* c (* a -4)))>

Outputs
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
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#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))>
#<alt (/ 1 b)>
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#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))>
#<alt (/ 1 b)>
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#<alt (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
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#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))>
#<alt (+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))>
#<alt (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ -1/4 (* a c))>
#<alt (- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))>
#<alt (/ -1/4 (* a c))>
#<alt (/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)>
#<alt (/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)>
#<alt (/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)>
#<alt (/ -1/4 (* a c))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>

Calls

138 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
2.0ms	a	@	inf	(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
2.0ms	a	@	0	(neg a)
2.0ms	c	@	0	(- b (sqrt (+ (* b b) (* c (* a -4)))))
1.0ms	b	@	0	(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))

rewrite324.0ms (3%)

Memory

11.2MiB live, 772.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 798×	`/-lowering-/.f32`
4 798×	`/-lowering-/.f64`
4 198×	`-lowering-.f32`
4 198×	`-lowering-.f64`
4 124×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	185
1	180	163
2	1655	159
0	8253	144

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 205

Calls

Call 1

Inputs
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))) (* 2 a))
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4)))))))
(neg b)
(/ 1 (sqrt (/ 1 (+ (* b b) (* c (* a -4))))))
(/ b (neg a))
(neg a)
(+ (* b (/ c (* b b))) (/ b (neg a)))
(/ c (* b b))
(* b b)
(+ (neg b) (sqrt (* a (* c -4))))
(/ (+ (neg b) (sqrt (* a (* c -4)))) (* 2 a))
(sqrt (* a (* c -4)))
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt (/ 1 (+ (* b b) (* c (* a -4)))))
(/ 1 (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 0 binary64)) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (*.f64 a #s(literal -2 binary64)))
(/.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64)) a)
(/.f64 (.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b)))) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #s(literal 1 binary64)) (.f64 a #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) a) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)))) (neg.f64 (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64)))) a)
(/.f64 (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #s(literal 1 binary64))) (.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) a)) #s(literal -2 binary64))
(pow.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 a (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) #s(literal 1/2 binary64))) #s(literal -1 binary64))
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(pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))
(.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 2 binary64)))
(.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 c a) (.f64 c a)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal -1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/4 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/4 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b)) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) b))
(.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))

simplify443.0ms (4.1%)

Memory

-4.1MiB live, 745.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 494×	`accelerator-lowering-fma.f32`
9 494×	`accelerator-lowering-fma.f64`
8 640×	`-lowering-.f32`
8 640×	`-lowering-.f64`
5 052×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1052	10144
1	3404	9980
0	8905	9576

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
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b
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(* -1 (/ b a))
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(* (sqrt (* a c)) (sqrt -4))
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(* 1/2 (/ (- (* (sqrt (* a c)) (sqrt -4)) b) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
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(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
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(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
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(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
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(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
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(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* 2 (/ (* a c) b))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))

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

eval526.0ms (4.8%)

Memory: -174.4MiB live, 397.6MiB allocated
Compiler: Compiled 49 723 to 5 452 computations (89% saved)

prune240.0ms (2.2%)

Memory

16.7MiB live, 415.9MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	2 002	18	2 020
Fresh	4	1	5
Picked	3	2	5
Done	0	0	0
Total	2 009	21	2 030

Accuracy

99.2%

Counts

2 030 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.3%	(fma.f64 (/.f64 c (*.f64 b b)) b (neg.f64 (neg.f64 (/.f64 b a))))
	28.8%	(fma.f64 (.f64 b c) (/.f64 #s(literal 1 binary64) (.f64 b b)) (neg.f64 (/.f64 b a)))
	2.3%	(fma.f64 c (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (/.f64 b a))))
	17.5%	(/.f64 (fma.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
	16.4%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
	26.0%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
	24.7%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a))
	24.7%	(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))
▶	37.4%	(/.f64 c (neg.f64 b))
▶	12.5%	(/.f64 c b)
✓	36.3%	(/.f64 b (neg.f64 a))
	26.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) b)))
	36.2%	(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)))
	36.2%	(-.f64 (/.f64 c b) (/.f64 b a))
▶	2.3%	(-.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
	26.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) b))
	29.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 c a)) b))
▶	13.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
✓	46.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	36.1%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	2.3%	(.f64 b (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))

Compiler

Compiled 551 to 379 computations (31.2% saved)

simplify240.0ms (2.2%)

Memory

-16.1MiB live, 254.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	256	(-.f64 b (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
✓	cost-diff	1024	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(/.f64 c (*.f64 b b))
✓	cost-diff	256	(neg.f64 (neg.f64 (/.f64 b a)))
✓	cost-diff	512	(fma.f64 (/.f64 c (*.f64 b b)) b (neg.f64 (neg.f64 (/.f64 b a))))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(neg.f64 (/.f64 b a))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	128	(-.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 c (neg.f64 b))

Rules

11 182×	`accelerator-lowering-fma.f32`
11 182×	`accelerator-lowering-fma.f64`
2 430×	`-lowering-.f32`
2 430×	`-lowering-.f64`
1 482×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	110
1	57	110
2	162	102
3	399	99
4	1659	98
5	5180	98
6	7605	98
0	8055	97

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ c (neg b))
c
(neg b)
b
(/ c b)
c
b
(- (/ c b) (neg (/ b a)))
(/ c b)
c
b
(neg (/ b a))
(/ b a)
a
(+ (* (/ c (* b b)) b) (neg (neg (/ b a))))
(/ c (* b b))
c
(* b b)
b
(neg (neg (/ b a)))
(neg (/ b a))
(/ b a)
a
(* (/ -1/2 a) (- b (+ (* (* -2 a) (/ c b)) b)))
(/ -1/2 a)
-1/2
a
(- b (+ (* (* -2 a) (/ c b)) b))
b
(+ (* (* -2 a) (/ c b)) b)
(* -2 a)
-2
(/ c b)
c

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

localize105.0ms (1%)

Memory

-2.0MiB live, 116.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) a)
✓	accuracy	98.5%	(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)
✓	accuracy	85.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
✓	accuracy	55.6%	(-.f64 b (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))
✓	accuracy	100.0%	(neg.f64 (/.f64 b a))
✓	accuracy	100.0%	(neg.f64 (neg.f64 (/.f64 b a)))
✓	accuracy	93.7%	(fma.f64 (/.f64 c (*.f64 b b)) b (neg.f64 (neg.f64 (/.f64 b a))))
✓	accuracy	88.6%	(/.f64 c (*.f64 b b))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(neg.f64 (/.f64 b a))
✓	accuracy	100.0%	(-.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(/.f64 c (neg.f64 b))
✓	accuracy	100.0%	(neg.f64 b)

Samples

35.0ms	85×	2	valid
20.0ms	73×	1	valid
12.0ms	80×	0	valid
8.0ms	18×	3	valid

Compiler

Compiled 117 to 24 computations (79.5% saved)

Precisions

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

ival-div: 13.0ms (29.2% of total)

ival-mult: 10.0ms (22.5% of total)

adjust: 8.0ms (18% of total)

ival-sub: 5.0ms (11.2% of total)

ival-neg: 5.0ms (11.2% of total)

ival-add: 4.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

15 → 372

Calls

Call 1

Inputs
#<alt (/ c (neg b))>
#<alt (neg b)>
#<alt (/ c b)>
#<alt (- (/ c b) (neg (/ b a)))>
#<alt (neg (/ b a))>
#<alt (/ b a)>
#<alt (+ (* (/ c (* b b)) b) (neg (neg (/ b a))))>
#<alt (neg (neg (/ b a)))>
#<alt (/ c (* b b))>
#<alt (* b b)>
#<alt (* (/ -1/2 a) (- b (+ (* (* -2 a) (/ c b)) b)))>
#<alt (- b (+ (* (* -2 a) (/ c b)) b))>
#<alt (/ -1/2 a)>
#<alt (+ (* (* -2 a) (/ c b)) b)>
#<alt (* -2 a)>

Outputs
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ b a)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (/ c b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (/ b a)>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (/ b a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (/ c b)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ 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 (/ b a)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (/ c b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (/ b a)>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (/ b a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (/ c b)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<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 (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (/ c (pow b 2))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt (/ -1/2 a)>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
#<alt (* a (+ (* -2 (/ c b)) (/ b a)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* c (+ (* -2 (/ a b)) (/ b c)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt (/ (+ (* -2 (* a c)) (pow b 2)) b)>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt b>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>
#<alt (* -2 a)>

Calls

93 calls:

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

rewrite295.0ms (2.7%)

Memory

2.9MiB live, 350.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 284×	`accelerator-lowering-fma.f32`
6 284×	`accelerator-lowering-fma.f64`
3 482×	`/-lowering-/.f32`
3 482×	`/-lowering-/.f64`
3 406×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	84
1	136	84
2	1347	73
0	9070	72

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 038

Calls

Call 1

Inputs
(/ c (neg b))
(neg b)
(/ c b)
(- (/ c b) (neg (/ b a)))
(neg (/ b a))
(/ b a)
(+ (* (/ c (* b b)) b) (neg (neg (/ b a))))
(neg (neg (/ b a)))
(/ c (* b b))
(* b b)
(* (/ -1/2 a) (- b (+ (* (* -2 a) (/ c b)) b)))
(- b (+ (* (* -2 a) (/ c b)) b))
(/ -1/2 a)
(+ (* (* -2 a) (/ c b)) b)
(* -2 a)

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

simplify274.0ms (2.5%)

Memory

-23.2MiB live, 319.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 874×	`accelerator-lowering-fma.f32`
7 874×	`accelerator-lowering-fma.f64`
3 314×	`-lowering-.f32`
3 314×	`-lowering-.f64`
1 128×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1800
1	205	1800
2	560	1800
3	1730	1800
4	3801	1800
5	5847	1800
6	7281	1800
7	7905	1800
0	8002	1761

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ b a)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(/ c b)
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(/ c b)
(/ (+ c (/ (pow b 2) a)) b)
(/ (+ c (/ (pow b 2) a)) b)
(/ (+ c (/ (pow b 2) a)) b)
(/ b a)
(* b (+ (/ 1 a) (/ c (pow b 2))))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(/ b a)
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(/ b a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(/ c b)
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(/ c b)
(/ (+ c (/ (pow b 2) a)) b)
(/ (+ c (/ (pow b 2) a)) b)
(/ (+ c (/ (pow b 2) a)) b)
(/ b a)
(* b (+ (/ 1 a) (/ c (pow b 2))))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(/ b a)
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(/ b a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* a (+ (* -2 (/ c b)) (/ b a)))
(* -2 (/ (* a c) b))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b)))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(+ b (* -2 (/ (* a c) b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* c (+ (* -2 (/ a b)) (/ b c)))
(* -2 (/ (* a c) b))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b)))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
(/ (+ (* -2 (* a c)) (pow b 2)) b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
b
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1)))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)

Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ b a)
(/.f64 b a)
(+ (/ b a) (/ c b))
(+.f64 (/.f64 c b) (/.f64 b a))
(+ (/ b a) (/ c b))
(+.f64 (/.f64 c b) (/.f64 b a))
(+ (/ b a) (/ c b))
(+.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(* c (+ (/ 1 b) (/ b (* a c))))
(+.f64 (/.f64 c b) (/.f64 b a))
(* c (+ (/ 1 b) (/ b (* a c))))
(+.f64 (/.f64 c b) (/.f64 b a))
(* c (+ (/ 1 b) (/ b (* a c))))
(+.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(+.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(+.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(+.f64 (/.f64 c b) (/.f64 b a))
(/ c b)
(/.f64 c b)
(/ (+ c (/ (pow b 2) a)) b)
(/.f64 (fma.f64 b (/.f64 b a) c) b)
(/ (+ c (/ (pow b 2) a)) b)
(/.f64 (fma.f64 b (/.f64 b a) c) b)
(/ (+ c (/ (pow b 2) a)) b)
(/.f64 (fma.f64 b (/.f64 b a) c) b)
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (/ c (pow b 2))))
(+.f64 (/.f64 c b) (/.f64 b a))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(+.f64 (/.f64 c b) (/.f64 b a))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(+.f64 (/.f64 c b) (/.f64 b a))
(/ b a)
(/.f64 b a)
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(+.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(+.f64 (/.f64 c b) (/.f64 b a))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(+.f64 (/.f64 c b) (/.f64 b a))
(/ b a)
(/.f64 b a)
(/ (+ b (/ (* a c) b)) a)
(/.f64 (fma.f64 c (/.f64 a b) b) a)
(/ (+ b (/ (* a c) b)) a)
(/.f64 (fma.f64 c (/.f64 a b) b) a)
(/ (+ b (/ (* a c) b)) a)
(/.f64 (fma.f64 c (/.f64 a b) b) a)
(/ c b)
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b
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(* a (+ (* -2 (/ c b)) (/ b a)))
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(* a (+ (* -2 (/ c b)) (/ b a)))
(fma.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b) b)
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b
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(/ (+ (* -2 (* a c)) (pow b 2)) b)
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(/ (+ (* -2 (* a c)) (pow b 2)) b)
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(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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b
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(* -2 a)
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(* -2 a)
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(* -2 a)
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(* -2 a)
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(* -2 a)
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eval243.0ms (2.2%)

Memory: 28.7MiB live, 317.3MiB allocated
Compiler: Compiled 31 915 to 2 441 computations (92.4% saved)

prune210.0ms (1.9%)

Memory

-4.3MiB live, 373.4MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 765	13	1 778
Fresh	4	10	14
Picked	2	3	5
Done	0	2	2
Total	1 771	28	1 799

Accuracy

99.2%

Counts

1 799 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.5%	(/.f64 (fma.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
	16.4%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
▶	2.3%	(/.f64 (fma.f64 c (/.f64 a b) b) a)
	26.0%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
	24.7%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a))
▶	15.8%	(/.f64 (+.f64 a (neg.f64 (.f64 (/.f64 b c) b))) (.f64 (/.f64 b c) a))
	24.7%	(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))
	12.0%	(/.f64 (.f64 c b) (.f64 b b))
✓	37.4%	(/.f64 c (neg.f64 b))
✓	12.5%	(/.f64 c b)
✓	36.3%	(/.f64 b (neg.f64 a))
▶	2.5%	(/.f64 b a)
	26.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) b)))
	12.6%	(/.f64 #s(literal 1 binary64) (/.f64 b c))
	36.2%	(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)))
▶	36.8%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
	36.2%	(-.f64 (/.f64 c b) (/.f64 b a))
	7.4%	(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (fma.f64 (/.f64 c b) (.f64 a #s(literal -2 binary64)) b) (*.f64 a #s(literal -2 binary64))))
	2.3%	(+.f64 (/.f64 c b) (/.f64 b a))
	12.5%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	26.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) b))
✓	13.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
✓	46.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	31.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))
	36.1%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	25.4%	(.f64 (+.f64 (/.f64 a b) (/.f64 b c)) (.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 a))))
	12.0%	(.f64 (.f64 c b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
▶	26.5%	(.f64 (neg.f64 c) (/.f64 b (.f64 b b)))

Compiler

Compiled 661 to 441 computations (33.3% saved)

simplify583.0ms (5.4%)

Memory

8.8MiB live, 680.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (/.f64 b c) b)
✓	cost-diff	0	(neg.f64 (*.f64 (/.f64 b c) b))
✓	cost-diff	128	(+.f64 a (neg.f64 (*.f64 (/.f64 b c) b)))
✓	cost-diff	1344	(/.f64 (+.f64 a (neg.f64 (.f64 (/.f64 b c) b))) (.f64 (/.f64 b c) a))
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	0	(fma.f64 c (/.f64 a b) b)
✓	cost-diff	0	(/.f64 (fma.f64 c (/.f64 a b) b) a)
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(neg.f64 c)
✓	cost-diff	320	(/.f64 b (*.f64 b b))
✓	cost-diff	320	(.f64 (neg.f64 c) (/.f64 b (.f64 b b)))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(/.f64 b c)
✓	cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 b c))

Rules

28 154×	`accelerator-lowering-fma.f32`
28 154×	`accelerator-lowering-fma.f64`
4 464×	`-lowering-.f32`
4 464×	`-lowering-.f64`
2 166×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	51	93
2	120	93
3	294	88
4	879	87
5	3757	87
6	6919	87
0	8049	85

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ -1 (/ b c))
-1
(/ b c)
b
c
(/ b a)
b
a
(* (neg c) (/ b (* b b)))
(neg c)
c
(/ b (* b b))
b
(* b b)
(/ (+ (* c (/ a b)) b) a)
(+ (* c (/ a b)) b)
c
(/ a b)
a
b
(/ (+ a (neg (* (/ b c) b))) (* (/ b c) a))
(+ a (neg (* (/ b c) b)))
a
(neg (* (/ b c) b))
(* (/ b c) b)
(/ b c)
b
c
(* (/ b c) a)

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

localize61.0ms (0.6%)

Memory

-10.1MiB live, 66.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (*.f64 (/.f64 b c) b))
✓	accuracy	99.8%	(*.f64 (/.f64 b c) b)
✓	accuracy	92.1%	(*.f64 (/.f64 b c) a)
✓	accuracy	63.4%	(/.f64 (+.f64 a (neg.f64 (.f64 (/.f64 b c) b))) (.f64 (/.f64 b c) a))
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	97.0%	(fma.f64 c (/.f64 a b) b)
✓	accuracy	94.4%	(/.f64 (fma.f64 c (/.f64 a b) b) a)
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(neg.f64 c)
✓	accuracy	99.7%	(.f64 (neg.f64 c) (/.f64 b (.f64 b b)))
✓	accuracy	51.7%	(/.f64 b (*.f64 b b))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(/.f64 b c)
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 b c))

Samples

39.0ms

256×

valid

Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 12.0ms (47.7% of total)

ival-mult: 8.0ms (31.8% of total)

ival-add: 2.0ms (7.9% of total)

ival-neg: 2.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

34.5MiB live, 34.5MiB allocated

Counts

15 → 384

Calls

Call 1

Inputs
#<alt (/ -1 (/ b c))>
#<alt (/ b c)>
#<alt (/ b a)>
#<alt (* (neg c) (/ b (* b b)))>
#<alt (/ b (* b b))>
#<alt (neg c)>
#<alt (* b b)>
#<alt (/ (+ (* c (/ a b)) b) a)>
#<alt (+ (* c (/ a b)) b)>
#<alt (/ a b)>
#<alt (/ (+ a (neg (* (/ b c) b))) (* (/ b c) a))>
#<alt (+ a (neg (* (/ b c) b)))>
#<alt (neg (* (/ b c) b))>
#<alt (* (/ b c) b)>
#<alt (* (/ b c) a)>

Outputs
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<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 (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (/ b a)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (* c (+ (/ 1 b) (/ b (* a c))))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))>
#<alt (/ b a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ (+ b (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (/ c b)>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (+ (/ b a) (/ c b))>
#<alt (/ c b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ (+ c (/ (pow b 2) a)) b)>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (* b (+ (/ 1 a) (/ c (pow b 2))))>
#<alt (/ b a)>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt b>
#<alt (+ b (/ (* a c) b))>
#<alt (+ b (/ (* a c) b))>
#<alt (+ b (/ (* a c) b))>
#<alt (/ (* a c) b)>
#<alt (* c (+ (/ a b) (/ b c)))>
#<alt (* c (+ (/ a b) (/ b c)))>
#<alt (* c (+ (/ a b) (/ b c)))>
#<alt (/ (* a c) b)>
#<alt (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c)))))>
#<alt b>
#<alt (+ b (/ (* a c) b))>
#<alt (+ b (/ (* a c) b))>
#<alt (+ b (/ (* a c) b))>
#<alt (/ (* a c) b)>
#<alt (* a (+ (/ b a) (/ c b)))>
#<alt (* a (+ (/ b a) (/ c b)))>
#<alt (* a (+ (/ b a) (/ c b)))>
#<alt (/ (* a c) b)>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b)))))>
#<alt (/ (* a c) b)>
#<alt (/ (+ (* a c) (pow b 2)) b)>
#<alt (/ (+ (* a c) (pow b 2)) b)>
#<alt (/ (+ (* a c) (pow b 2)) b)>
#<alt b>
#<alt (* b (+ 1 (/ (* a c) (pow b 2))))>
#<alt (* b (+ 1 (/ (* a c) (pow b 2))))>
#<alt (* b (+ 1 (/ (* a c) (pow b 2))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1)))>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (/ (+ c (* -1 (/ (pow b 2) a))) b)>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (/ c b)>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (* c (- (/ b (* a c)) (/ 1 b))))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (- a (/ (pow b 2) c))>
#<alt (- a (/ (pow b 2) c))>
#<alt (- a (/ (pow b 2) c))>
#<alt a>
#<alt (* a (+ 1 (* -1 (/ (pow b 2) (* a c)))))>
#<alt (* a (+ 1 (* -1 (/ (pow b 2) (* a c)))))>
#<alt (* a (+ 1 (* -1 (/ (pow b 2) (* a c)))))>
#<alt a>
#<alt (* -1 (* a (- (/ (pow b 2) (* a c)) 1)))>
#<alt (* -1 (* a (- (/ (pow b 2) (* a c)) 1)))>
#<alt (* -1 (* a (- (/ (pow b 2) (* a c)) 1)))>
#<alt a>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))>
#<alt (* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (/ (- (* a c) (pow b 2)) c)>
#<alt (/ (- (* a c) (pow b 2)) c)>
#<alt (/ (- (* a c) (pow b 2)) c)>
#<alt a>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt a>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt (+ a (* -1 (/ (pow b 2) c)))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (* -1 (/ (pow b 2) c))>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (pow b 2) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>
#<alt (/ (* a b) c)>

Calls

96 calls:

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

rewrite321.0ms (3%)

Memory

-29.6MiB live, 534.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 344×	`accelerator-lowering-fma.f32`
6 344×	`accelerator-lowering-fma.f64`
5 538×	`-lowering-.f32`
5 538×	`-lowering-.f64`
4 256×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
1	116	77
2	858	77
0	8285	75

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 019

Calls

Call 1

Inputs
(/ -1 (/ b c))
(/ b c)
(/ b a)
(* (neg c) (/ b (* b b)))
(/ b (* b b))
(neg c)
(* b b)
(/ (+ (* c (/ a b)) b) a)
(+ (* c (/ a b)) b)
(/ a b)
(/ (+ a (neg (* (/ b c) b))) (* (/ b c) a))
(+ a (neg (* (/ b c) b)))
(neg (* (/ b c) b))
(* (/ b c) b)
(* (/ b c) a)

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

simplify275.0ms (2.5%)

Memory

41.1MiB live, 422.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 150×	`accelerator-lowering-fma.f32`
8 150×	`accelerator-lowering-fma.f64`
3 854×	`-lowering-.f32`
3 854×	`-lowering-.f64`
1 812×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1913
1	273	1886
2	788	1886
3	2218	1886
4	4610	1886
0	8246	1853

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ b a)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(/ c b)
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(/ b a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(/ (+ c (/ (pow b 2) a)) b)
(/ (+ c (/ (pow b 2) a)) b)
(/ (+ c (/ (pow b 2) a)) b)
(/ b a)
(* b (+ (/ 1 a) (/ c (pow b 2))))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(/ b a)
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
b
(+ b (/ (* a c) b))
(+ b (/ (* a c) b))
(+ b (/ (* a c) b))
(/ (* a c) b)
(* c (+ (/ a b) (/ b c)))
(* c (+ (/ a b) (/ b c)))
(* c (+ (/ a b) (/ b c)))
(/ (* a c) b)
(* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ b c)))))
b
(+ b (/ (* a c) b))
(+ b (/ (* a c) b))
(+ b (/ (* a c) b))
(/ (* a c) b)
(* a (+ (/ b a) (/ c b)))
(* a (+ (/ b a) (/ c b)))
(* a (+ (/ b a) (/ c b)))
(/ (* a c) b)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c b)))))
(/ (* a c) b)
(/ (+ (* a c) (pow b 2)) b)
(/ (+ (* a c) (pow b 2)) b)
(/ (+ (* a c) (pow b 2)) b)
b
(* b (+ 1 (/ (* a c) (pow b 2))))
(* b (+ 1 (/ (* a c) (pow b 2))))
(* b (+ 1 (/ (* a c) (pow b 2))))
b
(* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (pow b 2))) 1)))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ (pow b 2) c))
(- a (/ (pow b 2) c))
(- a (/ (pow b 2) c))
(- a (/ (pow b 2) c))
a
(* a (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* a (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* a (+ 1 (* -1 (/ (pow b 2) (* a c)))))
a
(* -1 (* a (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* a (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* a (- (/ (pow b 2) (* a c)) 1)))
a
(+ a (* -1 (/ (pow b 2) c)))
(+ a (* -1 (/ (pow b 2) c)))
(+ a (* -1 (/ (pow b 2) c)))
(* -1 (/ (pow b 2) c))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))
(* -1 (/ (pow b 2) c))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))
(* (pow b 2) (- (/ a (pow b 2)) (/ 1 c)))
(* -1 (/ (pow b 2) c))
(/ (- (* a c) (pow b 2)) c)
(/ (- (* a c) (pow b 2)) c)
(/ (- (* a c) (pow b 2)) c)
a
(+ a (* -1 (/ (pow b 2) c)))
(+ a (* -1 (/ (pow b 2) c)))
(+ a (* -1 (/ (pow b 2) c)))
a
(+ a (* -1 (/ (pow b 2) c)))
(+ a (* -1 (/ (pow b 2) c)))
(+ a (* -1 (/ (pow b 2) c)))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(* -1 (/ (pow b 2) c))
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (pow b 2) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)
(/ (* a b) c)

Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
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(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)
(/ (* a b) c)
(*.f64 (/.f64 b c) a)

eval272.0ms (2.5%)

Memory: -15.6MiB live, 315.9MiB allocated
Compiler: Compiled 26 935 to 2 708 computations (89.9% saved)

prune206.0ms (1.9%)

Memory

-18.5MiB live, 355.6MiB allocated

Pruning

39 alts after pruning (30 fresh and 9 done)

	Pruned	Kept	Total
New	1 515	12	1 527
Fresh	0	18	18
Picked	1	4	5
Done	0	5	5
Total	1 516	39	1 555

Accuracy

99.2%

Counts

1 555 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.8%	(/.f64 (fma.f64 (/.f64 b (neg.f64 c)) b a) (*.f64 (/.f64 b c) a))
	2.2%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 c a) b) a)
	17.5%	(/.f64 (fma.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
	16.4%	(/.f64 (fma.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c) (neg.f64 b)) (.f64 #s(literal 2 binary64) a))
✓	2.3%	(/.f64 (fma.f64 c (/.f64 a b) b) a)
	26.0%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (*.f64 a #s(literal 2 binary64)))
	24.7%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a))
	6.2%	(/.f64 (+.f64 a (neg.f64 (.f64 (.f64 (/.f64 (neg.f64 b) (neg.f64 (.f64 c (.f64 c c)))) (.f64 c c)) b))) (.f64 (/.f64 b c) a))
	24.7%	(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))
	12.0%	(/.f64 (.f64 c b) (.f64 b b))
	2.6%	(/.f64 (.f64 b b) (.f64 b a))
	13.0%	(/.f64 (neg.f64 (.f64 c (.f64 c c))) (.f64 b (.f64 c c)))
✓	37.4%	(/.f64 c (neg.f64 b))
✓	12.5%	(/.f64 c b)
✓	36.3%	(/.f64 b (neg.f64 a))
✓	2.5%	(/.f64 b a)
	26.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) b)))
	12.6%	(/.f64 #s(literal 1 binary64) (/.f64 b c))
	2.5%	(/.f64 #s(literal 1 binary64) (/.f64 a b))
	36.2%	(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)))
	24.1%	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (.f64 b c)))
✓	36.8%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
	36.2%	(-.f64 (/.f64 c b) (/.f64 b a))
	7.4%	(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (fma.f64 (/.f64 c b) (.f64 a #s(literal -2 binary64)) b) (*.f64 a #s(literal -2 binary64))))
	2.3%	(+.f64 (/.f64 c b) (/.f64 b a))
	2.3%	(*.f64 (fma.f64 c (/.f64 a b) b) (/.f64 #s(literal 1 binary64) a))
	2.2%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b)) (neg.f64 (.f64 b b)))
	2.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 b a)) (*.f64 b b))
	12.5%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	26.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) b))
✓	13.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))
✓	46.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	31.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 c (/.f64 (*.f64 a #s(literal 2 binary64)) b)))
	19.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (.f64 (-.f64 (*.f64 b (/.f64 b c)) a) (/.f64 c b)))
	36.1%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	25.4%	(.f64 (+.f64 (/.f64 a b) (/.f64 b c)) (.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 a))))
	12.0%	(.f64 (.f64 c b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
	14.0%	(.f64 (neg.f64 c) (/.f64 (.f64 b b) (.f64 b (.f64 b b))))
✓	26.5%	(.f64 (neg.f64 c) (/.f64 b (.f64 b b)))

Compiler

Compiled 1 122 to 510 computations (54.5% saved)

regimes70.0ms (0.6%)

Memory

-10.3MiB live, 145.9MiB allocated

Counts

54 → 3

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	a
17.0ms	c
16.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
16.0ms	b

Results

Accuracy	Segments	Branch
54.5%	4	`a`
86.4%	3	`b`
59.8%	6	`c`
71.3%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes16.0ms (0.1%)

Memory

-2.8MiB live, 35.1MiB allocated

Counts

42 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
86.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

38 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
84.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Memory

-20.0MiB live, 17.3MiB allocated

Counts

33 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c (neg.f64 b))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
71.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs
(/.f64 b (neg.f64 a))
(/.f64 c (neg.f64 b))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
71.0%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Memory

-19.3MiB live, 18.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)
(/.f64 b (neg.f64 a))

Outputs
(/.f64 b (neg.f64 a))
(/.f64 c b)

Calls

4 calls:

15.0ms	a
2.0ms	b
2.0ms	c
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
36.3%	1	`a`
36.3%	1	`c`
36.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
46.0%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)

Outputs
(/.f64 c b)

Calls

4 calls:

2.0ms	b
2.0ms	c
2.0ms	a
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
12.5%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
12.5%	1	`a`
12.5%	1	`c`
12.5%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.1%)

Memory

-24.6MiB live, 16.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 b a)

Outputs
(/.f64 b a)

Calls

4 calls:

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

Results

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch54.0ms (0.5%)

Memory

20.6MiB live, 97.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	9.362983676192314e-94	2.5023687718551127e-85
14.0ms	-4.9703915300195866e+157	-2.095790166027445e+154

Samples

17.0ms	217×	0	valid
7.0ms	37×	1	valid
4.0ms	45×	0	invalid
3.0ms	14×	2	valid
1.0ms	3×	4	valid
0.0ms	1×	3	valid

Compiler

Compiled 516 to 377 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.9% of total)

ival-div: 3.0ms (14.6% of total)

ival-sqrt: 3.0ms (14.6% of total)

ival-sub: 2.0ms (9.7% of total)

ival-neg: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

adjust: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch53.0ms (0.5%)

Memory

-13.4MiB live, 109.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	9.362983676192314e-94	2.5023687718551127e-85
18.0ms	-2.3140179339887564e+132	-1.1480997825311679e+126

Samples

22.0ms	229×	0	valid
6.0ms	39×	1	valid
4.0ms	53×	0	invalid
3.0ms	16×	2	valid
1.0ms	4×	4	valid

Compiler

Compiled 509 to 362 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 10.0ms (41.5% of total)

ival-div: 3.0ms (12.5% of total)

ival-sqrt: 3.0ms (12.5% of total)

ival-sub: 2.0ms (8.3% of total)

ival-neg: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

adjust: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch48.0ms (0.4%)

Memory

22.6MiB live, 60.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	9.362983676192314e-94	2.5023687718551127e-85
17.0ms	-3.333420683958502e-69	-5.710983717668052e-74

Samples

17.0ms	224×	0	valid
5.0ms	66×	0	invalid
4.0ms	31×	1	valid
3.0ms	14×	2	valid
1.0ms	3×	4	valid

Compiler

Compiled 487 to 350 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.6% of total)

ival-div: 3.0ms (14.5% of total)

ival-sqrt: 3.0ms (14.5% of total)

ival-sub: 2.0ms (9.6% of total)

ival-neg: 2.0ms (9.6% of total)

ival-add: 2.0ms (9.6% of total)

adjust: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch57.0ms (0.5%)

Memory

-31.0MiB live, 96.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	9.362983676192314e-94	2.5023687718551127e-85
19.0ms	-3.333420683958502e-69	-5.710983717668052e-74

Samples

16.0ms	208×	0	valid
6.0ms	41×	1	valid
5.0ms	66×	0	invalid
4.0ms	20×	2	valid
1.0ms	3×	4	valid

Compiler

Compiled 487 to 350 computations (28.1% saved)

Precisions

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

ival-mult: 9.0ms (39.8% of total)

ival-div: 3.0ms (13.3% of total)

ival-sqrt: 3.0ms (13.3% of total)

ival-sub: 2.0ms (8.9% of total)

ival-neg: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% of total)

adjust: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch81.0ms (0.7%)

Memory

12.0MiB live, 85.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
77.0ms	-5.217427088984086e-302	3.269868984120678e-292

Samples

57.0ms	176×	0	valid
9.0ms	117×	0	invalid

Compiler

Compiled 232 to 163 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-add: 45.0ms (77.5% of total)

ival-mult: 6.0ms (10.3% of total)

ival-div: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch64.0ms (0.6%)

Memory

3.7MiB live, 80.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
60.0ms	-5.217427088984086e-302	3.269868984120678e-292

Samples

37.0ms	176×	0	valid
11.0ms	143×	0	invalid

Compiler

Compiled 199 to 152 computations (23.6% saved)

Precisions

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

ival-mult: 30.0ms (77.2% of total)

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

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

ival-add: 1.0ms (2.6% of total)

ival-sub: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory

4.6MiB live, 81.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.7420998094370685e-15	1.33878673169932e-5

Samples

11.0ms	54×	1	valid
8.0ms	41×	2	valid
4.0ms	58×	0	valid
2.0ms	7×	3	valid
2.0ms	19×	0	invalid

Compiler

Compiled 173 to 130 computations (24.9% saved)

Precisions

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

ival-mult: 5.0ms (24.8% of total)

adjust: 4.0ms (19.8% of total)

ival-neg: 3.0ms (14.9% of total)

ival-div: 2.0ms (9.9% of total)

ival-sub: 2.0ms (9.9% of total)

ival-sqrt: 2.0ms (9.9% of total)

ival-add: 2.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Memory

-13.8MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
28×	`+-commutative_binary64`
26×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	178
1	97	177
2	128	177
3	144	177
4	153	177
5	155	177

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -20999999999999999436189322827560136700085634943499688028406078940651492973786426024400341679766305212802330007134184559762627882364284981668219282278842368 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 1361764803244105/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -229999999999999991586479511119976935683273619472993320943582928824592438011360971646924391377350863358725917448854393497687097868288 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 2687693690613365/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5410876812138479/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 4199521391583383/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (.f64 a #s(literal 2 binary64))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -7559313193428757/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 6092105698723627/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 733708168239001/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 1558380939346983/2361183241434822606848 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

Outputs
(if (<=.f64 b #s(literal -20999999999999999436189322827560136700085634943499688028406078940651492973786426024400341679766305212802330007134184559762627882364284981668219282278842368 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 1361764803244105/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -20999999999999999436189322827560136700085634943499688028406078940651492973786426024400341679766305212802330007134184559762627882364284981668219282278842368 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 1361764803244105/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal 4 binary64)) c))) b) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -229999999999999991586479511119976935683273619472993320943582928824592438011360971646924391377350863358725917448854393497687097868288 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 2687693690613365/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -229999999999999991586479511119976935683273619472993320943582928824592438011360971646924391377350863358725917448854393497687097868288 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 2687693690613365/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -5410876812138479/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 4199521391583383/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (.f64 a #s(literal 2 binary64))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5410876812138479/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 4199521391583383/139984046386112763159840142535527767382602843577165595931249318810236991948760059086304843329475444736 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -7559313193428757/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 6092105698723627/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -7559313193428757/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 6092105698723627/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal 733708168239001/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 733708168239001/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal 1558380939346983/2361183241434822606848 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c b))
(if (<=.f64 b #s(literal 1558380939346983/2361183241434822606848 binary64)) (neg.f64 (/.f64 b a)) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

soundness1.1s (10.4%)

Memory

39.3MiB live, 831.8MiB allocated

Rules

11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
9 494×	`accelerator-lowering-fma.f32`
9 494×	`accelerator-lowering-fma.f64`
8 640×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1800
1	205	1800
2	560	1800
3	1730	1800
4	3801	1800
5	5847	1800
6	7281	1800
7	7905	1800
0	8002	1761
0	32	185
1	180	163
2	1655	159
0	8253	144
0	14	51
1	67	49
2	527	48
3	6858	48
0	8152	44
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047
0	1052	10144
1	3404	9980
0	8905	9576

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 427 to 233 computations (45.4% saved)

preprocess126.0ms (1.2%)

Memory: -31.1MiB live, 183.3MiB allocated
Compiler: Compiled 400 to 164 computations (59% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze190.0ms (1.8%)

sample2.2s (19.9%)

preprocess154.0ms (1.4%)

explain292.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify105.0ms (1%)

localize59.0ms (0.5%)

series25.0ms (0.2%)

rewrite459.0ms (4.2%)

simplify397.0ms (3.7%)

eval78.0ms (0.7%)

prune86.0ms (0.8%)

simplify180.0ms (1.7%)

localize119.0ms (1.1%)

series55.0ms (0.5%)

rewrite324.0ms (3%)

simplify443.0ms (4.1%)

eval526.0ms (4.8%)

prune240.0ms (2.2%)

simplify240.0ms (2.2%)

localize105.0ms (1%)

series12.0ms (0.1%)

rewrite295.0ms (2.7%)

simplify274.0ms (2.5%)

eval243.0ms (2.2%)

prune210.0ms (1.9%)

simplify583.0ms (5.4%)

localize61.0ms (0.6%)

series18.0ms (0.2%)

rewrite321.0ms (3%)

simplify275.0ms (2.5%)

eval272.0ms (2.5%)

prune206.0ms (1.9%)

regimes70.0ms (0.6%)

regimes16.0ms (0.1%)

regimes13.0ms (0.1%)

regimes22.0ms (0.2%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes22.0ms (0.2%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch54.0ms (0.5%)

bsearch53.0ms (0.5%)

bsearch48.0ms (0.4%)

bsearch57.0ms (0.5%)

bsearch81.0ms (0.7%)

bsearch64.0ms (0.6%)

bsearch36.0ms (0.3%)

simplify16.0ms (0.1%)

soundness1.1s (10.4%)

preprocess126.0ms (1.2%)

end0.0ms (0%)

Profiling