Metrics for Falkner and Boettcher, Appendix B, 2

analyze4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

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)

sample1.6s (16.1%)

Memory

-6.7MiB live, 1 503.5MiB allocated

Samples

1.2s	8 256×	0	valid
12.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 918.0ms

ival-mult: 409.0ms (44.6% of total)

ival-sqrt: 295.0ms (32.1% of total)

ival-div: 114.0ms (12.4% of total)

ival-sub: 76.0ms (8.3% of total)

exact: 15.0ms (1.6% of total)

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

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess409.0ms (4.1%)

Memory

32.0MiB live, 436.4MiB allocated

Algorithm

2×	egg-herbie

Rules

7 438×	`accelerator-lowering-fma.f32`
7 438×	`accelerator-lowering-fma.f64`
3 206×	`-lowering-.f32`
3 206×	`-lowering-.f64`
1 088×	`+-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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 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) 1/4) (* (sqrt (+ 1 (* v (* v -3)))) (- 1 (* v v))))
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v))))
(* (* (sqrt 2) 1/4) (* (sqrt (+ 1 (* v (* v -3)))) (- 1 (* v v))))
(neg (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (neg v) (neg v)))))) (- 1 (* (neg v) (neg v)))))
(* (* (sqrt 2) 1/4) (* (sqrt (+ 1 (* v (* v -3)))) (+ (* v v) -1)))

Symmetry

(abs v)

explain167.0ms (1.7%)

Memory

-43.6MiB live, 362.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

48.0ms

512×

valid

Compiler

Compiled 186 to 60 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 13.0ms (43.7% of total)

ival-sqrt: 7.0ms (23.5% of total)

ival-sub: 5.0ms (16.8% of total)

ival-div: 4.0ms (13.4% of total)

exact: 1.0ms (3.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.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)))

Status

Accuracy

Program

▶

100.0%

(*.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)))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify235.0ms (2.3%)

Memory

24.8MiB live, 459.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	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)))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
✓	cost-diff	128	(.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)))
✓	cost-diff	384	(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))

Rules

7 438×	`accelerator-lowering-fma.f32`
7 438×	`accelerator-lowering-fma.f64`
3 206×	`-lowering-.f32`
3 206×	`-lowering-.f64`
1 088×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	36	71
2	88	71
3	219	71
4	646	71
5	1458	71
6	2003	71
7	3601	71
8	4895	71
9	6414	71
10	7378	71
0	8003	66

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize48.0ms (0.5%)

Memory

-16.1MiB live, 100.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	100.0%	(.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)))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 v v))

Samples

32.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

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

ival-mult: 15.0ms (64.3% of total)

ival-sqrt: 4.0ms (17.1% of total)

ival-div: 2.0ms (8.6% of total)

ival-sub: 2.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

6 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms	v	@	0	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
1.0ms	v	@	-inf	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0ms	v	@	inf	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0ms	v	@	inf	(* 3 (* v v))

rewrite282.0ms (2.8%)

Memory

-38.1MiB live, 661.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 304×	`accelerator-lowering-fma.f32`
4 304×	`accelerator-lowering-fma.f64`
4 064×	`-lowering-.f32`
4 064×	`-lowering-.f64`
2 112×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	71	48
2	483	48
3	4843	48
0	8493	44

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 416

Calls

Call 1

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

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

simplify511.0ms (5.1%)

Memory

20.1MiB live, 925.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 316×	`accelerator-lowering-fma.f32`
19 316×	`accelerator-lowering-fma.f64`
5 488×	`-lowering-.f32`
5 488×	`-lowering-.f64`
3 018×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	862
1	431	833
2	1700	784
3	4809	723
0	8347	691

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 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)))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3/32 binary64) #s(literal -5/8 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)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -9/16 binary64) #s(literal 3/8 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal -1/4 binary64) (.f64 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)))))
(.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 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))) (* 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)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 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))) (+ (* 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 v (.f64 (.f64 v v) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 #s(literal -3 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.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/4 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))))))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v v))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v (neg.f64 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 #s(literal 1/4 binary64) (.f64 v (.f64 v v))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (*.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 v (.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 #s(literal -3 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.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))))) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 (.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 (.f64 v v) #s(literal -3 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -27/64 binary64) #s(literal -9/32 binary64)) #s(literal -3/8 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (/.f64 #s(literal -1/32 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 v v) (.f64 v v))))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (/.f64 #s(literal -1/32 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 v v) (.f64 v v))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(neg.f64 (.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(neg.f64 (.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (/.f64 #s(literal -1/32 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 v v) (.f64 v v)))))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(.f64 v (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 v v)) (/.f64 #s(literal -1/32 binary64) (.f64 #s(literal -3 binary64) (.f64 (.f64 v v) (.f64 v v)))))))))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))
(* 3 (pow v 2))
(.f64 (.f64 v v) #s(literal 3 binary64))

eval59.0ms (0.6%)

Memory: 31.4MiB live, 186.9MiB allocated
Compiler: Compiled 13 888 to 1 585 computations (88.6% saved)

prune73.0ms (0.7%)

Memory

1.5MiB live, 158.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	457	7	464
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	458	7	465

Accuracy

100.0%

Counts

465 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3/32 binary64) #s(literal -5/8 binary64)))))
	98.4%	(.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 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%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	99.6%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	98.9%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.3%	(.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	98.8%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 224 to 154 computations (31.3% saved)

simplify627.0ms (6.2%)

Memory

15.3MiB live, 1 243.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	320	(.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
✓	cost-diff	128	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))

Rules

31 012×	`accelerator-lowering-fma.f32`
31 012×	`accelerator-lowering-fma.f64`
6 184×	`-lowering-.f32`
6 184×	`-lowering-.f64`
3 730×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	220
1	86	220
2	274	218
3	912	218
4	3187	218
5	6118	218
0	8487	202

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize110.0ms (1.1%)

Memory

-12.1MiB live, 282.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 v v))

Samples

59.0ms

256×

valid

Compiler

Compiled 212 to 31 computations (85.4% saved)

Precisions

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

ival-mult: 30.0ms (72.5% of total)

ival-add: 4.0ms (9.7% of total)

ival-sqrt: 4.0ms (9.7% of total)

ival-sub: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

series10.0ms (0.1%)

Memory

-15.0MiB live, 22.9MiB allocated

Counts

16 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite438.0ms (4.3%)

Memory

-14.2MiB live, 1 107.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 166×	`accelerator-lowering-fma.f32`
6 166×	`accelerator-lowering-fma.f64`
5 260×	`-lowering-.f32`
5 260×	`-lowering-.f64`
3 710×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	152
1	150	152
2	1161	150
0	8639	138

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 942

Calls

Call 1

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

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

simplify625.0ms (6.2%)

Memory

19.0MiB live, 1 122.3MiB allocated

Algorithm

1×	egg-herbie

Rules

25 458×	`accelerator-lowering-fma.f32`
25 458×	`accelerator-lowering-fma.f64`
5 810×	`-lowering-.f32`
5 810×	`-lowering-.f64`
4 512×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	2045
1	676	1924
2	2413	1828
3	5965	1810
0	8078	1703

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #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)))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (.f64 v v) #s(literal 3/32 binary64) #s(literal -5/8 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)))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 v (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 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)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 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))) (* 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)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal 2 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))) (+ (* 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)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 v (.f64 v v)) (.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (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 v (.f64 v v)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (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))) (* 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)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (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))) (+ (* 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)) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 v v)))))))
1
#s(literal 1 binary64)
(+ 1 (* -3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(+ 1 (* -3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 v (.f64 v #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* -3 (pow v 2))
(.f64 v (.f64 v #s(literal -3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 3))
(fma.f64 v (*.f64 v #s(literal -3 binary64)) #s(literal 1 binary64))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (.f64 v v) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (.f64 v v) #s(literal -27/64 binary64) #s(literal -9/32 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v)))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) v))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(fma.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 v (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(fma.f64 v (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal -1/96 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) (sqrt.f64 #s(literal -3 binary64))))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(.f64 v (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1/64 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal -1/96 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (sqrt.f64 #s(literal -3 binary64)))))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(+ (* -1/4 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(* -1/4 (* (pow v 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 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)) (fma.f64 (.f64 v v) #s(literal -1/4 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)) (fma.f64 (.f64 v v) #s(literal -1/4 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)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(* -1/4 (* (pow v 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 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)) (fma.f64 (.f64 v v) #s(literal -1/4 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)) (fma.f64 (.f64 v v) #s(literal -1/4 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)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 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 v (neg.f64 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 v (neg.f64 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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) 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)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(.f64 (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(.f64 (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* -5/2 (* (pow v 2) (sqrt 2))))
(.f64 (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* -5/2 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/2 binary64))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/2 binary64)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/2 binary64)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/2 binary64)))
(* -5/2 (* (pow v 2) (sqrt 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/2 binary64))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/2 binary64)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/2 binary64)))
(* (pow v 2) (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) (pow v 2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) #s(literal -5/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -5/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(+ 1 (* -5/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(+ 1 (* -5/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(* -5/2 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/2 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(* -5/2 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/2 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5/2))
(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 3/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (.f64 v v) #s(literal 3/32 binary64) #s(literal -5/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -5/8 (sqrt 2)) (* (pow v 2) (+ (* 3/32 (sqrt 2)) (* 9/32 (* (pow v 2) (sqrt 2))))))))
(fma.f64 (.f64 v v) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) v) (fma.f64 (.f64 v v) #s(literal 9/32 binary64) #s(literal 3/32 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))))
(* 9/32 (* (pow v 6) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 9/32 binary64)))
(* (pow v 6) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 v v)) #s(literal 9/32 binary64))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 v v)) #s(literal 9/32 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (.f64 (.f64 v v) (.f64 v v)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 9/32 (sqrt 2))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 v v)) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 9/32 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64)))))))
(* 9/32 (* (pow v 6) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 9/32 binary64)))
(* (pow v 6) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 v v)) #s(literal 9/32 binary64))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (* 9/32 (sqrt 2)))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 v v)) #s(literal 9/32 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (.f64 (.f64 v v) (.f64 v v)))))
(* (pow v 6) (+ (* -5/8 (/ (sqrt 2) (pow v 4))) (+ (* 3/32 (/ (sqrt 2) (pow v 2))) (+ (* 1/4 (/ (sqrt 2) (pow v 6))) (* 9/32 (sqrt 2))))))
(.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 v v)) (/.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (.f64 v v)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 9/32 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 v #s(literal 6 binary64)))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)))))
(* -9/32 (* (pow v 4) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal -9/32 binary64)))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (* -9/32 (sqrt 2))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v)))))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))
(* -9/32 (* (pow v 4) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal -9/32 binary64)))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (* -9/32 (sqrt 2))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v)))))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))
(* (pow v 4) (+ (* -3/8 (/ (sqrt 2) (pow v 2))) (+ (* -9/32 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 4))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -3/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* (pow v 2) (- (* -9/32 (pow v 2)) 3/8)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64))) #s(literal 1/4 binary64))
(+ 1/4 (* (pow v 2) (- (* -9/32 (pow v 2)) 3/8)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64))) #s(literal 1/4 binary64))
(* -9/32 (pow v 4))
(.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -9/32 binary64))
(* -1 (* (pow v 4) (+ 9/32 (* 3/8 (/ 1 (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 v v))))
(* (pow v 4) (- (/ 1/4 (pow v 4)) (+ 9/32 (* 3/8 (/ 1 (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v)))))
(* (pow v 4) (- (/ 1/4 (pow v 4)) (+ 9/32 (* 3/8 (/ 1 (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v)))))
(* -9/32 (pow v 4))
(.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -9/32 binary64))
(* -1 (* (pow v 4) (+ 9/32 (* 3/8 (/ 1 (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 v v))))
(* (pow v 4) (- (/ 1/4 (pow v 4)) (+ 9/32 (* 3/8 (/ 1 (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v)))))
(* (pow v 4) (- (/ 1/4 (pow v 4)) (+ 9/32 (* 3/8 (/ 1 (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal -9/32 binary64) (/.f64 #s(literal -3/8 binary64) (.f64 v v)))))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))
(* 3 (pow v 2))
(.f64 v (.f64 v #s(literal 3 binary64)))

eval252.0ms (2.5%)

Memory: 11.2MiB live, 490.7MiB allocated
Compiler: Compiled 47 842 to 2 898 computations (93.9% saved)

prune185.0ms (1.8%)

Memory

-26.1MiB live, 385.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 370	4	1 374
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	1 376	5	1 381

Accuracy

100.0%

Counts

1 381 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
▶	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
▶	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.3%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
✓	98.8%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 66 to 49 computations (25.8% saved)

simplify187.0ms (1.9%)

Memory

29.7MiB live, 300.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	1408	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 v v))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
✓	cost-diff	320	(.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
✓	cost-diff	128	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))

Rules

4 086×	`accelerator-lowering-fma.f32`
4 086×	`accelerator-lowering-fma.f64`
2 708×	`-lowering-.f32`
2 708×	`-lowering-.f64`
1 676×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	201
1	74	193
2	184	193
3	472	193
4	1248	193
5	1968	193
6	3063	193
7	4281	193
8	5675	193
9	6928	193
10	7990	193
0	8151	177

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* (sqrt 2) (+ (* (* v v) -5/8) 1/4))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (* v v) -5/8) 1/4)
(fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
(* v v)
(*.f64 v v)
v
-5/8
#s(literal -5/8 binary64)
1/4
#s(literal 1/4 binary64)
(* (* (* (sqrt 2) 1/4) (sqrt (+ (* (* v v) -3) 1))) (- 1 (* v v)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(* (* (sqrt 2) 1/4) (sqrt (+ (* (* v v) -3) 1)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(* (sqrt 2) 1/4)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(sqrt (+ (* (* v v) -3) 1))
(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
(+ (* (* v v) -3) 1)
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
(* v v)
(*.f64 v v)
v
-3
#s(literal -3 binary64)
1
#s(literal 1 binary64)
(- 1 (* v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
(* (- 1 (* v v)) (* 1/4 (sqrt (* 2 (+ (* (* v v) -3) 1)))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))
(- 1 (* v v))
(fma.f64 v (neg.f64 v) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* v v)
(*.f64 v v)
v
(* 1/4 (sqrt (* 2 (+ (* (* v v) -3) 1))))
(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
1/4
#s(literal 1/4 binary64)
(sqrt (* 2 (+ (* (* v v) -3) 1)))
(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(* 2 (+ (* (* v v) -3) 1))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (* v v) -3) 1)
(fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))
-3
#s(literal -3 binary64)
(/ (* (sqrt 2) 1/4) (/ 1 (+ (* (* v v) -5/2) 1)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(* (sqrt 2) 1/4)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(/ 1 (+ (* (* v v) -5/2) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/2 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* (* v v) -5/2) 1)
(fma.f64 v (*.f64 v #s(literal -5/2 binary64)) #s(literal 1 binary64))
(* v v)
(*.f64 v v)
v
-5/2
#s(literal -5/2 binary64)

localize103.0ms (1%)

Memory

-23.6MiB live, 219.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	100.0%	(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 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)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 193 to 29 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 22.0ms (61.8% of total)

ival-sqrt: 5.0ms (14% of total)

ival-add: 4.0ms (11.2% of total)

ival-div: 3.0ms (8.4% of total)

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

exact: 1.0ms (2.8% of total)

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

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

series7.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

15 → 156

Calls

Call 1

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

Outputs
#<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 1/4>
#<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 (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 1/4 (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 (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))>
#<alt 2>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (+ 2 (* -6 (pow v 2)))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* -6 (pow v 2))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))>
#<alt (* 1/4 (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 (* -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 (+ (* -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 (* 5/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (+ 5/2 (* 25/4 (pow v 2)))))>
#<alt (+ 1 (* (pow v 2) (+ 5/2 (* (pow v 2) (+ 25/4 (* 125/8 (pow v 2)))))))>
#<alt (/ -2/5 (pow v 2))>
#<alt (* -1 (/ (+ 2/5 (* 4/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 4/25 (* 8/125 (/ 1 (pow v 2)))) (pow v 2))) 2/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 8/125 (* 16/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 2/5 (* 4/25 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ -2/5 (pow v 2))>
#<alt (* -1 (/ (+ 2/5 (* 4/25 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ 4/25 (* 8/125 (/ 1 (pow v 2)))) (pow v 2))) 2/5) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ 8/125 (* 16/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 2/5 (* 4/25 (/ 1 (pow v 2))))) (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) (* -3/2 (* (pow v 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))>
#<alt (* v (* (sqrt -3) (sqrt 2)))>
#<alt (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))>
#<alt (* 1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1/4 (* v (* (sqrt -3) (sqrt 2))))>
#<alt (* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))>
#<alt (* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))>

Calls

39 calls:

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

rewrite808.0ms (8%)

Memory

-118.9MiB live, 665.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 386×	`accelerator-lowering-fma.f32`
8 386×	`accelerator-lowering-fma.f64`
6 230×	`-lowering-.f32`
6 230×	`-lowering-.f64`
3 648×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	145
1	142	127
2	977	127
0	8488	116

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 080

Calls

Call 1

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

Outputs
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(+.f64 (.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)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 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 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 v (.f64 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 (.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 (.f64 v v) (.f64 #s(literal 1 binary64) (.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 v (.f64 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 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 #s(literal 1 binary64) (.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 #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1/4 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 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 (.f64 (sqrt.f64 #s(literal 2 binary64)) 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)))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v #s(literal -5/8 binary64))) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 (.f64 v v) #s(literal -5/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) #s(literal -5/8 binary64)) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) v) v (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) #s(literal 1 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) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64)))))) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal 5/32 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (*.f64 v v) #s(literal -125/512 binary64)) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal 25/64 binary64)) #s(literal -1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal 5/32 binary64))) (.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (*.f64 v v) #s(literal -125/512 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal 25/64 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64)))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal -125/512 binary64)) #s(literal 1/64 binary64))) (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 v v) #s(literal 5/32 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal -125/512 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal -5/32 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal -1/16 binary64))) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal -125/512 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 v v) #s(literal 5/32 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal -125/512 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal -5/32 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal -125/512 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 v v) #s(literal 5/32 binary64)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal -1/16 binary64)))) (fma.f64 (*.f64 v v) #s(literal 5/8 binary64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal -125/512 binary64)) #s(literal 1/64 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal 1/16 binary64)) (.f64 (*.f64 v v) #s(literal 5/32 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 v v) #s(literal 5/8 binary64) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64))) (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (*.f64 v v) #s(literal -5/8 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) #s(literal -5/8 binary64)))))
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(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal 3 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal 3 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 v v) #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal -1 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 v v) #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal 3 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 v v) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -27 binary64)) #s(literal 1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 v v) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9 binary64))) #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
(.f64 (pow.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

simplify555.0ms (5.5%)

Memory

17.2MiB live, 979.0MiB allocated

Algorithm

1×	egg-herbie

Rules

23 848×	`accelerator-lowering-fma.f32`
23 848×	`accelerator-lowering-fma.f64`
6 244×	`-lowering-.f32`
6 244×	`-lowering-.f64`
4 750×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	2705
1	784	2599
2	2838	2444
3	7482	2444
0	8326	2326

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* 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)))))
1/4
(+ 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))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 1/4 (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))))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
2
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(+ 2 (* -6 (pow v 2)))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* -6 (pow v 2))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* (pow v 2) (- (* 2 (/ 1 (pow v 2))) 6))
(* 1/4 (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 (* -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)))
(+ (* -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 (* 5/2 (pow v 2)))
(+ 1 (* (pow v 2) (+ 5/2 (* 25/4 (pow v 2)))))
(+ 1 (* (pow v 2) (+ 5/2 (* (pow v 2) (+ 25/4 (* 125/8 (pow v 2)))))))
(/ -2/5 (pow v 2))
(* -1 (/ (+ 2/5 (* 4/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 4/25 (* 8/125 (/ 1 (pow v 2)))) (pow v 2))) 2/5) (pow v 2))
(/ (- (* -1 (/ (+ 8/125 (* 16/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 2/5 (* 4/25 (/ 1 (pow v 2))))) (pow v 2))
(/ -2/5 (pow v 2))
(* -1 (/ (+ 2/5 (* 4/25 (/ 1 (pow v 2)))) (pow v 2)))
(/ (- (* -1 (/ (+ 4/25 (* 8/125 (/ 1 (pow v 2)))) (pow v 2))) 2/5) (pow v 2))
(/ (- (* -1 (/ (+ 8/125 (* 16/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 2/5 (* 4/25 (/ 1 (pow v 2))))) (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) (* -3/2 (* (pow v 2) (sqrt 2))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -9/8 (* (pow v 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* (pow v 2) (+ (* -27/16 (* (pow v 2) (sqrt 2))) (* -9/8 (sqrt 2)))))))
(* v (* (sqrt -3) (sqrt 2)))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))

Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -5/8 binary64) (*.f64 v v)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 #s(literal -5/8 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* -5/8 (pow v 2))
(.f64 #s(literal -5/8 binary64) (.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* -5/8 (pow v 2))
(.f64 #s(literal -5/8 binary64) (.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(.f64 (.f64 (+.f64 #s(literal -5/8 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))) v) v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (+ (* -3/2 (sqrt 2)) (* -1 (sqrt 2))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 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) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 v v) #s(literal -5/2 binary64))) (.f64 v v) (sqrt.f64 #s(literal 2 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)))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -5/8 binary64) (.f64 v v) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -9/16 binary64) (.f64 v v) #s(literal 3/8 binary64))))))
(* -1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 v (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 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)) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 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))) (* 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)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal 2 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))) (+ (* 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 v (.f64 (.f64 v v) (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(* 1/4 (* (pow v 3) (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 v (.f64 v v)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (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 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 v v)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (.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)))))))
(neg.f64 (.f64 (.f64 v (.f64 v v)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 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))) (+ (* 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)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (.f64 v v)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal 11/24 binary64) (.f64 v v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (pow.f64 v #s(literal 6 binary64))))) (.f64 (sqrt.f64 #s(literal -3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -27/64 binary64) #s(literal -9/32 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) v))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal -1/4 binary64)))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 v))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))))
(* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))))
(* -1 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 v (sqrt.f64 #s(literal -3 binary64))))
(* -1 (* v (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (neg.f64 v))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 v))
(* -1 (* v (+ (* -1/8 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* (sqrt -3) (sqrt 2)))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))))) (neg.f64 v))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* -9/32 (* (pow v 2) (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* -3/8 (sqrt 2)) (* (pow v 2) (+ (* -27/64 (* (pow v 2) (sqrt 2))) (* -9/32 (sqrt 2)))))))
(fma.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -27/64 binary64) #s(literal -9/32 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))))
(* 1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) v))
(* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64))))))))
(* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(.f64 v (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1/4 (* v (* (sqrt -3) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 v #s(literal -1/4 binary64)))
(* -1 (* v (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))) (neg.f64 v))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2)))))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -3 binary64))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -3 binary64)))))))))
(* -1 (* v (+ (* -1/32 (/ (sqrt 2) (* (pow v 4) (pow (sqrt -3) 3)))) (+ (* 1/64 (/ (sqrt 2) (* (pow v 6) (pow (sqrt -3) 5)))) (+ (* 1/8 (/ (sqrt 2) (* (pow v 2) (sqrt -3)))) (* 1/4 (* (sqrt -3) (sqrt 2))))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/96 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (.f64 v (.f64 v (sqrt.f64 #s(literal -3 binary64)))))))) (neg.f64 v))

eval199.0ms (2%)

Memory: -9.8MiB live, 343.0MiB allocated
Compiler: Compiled 40 441 to 2 886 computations (92.9% saved)

prune126.0ms (1.3%)

Memory

30.1MiB live, 309.1MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 459	2	1 461
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1 461	5	1 466

Accuracy

100.0%

Counts

1 466 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
▶	100.0%	(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 v (neg.f64 v)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	99.3%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
✓	98.8%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify359.0ms (3.6%)

Memory

-23.4MiB live, 453.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	1088	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
✓	cost-diff	0	(neg.f64 v)
✓	cost-diff	0	(*.f64 v (neg.f64 v))
✓	cost-diff	0	(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 v (neg.f64 v)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	cost-diff	128	(fma.f64 #s(literal 1/4 binary64) (*.f64 v (neg.f64 v)) #s(literal 1/4 binary64))

Rules

13 586×	`accelerator-lowering-fma.f32`
13 586×	`accelerator-lowering-fma.f64`
2 804×	`+-lowering-+.f64`
2 804×	`+-lowering-+.f32`
1 948×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	91
1	44	89
2	87	87
3	204	87
4	418	87
5	571	87
6	896	87
7	1977	87
8	2847	87
9	4107	87
10	5268	87
11	6278	87
12	6676	87
13	7567	87
0	8422	79

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* 1/4 (* v (neg v))) 1/4) (sqrt (+ (* v (* v -6)) 2)))
(+ (* 1/4 (* v (neg v))) 1/4)
1/4
(* v (neg v))
v
(neg v)
(sqrt (+ (* v (* v -6)) 2))
(+ (* v (* v -6)) 2)
(* v -6)
-6
2
(/ (sqrt 2) (/ 1 (+ (* v (* v -5/8)) 1/4)))
(sqrt 2)
2
(/ 1 (+ (* v (* v -5/8)) 1/4))
1
(+ (* v (* v -5/8)) 1/4)
v
(* v -5/8)
-5/8
1/4

Outputs
(* (+ (* 1/4 (* v (neg v))) 1/4) (sqrt (+ (* v (* v -6)) 2)))
(.f64 (fma.f64 v (.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))))
(+ (* 1/4 (* v (neg v))) 1/4)
(fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* v (neg v))
(*.f64 v (neg.f64 v))
v
(neg v)
(neg.f64 v)
(sqrt (+ (* v (* v -6)) 2))
(sqrt.f64 (fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64)))
(+ (* v (* v -6)) 2)
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(* v -6)
(*.f64 v #s(literal -6 binary64))
-6
#s(literal -6 binary64)
2
#s(literal 2 binary64)
(/ (sqrt 2) (/ 1 (+ (* v (* v -5/8)) 1/4)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (+ (* v (* v -5/8)) 1/4))
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
1
#s(literal 1 binary64)
(+ (* v (* v -5/8)) 1/4)
(fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))
v
(* v -5/8)
(*.f64 v #s(literal -5/8 binary64))
-5/8
#s(literal -5/8 binary64)
1/4
#s(literal 1/4 binary64)

localize56.0ms (0.6%)

Memory

15.6MiB live, 94.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 v #s(literal -5/8 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
✓	accuracy	100.0%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(neg.f64 v)
✓	accuracy	100.0%	(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 v (neg.f64 v)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))

Samples

33.0ms

256×

valid

Compiler

Compiled 85 to 23 computations (72.9% saved)

Precisions

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

ival-mult: 10.0ms (43.6% of total)

ival-add: 4.0ms (17.5% of total)

ival-div: 3.0ms (13.1% of total)

ival-sqrt: 3.0ms (13.1% of total)

exact: 1.0ms (4.4% of total)

ival-neg: 1.0ms (4.4% of total)

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

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

series9.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

11 → 120

Calls

Call 1

Inputs
#<alt (+ (* 1/4 (* v (neg v))) 1/4)>
#<alt (* (+ (* 1/4 (* v (neg v))) 1/4) (sqrt (+ (* v (* v -6)) 2)))>
#<alt (* v (neg v))>
#<alt (neg v)>
#<alt (/ (sqrt 2) (/ 1 (+ (* v (* v -5/8)) 1/4)))>
#<alt (sqrt 2)>
#<alt (/ 1 (+ (* v (* v -5/8)) 1/4))>
#<alt (+ (* v (* v -5/8)) 1/4)>
#<alt (sqrt (+ (* v (* v -6)) 2))>
#<alt (* v -6)>
#<alt (* v -5/8)>

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

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(sqrt (+ (* v (* v -6)) 2))
1.0ms	v	@	inf	(* (+ (* 1/4 (* v (neg v))) 1/4) (sqrt (+ (* v (* v -6)) 2)))
1.0ms	v	@	0	(* (+ (* 1/4 (* v (neg v))) 1/4) (sqrt (+ (* v (* v -6)) 2)))
0.0ms	v	@	inf	(* v (neg v))
0.0ms	v	@	inf	(* v -6)

rewrite329.0ms (3.3%)

Memory

-0.5MiB live, 577.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 276×	`accelerator-lowering-fma.f32`
6 276×	`accelerator-lowering-fma.f64`
4 866×	`-lowering-.f32`
4 866×	`-lowering-.f64`
2 486×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	75
1	100	73
2	646	71
3	6207	71
0	8244	64

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 597

Calls

Call 1

Inputs
(+ (* 1/4 (* v (neg v))) 1/4)
(* (+ (* 1/4 (* v (neg v))) 1/4) (sqrt (+ (* v (* v -6)) 2)))
(* v (neg v))
(neg v)
(/ (sqrt 2) (/ 1 (+ (* v (* v -5/8)) 1/4)))
(sqrt 2)
(/ 1 (+ (* v (* v -5/8)) 1/4))
(+ (* v (* v -5/8)) 1/4)
(sqrt (+ (* v (* v -6)) 2))
(* v -6)
(* v -5/8)

Outputs
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) #s(literal -1/4 binary64)))
(+.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 v v)))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 v v)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 v v)))))
(fma.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 v v)) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 v (*.f64 v #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 v) (*.f64 #s(literal 1/4 binary64) v) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (*.f64 v v)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(fma.f64 (neg.f64 (.f64 v v)) (/.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (/.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal 1/4 binary64))
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (neg.f64 (.f64 #s(literal 1/16 binary64) (.f64 v v))) (/.f64 (neg.f64 (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) v) (neg.f64 v) #s(literal 1/4 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) v) (/.f64 (.f64 v (.f64 #s(literal 1/4 binary64) (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 v v)) (/.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 v v)) #s(literal -1 binary64) #s(literal 1/4 binary64))
(fma.f64 (.f64 (neg.f64 v) (.f64 #s(literal 1/16 binary64) (.f64 v v))) (/.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (*.f64 v #s(literal -1/4 binary64)) v #s(literal 1/4 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v))) #s(literal -1/16 binary64))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 #s(literal 1/64 binary64) (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal -1/64 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v))) (fma.f64 (neg.f64 v) (.f64 v #s(literal 1/16 binary64)) #s(literal 1/16 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/64 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v))) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 v v) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/64 binary64))) (fma.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v))) #s(literal -1/16 binary64))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 v v))) (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/16 binary64) (.f64 v (.f64 v (.f64 v v)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/64 binary64)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v))) #s(literal -1/16 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/64 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v))) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/4096 binary64))) #s(literal 1/262144 binary64)) (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (-.f64 (fma.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/4096 binary64)) #s(literal 1/4096 binary64)) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v))))) #s(literal 1/4096 binary64)))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/4096 binary64)) #s(literal -1/4096 binary64)) (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/64 binary64) (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal -1/64 binary64))))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/4096 binary64)) #s(literal -1/4096 binary64)) (.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/256 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 1/256 binary64) #s(literal 1/256 binary64)))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/16 binary64) (.f64 v (.f64 v (.f64 v v))))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (.f64 v v))))
(/.f64 (fma.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 1/256 binary64)) (.f64 v (.f64 v (.f64 v v))) #s(literal -1/256 binary64)) (.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v))) #s(literal 1/16 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/4096 binary64))) #s(literal 1/262144 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/4096 binary64)) #s(literal 1/4096 binary64)) (.f64 (neg.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1/4096 binary64))) (fma.f64 (.f64 (.f64 v v) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/16 binary64))))
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(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
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(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
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(.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 v #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) v)
(*.f64 v #s(literal -5/8 binary64))
(*.f64 #s(literal -5/8 binary64) v)

simplify366.0ms (3.6%)

Memory

9.5MiB live, 573.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 912×	`accelerator-lowering-fma.f32`
13 912×	`accelerator-lowering-fma.f64`
5 122×	`-lowering-.f32`
5 122×	`-lowering-.f64`
3 058×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1212
1	497	1161
2	1462	1147
3	4999	1083
0	8247	1020

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

Outputs
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/4 (pow v 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* -1/4 (pow v 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(+ 1/4 (* -1/4 (pow v 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* -1/4 (pow v 2))
(.f64 #s(literal -1/4 binary64) (.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* -1/4 (pow v 2))
(.f64 #s(literal -1/4 binary64) (.f64 v v))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 1/4))
(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (.f64 #s(literal -3/4 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (fma.f64 v (.f64 v (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (+ (* -1/4 (sqrt 2)) (* (pow v 2) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 2) (- (* 9/8 (/ 1 (pow (sqrt 2) 3))) (* 27/8 (/ 1 (pow (sqrt 2) 5)))))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 9/16 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(* -1/4 (* (pow v 3) (sqrt -6)))
(.f64 #s(literal -1/4 binary64) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 v (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v (.f64 v v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v))))))
(* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 v (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (*.f64 v v))))) #s(literal 11/48 binary64)))))
(* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6)))))
(fma.f64 v (.f64 (.f64 v v) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (.f64 v v))))) #s(literal 11/48 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 v (neg.f64 (sqrt.f64 #s(literal -6 binary64))))))
(* 1/4 (* (pow v 3) (sqrt -6)))
(.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (* 1/4 (/ (sqrt -6) (pow v 2)))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 v (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v (.f64 v v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 v v)))))))
(* -1 (* (pow v 3) (- (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 v (neg.f64 (sqrt.f64 #s(literal -6 binary64)))) (.f64 (.f64 v (.f64 v v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (*.f64 v v))))) #s(literal 11/48 binary64))))))
(* -1 (* (pow v 3) (- (+ (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -6) 3))) (* 1/8 (/ 1 (pow (sqrt -6) 5)))) (pow v 6))) (+ (* -1/4 (sqrt -6)) (+ (* 1/4 (/ (sqrt -6) (pow v 2))) (+ (* 1/4 (/ 1 (* (pow v 4) (sqrt -6)))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))) (/ 1/4 (* (pow v 2) (sqrt -6))))))
(neg.f64 (fma.f64 v (.f64 (.f64 v v) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 v v))) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (.f64 v v))))) #s(literal 11/48 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (sqrt.f64 #s(literal -6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)))) (pow.f64 v #s(literal 6 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 v (neg.f64 (sqrt.f64 #s(literal -6 binary64)))))))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 (pow v 2))
(*.f64 v (neg.f64 v))
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(+ (* -5/8 (* (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 #s(literal -5/8 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* -5/8 (* (pow v 2) (sqrt 2)))
(.f64 #s(literal -5/8 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(* (pow v 2) (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) (pow v 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* 10 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal 10 binary64)) #s(literal 4 binary64))
(+ 4 (* (pow v 2) (+ 10 (* 25 (pow v 2)))))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 25 binary64)) #s(literal 10 binary64))) #s(literal 4 binary64))
(+ 4 (* (pow v 2) (+ 10 (* (pow v 2) (+ 25 (* 125/2 (pow v 2)))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal 125/2 binary64) #s(literal 25 binary64)) #s(literal 10 binary64)) #s(literal 4 binary64))
(/ -8/5 (pow v 2))
(/.f64 #s(literal -8/5 binary64) (*.f64 v v))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/.f64 (+.f64 #s(literal -8/5 binary64) (/.f64 #s(literal -16/25 binary64) (.f64 v v))) (.f64 v v))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/.f64 (+.f64 #s(literal -8/5 binary64) (/.f64 (+.f64 #s(literal -16/25 binary64) (/.f64 #s(literal -32/125 binary64) (.f64 v v))) (.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -32/125 binary64) (/.f64 #s(literal 64/625 binary64) (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal -8/5 binary64) (/.f64 #s(literal -16/25 binary64) (.f64 v v)))) (.f64 v v))
(/ -8/5 (pow v 2))
(/.f64 #s(literal -8/5 binary64) (*.f64 v v))
(* -1 (/ (+ 8/5 (* 16/25 (/ 1 (pow v 2)))) (pow v 2)))
(/.f64 (+.f64 #s(literal -8/5 binary64) (/.f64 #s(literal -16/25 binary64) (.f64 v v))) (.f64 v v))
(/ (- (* -1 (/ (+ 16/25 (* 32/125 (/ 1 (pow v 2)))) (pow v 2))) 8/5) (pow v 2))
(/.f64 (+.f64 #s(literal -8/5 binary64) (/.f64 (+.f64 #s(literal -16/25 binary64) (/.f64 #s(literal -32/125 binary64) (.f64 v v))) (.f64 v v))) (*.f64 v v))
(/ (- (* -1 (/ (+ 32/125 (* 64/625 (/ 1 (pow v 2)))) (pow v 4))) (+ 8/5 (* 16/25 (/ 1 (pow v 2))))) (pow v 2))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -32/125 binary64) (/.f64 #s(literal 64/625 binary64) (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 #s(literal -8/5 binary64) (/.f64 #s(literal -16/25 binary64) (.f64 v v)))) (.f64 v v))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -5/8 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* -5/8 (pow v 2))
(.f64 (.f64 v v) #s(literal -5/8 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(* (pow v 2) (- (* 1/4 (/ 1 (pow v 2))) 5/8))
(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ (pow v 2) (sqrt 2))))
(fma.f64 #s(literal -3 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* -9/2 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* (pow v 2) (- (* (pow v 2) (- (* -27/2 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* v (sqrt -6))
(*.f64 v (sqrt.f64 #s(literal -6 binary64)))
(* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))))
(fma.f64 v (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))
(* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 v (sqrt.f64 #s(literal -6 binary64)))) (.f64 (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/12 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (.f64 v v)))))) v))
(* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(fma.f64 v (/.f64 #s(literal 1/12 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* -1 (* v (sqrt -6)))
(neg.f64 (*.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6))))))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 v (sqrt.f64 #s(literal -6 binary64)))) (.f64 v (sqrt.f64 #s(literal -6 binary64))))
(* -1 (* v (- (+ (sqrt -6) (/ 1 (* (pow v 2) (sqrt -6)))) (/ 1/2 (* (pow v 4) (pow (sqrt -6) 3))))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 v (sqrt.f64 #s(literal -6 binary64)))) (.f64 v (-.f64 (/.f64 #s(literal -1/12 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 #s(literal -6 binary64)))))
(* -1 (* v (- (+ (sqrt -6) (+ (/ 1 (* (pow v 2) (sqrt -6))) (* 1/2 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/2 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(-.f64 (.f64 v (/.f64 #s(literal -1/12 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 v (+.f64 (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 v (sqrt.f64 #s(literal -6 binary64))))))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))
(* -5/8 v)
(*.f64 v #s(literal -5/8 binary64))

eval87.0ms (0.9%)

Memory: 16.4MiB live, 167.5MiB allocated
Compiler: Compiled 19 550 to 1 998 computations (89.8% saved)

prune83.0ms (0.8%)

Memory

-27.0MiB live, 170.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	716	1	717
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	717	5	722

Accuracy

100.0%

Counts

722 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
	100.0%	(.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	100.0%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	99.3%	(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
✓	98.8%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 283 to 116 computations (59% saved)

regimes12.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 v (neg.f64 v)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3/32 binary64) #s(literal -5/8 binary64)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 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 (/.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 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1/4 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 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))

Calls

3 calls:

4.0ms

(*.f64 v v)

4.0ms

(*.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 17 computations (34.6% saved)

regimes13.0ms (0.1%)

Memory

-16.4MiB live, 21.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 #s(literal 1/4 binary64) (.f64 (fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 v (neg.f64 v)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -9/32 binary64) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal 3/32 binary64) #s(literal -5/8 binary64)))))

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

Calls

3 calls:

6.0ms

(*.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)))

3.0ms

(*.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 17 computations (34.6% saved)

regimes5.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms

(*.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)))

2.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
99.3%	1	`v`
99.3%	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)))`
99.3%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes3.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Calls

3 calls:

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)))

1.0ms

(*.f64 v v)

Results

Accuracy	Segments	Branch
98.8%	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)))`
98.8%	1	`v`
98.8%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify13.0ms (0.1%)

Memory

-41.4MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	45
1	37	45
2	44	45
3	48	45
4	50	45

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Outputs
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -3 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (fma.f64 (.f64 v v) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))

soundness957.0ms (9.5%)

Memory

44.0MiB live, 426.7MiB allocated

Rules

25 458×	`accelerator-lowering-fma.f32`
25 458×	`accelerator-lowering-fma.f64`
19 316×	`accelerator-lowering-fma.f32`
19 316×	`accelerator-lowering-fma.f64`
8 386×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	2045
1	676	1924
2	2413	1828
3	5965	1810
0	8078	1703
0	21	75
1	100	73
2	646	71
3	6207	71
0	8244	64
0	139	862
1	431	833
2	1700	784
3	4809	723
0	8347	691
0	27	145
1	142	127
2	977	127
0	8488	116
0	14	50
1	71	48
2	483	48
3	4843	48
0	8493	44
0	29	152
1	150	152
2	1161	150
0	8639	138

Stop Event

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

Compiler

Compiled 175 to 116 computations (33.7% saved)

preprocess137.0ms (1.4%)

Memory: -27.7MiB live, 89.4MiB allocated
Remove: (abs v)
Compiler: Compiled 208 to 126 computations (39.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

sample1.6s (16.1%)

preprocess409.0ms (4.1%)

explain167.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify235.0ms (2.3%)

localize48.0ms (0.5%)

series6.0ms (0.1%)

rewrite282.0ms (2.8%)

simplify511.0ms (5.1%)

eval59.0ms (0.6%)

prune73.0ms (0.7%)

simplify627.0ms (6.2%)

localize110.0ms (1.1%)

series10.0ms (0.1%)

rewrite438.0ms (4.3%)

simplify625.0ms (6.2%)

eval252.0ms (2.5%)

prune185.0ms (1.8%)

simplify187.0ms (1.9%)

localize103.0ms (1%)

series7.0ms (0.1%)

rewrite808.0ms (8%)

simplify555.0ms (5.5%)

eval199.0ms (2%)

prune126.0ms (1.3%)

simplify359.0ms (3.6%)

localize56.0ms (0.6%)

series9.0ms (0.1%)

rewrite329.0ms (3.3%)

simplify366.0ms (3.6%)

eval87.0ms (0.9%)

prune83.0ms (0.8%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify13.0ms (0.1%)

soundness957.0ms (9.5%)

preprocess137.0ms (1.4%)

end0.0ms (0%)

Profiling