Metrics for Falkner and Boettcher, Appendix B, 2

analyze6.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (30.5% of total)

ival-sqrt: 1.0ms (30.5% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.2s (6%)

Results

918.0ms	8256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 676.0ms

ival-mult: 274.0ms (40.5% of total)

ival-sqrt: 203.0ms (30% of total)

ival-sub: 97.0ms (14.4% of total)

ival-div: 70.0ms (10.4% of total)

const: 29.0ms (4.3% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess603.0ms (3%)

Algorithm

2×	egg-herbie

Rules

7438×	`accelerator-lowering-fma.f32`
7438×	`accelerator-lowering-fma.f64`
3206×	`-lowering-.f32`
3206×	`-lowering-.f64`
1088×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	58
1	73	57
2	191	57
3	614	57
4	1678	57
5	2989	57
6	4018	57
7	4349	57
8	4401	57
9	4461	57
10	4557	57
11	5267	57
12	6053	57
13	7166	57
14	7517	57
0	14	19
1	36	19
2	88	19
3	219	19
4	646	19
5	1458	19
6	2003	19
7	3601	19
8	4895	19
9	6414	19
10	7378	19
0	8003	17

Stop Event

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

Calls

Call 1

Inputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

Outputs

(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))

Call 2

Inputs

(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v))))

(neg (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v)))))

Outputs
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
(* (sqrt 2) (* (sqrt (+ 1 (* (* v v) -3))) (* (- 1 (* v v)) 1/4)))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v))))
(* (sqrt 2) (* (sqrt (+ 1 (* (* v v) -3))) (* (- 1 (* v v)) 1/4)))
(neg (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v)))))
(* (sqrt 2) (* (* (sqrt (+ 1 (* (* v v) -3))) (- 1 (* v v))) -1/4))

Symmetry

(abs v)

explain226.0ms (1.1%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`v`
1	(1.0794661700142657e-162)	-	`(.f64 #s(literal 3 binary64) (.f64 v v))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))`
0	-	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	-	`(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`(*.f64 v v)`
0	-	-	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
0	-	-	`(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (*.f64 v v)))))`
0	-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))`

Results

151.0ms

512×

valid

Compiler

Compiled 166 to 113 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 32.0ms (33.9% of total)

ival-sqrt: 29.0ms (30.8% of total)

ival-sub: 17.0ms (18% of total)

ival-div: 11.0ms (11.7% of total)

const: 6.0ms (6.4% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 20 to 15 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))

Status

Accuracy

Program

▶

100.0%

(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))

Compiler

Compiled 20 to 15 computations (25% saved)

localize556.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64))))
✓	cost-diff	0	(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -3 binary64))

Rules

7370×	`accelerator-lowering-fma.f32`
7370×	`accelerator-lowering-fma.f64`
3162×	`-lowering-.f32`
3162×	`-lowering-.f64`
1108×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	31	79
2	68	79
3	162	79
4	469	79
5	932	79
6	1658	79
7	3530	79
8	4840	79
9	6347	79
10	7379	79
0	8029	74

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v)))) 4)
(* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v))))
(sqrt (+ 1 (* (* v v) -3)))
(+ 1 (* (* v v) -3))
1
(* (* v v) -3)
(* v v)
v
-3
(* (sqrt 2) (- 1 (* v v)))
(sqrt 2)
2
(- 1 (* v v))
4

Outputs
(/ (* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v)))) 4)
(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(sqrt (+ 1 (* (* v v) -3)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64))))
(+ 1 (* (* v v) -3))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -3)
(.f64 (.f64 v v) #s(literal -3 binary64))
(* v v)
(*.f64 v v)
v
-3
#s(literal -3 binary64)
(* (sqrt 2) (- 1 (* v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
4
#s(literal 4 binary64)

Results

69.0ms

256×

valid

Compiler

Compiled 81 to 51 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 19.0ms (38.5% of total)

ival-sqrt: 13.0ms (26.3% of total)

ival-sub: 5.0ms (10.1% of total)

ival-add: 5.0ms (10.1% of total)

ival-div: 4.0ms (8.1% of total)

const: 3.0ms (6.1% of total)

backward-pass: 0.0ms (0% of total)

series16.0ms (0.1%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (* (* v v) -3)>
#<alt (sqrt (+ 1 (* (* v v) -3)))>
#<alt (* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v))))>
#<alt (* (sqrt 2) (- 1 (* v v)))>
#<alt (/ (* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v)))) 4)>
#<alt (+ 1 (* (* v v) -3))>

Outputs
#<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))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))>
#<alt (* v (sqrt -3))>
#<alt (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))>
#<alt (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))>
#<alt (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -1 (* v (sqrt -3)))>
#<alt (* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))>
#<alt (* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))>
#<alt (* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))>
#<alt (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))>
#<alt (* (pow v 3) (* (sqrt -3) (sqrt 2)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (* -1 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* -1 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))>
#<alt (* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))>
#<alt (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))>
#<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))>

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	v	@	inf	(/ (* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v)))) 4)
1.0ms	v	@	inf	(* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v))))
1.0ms	v	@	inf	(* (sqrt 2) (- 1 (* v v)))
1.0ms	v	@	inf	(sqrt (+ 1 (* (* v v) -3)))
1.0ms	v	@	0	(* (* v v) -3)

rewrite592.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4808×	`accelerator-lowering-fma.f32`
4808×	`accelerator-lowering-fma.f64`
4720×	`-lowering-.f32`
4720×	`-lowering-.f64`
2590×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	67	62
2	446	62
3	4014	62
0	9412	55

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 409

Calls

Call 1

Inputs
(* (* v v) -3)
(sqrt (+ 1 (* (* v v) -3)))
(* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v))))
(* (sqrt 2) (- 1 (* v v)))
(/ (* (sqrt (+ 1 (* (* v v) -3))) (* (sqrt 2) (- 1 (* v v)))) 4)
(+ 1 (* (* v v) -3))

Outputs
(exp.f64 (log.f64 (.f64 v (.f64 v #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 v (*.f64 v #s(literal -3 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(.f64 v (.f64 v #s(literal -3 binary64)))
(.f64 v (.f64 (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)))
(.f64 v (exp.f64 (log.f64 (.f64 v #s(literal -3 binary64)))))
(.f64 (.f64 v v) #s(literal -3 binary64))
(.f64 (.f64 v v) (exp.f64 (log.f64 #s(literal -3 binary64))))
(.f64 #s(literal -3 binary64) (.f64 v v))
(.f64 (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))))
(.f64 (.f64 v #s(literal -3 binary64)) v)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 v #s(literal -3 binary64))) v)
(.f64 (exp.f64 (log.f64 (.f64 v #s(literal -3 binary64)))) v)
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 3 binary64)))) #s(literal -1 binary64))
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simplify771.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

15252×	`accelerator-lowering-fma.f32`
15252×	`accelerator-lowering-fma.f64`
5038×	`+-lowering-+.f64`
5038×	`+-lowering-+.f32`
4498×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	1323
1	561	1276
2	2217	1140
0	8166	1090

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -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))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* v (sqrt -3))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (sqrt -3)))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(sqrt 2)
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))
(* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(* (pow v 3) (* (sqrt -3) (sqrt 2)))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(sqrt 2)
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(* -1 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -1 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
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))

Outputs
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow v 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) #s(literal -9/8 binary64)))))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64)))))))
(* v (sqrt -3))
(*.f64 v (sqrt.f64 #s(literal -3 binary64)))
(* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3))))))
(.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3)))))
(.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (*.f64 v v)))))))
(* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3))))))
(.f64 v (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (*.f64 v v))))))))
(* -1 (* v (sqrt -3)))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ (sqrt -3) (* 1/2 (/ 1 (* (pow v 2) (sqrt -3)))))))
(-.f64 #s(literal 0 binary64) (.f64 v (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* -1 (* v (- (+ (sqrt -3) (/ 1/2 (* (pow v 2) (sqrt -3)))) (/ 1/8 (* (pow v 4) (pow (sqrt -3) 3))))))
(.f64 (+.f64 (sqrt.f64 #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (- (+ (sqrt -3) (+ (/ 1/2 (* (pow v 2) (sqrt -3))) (* 1/16 (/ 1 (* (pow v 6) (pow (sqrt -3) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -3) 3)))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (*.f64 v v))))))) (-.f64 #s(literal 0 binary64) v))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v)))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))))))
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/2 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (+ (* -1 (sqrt 2)) (* (pow v 2) (+ (* -9/8 (sqrt 2)) (+ (* 3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2)))))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (.f64 (*.f64 v v) #s(literal -9/16 binary64)))))))
(* -1 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v v)))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))
(.f64 (.f64 v (.f64 v v)) (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))
(.f64 (.f64 v v) (.f64 v (+.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
(* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2)))))))))
(.f64 (.f64 v (.f64 v v)) (+.f64 (+.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))))
(* (pow v 3) (* (sqrt -3) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 v (.f64 v v)) (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))
(.f64 (+.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1 (* (sqrt -3) (sqrt 2))) (+ (* -1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (+ (* -1/8 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 3)))) (+ (* -1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 4) (sqrt -3)))) (/ (* (sqrt -3) (sqrt 2)) (pow v 2))))))))))
(.f64 (+.f64 (+.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 #s(literal -1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -3 binary64)))))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 v (*.f64 v v))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))
(* -1 (* (pow v 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v v)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow v 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v v)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(.f64 (.f64 v v) (-.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))) #s(literal 1/4 binary64))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2))))) (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))))))
(.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/2 binary64) (.f64 (.f64 v v) #s(literal 3/8 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2)))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (+ (* -27/16 (sqrt 2)) (* 9/8 (sqrt 2))))) (* 1/4 (+ (* -9/8 (sqrt 2)) (* 3/2 (sqrt 2)))))))))
(+.f64 (.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (.f64 (.f64 v v) #s(literal -9/16 binary64)))) (.f64 (.f64 v v) #s(literal 1/4 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))) #s(literal 1/4 binary64)))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (.f64 v v)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2)))))
(.f64 (.f64 v (.f64 v v)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (*.f64 v v))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))
(.f64 (.f64 v (.f64 v v)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (*.f64 v v)))))))
(* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (.f64 v (.f64 v v)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))) (-.f64 #s(literal 0 binary64) (.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4)))))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v)))))) (-.f64 #s(literal 0 binary64) (.f64 v (*.f64 v v))))
(* -1 (* (pow v 3) (+ (* -1/4 (* (sqrt -3) (sqrt 2))) (+ (* 1/4 (/ (+ (* -1/2 (/ (sqrt 2) (sqrt -3))) (* (sqrt -3) (sqrt 2))) (pow v 2))) (+ (* 1/4 (/ (+ (* -1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* -1/16 (/ (sqrt 2) (pow (sqrt -3) 5)))) (pow v 6))) (* 1/4 (/ (+ (* 1/8 (/ (sqrt 2) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 2) (sqrt -3)))) (pow v 4))))))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (+.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 11/24 binary64)) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 v (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 #s(literal -3 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 v v)) #s(literal 1 binary64))

eval149.0ms (0.7%)

Compiler: Compiled 16275 to 9754 computations (40.1% saved)

prune74.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	475	6	481
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	475	7	482

Accuracy

100.0%

Counts

482 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
	99.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) #s(literal -9/8 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
▶	99.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	100.0%	(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
▶	99.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))) #s(literal 4 binary64))
▶	99.2%	(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
▶	99.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))

Compiler

Compiled 244 to 177 computations (27.5% saved)

localize1.1s (5.2%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal -3/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	128	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
✓	cost-diff	384	(+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
✓	cost-diff	384	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v)))))
✓	cost-diff	384	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))) #s(literal 4 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	cost-diff	128	(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	128	(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
✓	cost-diff	0	(.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64)))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -3/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v)))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -3/2 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	100.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	99.8%	(.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -27/16 binary64))
✓	accuracy	99.8%	(.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))

Rules

12720×	`accelerator-lowering-fma.f32`
12720×	`accelerator-lowering-fma.f64`
3950×	`-lowering-.f32`
3950×	`-lowering-.f64`
2182×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	274
1	101	274
2	310	262
3	1116	262
4	3573	260
5	6552	260
0	8284	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v)))) 4)
(* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v))))
(+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))
1
(* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))
(* v v)
v
(+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))
-3/2
(* (* v v) (+ -9/8 (* (* v v) -27/16)))
(+ -9/8 (* (* v v) -27/16))
-9/8
(* (* v v) -27/16)
-27/16
(* (sqrt 2) (- 1 (* v v)))
(sqrt 2)
2
(- 1 (* v v))
4
(/ (sqrt 2) 4)
(/ (* 1 (* (sqrt 2) (- 1 (* v v)))) 4)
(* 1 (* (sqrt 2) (- 1 (* v v))))
(/ (* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))) 4)
(* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v)))))
(+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))
(* (* v v) -3/2)
(+ 1 (- 0 (* v v)))
(- 0 (* v v))
0
(/ (* (+ 1 (* (* v v) -3/2)) (* (sqrt 2) (- 1 (* v v)))) 4)
(* (+ 1 (* (* v v) -3/2)) (* (sqrt 2) (- 1 (* v v))))
(+ 1 (* (* v v) -3/2))

Outputs
(/ (* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v)))) 4)
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64)))))))
1
#s(literal 1 binary64)
(* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))
(.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))
(* v v)
(*.f64 v v)
v
(+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))
(+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64)))))
-3/2
#s(literal -3/2 binary64)
(* (* v v) (+ -9/8 (* (* v v) -27/16)))
(.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))
(+ -9/8 (* (* v v) -27/16))
(+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64)))
-9/8
#s(literal -9/8 binary64)
(* (* v v) -27/16)
(.f64 (.f64 v v) #s(literal -27/16 binary64))
-27/16
#s(literal -27/16 binary64)
(* (sqrt 2) (- 1 (* v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
4
#s(literal 4 binary64)
(/ (sqrt 2) 4)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(/ (* 1 (* (sqrt 2) (- 1 (* v v)))) 4)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal 4 binary64))
(* 1 (* (sqrt 2) (- 1 (* v v))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/ (* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))) 4)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 5/2 binary64)))) #s(literal 4 binary64))
(* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal 5/2 binary64))))
(+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 5/2 binary64)))
(* (* v v) -3/2)
(.f64 (.f64 v v) #s(literal -3/2 binary64))
(+ 1 (- 0 (* v v)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(- 0 (* v v))
(-.f64 #s(literal 0 binary64) (*.f64 v v))
0
#s(literal 0 binary64)
(/ (* (+ 1 (* (* v v) -3/2)) (* (sqrt 2) (- 1 (* v v)))) 4)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -3/8 binary64))))
(* (+ 1 (* (* v v) -3/2)) (* (sqrt 2) (- 1 (* v v))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -3/2 binary64)))))
(+ 1 (* (* v v) -3/2))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64)))

Results

268.0ms

256×

valid

Compiler

Compiled 353 to 209 computations (40.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 85.0ms (41.3% of total)

ival-add: 37.0ms (18% of total)

ival-sqrt: 37.0ms (18% of total)

ival-sub: 26.0ms (12.6% of total)

const: 12.0ms (5.8% of total)

ival-div: 9.0ms (4.4% of total)

backward-pass: 0.0ms (0% of total)

series29.0ms (0.1%)

Counts

20 → 216

Calls

Call 1

Inputs
#<alt (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))>
#<alt (* (* v v) -27/16)>
#<alt (* (* v v) (+ -9/8 (* (* v v) -27/16)))>
#<alt (* (sqrt 2) (- 1 (* v v)))>
#<alt (sqrt 2)>
#<alt (/ (sqrt 2) 4)>
#<alt (* 1 (* (sqrt 2) (- 1 (* v v))))>
#<alt (* v v)>
#<alt (* (* v v) -3/2)>
#<alt (* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v)))))>
#<alt (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))>
#<alt (* (+ 1 (* (* v v) -3/2)) (* (sqrt 2) (- 1 (* v v))))>
#<alt (/ (* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v)))) 4)>
#<alt (* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v))))>
#<alt (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))>
#<alt (/ (* 1 (* (sqrt 2) (- 1 (* v v)))) 4)>
#<alt (/ (* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))) 4)>
#<alt (+ 1 (- 0 (* v v)))>
#<alt (/ (* (+ 1 (* (* v v) -3/2)) (* (sqrt 2) (- 1 (* v v)))) 4)>
#<alt (+ 1 (* (* v v) -3/2))>

Outputs
#<alt (* -3/2 (pow v 2))>
#<alt (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))>
#<alt (* -27/16 (pow v 6))>
#<alt (* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* -27/16 (pow v 6))>
#<alt (* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -27/16 (pow v 2))>
#<alt (* -9/8 (pow v 2))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))>
#<alt (* -27/16 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -27/16 (pow v 4))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (* -1 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* -1 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))>
#<alt (* -1 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* -1 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<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 (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* -3/2 (pow v 2))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (* -5/2 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* -5/2 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt (* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (+ 1 (* -5/2 (pow v 2)))>
#<alt (* -5/2 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* -5/2 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5/2))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/2 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/2 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/2 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/2 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/2 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/2 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))>
#<alt (* 3/2 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/2 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/2 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/2 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))>
#<alt (* 27/64 (* (pow v 8) (sqrt 2)))>
#<alt (* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))>
#<alt (* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))>
#<alt (* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))>
#<alt (* 27/64 (* (pow v 8) (sqrt 2)))>
#<alt (* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))>
#<alt (* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))>
#<alt (* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* (pow v 2) (+ (* -9/16 (* (pow v 2) (sqrt 2))) (* 3/8 (sqrt 2)))))))>
#<alt (* 27/16 (* (pow v 8) (sqrt 2)))>
#<alt (* (pow v 8) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (* 27/16 (sqrt 2))))>
#<alt (* (pow v 8) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (/ (sqrt 2) (pow v 4))) (* 27/16 (sqrt 2)))))>
#<alt (* (pow v 8) (+ (* -5/2 (/ (sqrt 2) (pow v 6))) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (/ (sqrt 2) (pow v 4))) (* 27/16 (sqrt 2))))))>
#<alt (* 27/16 (* (pow v 8) (sqrt 2)))>
#<alt (* (pow v 8) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (* 27/16 (sqrt 2))))>
#<alt (* (pow v 8) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (/ (sqrt 2) (pow v 4))) (* 27/16 (sqrt 2)))))>
#<alt (* (pow v 8) (+ (* -5/2 (/ (sqrt 2) (pow v 6))) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (/ (sqrt 2) (pow v 4))) (* 27/16 (sqrt 2))))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))>
#<alt (* -27/16 (pow v 6))>
#<alt (* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))>
#<alt (* -27/16 (pow v 6))>
#<alt (* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))>
#<alt (* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))>
#<alt (* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -1/4 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -1/4 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<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 (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* 3/8 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))>
#<alt 1>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (+ 1 (* -3/2 (pow v 2)))>
#<alt (* -3/2 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))>
#<alt (* -3/2 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 3/2))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))
1.0ms	v	@	inf	(* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v)))))
1.0ms	v	@	inf	(* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))
1.0ms	v	@	inf	(/ (* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v)))) 4)
0.0ms	v	@	0	(/ (* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v)))) 4)

rewrite910.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4814×	`accelerator-lowering-fma.f32`
4814×	`accelerator-lowering-fma.f64`
3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
2986×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	237
1	229	237
2	2034	237
0	9431	208

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 955

Calls

Call 1

Inputs
(* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))
(* (* v v) -27/16)
(* (* v v) (+ -9/8 (* (* v v) -27/16)))
(* (sqrt 2) (- 1 (* v v)))
(sqrt 2)
(/ (sqrt 2) 4)
(* 1 (* (sqrt 2) (- 1 (* v v))))
(* v v)
(* (* v v) -3/2)
(* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v)))))
(+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))
(* (+ 1 (* (* v v) -3/2)) (* (sqrt 2) (- 1 (* v v))))
(/ (* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v)))) 4)
(* (+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16)))))) (* (sqrt 2) (- 1 (* v v))))
(+ 1 (* (* v v) (+ -3/2 (* (* v v) (+ -9/8 (* (* v v) -27/16))))))
(/ (* 1 (* (sqrt 2) (- 1 (* v v)))) 4)
(/ (* (sqrt 2) (+ (* (* v v) -3/2) (+ 1 (- 0 (* v v))))) 4)
(+ 1 (- 0 (* v v)))
(/ (* (+ 1 (* (* v v) -3/2)) (* (sqrt 2) (- 1 (* v v)))) 4)
(+ 1 (* (* v v) -3/2))

Outputs
(+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (.f64 (.f64 v v) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64)))))))
(+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 v (*.f64 v #s(literal -27/16 binary64))))))))
(+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 v (*.f64 v #s(literal -27/16 binary64)))))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64)))))) (.f64 (.f64 v v) #s(literal -3/2 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (.f64 (.f64 v v) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64)))))))) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64)))))) (.f64 (.f64 v v) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64))))))) (-.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (.f64 (.f64 v v) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 v (*.f64 v #s(literal -27/16 binary64)))))))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64))) (neg.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (.f64 v #s(literal -3/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (.f64 v #s(literal -3/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) v) (.f64 v #s(literal -3/2 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) v) (.f64 v #s(literal -3/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 3/2 binary64) (.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 3/2 binary64) (.f64 v v)) (.f64 #s(literal 3/2 binary64) (.f64 v v))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 3/2 binary64) (.f64 v v))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (-.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 #s(literal -27/8 binary64) (.f64 v (*.f64 v v)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) (.f64 v (.f64 v (.f64 v v)))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 #s(literal -27/8 binary64) (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (-.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9/4 binary64) (.f64 v (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) #s(literal -3/2 binary64)))))

simplify749.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

17380×	`accelerator-lowering-fma.f32`
17380×	`accelerator-lowering-fma.f64`
5168×	`-lowering-.f32`
5168×	`-lowering-.f64`
2994×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	2254
1	492	2090
2	1431	2029
3	3354	1962
4	5859	1962
0	8328	1849

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* -3/2 (pow v 2))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(* -27/16 (pow v 6))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* -27/16 (pow v 6))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -27/16 (pow v 2))
(* -9/8 (pow v 2))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(* -27/16 (pow v 4))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -27/16 (pow v 4))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(sqrt 2)
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(* -1 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -1 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(sqrt 2)
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -1 (* (pow v 2) (sqrt 2))))
(* -1 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -1 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -1 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(* -3/2 (pow v 2))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* -5/2 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
1
(+ 1 (* -5/2 (pow v 2)))
(+ 1 (* -5/2 (pow v 2)))
(+ 1 (* -5/2 (pow v 2)))
(* -5/2 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(* -5/2 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/2 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/2 (* (pow v 2) (sqrt 2))))))
(* 3/2 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/2 (sqrt 2))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/2 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/2 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* 3/2 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (* 3/2 (sqrt 2))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/2 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* (pow v 4) (+ (* -5/2 (/ (sqrt 2) (pow v 2))) (+ (* 3/2 (sqrt 2)) (/ (sqrt 2) (pow v 4)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(* 27/64 (* (pow v 8) (sqrt 2)))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))
(* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))
(* 27/64 (* (pow v 8) (sqrt 2)))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (* 27/64 (sqrt 2))))
(* (pow v 8) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2)))))
(* (pow v 8) (+ (* -5/8 (/ (sqrt 2) (pow v 6))) (+ (* -9/64 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (/ (sqrt 2) (pow v 4))) (* 27/64 (sqrt 2))))))
(sqrt 2)
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -5/2 (sqrt 2)) (* (pow v 2) (+ (* -9/16 (* (pow v 2) (sqrt 2))) (* 3/8 (sqrt 2)))))))
(* 27/16 (* (pow v 8) (sqrt 2)))
(* (pow v 8) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (* 27/16 (sqrt 2))))
(* (pow v 8) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (/ (sqrt 2) (pow v 4))) (* 27/16 (sqrt 2)))))
(* (pow v 8) (+ (* -5/2 (/ (sqrt 2) (pow v 6))) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (/ (sqrt 2) (pow v 4))) (* 27/16 (sqrt 2))))))
(* 27/16 (* (pow v 8) (sqrt 2)))
(* (pow v 8) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (* 27/16 (sqrt 2))))
(* (pow v 8) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (/ (sqrt 2) (pow v 4))) (* 27/16 (sqrt 2)))))
(* (pow v 8) (+ (* -5/2 (/ (sqrt 2) (pow v 6))) (+ (* -9/16 (/ (sqrt 2) (pow v 2))) (+ (* 3/8 (/ (sqrt 2) (pow v 4))) (* 27/16 (sqrt 2))))))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -9/8 (pow v 2)) 3/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2)))
(* -27/16 (pow v 6))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(* -27/16 (pow v 6))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(* 1/4 (sqrt 2))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -1/4 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -1/4 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(+ 1 (* -1 (pow v 2)))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
1
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* -3/2 (pow v 2)))
(+ 1 (* -3/2 (pow v 2)))
(* -3/2 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(* -3/2 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))

Outputs
(* -3/2 (pow v 2))
(.f64 #s(literal -3/2 binary64) (.f64 v v))
(* (pow v 2) (- (* -9/8 (pow v 2)) 3/2))
(.f64 v (.f64 v (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) #s(literal -9/8 binary64)))))
(* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 v (.f64 v (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64))))))))
(* (pow v 2) (- (* (pow v 2) (- (* -27/16 (pow v 2)) 9/8)) 3/2))
(.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 v (.f64 v (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64))))))))
(* -27/16 (pow v 6))
(*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 6 binary64)))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 v v))) (*.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 v v))) (*.f64 v v))))
(* -27/16 (pow v 6))
(*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 6 binary64)))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 v v))) (*.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 v v))) (*.f64 v v))))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -27/16 (pow v 2))
(.f64 v (.f64 v #s(literal -27/16 binary64)))
(* -9/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -9/8 binary64))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(.f64 v (.f64 v (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64))))))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(.f64 v (.f64 v (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64))))))
(* (pow v 2) (- (* -27/16 (pow v 2)) 9/8))
(.f64 v (.f64 v (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64))))))
(* -27/16 (pow v 4))
(.f64 #s(literal -27/16 binary64) (.f64 v (.f64 v (.f64 v v))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(.f64 v (.f64 v (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(.f64 v (.f64 v (+.f64 #s(literal -9/8 binary64) (.f64 v (.f64 v #s(literal -27/16 binary64))))))
(* -1 (* (pow v 4) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
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(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 v v))) (*.f64 v v))))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 27/16 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 v v))) (*.f64 v v))) (pow.f64 v #s(literal 6 binary64))))
(* -27/16 (pow v 6))
(*.f64 #s(literal -27/16 binary64) (pow.f64 v #s(literal 6 binary64)))
(* -1 (* (pow v 6) (+ 27/16 (* 9/8 (/ 1 (pow v 2))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 9/8 binary64) (.f64 v v))))
(* (pow v 6) (- (* -1 (/ (+ 9/8 (* 3/2 (/ 1 (pow v 2)))) (pow v 2))) 27/16))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -27/16 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 v v))) (*.f64 v v))))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 27/16 (+ (* 9/8 (/ 1 (pow v 2))) (/ 3/2 (pow v 4))))))
(-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 27/16 binary64) (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 v v))) (*.f64 v v))) (pow.f64 v #s(literal 6 binary64))))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* -1/4 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* -1/4 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* (pow v 2) (+ (* -1/4 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -1/4 binary64))))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(-.f64 #s(literal 0 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* -1 (pow v 2))
(-.f64 #s(literal 0 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* 1/4 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/8 (* (pow v 2) (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 3/8 binary64)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(.f64 v (.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
(* 3/8 (* (pow v 4) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 3/8 binary64)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2))))
(.f64 v (.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 4))) (* 3/8 (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/8 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -3/2 (pow v 2)))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))
(+ 1 (* -3/2 (pow v 2)))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))
(+ 1 (* -3/2 (pow v 2)))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))
(* -3/2 (pow v 2))
(.f64 #s(literal -3/2 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))
(* -3/2 (pow v 2))
(.f64 #s(literal -3/2 binary64) (.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3/2))
(+.f64 (.f64 #s(literal -3/2 binary64) (.f64 v v)) #s(literal 1 binary64))

eval758.0ms (3.7%)

Compiler: Compiled 75059 to 42287 computations (43.7% saved)

prune852.0ms (4.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	2179	3	2182
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	2183	6	2189

Accuracy

100.0%

Counts

2189 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	100.0%	(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	99.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
▶	99.7%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
▶	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
▶	99.5%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))

Compiler

Compiled 99 to 72 computations (27.3% saved)

localize345.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	256	(+.f64 (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
✓	cost-diff	256	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
✓	cost-diff	0	(.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 3/32 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 3/32 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal -5/8 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) #s(literal -5/8 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v))))
✓	accuracy	99.9%	(.f64 v (.f64 v (*.f64 v v)))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -9/64 binary64))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -5/8 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 3/32 binary64)))))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 3/32 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal 3/32 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -5/8 binary64))

Rules

2328×	`accelerator-lowering-fma.f32`
2328×	`accelerator-lowering-fma.f64`
898×	`-lowering-.f32`
898×	`-lowering-.f64`
630×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	163
1	73	155
2	208	155
3	557	155
4	1298	155
5	1841	155
6	1915	155
7	1927	155
8	1927	155
0	1927	139

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(sqrt 2)
2
(+ 1/4 (* (* v v) -5/8))
1/4
(* (* v v) -5/8)
(* v v)
v
-5/8
(* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32)))))
(+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32))))
(* (* v v) (+ -5/8 (* (* v v) 3/32)))
(+ -5/8 (* (* v v) 3/32))
(* (* v v) 3/32)
3/32
(* (sqrt 2) (+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8))))
(+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8)))
(* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v))))
(+ 3/32 (* (* v v) -9/64))
(* (* v v) -9/64)
-9/64
(* v (* v (* v v)))
(* v (* v v))

Outputs
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1/4 (* (* v v) -5/8))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) #s(literal -5/8 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* v v) -5/8)
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
(* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 3/32 binary64)))))
(* (* v v) (+ -5/8 (* (* v v) 3/32)))
(.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 3/32 binary64))))
(+ -5/8 (* (* v v) 3/32))
(+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) #s(literal 3/32 binary64)))
(* (* v v) 3/32)
(.f64 (.f64 v v) #s(literal 3/32 binary64))
3/32
#s(literal 3/32 binary64)
(* (sqrt 2) (+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v (+.f64 #s(literal 3/32 binary64) (.f64 (*.f64 v v) #s(literal -9/64 binary64)))))))))
(+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))))))))
(* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v))))
(.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v))))
(+ 3/32 (* (* v v) -9/64))
(+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64)))
(* (* v v) -9/64)
(.f64 (.f64 v v) #s(literal -9/64 binary64))
-9/64
#s(literal -9/64 binary64)
(* v (* v (* v v)))
(.f64 v (.f64 v (*.f64 v v)))
(* v (* v v))
(.f64 v (.f64 v v))

Results

131.0ms

256×

valid

Compiler

Compiled 206 to 104 computations (49.5% saved)

Precisions

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

ival-mult: 51.0ms (56.7% of total)

ival-add: 21.0ms (23.4% of total)

ival-sqrt: 11.0ms (12.2% of total)

const: 6.0ms (6.7% of total)

backward-pass: 0.0ms (0% of total)

series23.0ms (0.1%)

Counts

14 → 156

Calls

Call 1

Inputs
#<alt (* (* v v) -5/8)>
#<alt (* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))>
#<alt (sqrt 2)>
#<alt (* v v)>
#<alt (* (* v v) 3/32)>
#<alt (* (* v v) (+ -5/8 (* (* v v) 3/32)))>
#<alt (* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32)))))>
#<alt (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32))))>
#<alt (* (* v v) -9/64)>
#<alt (* v (* v (* v v)))>
#<alt (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v))))>
#<alt (+ 1/4 (* (* v v) -5/8))>
#<alt (* (sqrt 2) (+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8))))>
#<alt (+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8)))>

Outputs
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (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 (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* 3/32 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* 3/32 (* (pow v 4) (sqrt 2)))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt (* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (* 3/32 (pow v 4))>
#<alt (* (pow v 4) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 4) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 4) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v))))
1.0ms	v	@	inf	(* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32)))))
0.0ms	v	@	inf	(* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v))))
0.0ms	v	@	inf	(* (sqrt 2) (+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8))))
0.0ms	v	@	inf	(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))

rewrite984.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

8690×	`accelerator-lowering-fma.f32`
8690×	`accelerator-lowering-fma.f64`
4928×	`-lowering-.f32`
4928×	`-lowering-.f64`
3348×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	140
1	140	132
2	1201	132
0	8631	118

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 593

Calls

Call 1

Inputs
(* (* v v) -5/8)
(* (sqrt 2) (+ 1/4 (* (* v v) -5/8)))
(sqrt 2)
(* v v)
(* (* v v) 3/32)
(* (* v v) (+ -5/8 (* (* v v) 3/32)))
(* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32)))))
(+ 1/4 (* (* v v) (+ -5/8 (* (* v v) 3/32))))
(* (* v v) -9/64)
(* v (* v (* v v)))
(* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v))))
(+ 1/4 (* (* v v) -5/8))
(* (sqrt 2) (+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8))))
(+ (* (+ 3/32 (* (* v v) -9/64)) (* v (* v (* v v)))) (+ 1/4 (* (* v v) -5/8)))

Outputs
(.f64 v (.f64 v #s(literal -5/8 binary64)))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(.f64 #s(literal -5/8 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -5/8 binary64)) v)
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 v (.f64 (.f64 v #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (.f64 v #s(literal -5/8 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal -5/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (.f64 v v) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal -125/512 binary64) (pow.f64 (.f64 (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125/512 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) #s(literal 5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 25/64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125/512 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) #s(literal 5/8 binary64))) (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 25/64 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal -125/512 binary64) (pow.f64 (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (*.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125/512 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal 5/8 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125/512 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal 5/8 binary64))))
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(.f64 (+.f64 (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (-.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))))
(.f64 (+.f64 (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) (+.f64 (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (+.f64 (.f64 (.f64 v v) #s(literal 5/8 binary64)) #s(literal -1/4 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal 5/8 binary64)) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (+.f64 (.f64 (*.f64 v v) #s(literal 5/8 binary64)) #s(literal -1/4 binary64)))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (-.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal 5/8 binary64)) #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))) (neg.f64 (.f64 v (.f64 v (.f64 v v))))) (+.f64 (.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125/512 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))) (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))))))
(.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(.f64 (+.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -25/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 (.f64 v v) #s(literal 5/8 binary64)))))

simplify794.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

16180×	`accelerator-lowering-fma.f32`
16180×	`accelerator-lowering-fma.f64`
4180×	`-lowering-.f32`
4180×	`-lowering-.f64`
2408×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1402
1	269	1345
2	711	1312
3	1739	1276
4	3212	1260
5	6812	1260
0	8144	1184

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* 3/32 (pow v 2))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* 3/32 (* (pow v 4) (sqrt 2)))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (* 3/32 (sqrt 2))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(* (pow v 4) (+ (* -5/8 (/ (sqrt 2) (pow v 2))) (+ (* 3/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* 3/32 (pow v 4))
(* (pow v 4) (- 3/32 (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 3/32 (/ 1/4 (pow v 4))) (* 5/8 (/ 1 (pow v 2)))))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(* 3/32 (pow v 4))
(* (pow v 4) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 4) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 4) (+ 3/32 (* -9/64 (pow v 2))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))

Outputs
(* -5/8 (pow v 2))
(.f64 v (.f64 #s(literal -5/8 binary64) v))
(* -5/8 (pow v 2))
(.f64 v (.f64 #s(literal -5/8 binary64) v))
(* -5/8 (pow v 2))
(.f64 v (.f64 #s(literal -5/8 binary64) v))
(* -5/8 (pow v 2))
(.f64 v (.f64 #s(literal -5/8 binary64) v))
(* -5/8 (pow v 2))
(.f64 v (.f64 #s(literal -5/8 binary64) v))
(* -5/8 (pow v 2))
(.f64 v (.f64 #s(literal -5/8 binary64) v))
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(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 (.f64 v (.f64 #s(literal -5/8 binary64) v)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v #s(literal 3/32 binary64))))))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))
(* -9/64 (pow v 6))
(.f64 #s(literal -9/64 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 v v)) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/64 binary64) (-.f64 (/.f64 #s(literal 5/8 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 3/32 binary64) (.f64 v v)))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)))))
(* -9/64 (pow v 6))
(.f64 #s(literal -9/64 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/32 binary64) (*.f64 v v))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 v v)) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/64 binary64) (-.f64 (/.f64 #s(literal 5/8 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 3/32 binary64) (.f64 v v)))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v v)))))

eval424.0ms (2.1%)

Compiler: Compiled 36755 to 20571 computations (44% saved)

prune250.0ms (1.2%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	913	5	918
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	914	10	924

Accuracy

100.0%

Counts

924 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	100.0%	(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
▶	99.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
✓	99.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
▶	99.7%	(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
▶	99.7%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64)))) #s(literal 1/16 binary64)) (-.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) #s(literal 1/4 binary64))))
▶	99.7%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))))
▶	99.7%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
✓	99.5%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))

Compiler

Compiled 490 to 313 computations (36.1% saved)

localize2.3s (11.2%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓	cost-diff	512	(-.f64 (.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))) #s(literal 1/16 binary64))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64)))) #s(literal 1/16 binary64)) (-.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (*.f64 v v) #s(literal -5/8 binary64))) #s(literal 1/4 binary64)))
✓	cost-diff	768	(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64)))) #s(literal 1/16 binary64)) (-.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) #s(literal 1/4 binary64))))
✓	cost-diff	256	(-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))
✓	cost-diff	384	(-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓	cost-diff	640	(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))))
✓	cost-diff	0	(.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal -5/8 binary64))
✓	cost-diff	256	(+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))
✓	cost-diff	256	(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -5/8 binary64))
✓	accuracy	99.8%	(.f64 v (.f64 v #s(literal -9/64 binary64)))
✓	accuracy	99.9%	(.f64 v (.f64 v (*.f64 v v)))
✓	accuracy	99.8%	(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -5/8 binary64))
✓	accuracy	99.8%	(.f64 v (.f64 v #s(literal -9/64 binary64)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓	accuracy	99.8%	(.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))
✓	accuracy	99.8%	(.f64 v (.f64 v #s(literal -9/64 binary64)))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -5/8 binary64))
✓	accuracy	99.9%	(.f64 v (.f64 v v))
✓	accuracy	99.8%	(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -5/8 binary64))
✓	accuracy	99.8%	(.f64 v (.f64 v #s(literal -9/64 binary64)))

Rules

18260×	`accelerator-lowering-fma.f32`
18260×	`accelerator-lowering-fma.f64`
4396×	`-lowering-.f32`
4396×	`-lowering-.f64`
2658×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	710
1	142	642
2	493	626
3	2358	626
4	6530	626
0	8105	543

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))) (sqrt 2))
(+ (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))
(* (* v v) -5/8)
(* v v)
v
-5/8
(+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))
1/4
(* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))
(* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))
(* v (* v v))
(+ 3/32 (* v (* v -9/64)))
3/32
(* v (* v -9/64))
(* v -9/64)
-9/64
(sqrt 2)
2
(/ (sqrt 2) (/ 1 (+ (* (* v v) -5/8) 1/4)))
(/ 1 (+ (* (* v v) -5/8) 1/4))
1
(+ (* (* v v) -5/8) 1/4)
(* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(+ 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))
(* (* v v) (+ 3/32 (* v (* v -9/64))))
(* (sqrt 2) (/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))))
(/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))))
(- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))))
(* (* v (* v (* v v))) 25/64)
(* v (* v (* v v)))
25/64
(* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))
(- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))
(* (sqrt 2) (/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4)))
(/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4))
(- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16)
(* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)))
(+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))
1/16
(- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4)

Outputs
(* (+ (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))) (sqrt 2))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))
(+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))))
(* (* v v) -5/8)
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
(+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))) (.f64 v (.f64 v (.f64 v v)))))
1/4
#s(literal 1/4 binary64)
(* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))
(.f64 (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))) (.f64 v (.f64 v (.f64 v v))))
(* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))
(.f64 v (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))
(* v (* v v))
(.f64 v (.f64 v v))
(+ 3/32 (* v (* v -9/64)))
(+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))
3/32
#s(literal 3/32 binary64)
(* v (* v -9/64))
(.f64 v (.f64 v #s(literal -9/64 binary64)))
(* v -9/64)
(*.f64 v #s(literal -9/64 binary64))
-9/64
#s(literal -9/64 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (sqrt 2) (/ 1 (+ (* (* v v) -5/8) 1/4)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (*.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(/ 1 (+ (* (* v v) -5/8) 1/4))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
1
#s(literal 1 binary64)
(+ (* (* v v) -5/8) 1/4)
(+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
(* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) (sqrt.f64 #s(literal 2 binary64)))
(+ 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))))
(* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))
(+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))
(+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))
(* (* v v) (+ 3/32 (* v (* v -9/64))))
(.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))
(* (sqrt 2) (/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (+.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (-.f64 #s(literal -3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))))) (+.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (-.f64 #s(literal -3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))))
(/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (+.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (-.f64 #s(literal -3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))))) (+.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (-.f64 #s(literal -3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (+.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (-.f64 #s(literal -3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(* (* v (* v (* v v))) 25/64)
(.f64 v (.f64 (.f64 v (.f64 v v)) #s(literal 25/64 binary64)))
(* v (* v (* v v)))
(.f64 v (.f64 v (*.f64 v v)))
25/64
#s(literal 25/64 binary64)
(* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))) (.f64 v (.f64 v (.f64 v v))))) (+.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))) (.f64 v (.f64 v (*.f64 v v))))))
(- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))
(+.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (-.f64 #s(literal -3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))))
(* (sqrt 2) (/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4)))
(.f64 (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) #s(literal -1/16 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))) #s(literal -1/4 binary64))))
(/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4))
(/.f64 (+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) #s(literal -1/16 binary64)) (+.f64 (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) #s(literal -1/4 binary64)))
(- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16)
(+.f64 (.f64 (.f64 v v) (.f64 (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))) #s(literal -1/16 binary64))
(* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)))
(.f64 (.f64 v v) (.f64 (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))
(.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))
1/16
#s(literal 1/16 binary64)
(- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4)
(+.f64 (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))))) #s(literal -1/4 binary64))

Results

829.0ms

256×

valid

Compiler

Compiled 963 to 509 computations (47.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 679.0ms

ival-mult: 491.0ms (72.3% of total)

ival-add: 113.0ms (16.7% of total)

ival-sqrt: 24.0ms (3.5% of total)

const: 21.0ms (3.1% of total)

ival-sub: 16.0ms (2.4% of total)

ival-div: 12.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series38.0ms (0.2%)

Counts

24 → 276

Calls

Call 1

Inputs
#<alt (* v (* v -9/64))>
#<alt (* (* v v) -5/8)>
#<alt (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))>
#<alt (* v (* v v))>
#<alt (/ (sqrt 2) (/ 1 (+ (* (* v v) -5/8) 1/4)))>
#<alt (sqrt 2)>
#<alt (* v v)>
#<alt (* (* v v) (+ 3/32 (* v (* v -9/64))))>
#<alt (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))>
#<alt (* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))>
#<alt (* v (* v (* v v)))>
#<alt (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)))>
#<alt (* (+ (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))) (sqrt 2))>
#<alt (+ (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))>
#<alt (/ 1 (+ (* (* v v) -5/8) 1/4))>
#<alt (+ (* (* v v) -5/8) 1/4)>
#<alt (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))>
#<alt (* (sqrt 2) (/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))))>
#<alt (/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))))>
#<alt (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))))>
#<alt (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))>
#<alt (* (sqrt 2) (/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4)))>
#<alt (/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4))>
#<alt (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16)>

Outputs
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -9/64 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* -5/8 (pow v 2))>
#<alt (* 3/32 (pow v 3))>
#<alt (* (pow v 3) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 3) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 3) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* -9/64 (pow v 5))>
#<alt (* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* -9/64 (pow v 5))>
#<alt (* -1 (* (pow v 5) (- 9/64 (* 3/32 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (- 9/64 (* 3/32 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (- 9/64 (* 3/32 (/ 1 (pow v 2))))))>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* -5/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (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 (* 3/32 (pow v 2))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))>
#<alt (* -9/64 (pow v 4))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* -9/64 (pow v 4))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))>
#<alt (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))>
#<alt (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (* 25/64 (pow v 4))>
#<alt (* (pow v 4) (+ 25/64 (* -15/128 (pow v 2))))>
#<alt (* (pow v 4) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))>
#<alt (* (pow v 4) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))>
#<alt (* 81/4096 (pow v 12))>
#<alt (* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>
#<alt (* 81/4096 (pow v 12))>
#<alt (* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt 4>
#<alt (+ 4 (* 10 (pow v 2)))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))>
#<alt (+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))>
#<alt (/ -8/5 (pow v 2))>
#<alt (* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -8/5 (pow v 2))>
#<alt (* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* -5/8 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt (* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -11/8 (sqrt 2)) (+ (* -25/16 (sqrt 2)) (* 3/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (+ (* -11/8 (sqrt 2)) (* (pow v 2) (- (* -9/32 (sqrt 2)) (+ (* -15/64 (sqrt 2)) (+ (* -9/64 (sqrt 2)) (* 5/2 (- (* -11/8 (sqrt 2)) (+ (* -25/16 (sqrt 2)) (* 3/32 (sqrt 2)))))))))) (+ (* -25/16 (sqrt 2)) (* 3/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (+ (* -1/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 5/8 (/ (sqrt 2) (pow v 4)))))))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (+ (* -1/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 1/2 (/ (sqrt 2) (pow v 6)))))) (+ (* -40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))) (+ (* -2/3 (/ (- (* -1/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 5/8 (/ (sqrt 2) (pow v 4))))))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (+ (* -1/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 5/8 (/ (sqrt 2) (pow v 4)))))))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (+ (* -1/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 1/2 (/ (sqrt 2) (pow v 6)))))) (+ (* -40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))) (+ (* -2/3 (/ (- (* -1/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 5/8 (/ (sqrt 2) (pow v 4))))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt -1/16>
#<alt (- (* 11/32 (pow v 4)) 1/16)>
#<alt (- (* (pow v 4) (+ 11/32 (* 9/128 (pow v 2)))) 1/16)>
#<alt (- (* (pow v 4) (+ 11/32 (* (pow v 2) (+ 9/128 (* -9/1024 (pow v 2)))))) 1/16)>
#<alt (* -81/4096 (pow v 12))>
#<alt (* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))>
#<alt (* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 9/1024 (pow v 4)))))>
#<alt (* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 9/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 9/1024 (pow v 4)))))>
#<alt (* -81/4096 (pow v 12))>
#<alt (* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))>
#<alt (* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 9/1024 (pow v 4)))))>
#<alt (* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 9/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 9/1024 (pow v 4)))))>
#<alt -1/4>
#<alt (- (* -5/8 (pow v 2)) 1/4)>
#<alt (- (* (pow v 2) (- (* -3/32 (pow v 2)) 5/8)) 1/4)>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* 9/64 (pow v 2)) 3/32)) 5/8)) 1/4)>
#<alt (* 9/64 (pow v 6))>
#<alt (* (pow v 6) (- 9/64 (* 3/32 (/ 1 (pow v 2)))))>
#<alt (* (pow v 6) (+ 9/64 (* -1 (/ (+ 3/32 (* 5/8 (/ 1 (pow v 2)))) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ 9/64 (* -1 (/ (+ 5/8 (* 1/4 (/ 1 (pow v 2)))) (pow v 4)))) (* 3/32 (/ 1 (pow v 2)))))>
#<alt (* 9/64 (pow v 6))>
#<alt (* (pow v 6) (- 9/64 (* 3/32 (/ 1 (pow v 2)))))>
#<alt (* (pow v 6) (+ 9/64 (* -1 (/ (+ 3/32 (* 5/8 (/ 1 (pow v 2)))) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ 9/64 (* -1 (/ (+ 5/8 (* 1/4 (/ 1 (pow v 2)))) (pow v 4)))) (* 3/32 (/ 1 (pow v 2)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* 3/32 (* (pow v 2) (sqrt 2))) (* 5/8 (sqrt 2)))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -9/64 (* (pow v 2) (sqrt 2))) (* -3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))>
#<alt (* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))>
#<alt (* -9/64 (* (pow v 6) (sqrt 2)))>
#<alt (* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))>
#<alt (* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))>
#<alt (* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 2)))>
#<alt (+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))>
#<alt (+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* -9/64 (pow v 6))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))>
#<alt (* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))>
#<alt -1/16>
#<alt (- (* 25/64 (pow v 4)) 1/16)>
#<alt (- (* (pow v 4) (+ 25/64 (* -15/128 (pow v 2)))) 1/16)>
#<alt (- (* (pow v 4) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128)))) 1/16)>
#<alt (* 81/4096 (pow v 12))>
#<alt (* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>
#<alt (* 81/4096 (pow v 12))>
#<alt (* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))>
#<alt (* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))>

Calls

69 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(* (sqrt 2) (/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))))
1.0ms	v	@	inf	(* (sqrt 2) (/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4)))
1.0ms	v	@	-inf	(/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4))
1.0ms	v	@	0	(* (sqrt 2) (/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))))
0.0ms	v	@	0	(* (sqrt 2) (/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4)))

rewrite1.7s (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4676×	`accelerator-lowering-fma.f32`
4676×	`accelerator-lowering-fma.f64`
4290×	`/-lowering-/.f32`
4290×	`/-lowering-/.f64`
4132×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	352
1	290	330
2	2829	330
0	8322	290

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1937

Calls

Call 1

Inputs
(* v (* v -9/64))
(* (* v v) -5/8)
(* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))
(* v (* v v))
(/ (sqrt 2) (/ 1 (+ (* (* v v) -5/8) 1/4)))
(sqrt 2)
(* v v)
(* (* v v) (+ 3/32 (* v (* v -9/64))))
(* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))
(* (sqrt 2) (+ 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64))))))))
(* v (* v (* v v)))
(* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)))
(* (+ (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))) (sqrt 2))
(+ (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))
(/ 1 (+ (* (* v v) -5/8) 1/4))
(+ (* (* v v) -5/8) 1/4)
(+ 1/4 (* (* v v) (+ -5/8 (* (* v v) (+ 3/32 (* v (* v -9/64)))))))
(* (sqrt 2) (/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))))
(/ (- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))) (- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))))
(- (* (* v (* v (* v v))) 25/64) (* (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))))))
(- (* (* v v) -5/8) (+ 1/4 (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64)))))))
(* (sqrt 2) (/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4)))
(/ (- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16) (- (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) 1/4))
(- (* (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8)) (+ (* v (* (* v (* v v)) (+ 3/32 (* v (* v -9/64))))) (* (* v v) -5/8))) 1/16)

Outputs
(.f64 v (.f64 v #s(literal -9/64 binary64)))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -9/64 binary64)) v)
(.f64 (.f64 v v) #s(literal -9/64 binary64))
(.f64 v (.f64 v #s(literal -5/8 binary64)))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(.f64 #s(literal -5/8 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -5/8 binary64)) v)
(+.f64 (.f64 v (.f64 v (.f64 v #s(literal 3/32 binary64)))) (.f64 v (.f64 v (.f64 v (.f64 #s(literal -9/64 binary64) (.f64 v v))))))
(+.f64 (.f64 v (.f64 v (.f64 v (.f64 #s(literal -9/64 binary64) (.f64 v v))))) (.f64 v (.f64 v (.f64 v #s(literal 3/32 binary64)))))
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simplify1.1s (5.2%)

Algorithm

1×	egg-herbie

Rules

14608×	`accelerator-lowering-fma.f32`
14608×	`accelerator-lowering-fma.f64`
7046×	`+-lowering-+.f64`
7046×	`+-lowering-+.f32`
3300×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	3661
1	897	3568
2	2682	3286
0	8495	3160

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -9/64 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* -5/8 (pow v 2))
(* 3/32 (pow v 3))
(* (pow v 3) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 3) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 3) (+ 3/32 (* -9/64 (pow v 2))))
(* -9/64 (pow v 5))
(* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 5) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* -9/64 (pow v 5))
(* -1 (* (pow v 5) (- 9/64 (* 3/32 (/ 1 (pow v 2))))))
(* -1 (* (pow v 5) (- 9/64 (* 3/32 (/ 1 (pow v 2))))))
(* -1 (* (pow v 5) (- 9/64 (* 3/32 (/ 1 (pow v 2))))))
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 3/32 (pow v 2))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* (pow v 2) (+ 3/32 (* -9/64 (pow v 2))))
(* -9/64 (pow v 4))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* -9/64 (pow v 4))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 4) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 3/32 (pow v 2)) 5/8))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(pow v 4)
(* 25/64 (pow v 4))
(* (pow v 4) (+ 25/64 (* -15/128 (pow v 2))))
(* (pow v 4) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128))))
(* (pow v 4) (+ 25/64 (* (pow v 2) (- (* (pow v 2) (+ 189/1024 (* -27/1024 (pow v 2)))) 15/128))))
(* 81/4096 (pow v 12))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(* 81/4096 (pow v 12))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* -9/64 (* (pow v 2) (sqrt 2))) (* 3/32 (sqrt 2)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/32 (/ (sqrt 2) (pow v 2))))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 1/4 (/ (sqrt 2) (pow v 6)))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
4
(+ 4 (* 10 (pow v 2)))
(+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))
(+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))
(/ -8/5 (pow v 2))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
(/ -8/5 (pow v 2))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* -5/8 (pow v 2)))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* -5/8 (pow v 2))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -11/8 (sqrt 2)) (+ (* -25/16 (sqrt 2)) (* 3/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (+ (* -11/8 (sqrt 2)) (* (pow v 2) (- (* -9/32 (sqrt 2)) (+ (* -15/64 (sqrt 2)) (+ (* -9/64 (sqrt 2)) (* 5/2 (- (* -11/8 (sqrt 2)) (+ (* -25/16 (sqrt 2)) (* 3/32 (sqrt 2)))))))))) (+ (* -25/16 (sqrt 2)) (* 3/32 (sqrt 2))))) (* 5/8 (sqrt 2)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (+ (* -1/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 5/8 (/ (sqrt 2) (pow v 4)))))))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (+ (* -1/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 1/2 (/ (sqrt 2) (pow v 6)))))) (+ (* -40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))) (+ (* -2/3 (/ (- (* -1/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 5/8 (/ (sqrt 2) (pow v 4))))))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (+ (* -1/16 (/ (sqrt 2) (pow v 4))) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 5/8 (/ (sqrt 2) (pow v 4)))))))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (+ (* -1/16 (/ (sqrt 2) (pow v 4))) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 1/2 (/ (sqrt 2) (pow v 6)))))) (+ (* -40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))) (+ (* -2/3 (/ (- (* -1/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 5/8 (/ (sqrt 2) (pow v 4))))))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
-1/16
(- (* 11/32 (pow v 4)) 1/16)
(- (* (pow v 4) (+ 11/32 (* 9/128 (pow v 2)))) 1/16)
(- (* (pow v 4) (+ 11/32 (* (pow v 2) (+ 9/128 (* -9/1024 (pow v 2)))))) 1/16)
(* -81/4096 (pow v 12))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 9/1024 (pow v 4)))))
(* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 9/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 9/1024 (pow v 4)))))
(* -81/4096 (pow v 12))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 9/1024 (pow v 4)))))
(* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 9/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 9/1024 (pow v 4)))))
-1/4
(- (* -5/8 (pow v 2)) 1/4)
(- (* (pow v 2) (- (* -3/32 (pow v 2)) 5/8)) 1/4)
(- (* (pow v 2) (- (* (pow v 2) (- (* 9/64 (pow v 2)) 3/32)) 5/8)) 1/4)
(* 9/64 (pow v 6))
(* (pow v 6) (- 9/64 (* 3/32 (/ 1 (pow v 2)))))
(* (pow v 6) (+ 9/64 (* -1 (/ (+ 3/32 (* 5/8 (/ 1 (pow v 2)))) (pow v 2)))))
(* (pow v 6) (- (+ 9/64 (* -1 (/ (+ 5/8 (* 1/4 (/ 1 (pow v 2)))) (pow v 4)))) (* 3/32 (/ 1 (pow v 2)))))
(* 9/64 (pow v 6))
(* (pow v 6) (- 9/64 (* 3/32 (/ 1 (pow v 2)))))
(* (pow v 6) (+ 9/64 (* -1 (/ (+ 3/32 (* 5/8 (/ 1 (pow v 2)))) (pow v 2)))))
(* (pow v 6) (- (+ 9/64 (* -1 (/ (+ 5/8 (* 1/4 (/ 1 (pow v 2)))) (pow v 4)))) (* 3/32 (/ 1 (pow v 2)))))
(* 1/4 (sqrt 2))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* 3/32 (* (pow v 2) (sqrt 2))) (* 5/8 (sqrt 2)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -9/64 (* (pow v 2) (sqrt 2))) (* -3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))
1/4
(+ 1/4 (* -5/8 (pow v 2)))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* -9/64 (pow v 6))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
-1/16
(- (* 25/64 (pow v 4)) 1/16)
(- (* (pow v 4) (+ 25/64 (* -15/128 (pow v 2)))) 1/16)
(- (* (pow v 4) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128)))) 1/16)
(* 81/4096 (pow v 12))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(* 81/4096 (pow v 12))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))

Outputs
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -9/64 (pow v 2))
(.f64 #s(literal -9/64 binary64) (.f64 v v))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* -5/8 (pow v 2))
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(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (+.f64 (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64)))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (+.f64 #s(literal -9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v)) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (+.f64 (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64)))))))
-1/16
#s(literal -1/16 binary64)
(- (* 11/32 (pow v 4)) 1/16)
(+.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 11/32 binary64)))
(- (* (pow v 4) (+ 11/32 (* 9/128 (pow v 2)))) 1/16)
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(- (* (pow v 4) (+ 11/32 (* (pow v 2) (+ 9/128 (* -9/1024 (pow v 2)))))) 1/16)
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(* -81/4096 (pow v 12))
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(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 27/1024 binary64) (.f64 v v)) #s(literal -81/4096 binary64)))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 9/1024 (pow v 4)))))
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(* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 9/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 9/1024 (pow v 4)))))
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(* -81/4096 (pow v 12))
(*.f64 (pow.f64 v #s(literal 12 binary64)) #s(literal -81/4096 binary64))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) 81/4096))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 27/1024 binary64) (.f64 v v)) #s(literal -81/4096 binary64)))
(* (pow v 12) (- (* 27/1024 (/ 1 (pow v 2))) (+ 81/4096 (/ 9/1024 (pow v 4)))))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal -81/4096 binary64) (+.f64 (/.f64 #s(literal -9/1024 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 27/1024 binary64) (*.f64 v v)))))
(* (pow v 12) (- (+ (* 27/1024 (/ 1 (pow v 2))) (* 9/128 (/ 1 (pow v 6)))) (+ 81/4096 (/ 9/1024 (pow v 4)))))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal -81/4096 binary64) (+.f64 (/.f64 #s(literal -9/1024 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 #s(literal 27/1024 binary64) (*.f64 v v)) (/.f64 #s(literal 9/128 binary64) (pow.f64 v #s(literal 6 binary64)))))))
-1/4
#s(literal -1/4 binary64)
(- (* -5/8 (pow v 2)) 1/4)
(+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal -1/4 binary64))
(- (* (pow v 2) (- (* -3/32 (pow v 2)) 5/8)) 1/4)
(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v #s(literal -3/32 binary64))))))
(- (* (pow v 2) (- (* (pow v 2) (- (* 9/64 (pow v 2)) 3/32)) 5/8)) 1/4)
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(* 9/64 (pow v 6))
(*.f64 #s(literal 9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- 9/64 (* 3/32 (/ 1 (pow v 2)))))
(*.f64 (-.f64 #s(literal 9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v)) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (+ 9/64 (* -1 (/ (+ 3/32 (* 5/8 (/ 1 (pow v 2)))) (pow v 2)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/8 binary64) (.f64 v v))) (*.f64 v v))))
(* (pow v 6) (- (+ 9/64 (* -1 (/ (+ 5/8 (* 1/4 (/ 1 (pow v 2)))) (pow v 4)))) (* 3/32 (/ 1 (pow v 2)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v)) (/.f64 (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (.f64 (.f64 v v) (*.f64 v v)))))
(* 9/64 (pow v 6))
(*.f64 #s(literal 9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- 9/64 (* 3/32 (/ 1 (pow v 2)))))
(*.f64 (-.f64 #s(literal 9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v)) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (+ 9/64 (* -1 (/ (+ 3/32 (* 5/8 (/ 1 (pow v 2)))) (pow v 2)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 #s(literal 9/64 binary64) (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/8 binary64) (.f64 v v))) (*.f64 v v))))
(* (pow v 6) (- (+ 9/64 (* -1 (/ (+ 5/8 (* 1/4 (/ 1 (pow v 2)))) (pow v 4)))) (* 3/32 (/ 1 (pow v 2)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v)) (/.f64 (+.f64 #s(literal 5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (.f64 (.f64 v v) (*.f64 v v)))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
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(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* 3/32 (* (pow v 2) (sqrt 2))) (* 5/8 (sqrt 2)))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v #s(literal 3/32 binary64)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -9/64 (* (pow v 2) (sqrt 2))) (* -3/32 (sqrt 2)))) (* 5/8 (sqrt 2)))))
(+.f64 (.f64 (.f64 v v) (.f64 (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (.f64 #s(literal -9/64 binary64) (.f64 v v)) #s(literal 3/32 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -21/16 binary64)) (.f64 (.f64 v v) (.f64 v v))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal -11/16 binary64)))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/16 binary64) (.f64 v v)))) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal 5/6 binary64)) (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal -5/4 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/4 binary64)) (/.f64 (.f64 #s(literal 5/12 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 v #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2/3 binary64)) (pow.f64 v #s(literal 6 binary64))))))))
(* -9/64 (* (pow v 6) (sqrt 2)))
(.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 #s(literal -9/64 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* (pow v 6) (- (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2)))) (* 3/32 (/ (sqrt 2) (pow v 2)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (* 3/16 (/ (sqrt 2) (pow v 2))))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (* 3/32 (/ (sqrt 2) (pow v 2)))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -21/16 binary64)) (.f64 (.f64 v v) (.f64 v v))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal -11/16 binary64)))))
(* (pow v 6) (- (+ (* -21/16 (/ (sqrt 2) (pow v 4))) (+ (* -9/64 (sqrt 2)) (+ (* 3/16 (/ (sqrt 2) (pow v 2))) (* 5/6 (/ (sqrt 2) (pow v 6)))))) (+ (* -2/3 (/ (- (* -21/16 (sqrt 2)) (+ (* -2/3 (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2)))) (* -5/8 (sqrt 2)))) (pow v 6))) (+ (* -2/3 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 4))) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* -1/4 (/ (sqrt 2) (pow v 6))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 40/9 (/ (- (* 3/16 (sqrt 2)) (* 3/32 (sqrt 2))) (pow v 6))))))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/64 binary64) (/.f64 #s(literal 3/16 binary64) (.f64 v v)))) (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal 5/6 binary64)) (-.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal -5/4 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/4 binary64)) (/.f64 (.f64 #s(literal 5/12 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 v #s(literal 6 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v)))))) (/.f64 (.f64 (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -2/3 binary64)) (pow.f64 v #s(literal 6 binary64))))))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* (pow v 2) (- (* 3/32 (pow v 2)) 5/8)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v #s(literal 3/32 binary64))))))
(+ 1/4 (* (pow v 2) (- (* (pow v 2) (+ 3/32 (* -9/64 (pow v 2)))) 5/8)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 (.f64 #s(literal -9/64 binary64) (.f64 v v)) #s(literal 3/32 binary64))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (+.f64 #s(literal -9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v)) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (+.f64 (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64)))))))
(* -9/64 (pow v 6))
(*.f64 #s(literal -9/64 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) 9/64))
(*.f64 (+.f64 #s(literal -9/64 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) v) v)) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* 3/32 (/ 1 (pow v 2))) (+ 9/64 (/ 5/8 (pow v 4)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))))))
(* (pow v 6) (- (+ (* 3/32 (/ 1 (pow v 2))) (* 1/4 (/ 1 (pow v 6)))) (+ 9/64 (/ 5/8 (pow v 4)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal -9/64 binary64) (+.f64 (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) v) v) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64)))))))
-1/16
#s(literal -1/16 binary64)
(- (* 25/64 (pow v 4)) 1/16)
(+.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 25/64 binary64)) #s(literal -1/16 binary64))
(- (* (pow v 4) (+ 25/64 (* -15/128 (pow v 2)))) 1/16)
(+.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal 25/64 binary64) (.f64 v (.f64 v #s(literal -15/128 binary64))))) #s(literal -1/16 binary64))
(- (* (pow v 4) (+ 25/64 (* (pow v 2) (- (* 189/1024 (pow v 2)) 15/128)))) 1/16)
(+.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal 25/64 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -15/128 binary64) (.f64 v (.f64 v #s(literal 189/1024 binary64))))))) #s(literal -1/16 binary64))
(* 81/4096 (pow v 12))
(*.f64 #s(literal 81/4096 binary64) (pow.f64 v #s(literal 12 binary64)))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (.f64 v v))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal 81/4096 binary64) (+.f64 (/.f64 #s(literal 189/1024 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal 81/4096 binary64) (-.f64 (+.f64 (/.f64 #s(literal 189/1024 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v))) (/.f64 #s(literal 15/128 binary64) (pow.f64 v #s(literal 6 binary64))))))
(* 81/4096 (pow v 12))
(*.f64 #s(literal 81/4096 binary64) (pow.f64 v #s(literal 12 binary64)))
(* (pow v 12) (- 81/4096 (* 27/1024 (/ 1 (pow v 2)))))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal 81/4096 binary64) (/.f64 #s(literal -27/1024 binary64) (.f64 v v))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (* 27/1024 (/ 1 (pow v 2)))))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal 81/4096 binary64) (+.f64 (/.f64 #s(literal 189/1024 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v)))))
(* (pow v 12) (- (+ 81/4096 (/ 189/1024 (pow v 4))) (+ (* 27/1024 (/ 1 (pow v 2))) (* 15/128 (/ 1 (pow v 6))))))
(.f64 (pow.f64 v #s(literal 12 binary64)) (+.f64 #s(literal 81/4096 binary64) (-.f64 (+.f64 (/.f64 #s(literal 189/1024 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal -27/1024 binary64) (*.f64 v v))) (/.f64 #s(literal 15/128 binary64) (pow.f64 v #s(literal 6 binary64))))))

eval2.9s (14.3%)

Compiler: Compiled 266498 to 147655 computations (44.6% saved)

prune739.0ms (3.7%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	3164	5	3169
Fresh	0	0	0
Picked	3	2	5
Done	1	4	5
Total	3168	11	3179

Accuracy

100.0%

Counts

3179 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
✓	100.0%	(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
✓	99.5%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
	99.7%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v (+.f64 (.f64 #s(literal -9/64 binary64) (.f64 v v)) #s(literal 3/32 binary64))))))))))
✓	99.2%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
	98.2%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
	98.2%	(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
	99.7%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal 11/32 binary64) (.f64 (.f64 v v) #s(literal 9/128 binary64))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
✓	99.7%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
✓	99.6%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
✓	99.5%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))

Compiler

Compiled 769 to 501 computations (34.9% saved)

regimes13.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v (+.f64 (.f64 #s(literal -9/64 binary64) (.f64 v v)) #s(literal 3/32 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) #s(literal -9/8 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal 11/32 binary64) (.f64 (.f64 v v) #s(literal 9/128 binary64))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64)))) #s(literal 1/16 binary64)) (-.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) #s(literal 1/4 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))

Outputs

(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))

Calls

3 calls:

6.0ms

2.0ms

(*.f64 v v)

1.0ms

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes13.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v (+.f64 (.f64 #s(literal -9/64 binary64) (.f64 v v)) #s(literal 3/32 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) #s(literal -9/8 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal 11/32 binary64) (.f64 (.f64 v v) #s(literal 9/128 binary64))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64)))) #s(literal 1/16 binary64)) (-.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) #s(literal 1/4 binary64))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Outputs

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Calls

3 calls:

6.0ms

2.0ms

(*.f64 v v)

1.0ms

(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes16.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v (+.f64 (.f64 #s(literal -9/64 binary64) (.f64 v v)) #s(literal 3/32 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) #s(literal -9/8 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))))
(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -9/8 binary64) (.f64 (.f64 v v) #s(literal -27/16 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal 11/32 binary64) (.f64 (.f64 v v) #s(literal 9/128 binary64))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64))))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 25/64 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))) (-.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64))))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64)))) #s(literal 1/16 binary64)) (-.f64 (+.f64 (.f64 v (.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal 3/32 binary64) (.f64 v (.f64 v #s(literal -9/64 binary64)))))) (.f64 (.f64 v v) #s(literal -5/8 binary64))) #s(literal 1/4 binary64))))

Outputs

(*.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal -5/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))) (sqrt.f64 #s(literal 2 binary64)))

Calls

2 calls:

12.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.7%	1	`v`
99.7%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes6.0ms (0%)

Counts

13 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (+.f64 #s(literal -5/8 binary64) (.f64 v (.f64 v (+.f64 (.f64 #s(literal -9/64 binary64) (.f64 v v)) #s(literal 3/32 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -3/2 binary64) (.f64 (.f64 v v) #s(literal -9/8 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (+.f64 #s(literal 3/32 binary64) (.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 #s(literal 3/32 binary64) (.f64 (.f64 v v) #s(literal -9/64 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))))

Outputs

(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal -5/8 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 3/32 binary64) (*.f64 v (*.f64 v #s(literal -9/64 binary64)))))))))

Calls

2 calls:

4.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.7%	1	`v`
99.7%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes6.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 (.f64 v v) #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -3/2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))

Outputs
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (+.f64 #s(literal -5/8 binary64) (.f64 (*.f64 v v) #s(literal 3/32 binary64))))))

Calls

2 calls:

4.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.6%	1	`v`
99.6%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))

Outputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))

Calls

2 calls:

2.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.5%	1	`v`
99.5%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))

Outputs
(.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))

Calls

2 calls:

1.0ms	v
1.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.5%	1	`v`
99.5%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))

Outputs
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`v`

Compiler

Compiled 2 to 1 computations (50% saved)

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 129 to 88 computations (31.8% saved)

preprocess69.0ms (0.3%)

Remove: (abs v)
Compiler: Compiled 658 to 476 computations (27.7% saved)

analyze6.0ms (0%)

sample1.2s (6%)

preprocess603.0ms (3%)

explain226.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize556.0ms (2.8%)

series16.0ms (0.1%)

rewrite592.0ms (2.9%)

simplify771.0ms (3.8%)

eval149.0ms (0.7%)

prune74.0ms (0.4%)

localize1.1s (5.2%)

series29.0ms (0.1%)

rewrite910.0ms (4.5%)

simplify749.0ms (3.7%)

eval758.0ms (3.7%)

prune852.0ms (4.2%)

localize345.0ms (1.7%)

series23.0ms (0.1%)

rewrite984.0ms (4.9%)

simplify794.0ms (3.9%)

eval424.0ms (2.1%)

prune250.0ms (1.2%)

localize2.3s (11.2%)

series38.0ms (0.2%)

rewrite1.7s (8.5%)

simplify1.1s (5.2%)

eval2.9s (14.3%)

prune739.0ms (3.7%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes16.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

soundness2.0ms (0%)

preprocess69.0ms (0.3%)

end0.0ms (0%)

Profiling