Metrics for Falkner and Boettcher, Equation (20:1,3)

analyze46.0ms (0.4%)

Memory

31.9MiB live, 109.1MiB 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
0%	0%	50%	0.1%	0%	50%	0%	4
0%	0%	50%	0.1%	0%	50%	0%	5
37.5%	18.7%	31.2%	0.1%	0%	50%	0%	6
43.8%	21.9%	28.1%	0.1%	0%	50%	0%	7
65.6%	32.8%	17.2%	0.1%	0%	50%	0%	8
70.3%	35.1%	14.8%	0.1%	0%	50%	0%	9
82%	41%	9%	0.1%	0%	50%	0%	10
84.8%	42.3%	7.6%	0.1%	0%	50%	0%	11
90.8%	45.4%	4.6%	0.1%	0%	50%	0%	12

Compiler

Compiled 30 to 21 computations (30% saved)

sample1.3s (10.9%)

Memory

33.0MiB live, 2 319.1MiB allocated

Samples

919.0ms	8 256×	0	valid
1.0ms	9×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 720.0ms

ival-mult: 383.0ms (53.2% of total)

ival-sub: 139.0ms (19.3% of total)

ival-sqrt: 66.0ms (9.2% of total)

ival-div: 65.0ms (9% of total)

ival-pi: 47.0ms (6.5% of total)

exact: 13.0ms (1.8% of total)

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

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess411.0ms (3.5%)

Memory

-31.0MiB live, 410.6MiB allocated

Algorithm

2×	egg-herbie

Rules

5 098×	`-lowering-.f32`
5 098×	`-lowering-.f64`
4 848×	`accelerator-lowering-fma.f32`
4 848×	`accelerator-lowering-fma.f64`
3 484×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	170
1	184	168
2	638	156
3	4449	156
0	19	28
1	57	28
2	189	26
3	903	26
4	4728	26
5	7444	26
0	8060	24

Stop Event

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

Calls

Call 1

Inputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

Outputs

(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))

Call 2

Inputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))))
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t))))

Outputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))
(/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v)))))
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (+ (* v v) -1)))) (sqrt (+ 2 (* (* v v) -6))))
(neg (/ (- 1 (* 5 (* (neg v) (neg v)))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* (neg v) (neg v))))))) (- 1 (* (neg v) (neg v))))))
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (+ (* v v) -1)))) (sqrt (+ 2 (* (* v v) -6))))
(neg (/ (- 1 (* 5 (* v v))) (* (* (* (PI) (neg t)) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))
(/ (/ (+ 1 (* v (* v -5))) (* (PI) (* t (- 1 (* v v))))) (sqrt (+ 2 (* (* v v) -6))))
(/ (- 1 (* 5 (* t t))) (* (* (* (PI) v) (sqrt (* 2 (- 1 (* 3 (* t t)))))) (- 1 (* t t))))
(/ (+ 1 (* t (* t -5))) (* (* v (PI)) (* (sqrt (+ 2 (* (* t t) -6))) (- 1 (* t t)))))

Symmetry

(abs v)

(negabs t)

explain274.0ms (2.4%)

Memory

24.2MiB live, 503.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 #s(literal 5 binary64) (.f64 v v))`
-	-	`(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))))`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`t`
-	-	`#s(literal 5 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))`
-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
-	-	`v`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))`
-	-	`(PI.f64)`
-	-	`(*.f64 (PI.f64) t)`
-	-	`(.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))`
-	-	`(*.f64 v v)`
-	-	`(.f64 #s(literal 3 binary64) (.f64 v v))`
-	-	`(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
-	-	`#s(literal 2 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
-	-	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

65.0ms

512×

valid

Compiler

Compiled 310 to 80 computations (74.2% saved)

Precisions

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

ival-mult: 22.0ms (51.5% of total)

ival-sub: 9.0ms (21.1% of total)

ival-sqrt: 6.0ms (14% of total)

ival-div: 3.0ms (7% of total)

ival-pi: 2.0ms (4.7% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Status

Accuracy

Program

▶

99.5%

(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (*.f64 (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Compiler

Compiled 30 to 19 computations (36.7% saved)

simplify293.0ms (2.5%)

Memory

-12.8MiB live, 454.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
✓	cost-diff	320	(.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))

Rules

5 098×	`-lowering-.f32`
5 098×	`-lowering-.f64`
4 848×	`accelerator-lowering-fma.f32`
4 848×	`accelerator-lowering-fma.f64`
3 484×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	123
1	57	123
2	189	113
3	903	113
4	4728	113
5	7444	113
0	8060	105

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
(* (PI) t)
(PI)
t
(sqrt (* 2 (- 1 (* 3 (* v v)))))
(* 2 (- 1 (* 3 (* v v))))
2
(- 1 (* 3 (* v v)))
(* 3 (* v v))
3
(- 1 (* v v))

Outputs
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(- 1 (* 5 (* v v)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 5 (* v v))
(.f64 #s(literal 5 binary64) (.f64 v v))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))
(.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt (* 2 (- 1 (* 3 (* v v)))))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(* 2 (- 1 (* 3 (* v v))))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 1 (* 3 (* v v)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* 3 (* v v))
(.f64 (.f64 v v) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))

localize52.0ms (0.4%)

Memory

12.2MiB live, 129.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 v v))
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	accuracy	99.4%	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v))))))

Samples

30.0ms

256×

valid

Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions

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

ival-mult: 10.0ms (54% of total)

ival-sub: 3.0ms (16.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.2%)

Memory

-10.0MiB live, 43.9MiB allocated

Counts

7 → 108

Calls

Call 1

Inputs
#<alt (* 2 (- 1 (* 3 (* v v))))>
#<alt (- 1 (* 5 (* v v)))>
#<alt (- 1 (* 3 (* v v)))>
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))>
#<alt (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))>
#<alt (* (PI) t)>
#<alt (* 3 (* v v))>

Outputs
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt 1>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (+ 1 (* -3 (pow v 2)))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* -3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)>
#<alt (* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))>
#<alt (* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))>
#<alt (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))>
#<alt (* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	t	@	0	(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
4.0ms	t	@	0	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
2.0ms	v	@	inf	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
2.0ms	v	@	0	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
1.0ms	t	@	inf	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

rewrite388.0ms (3.3%)

Memory

15.4MiB live, 558.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 648×	`accelerator-lowering-fma.f32`
6 648×	`accelerator-lowering-fma.f64`
6 256×	`-lowering-.f32`
6 256×	`-lowering-.f64`
3 752×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	115	73
2	910	67
0	8745	61

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 495

Calls

Call 1

Inputs
(* 2 (- 1 (* 3 (* v v))))
(- 1 (* 5 (* v v)))
(- 1 (* 3 (* v v)))
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
(* (PI) t)
(* 3 (* v v))

Outputs
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 (*.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 6 binary64) (neg.f64 (*.f64 v v)) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 (.f64 v v))) #s(literal 3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) v)) (neg.f64 v) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v #s(literal -3 binary64))) v #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (*.f64 v v))) #s(literal -27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (*.f64 v v))) #s(literal -27 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -27 binary64)))) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64)))) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -27 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 v v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -27 binary64))))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64))))) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -27 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v))) (.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (.f64 v v))))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -6 binary64) (.f64 v v)) (.f64 #s(literal -6 binary64) (.f64 v v)))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal -6 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 v v) #s(literal -3 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -27 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 9 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -9 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 v v) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -5 binary64))))
(+.f64 (.f64 v (.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 125 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal 5 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 125 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 125 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 v (.f64 v #s(literal -5 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 v) (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal 5 binary64)) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 v (.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 v #s(literal -5 binary64))) v #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) v #s(literal 1 binary64))
(neg.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64))) (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25 binary64))) (neg.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125 binary64)))) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 125 binary64)))) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)) #s(literal 1 binary64))))
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(.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
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(.f64 t (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (.f64 (cbrt.f64 (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 (PI.f64)) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) (PI.f64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (.f64 (PI.f64) t)))
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(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
(.f64 (.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))) t)
(.f64 (.f64 (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (PI.f64))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cbrt.f64 (PI.f64)) t))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) t))
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(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (PI.f64) t)))
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(.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))) t)
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(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
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(.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))
(.f64 #s(literal 3 binary64) (.f64 v v))
(.f64 v (.f64 #s(literal 3 binary64) v))
(.f64 (.f64 v v) #s(literal 3 binary64))
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(.f64 (.f64 #s(literal 3 binary64) v) v)

simplify559.0ms (4.8%)

Memory

-13.7MiB live, 813.4MiB allocated

Algorithm

1×	egg-herbie

Rules

23 106×	`accelerator-lowering-fma.f32`
23 106×	`accelerator-lowering-fma.f64`
5 894×	`-lowering-.f32`
5 894×	`-lowering-.f64`
3 560×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	2113
1	576	2013
2	2413	1898
0	8035	1805

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
1
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(+ 1 (* -3 (pow v 2)))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* -3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(* t (* (PI) (sqrt 2)))
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(+ 2 (* -6 (pow v 2)))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(* -6 (pow v 2))
(.f64 #s(literal -6 binary64) (.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* -6 (pow v 2))
(.f64 #s(literal -6 binary64) (.f64 v v))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(.f64 v (.f64 v (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 v v)))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* -5 (pow v 2))
(.f64 (.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* -5 (pow v 2))
(.f64 (.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 (.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 (.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(/ 1 (* t (* (PI) (sqrt 2))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -5/2 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (.f64 v v) (/.f64 #s(literal -5/2 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (pow v 2) (- (* -53/8 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (/.f64 #s(literal -53/8 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -5/2 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* 135/16 (/ 1 (* t (* (PI) (sqrt 2))))) (* 47/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 53/8 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 5/2 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal -241/16 binary64) (.f64 v v) #s(literal -53/8 binary64))) (/.f64 #s(literal -5/2 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(* 5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/.f64 (.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 v (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) t)) (/.f64 #s(literal 5 binary64) t)) (/.f64 #s(literal -5/18 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) t)))) v)
(/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -5/72 binary64) (.f64 t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) (.f64 v v))))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) t)) (/.f64 #s(literal 4 binary64) (.f64 t (.f64 (.f64 v v) (.f64 v v))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -5/18 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) t))))) (/.f64 #s(literal -2/9 binary64) (.f64 t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) (.f64 v v))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v)
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64))))) (+.f64 (/.f64 #s(literal -5/2 binary64) (.f64 t (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal -2 binary64) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 t (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 4 binary64) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) t)) (/.f64 #s(literal 5 binary64) t)) (/.f64 #s(literal -25/1296 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 t (pow.f64 v #s(literal 6 binary64)))))))) (+.f64 (-.f64 (/.f64 #s(literal -5/18 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) t))) (/.f64 #s(literal 2/9 binary64) (.f64 t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 #s(literal -2/9 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 t (pow.f64 v #s(literal 6 binary64))))))) v)
(* -5 (/ (sqrt -1/3) (* t (* v (* (PI) (sqrt 2))))))
(/.f64 (.f64 #s(literal -5 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 v (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))) (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) v))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) t)) (/.f64 #s(literal 5 binary64) t)) (/.f64 #s(literal -5/18 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) t)))) (neg.f64 v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2)))))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))))) v))
(/.f64 (+.f64 (/.f64 #s(literal -5/72 binary64) (.f64 t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) (.f64 v v))))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) t)) (/.f64 #s(literal 4 binary64) (.f64 t (.f64 (.f64 v v) (.f64 v v))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -5/18 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) t))))) (/.f64 #s(literal -2/9 binary64) (.f64 t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) (.f64 v v))))))) (neg.f64 v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/81 (* 1/18 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -5/2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* -2 (/ (+ 1/27 (* 1/324 (/ 1 (pow (sqrt -1/3) 2)))) (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2))))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 2) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ (sqrt -1/3) (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (* 5 (/ (sqrt -1/3) (* t (* (PI) (sqrt 2))))))))))) (+ (/ 2/9 (* t (* (pow v 6) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (+ (/ 5/18 (* t (* (pow v 2) (* (PI) (* (sqrt -1/3) (sqrt 2)))))) (* 2/9 (/ 1 (* t (* (pow v 4) (* (PI) (* (sqrt -1/3) (sqrt 2)))))))))) v))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64))))) (+.f64 (/.f64 #s(literal -5/2 binary64) (.f64 t (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal -2 binary64) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 t (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 4 binary64) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 v v) t)) (/.f64 #s(literal 5 binary64) t)) (/.f64 #s(literal -25/1296 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 t (pow.f64 v #s(literal 6 binary64)))))))) (+.f64 (-.f64 (/.f64 #s(literal -5/18 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) t))) (/.f64 #s(literal 2/9 binary64) (.f64 t (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 #s(literal -2/9 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 t (pow.f64 v #s(literal 6 binary64))))))) (neg.f64 v))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))) (sqrt (/ 1 (- 1 (* 3 (pow v 2))))))
(/.f64 (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) t)))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (* t (* (PI) (sqrt 2))) (sqrt (- 1 (* 3 (pow v 2)))))
(.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(+ (* -3/2 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* t (* (PI) (sqrt 2))))
(.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) t) t))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* -9/8 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(fma.f64 (.f64 v v) (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal -9/8 binary64) (.f64 v v) #s(literal -3/2 binary64))) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3/2 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -27/16 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* -9/8 (* t (* (PI) (sqrt 2)))))))))
(fma.f64 (.f64 v v) (.f64 (.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal -27/16 binary64) (.f64 v v) #s(literal -9/8 binary64))) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -3/2 binary64) (.f64 (*.f64 v v) t) t)))
(* t (* v (* (PI) (* (sqrt -3) (sqrt 2)))))
(.f64 v (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64))))
(* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))
(.f64 v (.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(.f64 v (fma.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))))
(* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(.f64 v (fma.f64 t (fma.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64)))))
(* -1 (* t (* v (* (PI) (* (sqrt -3) (sqrt 2))))))
(.f64 t (.f64 (.f64 v (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* v (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))
(.f64 (.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 v))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2))))))))
(.f64 (fma.f64 t (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64))))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))) (neg.f64 v))
(* -1 (* v (+ (* -1/8 (/ (* t (* (PI) (sqrt 2))) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (* t (* (PI) (sqrt 2))) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (* t (* (PI) (sqrt 2))) (* (pow v 2) (sqrt -3)))) (* t (* (PI) (* (sqrt -3) (sqrt 2)))))))))
(neg.f64 (.f64 v (fma.f64 t (fma.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/24 binary64))))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))

eval118.0ms (1%)

Memory: -10.4MiB live, 176.8MiB allocated
Compiler: Compiled 26 573 to 2 054 computations (92.3% saved)

prune122.0ms (1.1%)

Memory

12.7MiB live, 171.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	594	9	603
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	595	9	604

Accuracy

100.0%

Counts

604 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
▶	99.5%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	98.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
	98.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	99.5%	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
▶	99.4%	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
	99.5%	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))

Compiler

Compiled 434 to 288 computations (33.6% saved)

simplify217.0ms (1.9%)

Memory

12.5MiB live, 410.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 v #s(literal -5 binary64))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	cost-diff	704	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
✓	cost-diff	0	(*.f64 v #s(literal -5 binary64))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
✓	cost-diff	0	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))

Rules

6 422×	`-lowering-.f32`
6 422×	`-lowering-.f64`
3 392×	`accelerator-lowering-fma.f32`
3 392×	`accelerator-lowering-fma.f64`
3 092×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	405
1	101	405
2	369	405
3	1839	405
4	5477	405
0	8272	380

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(* (sqrt (+ (* -6 (* v v)) 2)) (PI))
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
2
(PI)
t
(- 1 (* v v))
(/ 1 (* (PI) (* t (sqrt 2))))
1
(* (PI) (* t (sqrt 2)))
(PI)
(* t (sqrt 2))
t
(sqrt 2)
2
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(* (* (* (PI) t) (sqrt 2)) (- 1 (* v v)))
(* (* (PI) t) (sqrt 2))
(* (PI) t)
(PI)
t
(sqrt 2)
2
(- 1 (* v v))
(/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))
(/ (+ (* v (* v -5)) 1) (* (PI) t))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(* (PI) t)
(PI)
t
(* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
(* v v)
2
(- 1 (* v v))
(* (/ (+ (* v (* v -5)) 1) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/ 1 (* (PI) t)))
(/ (+ (* v (* v -5)) 1) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
(* v v)
2
(- 1 (* v v))
(/ 1 (* (PI) t))
(* (PI) t)
(PI)
t

Outputs
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(- 1 (* 5 (* v v)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 5 (* v v))
(.f64 #s(literal 5 binary64) (.f64 v v))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(* (sqrt (+ (* -6 (* v v)) 2)) (PI))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(PI)
(PI.f64)
t
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ 1 (* (PI) (* t (sqrt 2))))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) t)))
1
#s(literal 1 binary64)
(* (PI) (* t (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) t))
(PI)
(PI.f64)
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(- 1 (* 5 (* v v)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 5 (* v v))
(.f64 #s(literal 5 binary64) (.f64 v v))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(* (* (* (PI) t) (sqrt 2)) (- 1 (* v v)))
(.f64 (.f64 (PI.f64) t) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (* (PI) t) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) t))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/ (+ (* v (* v -5)) 1) (* (PI) t))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
(+ (* v (* v -5)) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
(* v v)
(*.f64 v v)
2
#s(literal 2 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (/ (+ (* v (* v -5)) 1) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/ 1 (* (PI) t)))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/ (+ (* v (* v -5)) 1) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(+ (* v (* v -5)) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
(* v v)
(*.f64 v v)
2
#s(literal 2 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ 1 (* (PI) t))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t

localize147.0ms (1.3%)

Memory

-6.8MiB live, 301.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓	accuracy	99.3%	(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
✓	accuracy	98.5%	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t))
✓	accuracy	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	accuracy	99.8%	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	accuracy	99.4%	(.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.4%	(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.3%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))
✓	accuracy	99.8%	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	accuracy	99.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
✓	accuracy	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Samples

75.0ms

256×

valid

Compiler

Compiled 388 to 38 computations (90.2% saved)

Precisions

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

ival-mult: 20.0ms (51% of total)

ival-div: 10.0ms (25.5% of total)

ival-sqrt: 4.0ms (10.2% of total)

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

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

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

exact: 1.0ms (2.6% of total)

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

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

series35.0ms (0.3%)

Memory

29.6MiB live, 66.8MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#<alt (- 1 (* 5 (* v v)))>
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))>
#<alt (* 5 (* v v))>
#<alt (* v v)>
#<alt (/ 1 (* (PI) (* t (sqrt 2))))>
#<alt (* (PI) (* t (sqrt 2)))>
#<alt (PI)>
#<alt (* t (sqrt 2))>
#<alt (/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))))>
#<alt (/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))>
#<alt (/ (+ (* v (* v -5)) 1) (* (PI) t))>
#<alt (+ (* v (* v -5)) 1)>
#<alt (* v -5)>
#<alt (* (/ (+ (* v (* v -5)) 1) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/ 1 (* (PI) t)))>
#<alt (/ (+ (* v (* v -5)) 1) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))>
#<alt (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)>
#<alt (* (sqrt (+ (* -6 (* v v)) 2)) (PI))>
#<alt (* (* (PI) t) (sqrt 2))>
#<alt (* (PI) t)>
#<alt (/ 1 (* (PI) t))>

Outputs
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
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#<alt (* -1 (* t (* v (* (PI) (sqrt -6)))))>
#<alt (* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))>
#<alt (* v (* (PI) (sqrt -6)))>
#<alt (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (* (PI) (sqrt -6))))>
#<alt (* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>

Calls

75 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
4.0ms	t	@	0	(/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))
2.0ms	t	@	0	(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
2.0ms	v	@	0	(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
1.0ms	v	@	0	(* (sqrt (+ (* -6 (* v v)) 2)) (PI))

rewrite509.0ms (4.4%)

Memory

-16.2MiB live, 799.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 606×	`/-lowering-/.f32`
4 606×	`/-lowering-/.f64`
3 684×	`-lowering-.f32`
3 684×	`-lowering-.f64`
3 108×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	211
1	208	211
2	1859	210
0	8530	196

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 554

Calls

Call 1

Inputs
(- 1 (* 5 (* v v)))
(/ (- 1 (* 5 (* v v))) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(* 5 (* v v))
(* v v)
(/ 1 (* (PI) (* t (sqrt 2))))
(* (PI) (* t (sqrt 2)))
(PI)
(* t (sqrt 2))
(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt 2)) (- 1 (* v v))))
(/ (/ (+ (* v (* v -5)) 1) (* (PI) t)) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))
(/ (+ (* v (* v -5)) 1) (* (PI) t))
(+ (* v (* v -5)) 1)
(* v -5)
(* (/ (+ (* v (* v -5)) 1) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v)))) (/ 1 (* (PI) t)))
(/ (+ (* v (* v -5)) 1) (* (sqrt (+ (* -6 (* v v)) 2)) (- 1 (* v v))))
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(* (sqrt (+ (* -6 (* v v)) 2)) (PI))
(* (* (PI) t) (sqrt 2))
(* (PI) t)
(/ 1 (* (PI) t))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))
(+.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64))) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64))) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64))) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64))) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal 5 binary64) (neg.f64 (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 v (*.f64 #s(literal 5 binary64) v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) (neg.f64 v) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal 5 binary64) v)) v #s(literal 1 binary64))
(neg.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)) (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64))))) (.f64 (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64)))) (.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64)) (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))))
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simplify472.0ms (4.1%)

Memory

10.0MiB live, 789.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 166×	`accelerator-lowering-fma.f32`
13 166×	`accelerator-lowering-fma.f64`
6 112×	`-lowering-.f32`
6 112×	`-lowering-.f64`
4 100×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	6416
1	1133	5824
2	4333	5748
0	8103	5481

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2))))))
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/ 1 (* t (PI)))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(+ (* -5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(* -5 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* -5 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (PI)))) (* 5 (/ 1 (* t (PI))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
(/ (+ 1 (* -5 (pow v 2))) (* t (PI)))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 v)
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(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* (pow v 2) (+ (* -4 (sqrt 1/2)) (* 3/4 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* -4 (sqrt 1/2)) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (- (+ (* -4 (sqrt 1/2)) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 3 (/ 1 (sqrt 1/2)))))))))
(+ (sqrt 1/2) (* (pow v 2) (+ (* -4 (sqrt 1/2)) (+ (* 3/4 (/ 1 (sqrt 1/2))) (* (pow v 2) (- (+ (* -4 (sqrt 1/2)) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* (pow v 2) (- (+ (* -4 (sqrt 1/2)) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 3 (/ 1 (sqrt 1/2))))))) (* 3 (/ 1 (sqrt 1/2)))))))))
(* 5 (/ (sqrt -1/6) v))
(/ (- (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (* 5 (sqrt -1/6))) (/ 5/36 (* (pow v 2) (sqrt -1/6)))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (* 5 (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (+ (* 4 (/ (sqrt -1/6) (pow v 6))) (* 5 (sqrt -1/6)))))))) (+ (/ 1/9 (* (pow v 6) (sqrt -1/6))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (sqrt -1/6))))))) v)
(* -5 (/ (sqrt -1/6) v))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (* 5 (sqrt -1/6))) (/ 5/36 (* (pow v 2) (sqrt -1/6)))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (* 5 (sqrt -1/6))))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 4) (sqrt -1/6)))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* (pow v 6) (sqrt -1/6)))) (+ (* 4 (/ (sqrt -1/6) (pow v 2))) (+ (* 4 (/ (sqrt -1/6) (pow v 4))) (+ (* 4 (/ (sqrt -1/6) (pow v 6))) (* 5 (sqrt -1/6)))))))) (+ (/ 1/9 (* (pow v 6) (sqrt -1/6))) (+ (/ 5/36 (* (pow v 2) (sqrt -1/6))) (* 1/9 (/ 1 (* (pow v 4) (sqrt -1/6))))))) v))
(* t (* (PI) (sqrt 2)))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))
(* t (* v (* (PI) (sqrt -6))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* -5 (pow v 2))
(.f64 #s(literal -5 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* -5 (pow v 2))
(.f64 #s(literal -5 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 t (PI.f64))) (/.f64 #s(literal 3/4 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 t (PI.f64))) (/.f64 #s(literal 27/16 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 #s(literal 3 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 t (PI.f64))) (/.f64 #s(literal 3/4 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (+.f64 (fma.f64 (.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal -27/4 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))) (/.f64 #s(literal 135/32 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 t (PI.f64))) (/.f64 #s(literal -3 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 t (PI.f64))) (/.f64 #s(literal 27/16 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (/.f64 #s(literal -3 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 t (PI.f64))) (/.f64 #s(literal 3/4 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 v (*.f64 t (PI.f64))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (.f64 v v) (.f64 v v))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (-.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -25/2592 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (+.f64 (+.f64 (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (.f64 v v) (.f64 t (PI.f64)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (.f64 v v) (.f64 v v))))) (fma.f64 (sqrt.f64 #s(literal -1/6 binary64)) (/.f64 #s(literal 5 binary64) (.f64 t (PI.f64))) (/.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (.f64 (.f64 t (PI.f64)) (pow.f64 v #s(literal 6 binary64))))))) (-.f64 (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (+.f64 (+.f64 (/.f64 #s(literal 5/36 binary64) (.f64 (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t)))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64))))))))) v)
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(fma.f64 (.f64 v v) (fma.f64 (/.f64 (.f64 v (.f64 v (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64) (/.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64) (/.f64 (.f64 (.f64 v (.f64 v (PI.f64))) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* v (* (PI) (sqrt -6)))
(.f64 v (.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(.f64 v (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(.f64 v (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 v (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
(* -1 (* v (* (PI) (sqrt -6))))
(.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (PI.f64) (neg.f64 v)))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(.f64 (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(.f64 (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))) (neg.f64 v))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (* (PI) (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(* t (PI))
(*.f64 t (PI.f64))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))
(/ 1 (* t (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 t (PI.f64)))

eval454.0ms (3.9%)

Memory: 38.6MiB live, 731.3MiB allocated
Compiler: Compiled 88 134 to 3 929 computations (95.5% saved)

prune221.0ms (1.9%)

Memory

-14.3MiB live, 548.9MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	2 467	9	2 476
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	2 474	11	2 485

Accuracy

100.0%

Counts

2 485 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))
	99.4%	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
	99.5%	(/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (neg.f64 (.f64 (PI.f64) t))))
	98.4%	(/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
▶	98.4%	(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
▶	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
▶	97.8%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
▶	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	97.8%	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))

Compiler

Compiled 350 to 257 computations (26.6% saved)

simplify427.0ms (3.7%)

Memory

-45.9MiB live, 511.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t))
✓	cost-diff	256	(neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) t)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) t)
✓	cost-diff	0	(.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 t (PI.f64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓	cost-diff	0	(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))

Rules

6 606×	`accelerator-lowering-fma.f32`
6 606×	`accelerator-lowering-fma.f64`
4 338×	`-lowering-.f32`
4 338×	`-lowering-.f64`
1 768×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	238
1	85	238
2	207	236
3	665	236
4	2043	236
5	4615	236
6	7839	236
0	8247	222

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (* v v) -5) 1) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(+ (* (* v v) -5) 1)
(* v v)
v
-5
1
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(* (sqrt (+ (* -6 (* v v)) 2)) (PI))
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
2
(PI)
t
(- 1 (* v v))
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
1/2
(* t (PI))
t
(PI)
(/ 1 (* (* (PI) t) (sqrt 2)))
1
(* (* (PI) t) (sqrt 2))
(* (PI) t)
(PI)
t
(sqrt 2)
2
(/ (/ 1 (* (PI) t)) (sqrt 2))
(/ 1 (* (PI) t))
1
(* (PI) t)
(PI)
t
(sqrt 2)
2
(/ (/ (+ (* 5 (* v v)) -1) (* (PI) t)) (neg (* (- 1 (* v v)) (sqrt 2))))
(/ (+ (* 5 (* v v)) -1) (* (PI) t))
(+ (* 5 (* v v)) -1)
5
(* v v)
v
-1
(* (PI) t)
(PI)
t
(neg (* (- 1 (* v v)) (sqrt 2)))
(* (- 1 (* v v)) (sqrt 2))
(- 1 (* v v))
1
(sqrt 2)
2

Outputs
(/ (+ (* (* v v) -5) 1) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 t (*.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))))
(+ (* (* v v) -5) 1)
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
(neg.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))))
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(* (sqrt (+ (* -6 (* v v)) 2)) (PI))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(PI)
(PI.f64)
t
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* t (PI))
(*.f64 (PI.f64) t)
t
(PI)
(PI.f64)
(/ 1 (* (* (PI) t) (sqrt 2)))
(/.f64 #s(literal 1 binary64) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(* (* (PI) t) (sqrt 2))
(.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ 1 (* (PI) t)) (sqrt 2))
(/.f64 #s(literal 1 binary64) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/ 1 (* (PI) t))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
1
#s(literal 1 binary64)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ (+ (* 5 (* v v)) -1) (* (PI) t)) (neg (* (- 1 (* v v)) (sqrt 2))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (.f64 (PI.f64) (fma.f64 v v #s(literal -1 binary64))))))
(/ (+ (* 5 (* v v)) -1) (* (PI) t))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t))
(+ (* 5 (* v v)) -1)
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
-1
#s(literal -1 binary64)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(neg (* (- 1 (* v v)) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(* (- 1 (* v v)) (sqrt 2))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
1
#s(literal 1 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize136.0ms (1.2%)

Memory

5.4MiB live, 243.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t))
✓	accuracy	99.4%	(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 t (PI.f64))
✓	accuracy	99.4%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))
✓	accuracy	99.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)) t)
✓	accuracy	99.6%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))

Samples

63.0ms

256×

valid

Compiler

Compiled 229 to 38 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 16.0ms (38.7% of total)

ival-div: 12.0ms (29% of total)

ival-add: 5.0ms (12.1% of total)

ival-sqrt: 5.0ms (12.1% of total)

ival-pi: 1.0ms (2.4% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

series21.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

20 → 276

Calls

Call 1

Inputs
#<alt (/ (+ (* (* v v) -5) 1) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))>
#<alt (+ (* (* v v) -5) 1)>
#<alt (* v v)>
#<alt (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (sqrt 1/2)>
#<alt (* t (PI))>
#<alt (PI)>
#<alt (/ 1 (* (* (PI) t) (sqrt 2)))>
#<alt (* (* (PI) t) (sqrt 2))>
#<alt (* (PI) t)>
#<alt (/ (/ 1 (* (PI) t)) (sqrt 2))>
#<alt (/ 1 (* (PI) t))>
#<alt (/ (/ (+ (* 5 (* v v)) -1) (* (PI) t)) (neg (* (- 1 (* v v)) (sqrt 2))))>
#<alt (neg (* (- 1 (* v v)) (sqrt 2)))>
#<alt (/ (+ (* 5 (* v v)) -1) (* (PI) t))>
#<alt (+ (* 5 (* v v)) -1)>
#<alt (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)>
#<alt (* (sqrt (+ (* -6 (* v v)) 2)) (PI))>
#<alt (* (- 1 (* v v)) (sqrt 2))>

Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))>
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))>
#<alt (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))>
#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (* t (PI))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (PI)))>
#<alt (/ 1 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))>
#<alt (* -1 (sqrt 2))>
#<alt (- (* (pow v 2) (sqrt 2)) (sqrt 2))>
#<alt (- (* (pow v 2) (sqrt 2)) (sqrt 2))>
#<alt (- (* (pow v 2) (sqrt 2)) (sqrt 2))>
#<alt (* (pow v 2) (sqrt 2))>
#<alt (* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))>
#<alt (* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))>
#<alt (* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))>
#<alt (* (pow v 2) (sqrt 2))>
#<alt (* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))>
#<alt (* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))>
#<alt (* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))>
#<alt (/ -1 (* t (PI)))>
#<alt (- (* 5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (- (* 5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (- (* 5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))>
#<alt (* 5 (/ (pow v 2) (* t (PI))))>
#<alt (* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))>
#<alt (* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))>
#<alt (* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))>
#<alt (* 5 (/ (pow v 2) (* t (PI))))>
#<alt (* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))>
#<alt (* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))>
#<alt (* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (PI)))>
#<alt -1>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (* 5 (pow v 2))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* 5 (pow v 2))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* t (* (PI) (sqrt 2)))>
#<alt (+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))>
#<alt (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))>
#<alt (* t (* v (* (PI) (sqrt -6))))>
#<alt (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* t (* v (* (PI) (sqrt -6)))))>
#<alt (* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))>
#<alt (* (PI) (sqrt 2))>
#<alt (+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))>
#<alt (* v (* (PI) (sqrt -6)))>
#<alt (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (* (PI) (sqrt -6))))>
#<alt (* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (* -1 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* -1 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>

Calls

69 calls:

Time	Variable		Point	Expression
7.0ms	t	@	0	(/ (sqrt 1/2) (* t (PI)))
1.0ms	t	@	0	(/ (/ (+ (* 5 (* v v)) -1) (* (PI) t)) (neg (* (- 1 (* v v)) (sqrt 2))))
1.0ms	t	@	inf	(/ (/ (+ (* 5 (* v v)) -1) (* (PI) t)) (neg (* (- 1 (* v v)) (sqrt 2))))
1.0ms	v	@	inf	(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
1.0ms	t	@	inf	(/ (sqrt 1/2) (* t (PI)))

rewrite571.0ms (4.9%)

Memory

-24.6MiB live, 453.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 518×	`-lowering-.f32`
4 518×	`-lowering-.f64`
4 410×	`accelerator-lowering-fma.f32`
4 410×	`accelerator-lowering-fma.f64`
3 972×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	174
1	200	172
2	1520	170
0	8814	158

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 169

Calls

Call 1

Inputs
(/ (+ (* (* v v) -5) 1) (* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v))))
(+ (* (* v v) -5) 1)
(* v v)
(* (* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t) (- 1 (* v v)))
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
(* t (PI))
(PI)
(/ 1 (* (* (PI) t) (sqrt 2)))
(* (* (PI) t) (sqrt 2))
(* (PI) t)
(/ (/ 1 (* (PI) t)) (sqrt 2))
(/ 1 (* (PI) t))
(/ (/ (+ (* 5 (* v v)) -1) (* (PI) t)) (neg (* (- 1 (* v v)) (sqrt 2))))
(neg (* (- 1 (* v v)) (sqrt 2)))
(/ (+ (* 5 (* v v)) -1) (* (PI) t))
(+ (* 5 (* v v)) -1)
(* (* (sqrt (+ (* -6 (* v v)) 2)) (PI)) t)
(* (sqrt (+ (* -6 (* v v)) 2)) (PI))
(* (- 1 (* v v)) (sqrt 2))

Outputs
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) (.f64 (.f64 v (.f64 v #s(literal -5 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) (.f64 v (.f64 v #s(literal -5 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) (.f64 v (.f64 v #s(literal -5 binary64)))))
(+.f64 (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (.f64 v (fma.f64 v (.f64 v v) v))))
(+.f64 (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (.f64 v (fma.f64 v (.f64 v v) v))) (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))) (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (.f64 v v)))
(+.f64 (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v))))) (.f64 v v)) (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (*.f64 v v))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v))))) (*.f64 v v)))
(+.f64 (.f64 (.f64 v (.f64 v #s(literal -5 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))))
(+.f64 (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 (.f64 v v) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))))
(+.f64 (.f64 (.f64 v v) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (*.f64 v v)))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (.f64 (.f64 v v) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (*.f64 v v)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 v v) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v)))))))
(fma.f64 (.f64 v (.f64 v #s(literal -5 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) (.f64 (.f64 v (.f64 v #s(literal -5 binary64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (.f64 (.f64 v (fma.f64 v (.f64 v v) v)) (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))))))
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(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (neg.f64 (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 v v))) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 v v)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 v v)))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 v v))))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 v v)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (neg.f64 (fma.f64 v (fma.f64 v (*.f64 v v) v) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))))) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 v v #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (fma.f64 v (.f64 v v) v) #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))

simplify552.0ms (4.7%)

Memory

14.8MiB live, 887.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 190×	`accelerator-lowering-fma.f32`
13 190×	`accelerator-lowering-fma.f64`
6 508×	`-lowering-.f32`
6 508×	`-lowering-.f64`
4 934×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	4477
1	1140	4254
2	4705	4242
0	8785	4053

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* t (* (PI) (sqrt 2)))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* -1 (* t (* (PI) (sqrt 2)))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 3 (/ (* t (PI)) (sqrt 2)))))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (PI)) (pow (sqrt 2) 5))) (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))))))
(* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2)))))))))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (/ (* t (PI)) (* (pow v 4) (sqrt -6))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (* (PI) (- 1 (pow v 2)))) (sqrt (+ 2 (* -6 (pow v 2)))))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (* (PI) (sqrt 2))))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- 1 (pow v 2)))))))
(* -1 (sqrt 2))
(- (* (pow v 2) (sqrt 2)) (sqrt 2))
(- (* (pow v 2) (sqrt 2)) (sqrt 2))
(- (* (pow v 2) (sqrt 2)) (sqrt 2))
(* (pow v 2) (sqrt 2))
(* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))
(* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))
(* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))
(* (pow v 2) (sqrt 2))
(* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))
(* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))
(* (pow v 2) (- (* -1 (/ (sqrt 2) (pow v 2))) (* -1 (sqrt 2))))
(/ -1 (* t (PI)))
(- (* 5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(- (* 5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(- (* 5 (/ (pow v 2) (* t (PI)))) (/ 1 (* t (PI))))
(* 5 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))
(* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))
(* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))
(* 5 (/ (pow v 2) (* t (PI))))
(* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))
(* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))
(* (pow v 2) (- (* 5 (/ 1 (* t (PI)))) (/ 1 (* t (* (pow v 2) (PI))))))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
(/ (- (* 5 (pow v 2)) 1) (* t (PI)))
-1
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* t (* (PI) (sqrt 2)))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 5))) (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))))))))
(* t (* v (* (PI) (sqrt -6))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(sqrt 2)
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(* -1 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -1 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))

Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (.f64 v v) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (fma.f64 (.f64 v v) (+.f64 (+.f64 (/.f64 #s(literal -27/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))) (/.f64 #s(literal 135/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (.f64 #s(literal 5 binary64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (*.f64 (PI.f64) v)))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v)))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (.f64 (.f64 v v) (.f64 v v))))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (.f64 (.f64 v v) (*.f64 v v))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(/.f64 (+.f64 (/.f64 #s(literal -25/2592 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64))))) (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))))) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 (.f64 t (PI.f64)) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal 5 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (PI.f64))) (/.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal 4 binary64)) (.f64 t (.f64 (PI.f64) (.f64 v v)))))) (+.f64 (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (.f64 (.f64 v v) (.f64 v v))))) (/.f64 #s(literal -1/36 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (pow.f64 v #s(literal 6 binary64))))))) (+.f64 (+.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v v) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) t))) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 t (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 t (pow.f64 v #s(literal 6 binary64)))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
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(.f64 #s(literal 5 binary64) (.f64 v (/.f64 v (*.f64 t (PI.f64)))))
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-1
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(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
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(* 5 (pow v 2))
(.f64 (.f64 v v) #s(literal 5 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
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(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
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(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 t (.f64 (PI.f64) (*.f64 v v))) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(fma.f64 (.f64 v v) (fma.f64 t (/.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (.f64 (.f64 v v) (.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
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(.f64 (.f64 t (PI.f64)) (*.f64 (sqrt.f64 #s(literal -6 binary64)) v))
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(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
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(* -1 (* t (* v (* (PI) (sqrt -6)))))
(.f64 (.f64 t (PI.f64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) v)))
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(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
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(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 t (PI.f64)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 t (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 (.f64 (.f64 t (PI.f64)) #s(literal -1/2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
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(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
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(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (* t (PI)) (sqrt (+ 2 (* -6 (pow v 2)))))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(* (PI) (sqrt 2))
(*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (PI.f64) (*.f64 v v)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -9/4 binary64) (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (PI.f64) (.f64 v v)) #s(literal -27/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 (PI.f64) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(* v (* (PI) (sqrt -6)))
(.f64 (PI.f64) (.f64 (sqrt.f64 #s(literal -6 binary64)) v))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(.f64 v (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(.f64 v (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 v (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
(* -1 (* v (* (PI) (sqrt -6))))
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(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(.f64 v (neg.f64 (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
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(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
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(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
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(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
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eval275.0ms (2.4%)

Memory: 37.8MiB live, 584.7MiB allocated
Compiler: Compiled 44 846 to 4 099 computations (90.9% saved)

prune264.0ms (2.3%)

Memory

-44.7MiB live, 526.9MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1 794	11	1 805
Fresh	5	0	5
Picked	2	3	5
Done	0	1	1
Total	1 801	15	1 816

Accuracy

100.0%

Counts

1 816 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (PI.f64) t)))
▶	98.3%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	99.6%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))
▶	98.4%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	98.3%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	98.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))
	98.3%	(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
▶	97.8%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
	97.8%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	97.8%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	97.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))

Compiler

Compiled 394 to 300 computations (23.9% saved)

simplify406.0ms (3.5%)

Memory

25.0MiB live, 659.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 v #s(literal 5 binary64))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	cost-diff	0	(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
✓	cost-diff	384	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) t)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 v #s(literal 5 binary64))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))

Rules

17 472×	`accelerator-lowering-fma.f32`
17 472×	`accelerator-lowering-fma.f64`
4 368×	`-lowering-.f32`
4 368×	`-lowering-.f64`
2 586×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	248
1	98	244
2	292	244
3	862	244
4	2724	244
5	3634	244
6	5475	244
0	8124	225

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* v (* v 5)) -1) (* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1))))
(+ (* v (* v 5)) -1)
v
(* v 5)
5
-1
(* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1)))
(* (sqrt (+ (* v (* v -6)) 2)) (PI))
(sqrt (+ (* v (* v -6)) 2))
(+ (* v (* v -6)) 2)
(* v -6)
-6
2
(PI)
(* t (+ (* v v) -1))
t
(+ (* v v) -1)
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/ 1 (* (PI) t))
1
(* (PI) t)
(PI)
t
(sqrt 1/2)
1/2
(/ (/ (sqrt 1/2) (PI)) t)
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
1/2
(PI)
t
(/ (+ (* (* v v) -5) 1) (* (PI) (* t (sqrt 2))))
(+ (* (* v v) -5) 1)
(* v v)
v
-5
1
(* (PI) (* t (sqrt 2)))
(PI)
(* t (sqrt 2))
t
(sqrt 2)
2
(/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt 2) (+ (* v v) -1))))
(+ (* v (* v 5)) -1)
v
(* v 5)
5
-1
(* (* (PI) t) (* (sqrt 2) (+ (* v v) -1)))
(* (PI) t)
(PI)
t
(* (sqrt 2) (+ (* v v) -1))
(sqrt 2)
2
(+ (* v v) -1)

Outputs
(/ (+ (* v (* v 5)) -1) (* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1))))
(/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (PI.f64) (*.f64 t (fma.f64 v v #s(literal -1 binary64))))))
(+ (* v (* v 5)) -1)
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
v
(* v 5)
(*.f64 v #s(literal 5 binary64))
5
#s(literal 5 binary64)
-1
#s(literal -1 binary64)
(* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))
(* (sqrt (+ (* v (* v -6)) 2)) (PI))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))
(sqrt (+ (* v (* v -6)) 2))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(+ (* v (* v -6)) 2)
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(* v -6)
(*.f64 v #s(literal -6 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(PI)
(PI.f64)
(* t (+ (* v v) -1))
(*.f64 t (fma.f64 v v #s(literal -1 binary64)))
t
(+ (* v v) -1)
(fma.f64 v v #s(literal -1 binary64))
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/ 1 (* (PI) t))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
1
#s(literal 1 binary64)
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (/ (sqrt 1/2) (PI)) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))
(/ (sqrt 1/2) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(PI)
(PI.f64)
t
(/ (+ (* (* v v) -5) 1) (* (PI) (* t (sqrt 2))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (* v v) -5) 1)
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(* (PI) (* t (sqrt 2)))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(PI)
(PI.f64)
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt 2) (+ (* v v) -1))))
(/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) (.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(+ (* v (* v 5)) -1)
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
v
(* v 5)
(*.f64 v #s(literal 5 binary64))
5
#s(literal 5 binary64)
-1
#s(literal -1 binary64)
(* (* (PI) t) (* (sqrt 2) (+ (* v v) -1)))
(.f64 (PI.f64) (.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(* (PI) t)
(*.f64 (PI.f64) t)
(PI)
(PI.f64)
t
(* (sqrt 2) (+ (* v v) -1))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* v v) -1)
(fma.f64 v v #s(literal -1 binary64))

localize119.0ms (1%)

Memory

8.6MiB live, 242.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	99.4%	(.f64 (.f64 (PI.f64) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.4%	(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.3%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
✓	accuracy	98.4%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓	accuracy	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64))
✓	accuracy	100.0%	(*.f64 t (fma.f64 v v #s(literal -1 binary64)))
✓	accuracy	99.6%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))
✓	accuracy	99.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (.f64 t (fma.f64 v v #s(literal -1 binary64))))

Samples

69.0ms

256×

valid

Compiler

Compiled 229 to 40 computations (82.5% saved)

Precisions

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

ival-mult: 23.0ms (51% of total)

ival-div: 9.0ms (20% of total)

ival-add: 6.0ms (13.3% of total)

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

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

exact: 1.0ms (2.2% of total)

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

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

series21.0ms (0.2%)

Memory

-4.4MiB live, 33.7MiB allocated

Counts

21 → 288

Calls

Call 1

Inputs
#<alt (/ (+ (* v (* v 5)) -1) (* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1))))>
#<alt (+ (* v (* v 5)) -1)>
#<alt (* v 5)>
#<alt (* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1)))>
#<alt (* (/ 1 (* (PI) t)) (sqrt 1/2))>
#<alt (/ 1 (* (PI) t))>
#<alt (* (PI) t)>
#<alt (PI)>
#<alt (/ (/ (sqrt 1/2) (PI)) t)>
#<alt (/ (sqrt 1/2) (PI))>
#<alt (sqrt 1/2)>
#<alt (/ (+ (* (* v v) -5) 1) (* (PI) (* t (sqrt 2))))>
#<alt (+ (* (* v v) -5) 1)>
#<alt (* v v)>
#<alt (* (PI) (* t (sqrt 2)))>
#<alt (/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt 2) (+ (* v v) -1))))>
#<alt (* (* (PI) t) (* (sqrt 2) (+ (* v v) -1)))>
#<alt (* t (+ (* v v) -1))>
#<alt (* (sqrt (+ (* v (* v -6)) 2)) (PI))>
#<alt (* t (sqrt 2))>
#<alt (* (sqrt 2) (+ (* v v) -1))>

Outputs
#<alt (/ (sqrt 1/2) (* t (PI)))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))>
#<alt (* 5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)>
#<alt (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)>
#<alt (* -5 (/ (sqrt -1/6) (* t (* v (PI)))))>
#<alt (* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))>
#<alt (* -1 (/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
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#<alt (* (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (- (pow v 2) 1)))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))>
#<alt -1>
#<alt (- (* 5 (pow v 2)) 1)>
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#<alt (- (* 5 (pow v 2)) 1)>
#<alt (* 5 (pow v 2))>
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#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* 5 v)>
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#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
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#<alt (* t (* (pow v 3) (* (PI) (sqrt -6))))>
#<alt (* (pow v 3) (+ (* -1 (/ (* t (* (PI) (sqrt -6))) (pow v 2))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))>
#<alt (* (pow v 3) (+ (* -1 (/ (* t (PI)) (* (pow v 4) (sqrt -6)))) (+ (* -1 (/ (* t (* (PI) (sqrt -6))) (pow v 2))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))>
#<alt (* (pow v 3) (+ (* -1 (/ (* t (PI)) (* (pow v 4) (sqrt -6)))) (+ (* -1 (/ (* t (* (PI) (sqrt -6))) (pow v 2))) (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (* t (PI)) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))))))>
#<alt (* -1 (* t (* (pow v 3) (* (PI) (sqrt -6)))))>
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#<alt (* (* t (* (PI) (- (pow v 2) 1))) (sqrt (+ 2 (* -6 (pow v 2)))))>
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#<alt (* (* t (* (PI) (- (pow v 2) 1))) (sqrt (+ 2 (* -6 (pow v 2)))))>
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#<alt (* (* t (* (PI) (- (pow v 2) 1))) (sqrt (+ 2 (* -6 (pow v 2)))))>
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#<alt (/ 1 (* t (PI)))>
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#<alt (/ 1 (* t (PI)))>
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#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
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#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ 5 (* t (* (PI) (sqrt 2))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))>
#<alt (+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
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#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))>
#<alt (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1))))>
#<alt (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1))))>
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#<alt (* t (* (pow v 2) (* (PI) (sqrt 2))))>
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#<alt (* (pow v 2) (+ (* -1 (/ (* t (* (PI) (sqrt 2))) (pow v 2))) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (/ (* t (* (PI) (sqrt 2))) (pow v 2))) (* t (* (PI) (sqrt 2)))))>
#<alt (* t (* (pow v 2) (* (PI) (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -1 (/ (* t (* (PI) (sqrt 2))) (pow v 2))) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (/ (* t (* (PI) (sqrt 2))) (pow v 2))) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -1 (/ (* t (* (PI) (sqrt 2))) (pow v 2))) (* t (* (PI) (sqrt 2)))))>
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#<alt (* t (- (pow v 2) 1))>
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#<alt (* t (- (pow v 2) 1))>
#<alt (* t (- (pow v 2) 1))>
#<alt (* t (- (pow v 2) 1))>
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#<alt (* t (- (pow v 2) 1))>
#<alt (* t (- (pow v 2) 1))>
#<alt (* t (- (pow v 2) 1))>
#<alt (* -1 t)>
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#<alt (+ (* -1 t) (* t (pow v 2)))>
#<alt (* t (pow v 2))>
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#<alt (* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))>
#<alt (* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))>
#<alt (* t (pow v 2))>
#<alt (* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))>
#<alt (* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))>
#<alt (* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))>
#<alt (* (PI) (sqrt 2))>
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#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))>
#<alt (+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))>
#<alt (* v (* (PI) (sqrt -6)))>
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#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* -1 (sqrt 2))>
#<alt (+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))>
#<alt (+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))>
#<alt (+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (sqrt 2))>
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#<alt (* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (sqrt 2))>
#<alt (* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt 2) (+ (* v v) -1))))
1.0ms	t	@	0	(/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt 2) (+ (* v v) -1))))
1.0ms	t	@	0	(/ (+ (* v (* v 5)) -1) (* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1))))
1.0ms	v	@	0	(/ (+ (* (* v v) -5) 1) (* (PI) (* t (sqrt 2))))
1.0ms	v	@	inf	(* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1)))

rewrite495.0ms (4.2%)

Memory

-14.2MiB live, 386.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 636×	`-lowering-.f32`
4 636×	`-lowering-.f64`
4 538×	`/-lowering-/.f32`
4 538×	`/-lowering-/.f64`
2 292×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	176
1	205	172
2	1574	172
0	8448	158

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 175

Calls

Call 1

Inputs
(/ (+ (* v (* v 5)) -1) (* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1))))
(+ (* v (* v 5)) -1)
(* v 5)
(* (* (sqrt (+ (* v (* v -6)) 2)) (PI)) (* t (+ (* v v) -1)))
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/ 1 (* (PI) t))
(* (PI) t)
(PI)
(/ (/ (sqrt 1/2) (PI)) t)
(/ (sqrt 1/2) (PI))
(sqrt 1/2)
(/ (+ (* (* v v) -5) 1) (* (PI) (* t (sqrt 2))))
(+ (* (* v v) -5) 1)
(* v v)
(* (PI) (* t (sqrt 2)))
(/ (+ (* v (* v 5)) -1) (* (* (PI) t) (* (sqrt 2) (+ (* v v) -1))))
(* (* (PI) t) (* (sqrt 2) (+ (* v v) -1)))
(* t (+ (* v v) -1))
(* (sqrt (+ (* v (* v -6)) 2)) (PI))
(* t (sqrt 2))
(* (sqrt 2) (+ (* v v) -1))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (PI.f64) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 25 binary64)) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (PI.f64) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))))
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(/.f64 (neg.f64 (.f64 t (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (.f64 v v)))))
(/.f64 (neg.f64 (.f64 t (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)) t)) (neg.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (.f64 v v)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)) t)) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 t) (.f64 t t) (.f64 (.f64 t (.f64 v v)) (.f64 (.f64 t (.f64 v v)) (.f64 t (.f64 v v))))) (fma.f64 t t (-.f64 (.f64 (.f64 t (.f64 v v)) (.f64 t (.f64 v v))) (.f64 (neg.f64 t) (.f64 t (*.f64 v v))))))
(/.f64 (-.f64 (.f64 t t) (.f64 (.f64 t (.f64 v v)) (.f64 t (.f64 v v)))) (-.f64 (neg.f64 t) (.f64 t (.f64 v v))))
(*.f64 t (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) t)
(.f64 (+.f64 v #s(literal 1 binary64)) (.f64 (+.f64 v #s(literal -1 binary64)) t))
(.f64 (fma.f64 (.f64 t (.f64 v v)) (.f64 (.f64 t (.f64 v v)) (.f64 t (.f64 v v))) (.f64 (neg.f64 t) (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t (.f64 v v)) (.f64 t (.f64 v v)) (-.f64 (.f64 t t) (.f64 (.f64 t (.f64 v v)) (neg.f64 t))))))
(.f64 (-.f64 (.f64 (.f64 t (.f64 v v)) (.f64 t (.f64 v v))) (.f64 t t)) (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 v v) t)))
(.f64 (.f64 t (+.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal -1 binary64)))
(.f64 (.f64 t (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (*.f64 v v)))))
(.f64 (.f64 t (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)) t) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (*.f64 v v)))))
(.f64 (.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64)) t) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (.f64 (log.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))))
(sqrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64))
(.f64 (PI.f64) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 (PI.f64) (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)) (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (.f64 v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (.f64 v v))) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64))) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (.f64 v v))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (.f64 v v))))
(/.f64 (.f64 (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 (fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (.f64 v v)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (.f64 v v)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v v) (*.f64 v v) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 v v #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (+.f64 v #s(literal 1 binary64)) (.f64 (+.f64 v #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal -1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (*.f64 v v)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal 1 binary64)) (neg.f64 (*.f64 v v)))))
(.f64 (.f64 (fma.f64 (.f64 v v) (.f64 v v) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))))

simplify555.0ms (4.8%)

Memory

27.0MiB live, 851.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 280×	`accelerator-lowering-fma.f32`
16 280×	`accelerator-lowering-fma.f64`
7 124×	`-lowering-.f32`
7 124×	`-lowering-.f64`
4 322×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	4416
1	1044	4215
2	4277	4199
0	8745	3973

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(/ (sqrt 1/2) (* t (PI)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* -2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))) (* 1/2 (/ (- 27/2 (* 3/4 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2))))))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
(* 5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v)
(/ (- (+ (* -5/2 (/ (+ 1/162 (* 1/36 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* -2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 6) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 6) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI)))))))))) (+ (/ 1/9 (* t (* (pow v 6) (* (PI) (sqrt -1/6))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6))))))))) v)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(* -1 (/ (- (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))) (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6)))))) v))
(* -1 (/ (- (+ (* -5/2 (/ (+ 1/54 (* 1/1296 (/ 1 (pow (sqrt -1/6) 2)))) (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 2) (PI))))) (+ (* 4 (/ (sqrt -1/6) (* t (* (pow v 4) (PI))))) (* 5 (/ (sqrt -1/6) (* t (PI))))))) (+ (/ 5/36 (* t (* (pow v 2) (* (PI) (sqrt -1/6))))) (* 1/9 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt -1/6)))))))) v))
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-1
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(+ (* -1 (* t (* (PI) (sqrt 2)))) (* (pow v 2) (+ (* 3 (/ (* t (PI)) (sqrt 2))) (+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -3 (/ (* t (PI)) (sqrt 2))) (+ (* 9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* (pow v 2) (+ (* -9/2 (/ (* t (PI)) (pow (sqrt 2) 3))) (* 27/2 (/ (* t (PI)) (pow (sqrt 2) 5))))))))))))
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(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
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(/ 1 (* t (PI)))
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(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(/ 1 (* t (PI)))
(* t (PI))
(* t (PI))
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(* t (PI))
(* t (PI))
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(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
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(/ (sqrt 1/2) (* t (PI)))
(/ (sqrt 1/2) (* t (PI)))
(/ 1 (* t (* (PI) (sqrt 2))))
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(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
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(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* -5 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 5 (/ 1 (* t (* (PI) (sqrt 2)))))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (sqrt 2))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(pow v 2)
(pow v 2)
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(pow v 2)
(pow v 2)
(pow v 2)
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(pow v 2)
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(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(* t (* (PI) (sqrt 2)))
(/ 1 (* t (* (PI) (sqrt 2))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2))))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(/ 5 (* t (* (PI) (sqrt 2))))
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(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
(/ 5 (* t (* (PI) (sqrt 2))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (/ 4 (* t (* (pow v 4) (* (PI) (sqrt 2)))))))
(+ (* 5 (/ 1 (* t (* (PI) (sqrt 2))))) (+ (* 4 (/ 1 (* t (* (pow v 4) (* (PI) (sqrt 2)))))) (+ (* 4 (/ 1 (* t (* (pow v 6) (* (PI) (sqrt 2)))))) (/ 4 (* t (* (pow v 2) (* (PI) (sqrt 2))))))))
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(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
(/ (- (* 5 (pow v 2)) 1) (* t (* (PI) (* (sqrt 2) (- (pow v 2) 1)))))
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(+ (* -1 (* t (* (PI) (sqrt 2)))) (* t (* (pow v 2) (* (PI) (sqrt 2)))))
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(* t (* (pow v 2) (* (PI) (sqrt 2))))
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(* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))
(* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))
(* t (pow v 2))
(* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))
(* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))
(* (pow v 2) (+ t (* -1 (/ t (pow v 2)))))
(* (PI) (sqrt 2))
(+ (* -3 (/ (* (pow v 2) (PI)) (sqrt 2))) (* (PI) (sqrt 2)))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -9/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 3))) (* -3 (/ (PI) (sqrt 2))))))
(+ (* (PI) (sqrt 2)) (* (pow v 2) (+ (* -3 (/ (PI) (sqrt 2))) (* (pow v 2) (+ (* -27/2 (/ (* (pow v 2) (PI)) (pow (sqrt 2) 5))) (* -9/2 (/ (PI) (pow (sqrt 2) 3))))))))
(* v (* (PI) (sqrt -6)))
(* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (* (PI) (sqrt -6))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* -1 (sqrt 2))
(+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))
(+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))
(+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))
(* (pow v 2) (sqrt 2))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (sqrt 2))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))

Outputs
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))))) (/ (sqrt 1/2) (* t (PI))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal 3/4 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64))))
(+ (* (pow v 2) (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (+ (* 3/4 (/ 1 (* t (* (PI) (sqrt 1/2))))) (* (pow v 2) (- (+ (* -4 (/ (sqrt 1/2) (* t (PI)))) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (* t (* (PI) (sqrt 1/2)))))) (* 3 (/ 1 (* t (* (PI) (sqrt 1/2)))))))))) (/ (sqrt 1/2) (* t (PI))))
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(.f64 v (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(.f64 v (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 v (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))))
(* -1 (* v (* (PI) (sqrt -6))))
(.f64 (.f64 (PI.f64) v) (neg.f64 (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))
(.f64 (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6)))))))
(.f64 (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (neg.f64 v))
(* -1 (* v (+ (* -1/2 (/ (PI) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* 1/2 (/ (PI) (* (pow v 6) (pow (sqrt -6) 5)))) (+ (* (PI) (sqrt -6)) (/ (PI) (* (pow v 2) (sqrt -6))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))) (neg.f64 v))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* -1 (sqrt 2))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (sqrt 2)) (* (pow v 2) (sqrt 2)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow v 2) (sqrt 2))
(.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(.f64 v (.f64 v (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(.f64 v (.f64 v (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(.f64 v (.f64 v (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
(* (pow v 2) (sqrt 2))
(.f64 v (.f64 v (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(.f64 v (.f64 v (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(.f64 v (.f64 v (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))
(* (pow v 2) (+ (sqrt 2) (* -1 (/ (sqrt 2) (pow v 2)))))
(.f64 v (.f64 v (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)))))

eval479.0ms (4.1%)

Memory: -163.8MiB live, 524.2MiB allocated
Compiler: Compiled 47 944 to 3 964 computations (91.7% saved)

prune394.0ms (3.4%)

Memory

-10.3MiB live, 552.6MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 793	6	1 799
Fresh	5	1	6
Picked	1	4	5
Done	0	4	4
Total	1 799	15	1 814

Accuracy

100.0%

Counts

1 814 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))
	98.4%	(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
✓	99.6%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))
	98.5%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (neg.f64 t)))
✓	98.4%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
	99.5%	(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
	98.5%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	97.8%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
	97.8%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
	98.7%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) t)
✓	97.8%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	97.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))

Compiler

Compiled 820 to 299 computations (63.5% saved)

regimes52.0ms (0.5%)

Memory

0.1MiB live, 115.4MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (neg.f64 t)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (.f64 (PI.f64) t)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (PI.f64)) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (neg.f64 (.f64 (PI.f64) t))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) t)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
(.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))

Outputs

(/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))

Calls

5 calls:

12.0ms	t
11.0ms	v
10.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
10.0ms	(*.f64 (PI.f64) t)
9.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.6%	1	`v`
99.6%	1	`t`
99.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.6%	1	`(*.f64 v v)`
99.6%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes55.0ms (0.5%)

Memory

19.3MiB live, 60.1MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (neg.f64 t)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))

Outputs

(/.f64 (fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 t (PI.f64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))

Calls

5 calls:

27.0ms	t
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
7.0ms	(*.f64 (PI.f64) t)
7.0ms	v
6.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.5%	1	`v`
99.5%	1	`t`
99.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
99.5%	1	`(*.f64 v v)`
99.5%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes58.0ms (0.5%)

Memory

17.2MiB live, 54.7MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (PI.f64)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (neg.f64 t)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (.f64 v v) #s(literal -1 binary64)) (.f64 (PI.f64) t)) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64)))))

Outputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) t)

Calls

5 calls:

29.0ms	(*.f64 v v)
7.0ms	t
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
7.0ms	(*.f64 (PI.f64) t)
7.0ms	v

Results

Accuracy	Segments	Branch
98.7%	1	`v`
98.7%	1	`t`
98.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
98.7%	1	`(*.f64 v v)`
98.7%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes35.0ms (0.3%)

Memory

-11.8MiB live, 26.2MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)

Outputs
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))

Calls

5 calls:

3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
3.0ms	(*.f64 (PI.f64) t)
3.0ms	t
3.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.3%	1	`v`
98.3%	1	`t`
98.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
98.3%	1	`(*.f64 v v)`
98.3%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes24.0ms (0.2%)

Memory

-19.0MiB live, 19.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))

Outputs
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))

Calls

5 calls:

15.0ms	t
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms	(*.f64 (PI.f64) t)
2.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.3%	1	`v`
98.3%	1	`t`
98.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
98.3%	1	`(*.f64 v v)`
98.3%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes9.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Accuracy

Total -0.2b remaining (-11.3%)

Threshold costs -0.2b (-11.3%)

Counts

3 → 1

Calls

Call 1

Inputs

(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))

(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)))

(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))

Outputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))

Calls

5 calls:

2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
2.0ms	(*.f64 (PI.f64) t)
2.0ms	t
2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
97.8%	1	`t`
97.8%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))`
97.8%	1	`(*.f64 (PI.f64) t)`
97.8%	1	`v`
97.8%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify15.0ms (0.1%)

Memory

-32.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	76
1	54	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) t)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))

Outputs
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) (*.f64 t (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 t (PI.f64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (fma.f64 v (.f64 v #s(literal 5 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (PI.f64) t) (.f64 (fma.f64 v v #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) t)
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (PI.f64) t))

soundness967.0ms (8.3%)

Memory

45.7MiB live, 906.5MiB allocated

Rules

23 106×	`accelerator-lowering-fma.f32`
23 106×	`accelerator-lowering-fma.f64`
16 280×	`accelerator-lowering-fma.f32`
16 280×	`accelerator-lowering-fma.f64`
13 166×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	176
1	205	172
2	1574	172
0	8448	158
0	195	2113
1	576	2013
2	2413	1898
0	8035	1805
0	36	174
1	200	172
2	1520	170
0	8814	158
0	336	4416
1	1044	4215
2	4277	4199
0	8745	3973
0	19	73
1	115	73
2	910	67
0	8745	61
0	370	6416
1	1133	5824
2	4333	5748
0	8103	5481
0	36	211
1	208	211
2	1859	210
0	8530	196

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

Compiler

Compiled 331 to 215 computations (35% saved)

preprocess105.0ms (0.9%)

Memory

-9.1MiB live, 109.1MiB allocated

Remove

(negabs t)

(abs v)

Compiler

Compiled 516 to 318 computations (38.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze46.0ms (0.4%)

sample1.3s (10.9%)

preprocess411.0ms (3.5%)

explain274.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify293.0ms (2.5%)

localize52.0ms (0.4%)

series23.0ms (0.2%)

rewrite388.0ms (3.3%)

simplify559.0ms (4.8%)

eval118.0ms (1%)

prune122.0ms (1.1%)

simplify217.0ms (1.9%)

localize147.0ms (1.3%)

series35.0ms (0.3%)

rewrite509.0ms (4.4%)

simplify472.0ms (4.1%)

eval454.0ms (3.9%)

prune221.0ms (1.9%)

simplify427.0ms (3.7%)

localize136.0ms (1.2%)

series21.0ms (0.2%)

rewrite571.0ms (4.9%)

simplify552.0ms (4.7%)

eval275.0ms (2.4%)

prune264.0ms (2.3%)

simplify406.0ms (3.5%)

localize119.0ms (1%)

series21.0ms (0.2%)

rewrite495.0ms (4.2%)

simplify555.0ms (4.8%)

eval479.0ms (4.1%)

prune394.0ms (3.4%)

regimes52.0ms (0.5%)

regimes55.0ms (0.5%)

regimes58.0ms (0.5%)

regimes35.0ms (0.3%)

regimes24.0ms (0.2%)

regimes9.0ms (0.1%)

simplify15.0ms (0.1%)

soundness967.0ms (8.3%)

preprocess105.0ms (0.9%)

end0.0ms (0%)

Profiling