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

analyze75.0ms (0.6%)

Memory

-60.1MiB live, 89.5MiB 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)

sample1.4s (10.5%)

Memory

77.1MiB live, 2 387.3MiB allocated

Samples

1.1s	8 256×	0	valid
5.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 823.0ms

ival-mult: 443.0ms (53.8% of total)

ival-sub: 165.0ms (20% of total)

ival-sqrt: 95.0ms (11.5% of total)

ival-div: 57.0ms (6.9% of total)

ival-pi: 41.0ms (5% of total)

exact: 13.0ms (1.6% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

preprocess365.0ms (2.7%)

Memory

-36.4MiB live, 559.6MiB 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 (fma.f64 v v #s(literal 0 binary64)) #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) (fma.f64 v v #s(literal 0 binary64))))))

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)

explain251.0ms (1.9%)

Memory

-10.1MiB live, 467.9MiB 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

59.0ms

512×

valid

Compiler

Compiled 310 to 80 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 20.0ms (54.1% of total)

ival-sub: 7.0ms (18.9% of total)

ival-sqrt: 4.0ms (10.8% of total)

ival-div: 3.0ms (8.1% of total)

ival-pi: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.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

▶

99.4%

(/.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)

simplify288.0ms (2.1%)

Memory

23.5MiB live, 419.0MiB 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	384	(.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 (fma.f64 v v #s(literal 0 binary64)) #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) (fma.f64 v v #s(literal 0 binary64))))))
(- 1 (* 5 (* v v)))
(fma.f64 (fma.f64 v v #s(literal 0 binary64)) #s(literal -5 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal 0 binary64)))
5
#s(literal 5 binary64)
(* v v)
(fma.f64 v v #s(literal 0 binary64))
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) (fma.f64 v v #s(literal 0 binary64)))))
(* (* (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 (fma.f64 v #s(literal -3 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* 3 (* v v))
(*.f64 (fma.f64 v v #s(literal 0 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))

localize66.0ms (0.5%)

Memory

-14.1MiB live, 101.1MiB 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 (-.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	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.3%	(.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

33.0ms

256×

valid

Compiler

Compiled 125 to 21 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 13.0ms (58.9% of total)

ival-sub: 3.0ms (13.6% of total)

ival-div: 2.0ms (9.1% of total)

ival-sqrt: 2.0ms (9.1% of total)

ival-pi: 1.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

-1.3MiB live, 36.7MiB 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
4.0ms	t	@	0	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
3.0ms	t	@	inf	(/ (- 1 (* 5 (* v v))) (* (* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
3.0ms	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	@	0	(* (* (PI) t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite439.0ms (3.3%)

Memory

24.5MiB live, 792.7MiB 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) (-.f64 #s(literal 0 binary64) (*.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) (-.f64 #s(literal 0 binary64) (.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)) (-.f64 #s(literal 0 binary64) 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))))) (-.f64 #s(literal 0 binary64) (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))) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 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 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)))) (-.f64 #s(literal 0 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 v v) (.f64 (.f64 v v) #s(literal 25 binary64)))) (fma.f64 v (*.f64 v #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)))))
(.f64 (PI.f64) (.f64 t (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(.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)))
(.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
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(.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) (.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)

simplify821.0ms (6.1%)

Memory

28.4MiB live, 1 301.4MiB 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)))) (-.f64 #s(literal 0 binary64) 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))))))) (-.f64 #s(literal 0 binary64) 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))))))) (-.f64 #s(literal 0 binary64) 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 (fma.f64 (.f64 v v) #s(literal -3/2 binary64) #s(literal 1 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)))) (* -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 (fma.f64 (.f64 v v) #s(literal -3/2 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(* 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 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #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 t (fma.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 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)))))) (-.f64 #s(literal 0 binary64) 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))) (-.f64 #s(literal 0 binary64) 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)))))))))
(-.f64 #s(literal 0 binary64) (.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 (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #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 t (fma.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) (sqrt.f64 #s(literal -3 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))

eval86.0ms (0.6%)

Memory: -30.4MiB live, 257.4MiB allocated
Compiler: Compiled 26 628 to 2 060 computations (92.3% saved)

prune140.0ms (1%)

Memory

22.4MiB live, 182.0MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	591	12	603
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	592	12	604

Accuracy

100.0%

Counts

604 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (.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))))
	99.4%	(/.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))))))
▶	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.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 (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))))
▶	99.5%	(/.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))))
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
▶	98.1%	(/.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))))
	98.1%	(/.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))))
	99.5%	(/.f64 (.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	98.1%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	55.2%	(.f64 (fma.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 (.f64 (neg.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 v (.f64 v #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.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 (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)) 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 704 to 404 computations (42.6% saved)

simplify241.0ms (1.8%)

Memory

-6.6MiB live, 506.8MiB 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 #s(literal 1 binary64) (.f64 v v)))
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #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 (PI.f64) t) (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	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 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

6 424×	`-lowering-.f32`
6 424×	`-lowering-.f64`
3 420×	`/-lowering-/.f32`
3 420×	`/-lowering-/.f64`
2 784×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	396
1	98	396
2	342	396
3	1746	396
4	5916	396
0	8263	372

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

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

localize193.0ms (1.4%)

Memory

11.7MiB live, 243.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	99.7%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.3%	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	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 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.3%	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓	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	99.3%	(.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.5%	(.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 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 5 binary64) (.f64 v v))
✓	accuracy	99.7%	(.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

65.0ms

256×

valid

Compiler

Compiled 380 to 37 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 22.0ms (55.3% of total)

ival-div: 8.0ms (20.1% of total)

ival-sqrt: 4.0ms (10% of total)

ival-add: 2.0ms (5% of total)

ival-sub: 2.0ms (5% of total)

ival-pi: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series31.0ms (0.2%)

Memory

1.9MiB live, 43.3MiB allocated

Counts

19 → 288

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

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)))>
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#<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)) (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 (* 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))))))))>

Calls

72 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	v	@	0	(/ (- 1 (* 5 (* v v))) (* (* (* (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	t	@	0	(/ (/ (+ (* v (* v -5)) 1) (- 1 (* v v))) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))

rewrite982.0ms (7.3%)

Memory

-238.3MiB live, 1 373.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 028×	`accelerator-lowering-fma.f32`
7 028×	`accelerator-lowering-fma.f64`
4 340×	`-lowering-.f32`
4 340×	`-lowering-.f64`
4 246×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	196
1	201	196
2	1678	195
0	8742	182

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 2 490

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

Outputs
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
(+.f64 #s(literal 1 binary64) (.f64 v (.f64 v #s(literal -5 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 5 binary64) v)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) v) (.f64 v #s(literal -5 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) #s(literal -5 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 v #s(literal -5 binary64))) v))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 5 binary64) v)) (-.f64 #s(literal 0 binary64) v)))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 5 binary64) v))) v))
(+.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) #s(literal 1 binary64))
(+.f64 (.f64 v (.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))
(+.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))) (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) (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 (.f64 v (.f64 v v)) (.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 v) (.f64 (.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 v (.f64 v #s(literal -5 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(-.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) (fma.f64 v (.f64 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 (.f64 v (.f64 v v)) (.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 v) (.f64 (.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 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 #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 (.f64 v (.f64 v v)) (.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 v) (.f64 (.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) (-.f64 #s(literal 0 binary64) (*.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 (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 v) (.f64 (.f64 v v) #s(literal 25 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.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 (*.f64 v #s(literal -5 binary64)) 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 #s(literal -1 binary64) (.f64 #s(literal 5 binary64) (.f64 v 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 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (.f64 v v) (.f64 (.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 v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 #s(literal 5 binary64) (.f64 v v) #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 v) (.f64 (.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 0 binary64) (*.f64 v v)) #s(literal 5 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.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) (-.f64 #s(literal 0 binary64) v) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.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 #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 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 v v) (.f64 (.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 v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 v v) (.f64 (.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 v) (.f64 (.f64 v v) #s(literal 25 binary64)))) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 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 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.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 v) (.f64 (.f64 v v) #s(literal 25 binary64))) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (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))))
(/.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 (.f64 v (.f64 v v)) (.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 v) (.f64 (.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 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 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 #s(literal 0 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 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 #s(literal 0 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)))))
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(*.f64 v #s(literal -5 binary64))
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(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 36 binary64)) #s(literal -4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 36 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 36 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 36 binary64)) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 36 binary64)) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 36 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 36 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal -2 binary64)))))
(.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(pow.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (PI.f64) t))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
(.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
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(.f64 #s(literal 1 binary64) (.f64 (PI.f64) t))
(*.f64 (PI.f64) t)
(*.f64 t (PI.f64))
(.f64 (.f64 (PI.f64) t) #s(literal 1 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) t))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) t))
(.f64 (.f64 t (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 t (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) t))))
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(/.f64 #s(literal 1 binary64) (/.f64 #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 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t)) #s(literal 1 binary64))
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(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) t))
(.f64 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)) t)
(.f64 t (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (PI.f64)))
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(.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 (PI.f64) t)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) t))))
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(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) t)))
(.f64 (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) t) (PI.f64))

simplify748.0ms (5.6%)

Memory

-11.0MiB live, 1 298.9MiB allocated

Algorithm

1×	egg-herbie

Rules

22 676×	`accelerator-lowering-fma.f32`
22 676×	`accelerator-lowering-fma.f64`
5 296×	`+-lowering-+.f64`
5 296×	`+-lowering-+.f32`
5 180×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	5956
1	904	5491
2	3470	5326
0	8107	5068

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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)
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(+ (* -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)))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(* 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))
(* (* 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)))))
(* 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))))))))

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 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) (/.f64 (.f64 (.f64 v v) #s(literal 3/4 binary64)) (.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 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) (.f64 (.f64 v v) (fma.f64 v (.f64 v (+.f64 (/.f64 #s(literal 27/16 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 3/4 binary64) (.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 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) (.f64 v (.f64 v (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 #s(literal -27/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64)))) (+.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))))))))
(* 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 v (.f64 v (PI.f64)))) (/.f64 #s(literal 5 binary64) (PI.f64))) (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v (.f64 v (PI.f64))) (.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 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 v (.f64 v (PI.f64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 5 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))))) (/.f64 #s(literal -5/144 binary64) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (.f64 v v) (.f64 v v))))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v (.f64 v (PI.f64))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal -1/9 binary64) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.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 (fma.f64 (/.f64 #s(literal 1/72 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 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 -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 v (.f64 v (PI.f64)))) (/.f64 #s(literal 5 binary64) (PI.f64))) (/.f64 #s(literal -25/2592 binary64) (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))))) (+.f64 (/.f64 #s(literal -1/9 binary64) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (.f64 v v) (.f64 v v))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v (.f64 v (PI.f64))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))))) v)
(* -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))))
(* -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))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 v (.f64 v (PI.f64)))) (/.f64 #s(literal 5 binary64) (PI.f64))) (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v (.f64 v (PI.f64))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) (.f64 t (.f64 v (.f64 v (PI.f64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 5 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))))) (/.f64 #s(literal -5/144 binary64) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (.f64 v v) (.f64 v v))))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v (.f64 v (PI.f64))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal -1/9 binary64) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (.f64 v v) (*.f64 v v))))))) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/72 binary64) (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 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 -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 v (.f64 v (PI.f64)))) (/.f64 #s(literal 5 binary64) (PI.f64))) (/.f64 #s(literal -25/2592 binary64) (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))))) (+.f64 (/.f64 #s(literal -1/9 binary64) (.f64 t (.f64 (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (.f64 v v) (.f64 v v))))) (+.f64 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 v (.f64 v (PI.f64))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal -1/9 binary64) (.f64 (.f64 (PI.f64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t)))))) (-.f64 #s(literal 0 binary64) v))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(/.f64 (.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) (.f64 t (.f64 (PI.f64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(* (/ (- 1 (* 5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
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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)))))))
(-.f64 #s(literal 0 binary64) (.f64 v (.f64 t (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) #s(literal -1/2 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 (+ (* -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 t (fma.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 t (PI.f64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))))) (-.f64 #s(literal 0 binary64) 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))))
(* (* 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))))
(* (* 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))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -27/2 binary64) (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.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))))))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 v (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (/.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)))))))
(* -1 (* v (sqrt -6)))
(-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(-.f64 #s(literal 0 binary64) (fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (/.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))))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (sqrt.f64 #s(literal -6 binary64)))) (/.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)))))) (-.f64 #s(literal 0 binary64) v))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(* t (* (PI) (sqrt 2)))
(.f64 (.f64 t (PI.f64)) (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))
(* (* 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))))
(* (* 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)))
(.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(.f64 t (fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (/.f64 (.f64 v (.f64 v (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(fma.f64 (.f64 v v) (.f64 t (fma.f64 (/.f64 (.f64 v (.f64 v (PI.f64))) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9/2 binary64) (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)))) (.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 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))))))))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (.f64 t (fma.f64 (/.f64 (.f64 v (.f64 v (PI.f64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal -27/2 binary64) (.f64 (/.f64 (PI.f64) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9/2 binary64))))) (/.f64 (.f64 (.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (*.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))))
(* t (* v (* (PI) (sqrt -6))))
(.f64 (.f64 t (PI.f64)) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(.f64 v (.f64 (PI.f64) (fma.f64 t (sqrt.f64 #s(literal -6 binary64)) (/.f64 t (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(.f64 v (.f64 t (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) #s(literal -1/2 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 (/ (* 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 v (fma.f64 t (fma.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 t (PI.f64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(.f64 (.f64 t (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(.f64 (.f64 (PI.f64) (fma.f64 t (sqrt.f64 #s(literal -6 binary64)) (/.f64 t (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(-.f64 #s(literal 0 binary64) (.f64 v (.f64 t (fma.f64 (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 binary64))))) #s(literal -1/2 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 (+ (* -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 t (fma.f64 (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) #s(literal 1/2 binary64) (fma.f64 (PI.f64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 (PI.f64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 t (PI.f64)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))

eval1.0s (7.7%)

Memory: -3.8MiB live, 918.9MiB allocated
Compiler: Compiled 140 270 to 4 365 computations (96.9% saved)

prune633.0ms (4.7%)

Memory

17.7MiB live, 660.0MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	3 546	9	3 555
Fresh	6	1	7
Picked	3	2	5
Done	0	0	0
Total	3 555	12	3 567

Accuracy

100.0%

Counts

3 567 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
	99.4%	(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
▶	98.3%	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
▶	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))))))
✓	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
	98.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
▶	98.1%	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
	98.2%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
▶	97.5%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
▶	98.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
	98.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓	98.1%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))

Compiler

Compiled 346 to 260 computations (24.9% saved)

simplify337.0ms (2.5%)

Memory

9.8MiB live, 322.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	320	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
✓	cost-diff	-64	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
✓	cost-diff	-64	(*.f64 t (PI.f64))
✓	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)) (*.f64 t (PI.f64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(/.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))))))

Rules

3 648×	`accelerator-lowering-fma.f32`
3 648×	`accelerator-lowering-fma.f64`
2 576×	`-lowering-.f32`
2 576×	`-lowering-.f64`
2 078×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
1	81	236
2	156	236
3	336	236
4	900	236
5	2000	236
6	2791	236
7	5453	236
8	7701	236
0	8161	222

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* v (* v -5)) 1) (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
(+ (* v (* v -5)) 1)
v
(* v -5)
-5
1
(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(PI)
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
(* t (- 1 (* v v)))
t
(- 1 (* v v))
(* v v)
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
2
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
1/2
(* t (PI))
t
(PI)
(/ 1 (* (* (sqrt 2) (PI)) t))
1
(* (* (sqrt 2) (PI)) t)
(* (sqrt 2) (PI))
(sqrt 2)
2
(PI)
t
(/ (/ 1 (sqrt 2)) (* (PI) t))
(/ 1 (sqrt 2))
1
(sqrt 2)
2
(* (PI) t)
(PI)
t
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(+ (* v (* v -4)) 1)
v
(* v -4)
-4
1
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(* (PI) t)
(PI)
t
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
(* v v)
2

Outputs
(/ (+ (* v (* v -5)) 1) (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
(/.f64 (fma.f64 (fma.f64 v v #s(literal 0 binary64)) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (fma.f64 t (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* v (* v -5)) 1)
(fma.f64 #s(literal -5 binary64) (fma.f64 v v #s(literal 0 binary64)) #s(literal 1 binary64))
v
(* v -5)
(fma.f64 v #s(literal -5 binary64) #s(literal 0 binary64))
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(fma.f64 (sqrt.f64 (fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64))) (fma.f64 (PI.f64) t #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(PI)
(PI.f64)
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(* t (- 1 (* v v)))
(-.f64 #s(literal 0 binary64) (fma.f64 t (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
t
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))
(* v v)
(fma.f64 v v #s(literal 0 binary64))
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(/ (sqrt 1/2) (* t (PI)))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (PI.f64) t #s(literal 0 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* t (PI))
(fma.f64 (PI.f64) t #s(literal 0 binary64))
t
(PI)
(PI.f64)
(/ 1 (* (* (sqrt 2) (PI)) t))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (PI.f64) t #s(literal 0 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* (* (sqrt 2) (PI)) t)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (PI.f64) t #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt 2) (PI))
(fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
t
(/ (/ 1 (sqrt 2)) (* (PI) t))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (PI.f64) t #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (sqrt 2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (PI) t)
(fma.f64 (PI.f64) t #s(literal 0 binary64))
(PI)
(PI.f64)
t
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(/.f64 (fma.f64 v (fma.f64 v #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) t #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* v (* v -4)) 1)
(fma.f64 v (fma.f64 v #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
v
(* v -4)
(fma.f64 v #s(literal -4 binary64) #s(literal 0 binary64))
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(fma.f64 (sqrt.f64 (fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) t #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) t)
(fma.f64 (PI.f64) t #s(literal 0 binary64))
(PI)
(PI.f64)
t
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 v (fma.f64 v #s(literal -6 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
(* v v)
(fma.f64 v v #s(literal 0 binary64))
2
#s(literal 2 binary64)

localize209.0ms (1.6%)

Memory

-4.0MiB live, 197.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.3%	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 t (PI.f64))
✓	accuracy	99.3%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.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))))))
✓	accuracy	99.5%	(.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)))))
✓	accuracy	99.3%	(.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))))

Samples

144.0ms

256×

valid

Compiler

Compiled 225 to 38 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 42.0ms (52% of total)

ival-div: 28.0ms (34.6% of total)

ival-sqrt: 5.0ms (6.2% of total)

ival-add: 3.0ms (3.7% of total)

ival-pi: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series67.0ms (0.5%)

Memory

-27.2MiB live, 22.0MiB allocated

Counts

19 → 240

Calls

Call 1

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

Calls

60 calls:

Time	Variable		Point	Expression
40.0ms	t	@	inf	(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
6.0ms	t	@	0	(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
4.0ms	t	@	-inf	(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
1.0ms	v	@	0	(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
1.0ms	v	@	inf	(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))

rewrite633.0ms (4.7%)

Memory

27.4MiB live, 532.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 108×	`-lowering-.f32`
5 108×	`-lowering-.f64`
4 574×	`/-lowering-/.f32`
4 574×	`/-lowering-/.f64`
3 494×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	162
1	191	159
2	1308	159
0	8450	149

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 011

Calls

Call 1

Inputs
(/ (+ (* v (* v -5)) 1) (* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))))
(+ (* v (* v -5)) 1)
(PI)
(- 1 (* v v))
(/ (sqrt 1/2) (* t (PI)))
(sqrt 1/2)
(* t (PI))
(/ 1 (* (* (sqrt 2) (PI)) t))
(sqrt 2)
(* (* (sqrt 2) (PI)) t)
(/ (/ 1 (sqrt 2)) (* (PI) t))
(/ 1 (sqrt 2))
(/ (+ (* v (* v -4)) 1) (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))))
(+ (* v (* v -4)) 1)
(sqrt (+ (* -6 (* v v)) 2))
(* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2)))
(* (PI) (* (* t (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))))
(* (PI) t)
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))

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

simplify597.0ms (4.4%)

Memory

-17.9MiB live, 1 032.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 770×	`accelerator-lowering-fma.f32`
15 770×	`accelerator-lowering-fma.f64`
6 676×	`-lowering-.f32`
6 676×	`-lowering-.f64`
3 040×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	4828
1	1339	4466
2	5712	4340
0	8231	4116

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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))))
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(* (* 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)))))
(* 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))))))))

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 v (.f64 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))))
(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 (/.f64 #s(literal 27/16 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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) (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 -27/4 binary64) (.f64 t (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64))))) (+.f64 (/.f64 #s(literal 135/32 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)))))) (+.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 (/.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))))
(* 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 (PI.f64) (.f64 v v)) (.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 (PI.f64) (.f64 (.f64 v v) (.f64 v v))) (.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 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 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))) (*.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 -5/144 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.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 (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 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))) (.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)
(* -5 (/ (sqrt -1/6) (* t (* v (PI)))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1/6 binary64)) #s(literal -5 binary64)) (.f64 t (*.f64 (PI.f64) v)))
(* -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))
(/.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 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))))) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (/.f64 #s(literal -5/144 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))) (.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 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 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))) (*.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))))))) (-.f64 #s(literal 0 binary64) 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))
(/.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 -5/144 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.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 (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 (/.f64 #s(literal -5/36 binary64) (.f64 (.f64 (PI.f64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -1/6 binary64)) t))) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 v v) (.f64 v v))) (.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))))))))) (-.f64 #s(literal 0 binary64) v))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(* (/ (+ 1 (* -5 (pow v 2))) (* t (* (PI) (- 1 (pow v 2))))) (sqrt (/ 1 (+ 2 (* -6 (pow v 2))))))
(.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v 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 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(fma.f64 (*.f64 v 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 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
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(.f64 (.f64 v (.f64 v v)) (fma.f64 (-.f64 #s(literal 0 binary64) 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)) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))))
(* (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)))))))
(.f64 v (.f64 (.f64 v v) (-.f64 (fma.f64 t (fma.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))) (.f64 #s(literal -1/12 binary64) (/.f64 (.f64 t (PI.f64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))) (.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))))))))))
(* (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)))))))))
(.f64 v (.f64 (.f64 v v) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 t (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 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) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))) (.f64 #s(literal -1/12 binary64) (/.f64 (.f64 t (PI.f64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))) (.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))))))))))
(* t (* (pow v 3) (* (PI) (sqrt -6))))
(.f64 (.f64 t (.f64 (PI.f64) (.f64 v (*.f64 v v)))) (sqrt.f64 #s(literal -6 binary64)))
(* -1 (* (pow v 3) (+ (* -1 (* t (* (PI) (sqrt -6)))) (+ (* -1 (/ (* t (PI)) (* (pow v 2) (sqrt -6)))) (/ (* t (* (PI) (sqrt -6))) (pow v 2))))))
(.f64 (fma.f64 (-.f64 #s(literal 0 binary64) 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)) (sqrt.f64 #s(literal -6 binary64))) (.f64 v v))) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))))
(* -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))))))))
(.f64 (-.f64 (fma.f64 t (fma.f64 (PI.f64) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))) (.f64 #s(literal -1/12 binary64) (/.f64 (.f64 t (PI.f64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))))) (.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 #s(literal 0 binary64) (.f64 v (*.f64 v v))))
(* -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))))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (.f64 v (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 t (/.f64 (PI.f64) (.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 #s(literal -6 binary64) (sqrt.f64 #s(literal -6 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) (/.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v v)) (/.f64 (PI.f64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))) (.f64 #s(literal -1/12 binary64) (/.f64 (.f64 t (PI.f64)) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -6 binary64))))))) (.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))))))))))
(* 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))
(* (* 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))))
(* (* 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)))
(.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -3 (/ (* t (* (pow v 2) (PI))) (sqrt 2))) (* t (* (PI) (sqrt 2))))
(fma.f64 (.f64 t #s(literal -3 binary64)) (/.f64 (.f64 (PI.f64) (.f64 v v)) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* t (* (PI) (sqrt 2))) (* (pow v 2) (+ (* -9/2 (/ (* t (* (pow v 2) (PI))) (pow (sqrt 2) 3))) (* -3 (/ (* t (PI)) (sqrt 2))))))
(fma.f64 v (.f64 v (fma.f64 t (.f64 (/.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)) (.f64 (/.f64 (.f64 t (.f64 (PI.f64) (.f64 v v))) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64)))) (.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 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))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -27/2 binary64) (/.f64 (.f64 t (.f64 (PI.f64) (.f64 v v))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (.f64 (/.f64 (.f64 t (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -9/4 binary64))) (/.f64 (.f64 (.f64 t (PI.f64)) #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(* t (* v (* (PI) (sqrt -6))))
(.f64 t (.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
(* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))
(.f64 v (.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))))))))
(* v (+ (* -1/2 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(.f64 v (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)) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64))))
(* 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 v (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)) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64)))))
(* -1 (* t (* v (* (PI) (sqrt -6)))))
(-.f64 #s(literal 0 binary64) (.f64 t (.f64 (PI.f64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* v (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6))))))
(.f64 v (.f64 (-.f64 #s(literal 0 binary64) t) (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 (/ (* t (PI)) (* (pow v 4) (pow (sqrt -6) 3)))) (+ (* t (* (PI) (sqrt -6))) (/ (* t (PI)) (* (pow v 2) (sqrt -6)))))))
(.f64 (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)) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64))) (-.f64 #s(literal 0 binary64) v))
(* -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)) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -6 binary64)))) #s(literal 1/12 binary64)))) (-.f64 #s(literal 0 binary64) v))

eval187.0ms (1.4%)

Memory: 13.9MiB live, 479.0MiB allocated
Compiler: Compiled 38 377 to 3 613 computations (90.6% saved)

prune281.0ms (2.1%)

Memory

16.8MiB live, 497.3MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 503	7	1 510
Fresh	2	3	5
Picked	1	4	5
Done	0	2	2
Total	1 506	16	1 522

Accuracy

100.0%

Counts

1 522 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
▶	99.4%	(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	98.3%	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
▶	98.2%	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓	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))))))
	98.4%	(/.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
✓	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
	97.5%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
▶	97.5%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
✓	98.1%	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
▶	98.2%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
✓	97.5%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
	98.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓	98.1%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	97.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))

Compiler

Compiled 384 to 294 computations (23.4% saved)

simplify206.0ms (1.5%)

Memory

-7.9MiB live, 401.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	cost-diff	320	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
✓	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)) t)
✓	cost-diff	320	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(PI.f64)
✓	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	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))

Rules

4 808×	`accelerator-lowering-fma.f32`
4 808×	`accelerator-lowering-fma.f64`
3 044×	`-lowering-.f32`
3 044×	`-lowering-.f64`
1 518×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	201
1	80	197
2	164	197
3	413	197
4	1006	197
5	1682	197
6	2896	197
7	6102	197
0	8061	187

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (* v -5) v) 1) (* (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v))))
(+ (* (* v -5) v) 1)
(* v -5)
v
-5
1
(* (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)))
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(* (PI) t)
(PI)
t
(sqrt (+ (* -6 (* v v)) 2))
(+ (* -6 (* v v)) 2)
-6
(* v v)
2
(- 1 (* v v))
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/ 1 (* (PI) t))
1
(* (PI) t)
(PI)
t
(sqrt 1/2)
1/2
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(sqrt 1/2)
1/2
t
(PI)
(/ (/ 1 (PI)) (* (sqrt 2) t))
(/ 1 (PI))
1
(PI)
(* (sqrt 2) t)
(sqrt 2)
2
t
(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
(+ (* v (* v -4)) 1)
v
(* v -4)
-4
1
(* t (* (PI) (sqrt 2)))
t
(* (PI) (sqrt 2))
(PI)
(sqrt 2)
2

Outputs
(/ (+ (* (* v -5) v) 1) (* (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v))))
(/.f64 (fma.f64 (fma.f64 v v #s(literal 0 binary64)) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 (fma.f64 (PI.f64) t #s(literal 0 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 v v #s(literal 0 binary64)) #s(literal 2 binary64))) (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (* v -5) v) 1)
(fma.f64 v (fma.f64 v #s(literal -5 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(* v -5)
(fma.f64 v #s(literal -5 binary64) #s(literal 0 binary64))
v
-5
#s(literal -5 binary64)
1
#s(literal 1 binary64)
(* (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v)))
(fma.f64 (fma.f64 (PI.f64) t #s(literal 0 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 v v #s(literal 0 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(fma.f64 (fma.f64 (PI.f64) t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 v v #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(* (PI) t)
(fma.f64 (PI.f64) t #s(literal 0 binary64))
(PI)
(PI.f64)
t
(sqrt (+ (* -6 (* v v)) 2))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 v v #s(literal 0 binary64)) #s(literal 2 binary64)))
(+ (* -6 (* v v)) 2)
(fma.f64 #s(literal -6 binary64) (fma.f64 v v #s(literal 0 binary64)) #s(literal 2 binary64))
-6
#s(literal -6 binary64)
(* v v)
(fma.f64 v v #s(literal 0 binary64))
2
#s(literal 2 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (PI.f64) t #s(literal 0 binary64)))
(/ 1 (* (PI) t))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) t #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* (PI) t)
(fma.f64 (PI.f64) t #s(literal 0 binary64))
(PI)
(PI.f64)
t
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (/ (sqrt 1/2) t) (PI))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (PI.f64) t #s(literal 0 binary64)))
(/ (sqrt 1/2) t)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
t
(PI)
(PI.f64)
(/ (/ 1 (PI)) (* (sqrt 2) t))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) t #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(* (sqrt 2) t)
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
t
(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
(/.f64 (fma.f64 v (fma.f64 v #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (PI.f64) t #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(+ (* v (* v -4)) 1)
(fma.f64 v (fma.f64 v #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
v
(* v -4)
(fma.f64 v #s(literal -4 binary64) #s(literal 0 binary64))
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(* t (* (PI) (sqrt 2)))
(fma.f64 (fma.f64 (PI.f64) t #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
t
(* (PI) (sqrt 2))
(fma.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(PI)
(PI.f64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize145.0ms (1.1%)

Memory

-3.9MiB live, 230.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(.f64 t (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.6%	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
✓	accuracy	99.2%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t)
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) t))
✓	accuracy	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	accuracy	99.6%	(*.f64 (PI.f64) t)
✓	accuracy	99.3%	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))

Samples

81.0ms

256×

valid

Compiler

Compiled 192 to 38 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 30.0ms (48.9% of total)

ival-mult: 18.0ms (29.3% of total)

ival-sqrt: 5.0ms (8.2% of total)

ival-add: 3.0ms (4.9% of total)

ival-pi: 2.0ms (3.3% of total)

ival-sub: 2.0ms (3.3% of total)

exact: 1.0ms (1.6% of total)

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

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

series8.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

18 → 204

Calls

Call 1

Inputs
#<alt (/ (+ (* (* v -5) v) 1) (* (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v))))>
#<alt (+ (* (* v -5) v) 1)>
#<alt (PI)>
#<alt (sqrt (+ (* -6 (* v v)) 2))>
#<alt (* (/ 1 (* (PI) t)) (sqrt 1/2))>
#<alt (/ 1 (* (PI) t))>
#<alt (sqrt 1/2)>
#<alt (/ (/ (sqrt 1/2) t) (PI))>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (/ 1 (PI)) (* (sqrt 2) t))>
#<alt (/ 1 (PI))>
#<alt (sqrt 2)>
#<alt (/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))>
#<alt (+ (* v (* v -4)) 1)>
#<alt (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))>
#<alt (* (PI) t)>
#<alt (* (sqrt 2) t)>
#<alt (* t (* (PI) (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 (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* v (sqrt -6))>
#<alt (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))>
#<alt (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<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 (/ 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 (/ (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 (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<alt (/ (sqrt 1/2) t)>
#<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) (sqrt 2))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))>
#<alt (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt (/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (* -4 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* -4 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<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 (* 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))>
#<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 (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 (* (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)))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
0.0ms	t	@	0	(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
0.0ms	v	@	inf	(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
0.0ms	t	@	0	(/ 1 (* (PI) t))
0.0ms	t	@	-inf	(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))

rewrite379.0ms (2.8%)

Memory

4.2MiB live, 645.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 754×	`-lowering-.f32`
4 754×	`-lowering-.f64`
4 132×	`/-lowering-/.f32`
4 132×	`/-lowering-/.f64`
3 218×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	128
1	192	124
2	1376	123
0	8221	116

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 890

Calls

Call 1

Inputs
(/ (+ (* (* v -5) v) 1) (* (* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2))) (- 1 (* v v))))
(+ (* (* v -5) v) 1)
(PI)
(sqrt (+ (* -6 (* v v)) 2))
(* (/ 1 (* (PI) t)) (sqrt 1/2))
(/ 1 (* (PI) t))
(sqrt 1/2)
(/ (/ (sqrt 1/2) t) (PI))
(/ (sqrt 1/2) t)
(/ (/ 1 (PI)) (* (sqrt 2) t))
(/ 1 (PI))
(sqrt 2)
(/ (+ (* v (* v -4)) 1) (* t (* (PI) (sqrt 2))))
(+ (* v (* v -4)) 1)
(* (* (PI) t) (sqrt (+ (* -6 (* v v)) 2)))
(* (PI) t)
(* (sqrt 2) t)
(* t (* (PI) (sqrt 2)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #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)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (.f64 v 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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (/.f64 (/.f64 #s(literal 1 binary64) (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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (/.f64 (fma.f64 (.f64 v 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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64))) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 (.f64 v 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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v 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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(neg.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #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) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (/.f64 (-.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 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (.f64 v v))))) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (.f64 v v)))) (/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.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 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (PI.f64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(/.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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v)))))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (.f64 v v))))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64)) (.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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (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 0 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 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (.f64 v v)))))))
(/.f64 (-.f64 #s(literal 0 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 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (fma.f64 #s(literal -5 binary64) (.f64 v v) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64))) (neg.f64 (.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 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -5 binary64) (*.f64 v v)))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(/.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 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
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simplify718.0ms (5.3%)

Memory

-18.0MiB live, 1 373.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24 988×	`accelerator-lowering-fma.f32`
24 988×	`accelerator-lowering-fma.f64`
5 946×	`-lowering-.f32`
5 946×	`-lowering-.f64`
4 934×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	2927
1	789	2764
2	3092	2705
0	8195	2582

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* v (sqrt -6))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (sqrt -6)))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(/ (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)))
(/ 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 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)))
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ (sqrt 1/2) t)
(/ 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) (sqrt 2))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(+ (* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2))))) (/ 1 (* t (* (PI) (sqrt 2)))))
(* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* -4 (/ (pow v 2) (* t (* (PI) (sqrt 2)))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(* (pow v 2) (- (/ 1 (* t (* (pow v 2) (* (PI) (sqrt 2))))) (* 4 (/ 1 (* t (* (PI) (sqrt 2)))))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
(/ (+ 1 (* -4 (pow v 2))) (* t (* (PI) (sqrt 2))))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (* 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)))))
(* 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))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* t (PI))
(* 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))
(* 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)))

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 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) (/.f64 (.f64 (.f64 v v) #s(literal 3/4 binary64)) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* (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 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) (.f64 (.f64 v v) (fma.f64 v (.f64 v (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 #s(literal 3/4 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(+ (* (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 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) (.f64 (.f64 v v) (fma.f64 v (.f64 v (+.f64 (/.f64 #s(literal 27/16 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 135/32 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal -27/4 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 t (PI.f64))) #s(literal -4 binary64) (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64)))))))) (/.f64 #s(literal -3 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))) (/.f64 #s(literal 3/4 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 1/2 binary64))))))))
(* 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 (/.f64 (sqrt.f64 #s(literal -1/6 binary64)) t) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 v v))) (/.f64 #s(literal 5 binary64) (PI.f64))) (/.f64 #s(literal -5/36 binary64) (.f64 t (.f64 v (.f64 v (.f64 (PI.f64) (sqrt.f64 #s(literal -1/6 binary64)))))))) 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)
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(/ (- (+ (* -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)
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(.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))))

eval339.0ms (2.5%)

Memory: 7.1MiB live, 313.2MiB allocated
Compiler: Compiled 27 189 to 3 091 computations (88.6% saved)

prune292.0ms (2.2%)

Memory

-10.5MiB live, 326.8MiB allocated

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	1 405	2	1 407
Fresh	0	5	5
Picked	0	5	5
Done	0	6	6
Total	1 405	18	1 423

Accuracy

100.0%

Counts

1 423 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
✓	99.4%	(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 v v))))
✓	98.3%	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
✓	98.2%	(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
✓	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))))))
	98.4%	(/.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
	98.2%	(/.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) t) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
✓	99.4%	(/.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
	97.5%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (PI.f64)) t)
✓	97.5%	(/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (PI.f64))
	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
✓	98.1%	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
✓	98.2%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
✓	97.5%	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
	98.0%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) t) (sqrt.f64 #s(literal 2 binary64))))
✓	98.1%	(/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))))
	98.1%	(.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
✓	97.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) t)) (sqrt.f64 #s(literal 1/2 binary64)))

Compiler

Compiled 838 to 327 computations (61% saved)

regimes47.0ms (0.4%)

Memory

-4.8MiB live, 113.1MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.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 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.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 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) t) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.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 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (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 (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 (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 (/.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 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (.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 #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 (/.f64 (fma.f64 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(.f64 (fma.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 (.f64 (neg.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 v (.f64 v #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.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 (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))))))))

Outputs

(/.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))))

Calls

5 calls:

11.0ms	(/.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))))
9.0ms	v
9.0ms	(*.f64 (PI.f64) t)
9.0ms	t
8.0ms	(*.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)

regimes36.0ms (0.3%)

Memory

1.0MiB live, 79.3MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.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 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.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 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) t) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.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 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 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 #s(literal -5 binary64)) v #s(literal 1 binary64)) (.f64 (.f64 (.f64 (PI.f64) t) (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 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))

Outputs

(/.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))))))

Calls

5 calls:

8.0ms	(/.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	v
7.0ms	(*.f64 (PI.f64) t)
7.0ms	t
5.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.4%	1	`v`
99.4%	1	`t`
99.4%	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))))`
99.4%	1	`(*.f64 v v)`
99.4%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes31.0ms (0.2%)

Memory

31.8MiB live, 72.9MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.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 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.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 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) t) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.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 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))
(/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

Outputs

(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))

Calls

5 calls:

8.0ms	(/.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))))
6.0ms	(*.f64 (PI.f64) t)
6.0ms	t
6.0ms	v
5.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.6%	1	`v`
98.6%	1	`t`
98.6%	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))))`
98.6%	1	`(*.f64 v v)`
98.6%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes31.0ms (0.2%)

Memory

0.4MiB live, 78.5MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 t (PI.f64)))
(.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 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.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 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) t))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 t (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (fma.f64 (.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (PI.f64) (.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) t) (.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64)))))
(/.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 (.f64 v v) #s(literal -4 binary64) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) (*.f64 (PI.f64) t))

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

Calls

5 calls:

6.0ms	v
6.0ms	(/.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))))
6.0ms	t
6.0ms	(*.f64 (PI.f64) t)
6.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.5%	1	`t`
98.5%	1	`(*.f64 (PI.f64) t)`
98.5%	1	`v`
98.5%	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))))`
98.5%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes20.0ms (0.2%)

Memory

-20.6MiB live, 59.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(/.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))))
4.0ms	t
4.0ms	(*.f64 (PI.f64) t)
4.0ms	v
4.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.2%	1	`t`
98.2%	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))))`
98.2%	1	`(*.f64 (PI.f64) t)`
98.2%	1	`v`
98.2%	1	`(*.f64 v v)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes15.0ms (0.1%)

Memory

3.9MiB live, 43.4MiB allocated

Counts

7 → 1

Calls

Call 1

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

Calls

5 calls:

4.0ms	(/.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
98.2%	1	`v`
98.2%	1	`t`
98.2%	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))))`
98.2%	1	`(*.f64 v v)`
98.2%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes12.0ms (0.1%)

Memory

-8.8MiB live, 30.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	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	v
2.0ms	(*.f64 (PI.f64) t)
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.1%	1	`v`
98.1%	1	`t`
98.1%	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))))`
98.1%	1	`(*.f64 v v)`
98.1%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes8.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Accuracy

Total -0.1b remaining (-8%)

Threshold costs -0.1b (-8%)

Counts

2 → 1

Calls

Call 1

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

Results

Accuracy	Segments	Branch
97.5%	1	`v`
97.5%	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))))`
97.5%	1	`(*.f64 v v)`
97.5%	1	`t`
97.5%	1	`(*.f64 (PI.f64) t)`

Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify10.0ms (0.1%)

Memory

-11.3MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	110
1	75	110
2	91	110
3	99	110
4	103	110

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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 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) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.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 (-.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 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 v (.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (.f64 (PI.f64) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (.f64 t (-.f64 #s(literal 1 binary64) (.f64 v v))))))
(/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (PI.f64) t) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal -6 binary64) (.f64 v v) #s(literal 2 binary64))) (*.f64 (PI.f64) t)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 #s(literal 2 binary64)))) t)
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) t))
(/.f64 #s(literal 1 binary64) (.f64 t (.f64 (PI.f64) (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))

soundness915.0ms (6.8%)

Memory

6.5MiB live, 789.4MiB allocated

Rules

23 106×	`accelerator-lowering-fma.f32`
23 106×	`accelerator-lowering-fma.f64`
22 676×	`accelerator-lowering-fma.f32`
22 676×	`accelerator-lowering-fma.f64`
7 028×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	162
1	191	159
2	1308	159
0	8450	149
0	195	2113
1	576	2013
2	2413	1898
0	8035	1805
0	35	196
1	201	196
2	1678	195
0	8742	182
0	307	5956
1	904	5491
2	3470	5326
0	8107	5068
0	19	73
1	115	73
2	910	67
0	8745	61

Stop Event

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

Compiler

Compiled 283 to 178 computations (37.1% saved)

preprocess88.0ms (0.7%)

Memory

13.8MiB live, 129.8MiB allocated

Remove

(negabs t)

(abs v)

Compiler

Compiled 824 to 468 computations (43.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze75.0ms (0.6%)

sample1.4s (10.5%)

preprocess365.0ms (2.7%)

explain251.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify288.0ms (2.1%)

localize66.0ms (0.5%)

series20.0ms (0.2%)

rewrite439.0ms (3.3%)

simplify821.0ms (6.1%)

eval86.0ms (0.6%)

prune140.0ms (1%)

simplify241.0ms (1.8%)

localize193.0ms (1.4%)

series31.0ms (0.2%)

rewrite982.0ms (7.3%)

simplify748.0ms (5.6%)

eval1.0s (7.7%)

prune633.0ms (4.7%)

simplify337.0ms (2.5%)

localize209.0ms (1.6%)

series67.0ms (0.5%)

rewrite633.0ms (4.7%)

simplify597.0ms (4.4%)

eval187.0ms (1.4%)

prune281.0ms (2.1%)

simplify206.0ms (1.5%)

localize145.0ms (1.1%)

series8.0ms (0.1%)

rewrite379.0ms (2.8%)

simplify718.0ms (5.3%)

eval339.0ms (2.5%)

prune292.0ms (2.2%)

regimes47.0ms (0.4%)

regimes36.0ms (0.3%)

regimes31.0ms (0.2%)

regimes31.0ms (0.2%)

regimes20.0ms (0.2%)

regimes15.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

simplify10.0ms (0.1%)

soundness915.0ms (6.8%)

preprocess88.0ms (0.7%)

end0.0ms (0%)

Profiling