Metrics for Falkner and Boettcher, Appendix B, 2

analyze4.0ms (0%)

Memory

-27.0MiB live, 12.0MiB 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)

sample1.1s (12.4%)

Memory

8.2MiB live, 2 196.7MiB allocated

Samples

725.0ms	8 256×	0	valid
1.0ms	15×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 541.0ms

ival-mult: 202.0ms (37.3% of total)

ival-sqrt: 142.0ms (26.2% of total)

ival-sub: 109.0ms (20.1% of total)

ival-div: 67.0ms (12.4% of total)

exact: 13.0ms (2.4% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess543.0ms (6.1%)

Memory

33.2MiB live, 386.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 438×	`lower-fma.f64`
7 438×	`lower-fma.f32`
3 206×	`lower-*.f32`
3 198×	`lower-*.f64`
1 088×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	53	38
2	168	38
3	591	38
4	1654	38
5	2972	38
6	4007	38
7	4338	38
8	4392	38
9	4452	38
10	4548	38
11	5258	38
12	6044	38
13	7156	38
14	7502	38
0	14	19
0	23	19
1	45	19
2	97	19
3	230	19
4	651	19
5	1485	19
6	2032	19
7	3628	19
8	4929	19
9	6447	19
10	7423	19
0	8047	17

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(*.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))))

Symmetry

(abs v)

explain369.0ms (4.1%)

Memory

-10.9MiB live, 348.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	256	(6.892006780874985e-276)	`(.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)))))`
256	-	256	(6.892006780874985e-276)	`(.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)))`
256	-	256	(6.892006780874985e-276)	`(-.f64 #s(literal 1 binary64) (*.f64 v v))`
256	-	256	(6.892006780874985e-276)	`(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))`
256	-	256	(6.892006780874985e-276)	`(.f64 #s(literal 3 binary64) (.f64 v v))`
256	-	256	(6.892006780874985e-276)	`(*.f64 v v)`
256	-	256	(6.892006780874985e-276)	`(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))`
256	-	256	(6.892006780874985e-276)	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v))))`
256	-	256	(6.892006780874985e-276)	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`v`
0	-	0	-	`#s(literal 2 binary64)`

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

46.0ms

512×

valid

Compiler

Compiled 258 to 74 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (41.8% of total)

ival-sqrt: 7.0ms (24.4% of total)

ival-sub: 5.0ms (17.4% of total)

ival-div: 4.0ms (13.9% of total)

exact: 1.0ms (3.5% 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

1.6MiB live, 1.6MiB 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)

simplify304.0ms (3.4%)

Memory

2.8MiB live, 365.3MiB 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×	`lower-fma.f64`
7 438×	`lower-fma.f32`
3 206×	`lower-*.f32`
3 198×	`lower-*.f64`
1 088×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
0	23	71
1	45	71
2	97	71
3	230	71
4	651	71
5	1485	71
6	2032	71
7	3628	71
8	4929	71
9	6447	71
10	7423	71
0	8047	66

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (0.5%)

Memory

7.2MiB live, 84.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	4.2%	(.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	4.2%	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))
✓	accuracy	4.2%	(.f64 #s(literal 3 binary64) (.f64 v v))
✓	accuracy	4.2%	(*.f64 v v)

Samples

34.0ms

256×

valid

Compiler

Compiled 145 to 30 computations (79.3% saved)

Precisions

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

ival-sub: 13.0ms (51.2% of total)

ival-mult: 5.0ms (19.7% of total)

ival-sqrt: 5.0ms (19.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-18.3MiB live, 20.2MiB allocated

Counts

6 → 60

Calls

Call 1

Inputs
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))>
#<alt (.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)))>
#<alt (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 v v)))>
#<alt (.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)))))>
#<alt (*.f64 v v)>
#<alt (.f64 #s(literal 3 binary64) (.f64 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 3)))>
#<alt (+ 1 (* -3 (pow v 3)))>
#<alt (+ 1 (* -3 (pow v 3)))>
#<alt (* -3 (pow v 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 3))>
#<alt (* 3 (pow v 3))>
#<alt (* (pow v 3) (+ 3 (/ 1 (pow v 3))))>
#<alt (* (pow v 3) (+ 3 (/ 1 (pow v 3))))>
#<alt (* (pow v 3) (+ 3 (/ 1 (pow v 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 v>
#<alt v>
#<alt v>
#<alt v>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (pow v 2))>
#<alt (* 3 (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)>

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
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)))))
1.0ms	v	@	inf	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))

Compiler

Compiled 176 to 133 computations (24.4% saved)

rewrite273.0ms (3%)

Memory

33.3MiB live, 453.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 304×	`lower-fma.f64`
4 304×	`lower-fma.f32`
4 064×	`lower-*.f32`
4 056×	`lower-*.f64`
2 112×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	80	49
2	492	49
3	4847	49
0	8499	45

Stop Event

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

Counts

6 → 403

Calls

Call 1

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

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

simplify501.0ms (5.6%)

Memory

-6.5MiB live, 1 077.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 404×	`lower-fma.f64`
19 404×	`lower-fma.f32`
5 578×	`lower-*.f64`
5 578×	`lower-*.f32`
3 034×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	886
1	442	845
2	1747	796
3	4905	735
0	8581	703

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 56

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 3)))
(+ 1 (* -3 (pow v 3)))
(+ 1 (* -3 (pow v 3)))
(* -3 (pow v 3))
(* (pow v 3) (- (/ 1 (pow v 3)) 3))
(* (pow v 3) (- (/ 1 (pow v 3)) 3))
(* (pow v 3) (- (/ 1 (pow v 3)) 3))
(* 3 (pow v 3))
(* (pow v 3) (+ 3 (/ 1 (pow v 3))))
(* (pow v 3) (+ 3 (/ 1 (pow v 3))))
(* (pow v 3) (+ 3 (/ 1 (pow v 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))))))))
v
v
v
v
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (pow v 2))
(* 3 (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)

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

eval59.0ms (0.7%)

Memory: -1.3MiB live, 154.3MiB allocated
Compiler: Compiled 14 058 to 1 558 computations (88.9% saved)

prune53.0ms (0.6%)

Memory

20.5MiB live, 146.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	469	6	475
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	470	6	476

Accuracy

100.0%

Counts

476 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal 4 binary64)))
▶	100.0%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.0%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
▶	98.6%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
▶	99.0%	(.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))))
▶	98.6%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 178 to 128 computations (28.1% saved)

simplify335.0ms (3.7%)

Memory

-11.4MiB live, 498.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

14 278×	`lower-fma.f32`
14 272×	`lower-fma.f64`
3 656×	`lower-*.f32`
3 634×	`lower-*.f64`
2 170×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	183
0	44	183
1	87	179
2	213	178
3	576	178
4	1666	178
5	3071	178
6	5542	178
0	8044	170

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1%)

Memory

-3.8MiB live, 159.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	17.7%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v)))
✓	accuracy	17.2%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	16.3%	(fma.f64 (*.f64 v v) #s(literal -3/8 binary64) #s(literal 1/4 binary64))
✓	accuracy	4.2%	(*.f64 v v)
✓	accuracy	17.7%	(fma.f64 (*.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64))
✓	accuracy	17.2%	(.f64 (fma.f64 (.f64 v v) #s(literal -5/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	17.2%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	4.2%	(*.f64 v v)
✓	accuracy	20.7%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	17.2%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	17.2%	(.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓	accuracy	4.2%	(*.f64 v v)
✓	accuracy	20.7%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	17.2%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	2.7%	(fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))
✓	accuracy	2.7%	(.f64 v (.f64 v #s(literal -3 binary64)))
✓	accuracy	2.3%	(*.f64 v #s(literal -3 binary64))
✓	accuracy	1.6%	(.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))

Samples

49.0ms

256×

valid

Compiler

Compiled 379 to 53 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 23.0ms (73.2% of total)

ival-sqrt: 4.0ms (12.7% of total)

ival-add: 3.0ms (9.5% of total)

ival-sub: 1.0ms (3.2% of total)

exact: 1.0ms (3.2% of total)

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

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

series23.0ms (0.3%)

Memory

-5.5MiB live, 32.4MiB allocated

Counts

17 → 180

Calls

Call 1

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

Outputs
#<alt 2>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (* -6 v)>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* 6 v)>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))>
#<alt (* -1/4 (* (sqrt (pow v 9)) (sqrt -6)))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 13))) (/ 1 (sqrt -6))))))))>
#<alt (* 1/4 (* (sqrt (pow v 9)) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 v)) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) v)) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* 1/4 (* v (sqrt -6)))>
#<alt (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))>
#<alt (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1/4 (* v (sqrt -6)))>
#<alt (* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))>
#<alt (* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ v (sqrt 2))))>
#<alt (+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* (sqrt v) (sqrt -6))>
#<alt (* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))>
#<alt (* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))>
#<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 (* v (sqrt 2))))>
#<alt (+ (sqrt 2) (* -5/2 (* v (sqrt 2))))>
#<alt (+ (sqrt 2) (* -5/2 (* v (sqrt 2))))>
#<alt (* -5/2 (* v (sqrt 2)))>
#<alt (* v (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) v)))>
#<alt (* v (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) v)))>
#<alt (* v (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) v)))>
#<alt (* 5/2 (* v (sqrt 2)))>
#<alt (* -1 (* v (+ (* -5/2 (sqrt 2)) (* -1 (/ (sqrt 2) v)))))>
#<alt (* -1 (* v (+ (* -5/2 (sqrt 2)) (* -1 (/ (sqrt 2) v)))))>
#<alt (* -1 (* v (+ (* -5/2 (sqrt 2)) (* -1 (/ (sqrt 2) v)))))>
#<alt 1>
#<alt (+ 1 (* -5/2 (pow v 3)))>
#<alt (+ 1 (* -5/2 (pow v 3)))>
#<alt (+ 1 (* -5/2 (pow v 3)))>
#<alt (* -5/2 (pow v 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 5/2))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 5/2))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 5/2))>
#<alt (* 5/2 (pow v 3))>
#<alt (* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))>
#<alt (* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))>
#<alt (* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<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 (* v (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* v (+ (* -5/8 (sqrt 2)) (* 3/8 (* v (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* v (+ (* -5/8 (sqrt 2)) (* 3/8 (* v (sqrt 2))))))>
#<alt (* 3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* -5/8 (/ (sqrt 2) v)) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -5/8 (/ (sqrt 2) v)) (+ (* 1/4 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2)))))>
#<alt (* (pow v 2) (+ (* -5/8 (/ (sqrt 2) v)) (+ (* 1/4 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2)))))>
#<alt (* 3/8 (* (pow v 2) (sqrt 2)))>
#<alt (* (pow v 2) (+ (* 3/8 (sqrt 2)) (* 5/8 (/ (sqrt 2) v))))>
#<alt (* (pow v 2) (+ (* -1 (/ (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v))) v)) (* 3/8 (sqrt 2))))>
#<alt (* (pow v 2) (+ (* -1 (/ (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v))) v)) (* 3/8 (sqrt 2))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -3/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -3/8 (* v (sqrt 2)))>
#<alt (* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))>
#<alt (* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))>
#<alt (* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))>
#<alt (* 3/8 (* v (sqrt 2)))>
#<alt (* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))>
#<alt (* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))>
#<alt (* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -3/8 (pow v 3)))>
#<alt (+ 1/4 (* -3/8 (pow v 3)))>
#<alt (+ 1/4 (* -3/8 (pow v 3)))>
#<alt (* -3/8 (pow v 4))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))>
#<alt (* -3/8 (pow v 4))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt (* -3 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (pow v 2))>
#<alt (* -3 (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)>

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(* (sqrt 2) (+ (* (* v v) -3/8) 1/4))
1.0ms	v	@	inf	(sqrt (+ (* 2 (* v (* v -3))) 2))
1.0ms	v	@	inf	(* (* (sqrt (+ (* 2 (* v (* v -3))) 2)) 1/4) (- 1 (* v v)))
1.0ms	v	@	inf	(* (sqrt (+ (* 2 (* v (* v -3))) 2)) 1/4)
1.0ms	v	@	0	(* (* (sqrt (+ (* 2 (* v (* v -3))) 2)) 1/4) (- 1 (* v v)))

Compiler

Compiled 492 to 380 computations (22.8% saved)

rewrite364.0ms (4.1%)

Memory

37.9MiB live, 499.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 826×	`lower-fma.f32`
8 820×	`lower-fma.f64`
6 554×	`lower-*.f32`
6 532×	`lower-*.f64`
3 546×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	44	133
1	142	129
2	889	128
0	8663	121

Stop Event

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

Counts

17 → 1 067

Calls

Call 1

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

Outputs
(+.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))
(+.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(+.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(fma.f64 #s(literal 2 binary64) (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64))
(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal 2 binary64))
(fma.f64 #s(literal -3 binary64) (.f64 (.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 v #s(literal -3 binary64)) (.f64 #s(literal 2 binary64) v) #s(literal 2 binary64))
(fma.f64 (.f64 v (.f64 v #s(literal -3 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))
(fma.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) v) (.f64 v #s(literal -3 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 v #s(literal -6 binary64)) v #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 v v)) #s(literal -3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -6 binary64) (*.f64 v v) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)) (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)) (fma.f64 (.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64))) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (*.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64))) (fma.f64 (.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64))) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 64 binary64)) (.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal -8 binary64)) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) #s(literal 4 binary64))) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal -16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 (.f64 v v) #s(literal -6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 64 binary64)) (.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 8 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (.f64 v v) #s(literal -12 binary64))))) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (*.f64 v v))) #s(literal -216 binary64) #s(literal -8 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))) (+.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal 16 binary64)) (.f64 (.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 36 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64)))) (fma.f64 (.f64 v (.f64 v (*.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 v v) #s(literal -6 binary64)) (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))))
(.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal -2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -216 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal 4 binary64)) (.f64 (*.f64 v v) #s(literal -12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 6 binary64) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal -6 binary64)))))
(.f64 (fma.f64 v (.f64 v #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #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))) (.f64 #s(literal -1/4 binary64) (.f64 v v))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 (neg.f64 (.f64 v v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #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))) (neg.f64 (.f64 (.f64 v v) #s(literal 1/4 binary64)))))
(+.f64 (.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) (.f64 v v)) (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64)))) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64)))) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64)))) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) (.f64 (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64)))) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64)))) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64)))) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64)))) (.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))))) (+.f64 (/.f64 (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64)))) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) #s(literal -19683/134217728 binary64) #s(literal 1/262144 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal 3/32 binary64))))) (-.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 729/262144 binary64) #s(literal 1/4096 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -27/32768 binary64))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 729/262144 binary64) #s(literal -1/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64)))) (+.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal 81/4096 binary64) #s(literal 1/256 binary64)) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal 9/1024 binary64))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)))
(.f64 (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -27/512 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal 1/16 binary64)) (.f64 (*.f64 v v) #s(literal 3/32 binary64)))))
(.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -27/512 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 v v) (-.f64 (.f64 (.f64 v v) #s(literal 9/64 binary64)) #s(literal -3/32 binary64))))))
(.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -27/512 binary64)) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal 3/32 binary64)))) #s(literal 1 binary64)))
(.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))))
(.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/16 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
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(.f64 (neg.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 3/8 binary64) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/16 binary64) (.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 v v) #s(literal -3/8 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v v))) #s(literal -27/512 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal 1/16 binary64)) (.f64 (.f64 v v) #s(literal 3/32 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 (.f64 v v) #s(literal 9/64 binary64))) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -3/8 binary64)) #s(literal -1/4 binary64))))
(*.f64 v #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) v)
(.f64 v (.f64 v #s(literal -3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -3 binary64)) v)
(.f64 (.f64 v (*.f64 v #s(literal -3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 v (*.f64 v #s(literal -3 binary64))))
(.f64 (.f64 v v) #s(literal -3 binary64))

simplify441.0ms (4.9%)

Memory

10.8MiB live, 557.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 650×	`lower-fma.f64`
13 650×	`lower-fma.f32`
6 706×	`lower-*.f64`
6 706×	`lower-*.f32`
3 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	2099
1	947	1974
2	2955	1858
3	6882	1858
0	8024	1771

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 172

Calls

Call 1

Inputs
2
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(* -6 v)
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* 6 v)
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* 1/4 (* (pow v 2) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(* -1/4 (* (sqrt (pow v 9)) (sqrt -6)))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 13))) (/ 1 (sqrt -6))))))))
(* 1/4 (* (sqrt (pow v 9)) (* (sqrt -6) (sqrt -1))))
(* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 v)) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) v)) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(* 1/4 (sqrt 2))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* 1/4 (* v (sqrt -6)))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1/4 (* v (sqrt -6)))
(* -1 (* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6)))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3))))))
(* -1 (* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3)))))))
(sqrt 2)
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* (sqrt v) (sqrt -6))
(* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))
(* 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 (* v (sqrt 2))))
(+ (sqrt 2) (* -5/2 (* v (sqrt 2))))
(+ (sqrt 2) (* -5/2 (* v (sqrt 2))))
(* -5/2 (* v (sqrt 2)))
(* v (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) v)))
(* v (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) v)))
(* v (+ (* -5/2 (sqrt 2)) (/ (sqrt 2) v)))
(* 5/2 (* v (sqrt 2)))
(* -1 (* v (+ (* -5/2 (sqrt 2)) (* -1 (/ (sqrt 2) v)))))
(* -1 (* v (+ (* -5/2 (sqrt 2)) (* -1 (/ (sqrt 2) v)))))
(* -1 (* v (+ (* -5/2 (sqrt 2)) (* -1 (/ (sqrt 2) v)))))
1
(+ 1 (* -5/2 (pow v 3)))
(+ 1 (* -5/2 (pow v 3)))
(+ 1 (* -5/2 (pow v 3)))
(* -5/2 (pow v 3))
(* (pow v 3) (- (/ 1 (pow v 3)) 5/2))
(* (pow v 3) (- (/ 1 (pow v 3)) 5/2))
(* (pow v 3) (- (/ 1 (pow v 3)) 5/2))
(* 5/2 (pow v 3))
(* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))
(* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))
(* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))
v
v
v
v
(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 (* v (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* v (+ (* -5/8 (sqrt 2)) (* 3/8 (* v (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* v (+ (* -5/8 (sqrt 2)) (* 3/8 (* v (sqrt 2))))))
(* 3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* -5/8 (/ (sqrt 2) v)) (* 3/8 (sqrt 2))))
(* (pow v 2) (+ (* -5/8 (/ (sqrt 2) v)) (+ (* 1/4 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2)))))
(* (pow v 2) (+ (* -5/8 (/ (sqrt 2) v)) (+ (* 1/4 (/ (sqrt 2) (pow v 2))) (* 3/8 (sqrt 2)))))
(* 3/8 (* (pow v 2) (sqrt 2)))
(* (pow v 2) (+ (* 3/8 (sqrt 2)) (* 5/8 (/ (sqrt 2) v))))
(* (pow v 2) (+ (* -1 (/ (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v))) v)) (* 3/8 (sqrt 2))))
(* (pow v 2) (+ (* -1 (/ (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v))) v)) (* 3/8 (sqrt 2))))
(* 1/4 (sqrt 2))
(+ (* -3/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -3/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))
(* -3/8 (* v (sqrt 2)))
(* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(* 3/8 (* v (sqrt 2)))
(* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
(* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
(* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
1/4
(+ 1/4 (* -3/8 (pow v 3)))
(+ 1/4 (* -3/8 (pow v 3)))
(+ 1/4 (* -3/8 (pow v 3)))
(* -3/8 (pow v 4))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(* -3/8 (pow v 4))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(* -3 v)
(* -3 v)
(* -3 v)
(* -3 v)
v
v
v
v
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (pow v 2))
(* -3 (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)

Outputs
2
#s(literal 2 binary64)
(+ 2 (* -6 v))
(fma.f64 #s(literal -6 binary64) v #s(literal 2 binary64))
(+ 2 (* -6 v))
(fma.f64 #s(literal -6 binary64) v #s(literal 2 binary64))
(+ 2 (* -6 v))
(fma.f64 #s(literal -6 binary64) v #s(literal 2 binary64))
(* -6 v)
(*.f64 #s(literal -6 binary64) v)
(* v (- (* 2 (/ 1 v)) 6))
(fma.f64 #s(literal -6 binary64) v #s(literal 2 binary64))
(* v (- (* 2 (/ 1 v)) 6))
(fma.f64 #s(literal -6 binary64) v #s(literal 2 binary64))
(* v (- (* 2 (/ 1 v)) 6))
(fma.f64 #s(literal -6 binary64) v #s(literal 2 binary64))
(* 6 v)
(*.f64 v #s(literal 6 binary64))
(* v (+ 6 (* 2 (/ 1 v))))
(fma.f64 v #s(literal 6 binary64) #s(literal 2 binary64))
(* v (+ 6 (* 2 (/ 1 v))))
(fma.f64 v #s(literal 6 binary64) #s(literal 2 binary64))
(* v (+ 6 (* 2 (/ 1 v))))
(fma.f64 v #s(literal 6 binary64) #s(literal 2 binary64))
(* 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) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))
(.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 v v) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (+ (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))) (* (pow v 2) (+ (* 1/4 (* (pow v 2) (- (* 9/2 (/ 1 (pow (sqrt 2) 3))) (* 27/2 (/ 1 (pow (sqrt 2) 5)))))) (* 1/4 (- (* 3 (/ 1 (sqrt 2))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))))))))
(fma.f64 (.f64 v v) (.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 9/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -27/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -9/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 v v) (-.f64 (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (sqrt (pow v 9)) (sqrt -6)))
(.f64 (sqrt.f64 (pow.f64 v #s(literal 9 binary64))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))
(.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 5 binary64))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)))))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 13))) (/ 1 (sqrt -6))))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 13 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))))))
(* 1/4 (* (sqrt (pow v 9)) (* (sqrt -6) (sqrt -1))))
(.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 (pow.f64 v #s(literal 9 binary64))) (sqrt.f64 #s(literal -6 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))))) (pow.f64 v #s(literal 5 binary64))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 v)) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -6 binary64)))))) (.f64 v (*.f64 v v)))) (neg.f64 (pow.f64 v #s(literal 5 binary64))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) v)) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (sqrt.f64 v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -6 binary64))) v) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 v (.f64 v v)))) (neg.f64 (pow.f64 v #s(literal 5 binary64))))
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3/4 binary64) (.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 v (.f64 v (fma.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal 2 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (/.f64 #s(literal -27/8 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 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)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/4 (* v (sqrt -6)))
(.f64 v (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))
(* v (+ (* 1/4 (sqrt -6)) (* 1/4 (/ 1 (* (pow v 2) (sqrt -6))))))
(.f64 v (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -6 binary64)))))))
(* v (- (+ (* 1/4 (sqrt -6)) (/ 1/4 (* (pow v 2) (sqrt -6)))) (/ 1/8 (* (pow v 4) (pow (sqrt -6) 3)))))
(.f64 v (+.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -6 binary64)))))) (/.f64 #s(literal 1/48 binary64) (.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (.f64 v v) (*.f64 v v))))))
(* v (- (+ (* 1/4 (sqrt -6)) (+ (/ 1/4 (* (pow v 2) (sqrt -6))) (* 1/8 (/ 1 (* (pow v 6) (pow (sqrt -6) 5)))))) (* 1/8 (/ 1 (* (pow v 4) (pow (sqrt -6) 3))))))
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(* -1/4 (* v (sqrt -6)))
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(.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) v))))
(* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) v))))
(* v (+ (* -3/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) v))))
(* 3/8 (* v (sqrt 2)))
(.f64 v (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))
(* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) v) #s(literal -3/8 binary64))) (neg.f64 v))
(* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) v) #s(literal -3/8 binary64))) (neg.f64 v))
(* -1 (* v (+ (* -3/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/4 binary64) v) #s(literal -3/8 binary64))) (neg.f64 v))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -3/8 (pow v 3)))
(fma.f64 v (.f64 (.f64 v v) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -3/8 (pow v 3)))
(fma.f64 v (.f64 (.f64 v v) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* -3/8 (pow v 3)))
(fma.f64 v (.f64 (.f64 v v) #s(literal -3/8 binary64)) #s(literal 1/4 binary64))
(* -3/8 (pow v 4))
(.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -3/8 binary64))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (*.f64 v v)))))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (*.f64 v v)))))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (*.f64 v v)))))
(* -3/8 (pow v 4))
(.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -3/8 binary64))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (*.f64 v v)))))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (*.f64 v v)))))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 3/8))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 v v) (*.f64 v v)))))
(* -3 v)
(*.f64 v #s(literal -3 binary64))
(* -3 v)
(*.f64 v #s(literal -3 binary64))
(* -3 v)
(*.f64 v #s(literal -3 binary64))
(* -3 v)
(*.f64 v #s(literal -3 binary64))
v
v
v
v
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 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))
(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)

eval193.0ms (2.2%)

Memory: -7.7MiB live, 363.2MiB allocated
Compiler: Compiled 41 350 to 3 380 computations (91.8% saved)

prune152.0ms (1.7%)

Memory

2.2MiB live, 353.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	1 476	4	1 480
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	1 481	5	1 486

Accuracy

100.0%

Counts

1 486 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
▶	99.0%	(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
▶	99.0%	(.f64 (fma.f64 v (.f64 v #s(literal -5/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	98.6%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 67 to 50 computations (25.4% saved)

simplify253.0ms (2.8%)

Memory

2.8MiB live, 444.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 v (.f64 v (*.f64 v v)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (*.f64 v v))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	cost-diff	1728	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	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	(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (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 v #s(literal -5/2 binary64))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -5/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 (fma.f64 v (.f64 v #s(literal -5/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (*.f64 v v) #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))

Rules

7 854×	`lower-fma.f32`
7 844×	`lower-fma.f64`
3 962×	`lower-*.f32`
3 940×	`lower-*.f64`
1 394×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	200
0	52	184
1	93	178
2	171	178
3	352	174
4	929	174
5	1475	174
6	2673	174
7	5562	174
0	8038	173

Stop Event

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

Calls

Call 1

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

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

localize294.0ms (3.3%)

Memory

-4.4MiB live, 153.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	2.3%	(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
✓	accuracy	1.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
✓	accuracy	1.6%	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))
✓	accuracy	16.8%	(fma.f64 (*.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64))
✓	accuracy	16.6%	(.f64 (fma.f64 (.f64 v v) #s(literal -5/8 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	2.7%	(*.f64 v v)
✓	accuracy	1.6%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	17.7%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	2.3%	(fma.f64 v (*.f64 v #s(literal -5/2 binary64)) #s(literal 1 binary64))
✓	accuracy	2.3%	(*.f64 v #s(literal -5/2 binary64))
✓	accuracy	1.6%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	2.7%	(*.f64 v v)
✓	accuracy	2.3%	(*.f64 v #s(literal -6 binary64))
✓	accuracy	2.3%	(fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))
✓	accuracy	1.6%	(sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64)))

Samples

253.0ms

256×

valid

Compiler

Compiled 419 to 62 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 33.0ms (71.9% of total)

ival-add: 5.0ms (10.9% of total)

ival-sqrt: 3.0ms (6.5% of total)

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

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

exact: 1.0ms (2.2% of total)

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

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

series21.0ms (0.2%)

Memory

2.2MiB live, 40.2MiB allocated

Counts

17 → 180

Calls

Call 1

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

Outputs
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (+ (* -1/4 (sqrt 2)) (* (pow v 3) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (+ (* -1/4 (sqrt 2)) (* (pow v 3) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 3) (- (* 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 (* (sqrt (pow v 9)) (sqrt -6)))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))>
#<alt (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 13))) (/ 1 (sqrt -6))))))))>
#<alt (* 1/4 (* (sqrt (pow v 9)) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 v)) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) v)) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (pow v 3)))>
#<alt (+ 1/4 (* -1/4 (pow v 3)))>
#<alt (+ 1/4 (* -1/4 (pow v 3)))>
#<alt (* -1/4 (pow v 3))>
#<alt (* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))>
#<alt (* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))>
#<alt (* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))>
#<alt (* 1/4 (pow v 3))>
#<alt (* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))>
#<alt (* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))>
#<alt (* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<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 (sqrt 2)>
#<alt (+ (sqrt 2) (* -3 (/ v (sqrt 2))))>
#<alt (+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))>
#<alt (* (sqrt v) (sqrt -6))>
#<alt (* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))>
#<alt (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))>
#<alt (* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))>
#<alt (* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))>
#<alt (* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))>
#<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 3)))>
#<alt (+ 1 (* -5/2 (pow v 3)))>
#<alt (+ 1 (* -5/2 (pow v 3)))>
#<alt (* -5/2 (pow v 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 5/2))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 5/2))>
#<alt (* (pow v 3) (- (/ 1 (pow v 3)) 5/2))>
#<alt (* 5/2 (pow v 3))>
#<alt (* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))>
#<alt (* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))>
#<alt (* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))>
#<alt (* -5/2 v)>
#<alt (* -5/2 v)>
#<alt (* -5/2 v)>
#<alt (* -5/2 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -5/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* -5/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (* -5/8 (* v (sqrt 2)))>
#<alt (* v (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))>
#<alt (* v (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))>
#<alt (* v (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))>
#<alt (* 5/8 (* v (sqrt 2)))>
#<alt (* -1 (* v (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))>
#<alt (* -1 (* v (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))>
#<alt (* -1 (* v (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -5/8 (pow v 3)))>
#<alt (+ 1/4 (* -5/8 (pow v 3)))>
#<alt (+ 1/4 (* -5/8 (pow v 3)))>
#<alt (* -5/8 (pow v 4))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))>
#<alt (* -5/8 (pow v 4))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))>
#<alt (* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -1/4 (* (pow v 3) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 3) (+ (* -1/4 (sqrt 2)) (* 1/4 (* (pow v 3) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 3) (+ (* -1/4 (sqrt 2)) (* (pow v 3) (+ (* 1/4 (* (pow v 3) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))>
#<alt (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6)))>
#<alt (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))>
#<alt (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 15))) (sqrt -6)))))>
#<alt (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 15))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 15))) (sqrt -6))))))>
#<alt (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))>
#<alt (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (pow v 9))) (/ (sqrt -1) (sqrt -6)))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))>
#<alt (* 1/4 (sqrt 2))>
#<alt (+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))>
#<alt (* -1/4 (* (sqrt (pow v 13)) (sqrt -6)))>
#<alt (* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))>
#<alt (* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 15))) (/ 1 (sqrt -6)))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))>
#<alt (* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 15))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 21))) (/ 1 (sqrt -6))))))))>
#<alt (* 1/4 (* (sqrt (pow v 13)) (* (sqrt -6) (sqrt -1))))>
#<alt (* -1 (* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* -1 (* (pow v 7) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (pow v 9))) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))>
#<alt (* -1 (* (pow v 7) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) (pow v 5))) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))>
#<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 v>
#<alt v>
#<alt v>
#<alt v>
#<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 2>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (+ 2 (* -6 v))>
#<alt (* -6 v)>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* v (- (* 2 (/ 1 v)) 6))>
#<alt (* 6 v)>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* v (+ 6 (* 2 (/ 1 v))))>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt (* -6 v)>
#<alt v>
#<alt v>
#<alt v>
#<alt v>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	v	@	0	(/ (* (- 1 (* v (* v (* v v)))) (* (sqrt (+ (* v (* v -6)) 2)) 1/4)) (+ (* v v) 1))
1.0ms	v	@	inf	(/ (* (- 1 (* v (* v (* v v)))) (* (sqrt (+ (* v (* v -6)) 2)) 1/4)) (+ (* v v) 1))
1.0ms	v	@	inf	(* (- 1 (* v (* v (* v v)))) (* (sqrt (+ (* v (* v -6)) 2)) 1/4))
1.0ms	v	@	0	(* (+ (* -1/4 (* v v)) 1/4) (sqrt (+ (* v (* v -6)) 2)))
1.0ms	v	@	-inf	(* (- 1 (* v (* v (* v v)))) (* (sqrt (+ (* v (* v -6)) 2)) 1/4))

Compiler

Compiled 500 to 381 computations (23.8% saved)

rewrite423.0ms (4.7%)

Memory

9.9MiB live, 567.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 558×	`lower-fma.f32`
8 548×	`lower-fma.f64`
5 536×	`lower-*.f32`
5 514×	`lower-*.f64`
3 672×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	139
0	52	131
1	175	118
2	1128	118
0	8614	118

Stop Event

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

Counts

17 → 759

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(+.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (*.f64 v v))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (*.f64 v v))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) (.f64 v v) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 v v))))
(fma.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 v v)) (pow.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 (*.f64 v v) #s(literal -6 binary64) #s(literal 2 binary64)))))
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(.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 36 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 v v) #s(literal 6 binary64)))))
(*.f64 v #s(literal -6 binary64))
(*.f64 #s(literal -6 binary64) v)

simplify429.0ms (4.8%)

Memory

6.6MiB live, 555.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 912×	`lower-fma.f64`
10 912×	`lower-fma.f32`
5 780×	`lower-*.f64`
5 780×	`lower-*.f32`
3 998×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	2161
1	979	1982
2	3204	1912
3	7445	1912
0	8059	1810

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 164

Calls

Call 1

Inputs
(* 1/4 (sqrt 2))
(+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (+ (* -1/4 (sqrt 2)) (* (pow v 3) (- (* 3/4 (/ 1 (sqrt 2))) (* 9/8 (/ 1 (pow (sqrt 2) 3)))))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (+ (* -1/4 (sqrt 2)) (* (pow v 3) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 3) (- (* 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 (* (sqrt (pow v 9)) (sqrt -6)))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 13))) (/ 1 (sqrt -6))))))))
(* 1/4 (* (sqrt (pow v 9)) (* (sqrt -6) (sqrt -1))))
(* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 v)) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) v)) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
1/4
(+ 1/4 (* -1/4 (pow v 3)))
(+ 1/4 (* -1/4 (pow v 3)))
(+ 1/4 (* -1/4 (pow v 3)))
(* -1/4 (pow v 3))
(* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))
(* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))
(* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))
(* 1/4 (pow v 3))
(* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))
(* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))
(* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))
v
v
v
v
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(sqrt 2)
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(* (sqrt v) (sqrt -6))
(* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))
(* -1 (* (sqrt v) (* (sqrt -6) (sqrt -1))))
(* -1 (* v (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6)))))))
(* -1 (* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ (sqrt -1) (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))) (* (sqrt (/ 1 (pow v 3))) (/ (sqrt -1) (sqrt -6))))))))
(* 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 3)))
(+ 1 (* -5/2 (pow v 3)))
(+ 1 (* -5/2 (pow v 3)))
(* -5/2 (pow v 3))
(* (pow v 3) (- (/ 1 (pow v 3)) 5/2))
(* (pow v 3) (- (/ 1 (pow v 3)) 5/2))
(* (pow v 3) (- (/ 1 (pow v 3)) 5/2))
(* 5/2 (pow v 3))
(* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))
(* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))
(* (pow v 3) (+ 5/2 (/ 1 (pow v 3))))
(* -5/2 v)
(* -5/2 v)
(* -5/2 v)
(* -5/2 v)
v
v
v
v
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* 1/4 (sqrt 2))
(+ (* -5/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* -5/8 (* v (sqrt 2))) (* 1/4 (sqrt 2)))
(* -5/8 (* v (sqrt 2)))
(* v (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(* v (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(* v (+ (* -5/8 (sqrt 2)) (* 1/4 (/ (sqrt 2) v))))
(* 5/8 (* v (sqrt 2)))
(* -1 (* v (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
(* -1 (* v (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
(* -1 (* v (+ (* -5/8 (sqrt 2)) (* -1/4 (/ (sqrt 2) v)))))
1/4
(+ 1/4 (* -5/8 (pow v 3)))
(+ 1/4 (* -5/8 (pow v 3)))
(+ 1/4 (* -5/8 (pow v 3)))
(* -5/8 (pow v 4))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))
(* -5/8 (pow v 4))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))
(* (pow v 4) (- (* 1/4 (/ 1 (pow v 4))) 5/8))
(* 1/4 (sqrt 2))
(+ (* -1/4 (* (pow v 3) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 3) (+ (* -1/4 (sqrt 2)) (* 1/4 (* (pow v 3) (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2)))))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 3) (+ (* -1/4 (sqrt 2)) (* (pow v 3) (+ (* 1/4 (* (pow v 3) (+ (sqrt 2) (* 3 (/ 1 (sqrt 2)))))) (* 1/4 (- (* -1 (sqrt 2)) (* 3 (/ 1 (sqrt 2))))))))))
(* -1/4 (* (sqrt (/ 1 v)) (sqrt -6)))
(+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))
(+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 15))) (sqrt -6)))))
(+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 15))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 15))) (sqrt -6))))))
(* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))
(+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (pow v 9))) (/ (sqrt -1) (sqrt -6)))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))
(* 1/4 (sqrt 2))
(+ (* -3/4 (/ (pow v 2) (sqrt 2))) (* 1/4 (sqrt 2)))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* -9/8 (/ (pow v 2) (pow (sqrt 2) 3))) (* 3/4 (/ 1 (sqrt 2))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 2) (- (* (pow v 2) (- (* -27/8 (/ (pow v 2) (pow (sqrt 2) 5))) (* 9/8 (/ 1 (pow (sqrt 2) 3))))) (* 3/4 (/ 1 (sqrt 2))))))
(* -1/4 (* (sqrt (pow v 13)) (sqrt -6)))
(* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))
(* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 15))) (/ 1 (sqrt -6)))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))
(* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 15))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 21))) (/ 1 (sqrt -6))))))))
(* 1/4 (* (sqrt (pow v 13)) (* (sqrt -6) (sqrt -1))))
(* -1 (* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 7) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (pow v 9))) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(* -1 (* (pow v 7) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) (pow v 5))) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
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))
v
v
v
v
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
2
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(+ 2 (* -6 v))
(* -6 v)
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* v (- (* 2 (/ 1 v)) 6))
(* 6 v)
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* v (+ 6 (* 2 (/ 1 v))))
(* -6 v)
(* -6 v)
(* -6 v)
(* -6 v)
v
v
v
v
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)

Outputs
(* 1/4 (sqrt 2))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (* -1/4 (sqrt 2)) (* 3/4 (/ 1 (sqrt 2))))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (*.f64 v v)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (+ (* -1/4 (sqrt 2)) (* (pow v 3) (- (* 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 (.f64 v (.f64 v v)) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (.f64 (fma.f64 (.f64 v (.f64 v 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)))) (.f64 v (*.f64 v v))))
(+ (* 1/4 (sqrt 2)) (* (pow v 3) (- (+ (* -1/4 (sqrt 2)) (* (pow v 3) (- (+ (* 3/4 (/ 1 (sqrt 2))) (* (pow v 3) (- (* 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 (.f64 v (.f64 v v)) (fma.f64 (.f64 v (.f64 v v)) (fma.f64 (.f64 v (.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))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (* (sqrt (pow v 9)) (sqrt -6)))
(.f64 (sqrt.f64 (pow.f64 v #s(literal 9 binary64))) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6)))))
(.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (pow.f64 v #s(literal 5 binary64))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)))))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64)))))))
(* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 7))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 13))) (/ 1 (sqrt -6))))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 13 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 #s(literal -6 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal -6 binary64))))))))
(* 1/4 (* (sqrt (pow v 9)) (* (sqrt -6) (sqrt -1))))
(.f64 (sqrt.f64 (pow.f64 v #s(literal 9 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(* -1 (* (pow v 5) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))))) (pow.f64 v #s(literal 5 binary64))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 v)) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v (*.f64 v v)))))) (neg.f64 (pow.f64 v #s(literal 5 binary64))))
(* -1 (* (pow v 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) v)) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (sqrt.f64 v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64))))))) v)) (.f64 v (.f64 v v)))) (neg.f64 (pow.f64 v #s(literal 5 binary64))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/4 (pow v 3)))
(fma.f64 (.f64 v (.f64 v v)) #s(literal -1/4 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -1/4 (pow v 3)))
(fma.f64 (.f64 v (.f64 v v)) #s(literal -1/4 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -1/4 (pow v 3)))
(fma.f64 (.f64 v (.f64 v v)) #s(literal -1/4 binary64) #s(literal 1/4 binary64))
(* -1/4 (pow v 3))
(.f64 (.f64 v (*.f64 v v)) #s(literal -1/4 binary64))
(* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))
(fma.f64 (.f64 v (.f64 v v)) #s(literal -1/4 binary64) #s(literal 1/4 binary64))
(* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))
(fma.f64 (.f64 v (.f64 v v)) #s(literal -1/4 binary64) #s(literal 1/4 binary64))
(* (pow v 3) (- (* 1/4 (/ 1 (pow v 3))) 1/4))
(fma.f64 (.f64 v (.f64 v v)) #s(literal -1/4 binary64) #s(literal 1/4 binary64))
(* 1/4 (pow v 3))
(.f64 #s(literal 1/4 binary64) (.f64 v (*.f64 v v)))
(* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v v)) #s(literal 1/4 binary64))
(* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v v)) #s(literal 1/4 binary64))
(* (pow v 3) (+ 1/4 (* 1/4 (/ 1 (pow v 3)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 v (.f64 v v)) #s(literal 1/4 binary64))
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)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* -3 (/ v (sqrt 2))))
(fma.f64 v (/.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* v (- (* -9/2 (/ v (pow (sqrt 2) 3))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 v (fma.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) (* v (- (* v (- (* -27/2 (/ v (pow (sqrt 2) 5))) (* 9/2 (/ 1 (pow (sqrt 2) 3))))) (* 3 (/ 1 (sqrt 2))))))
(fma.f64 v (fma.f64 v (fma.f64 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)))
(* (sqrt v) (sqrt -6))
(*.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 v))
(* v (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))
(.f64 v (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 v (*.f64 v v)))) (sqrt.f64 #s(literal -6 binary64)))))
(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6))))))
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(* v (+ (* -1/2 (* (sqrt (/ 1 (pow v 5))) (/ 1 (pow (sqrt -6) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow v 7))) (/ 1 (pow (sqrt -6) 5)))) (+ (* (sqrt (/ 1 v)) (sqrt -6)) (* (sqrt (/ 1 (pow v 3))) (/ 1 (sqrt -6)))))))
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(.f64 (pow.f64 v #s(literal 7 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 15 binary64)))) (sqrt.f64 #s(literal -6 binary64))) (.f64 (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)))))))
(* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (sqrt -6))) (+ (* -1/4 (* (sqrt (/ 1 (pow v 15))) (/ 1 (sqrt -6)))) (+ (* 1/4 (* (sqrt (/ 1 (pow v 7))) (sqrt -6))) (* 1/4 (* (sqrt (/ 1 (pow v 21))) (/ 1 (sqrt -6))))))))
(.f64 (pow.f64 v #s(literal 7 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -6 binary64))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 15 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 21 binary64)))))) (.f64 (sqrt.f64 #s(literal -6 binary64)) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)))))))
(* 1/4 (* (sqrt (pow v 13)) (* (sqrt -6) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 v #s(literal 13 binary64)))))
(* -1 (* (pow v 7) (+ (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* -1/4 (* (sqrt (/ 1 (pow v 7))) (* (sqrt -6) (sqrt -1)))))))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 7 binary64)))))) (pow.f64 v #s(literal 7 binary64))))
(* -1 (* (pow v 7) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (pow v 9))) (/ (sqrt -1) (sqrt -6))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal -6 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 9 binary64))))) (sqrt.f64 #s(literal -6 binary64)))) (.f64 v (.f64 v v))) (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) v))))) (neg.f64 (pow.f64 v #s(literal 7 binary64))))
(* -1 (* (pow v 7) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt v) (/ (sqrt -1) (sqrt -6)))) (* -1/4 (* (sqrt (/ 1 (pow v 5))) (/ (sqrt -1) (sqrt -6))))) (pow v 5))) (* 1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1))))) (pow v 3))) (* -1/4 (* (sqrt (/ 1 v)) (* (sqrt -6) (sqrt -1)))))))
(.f64 (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) v)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -6 binary64))) (+.f64 (sqrt.f64 v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64)))))) (pow.f64 v #s(literal 5 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) v)) (.f64 (sqrt.f64 #s(literal -6 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 v (.f64 v v)))) (neg.f64 (pow.f64 v #s(literal 7 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))
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)
2
#s(literal 2 binary64)
(+ 2 (* -6 v))
(fma.f64 v #s(literal -6 binary64) #s(literal 2 binary64))
(+ 2 (* -6 v))
(fma.f64 v #s(literal -6 binary64) #s(literal 2 binary64))
(+ 2 (* -6 v))
(fma.f64 v #s(literal -6 binary64) #s(literal 2 binary64))
(* -6 v)
(*.f64 v #s(literal -6 binary64))
(* v (- (* 2 (/ 1 v)) 6))
(fma.f64 v #s(literal -6 binary64) #s(literal 2 binary64))
(* v (- (* 2 (/ 1 v)) 6))
(fma.f64 v #s(literal -6 binary64) #s(literal 2 binary64))
(* v (- (* 2 (/ 1 v)) 6))
(fma.f64 v #s(literal -6 binary64) #s(literal 2 binary64))
(* 6 v)
(*.f64 v #s(literal 6 binary64))
(* v (+ 6 (* 2 (/ 1 v))))
(fma.f64 v #s(literal 6 binary64) #s(literal 2 binary64))
(* v (+ 6 (* 2 (/ 1 v))))
(fma.f64 v #s(literal 6 binary64) #s(literal 2 binary64))
(* v (+ 6 (* 2 (/ 1 v))))
(fma.f64 v #s(literal 6 binary64) #s(literal 2 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))
v
v
v
v
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)
(* -1 v)
(neg.f64 v)

eval179.0ms (2%)

Memory: -23.2MiB live, 272.6MiB allocated
Compiler: Compiled 35 020 to 2 824 computations (91.9% saved)

prune111.0ms (1.2%)

Memory

28.9MiB live, 304.4MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 064	1	1 065
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	1 066	4	1 070

Accuracy

100.0%

Counts

1 070 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
▶	99.0%	(.f64 (fma.f64 (.f64 v #s(literal -5/8 binary64)) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	98.6%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 55 to 40 computations (27.3% saved)

simplify24.0ms (0.3%)

Memory

-32.5MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

70×	`lower-*.f32`
66×	`lower-*.f64`
32×	`lower-fma.f32`
30×	`*-commutative`
30×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	18	24
2	29	24
3	47	24
4	68	24
0	68	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

31.4MiB live, 31.4MiB allocated

Localize:

Found 4 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	16.6%	(.f64 (fma.f64 (.f64 v #s(literal -5/8 binary64)) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	1.6%	(fma.f64 (*.f64 v #s(literal -5/8 binary64)) v #s(literal 1/4 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 53 to 19 computations (64.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (62.1% of total)

ival-sqrt: 2.0ms (24.8% of total)

ival-add: 1.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

Compiler

Compiled 77 to 65 computations (15.6% saved)

rewrite416.0ms (4.6%)

Memory

1.1MiB live, 741.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 866×	`lower-fma.f32`
12 864×	`lower-fma.f64`
4 680×	`lower-*.f32`
4 676×	`lower-*.f64`
3 564×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	13	20
1	35	20
2	180	20
3	1517	20
0	8325	20

Stop Event

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

Counts

4 → 245

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (.f64 v #s(literal 5/8 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)))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v (.f64 v #s(literal 5/8 binary64))) (sqrt.f64 #s(literal 2 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)))) (fma.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 v (.f64 (.f64 v #s(literal -5/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -5/8 binary64) (.f64 (.f64 v v) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 v #s(literal -5/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 v #s(literal -5/8 binary64)) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 v #s(literal -5/8 binary64)) (*.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v (.f64 v #s(literal -5/8 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 v (.f64 v #s(literal -5/8 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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 v (.f64 v #s(literal -5/8 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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 (.f64 v #s(literal -5/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 v v) (.f64 #s(literal -5/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) v) (.f64 v #s(literal -5/8 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -5/8 binary64)) (.f64 v v) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v #s(literal -5/8 binary64))) v (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 v v)) #s(literal -5/8 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 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 (.f64 v #s(literal -5/8 binary64)) (.f64 v (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 v (.f64 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 #s(literal 1/4 binary64) (sqrt.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal -1/16 binary64)) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125/512 binary64)) #s(literal -1/64 binary64))) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) (fma.f64 (*.f64 v v) #s(literal -5/32 binary64) #s(literal 1/16 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 v (.f64 v #s(literal -5/8 binary64))) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) #s(literal -1953125/134217728 binary64)) #s(literal 1/262144 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 15625/262144 binary64)) #s(literal 1/4096 binary64)) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal -125/32768 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 v (.f64 v #s(literal -5/8 binary64))) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/16 binary64)) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 15625/262144 binary64)) #s(literal -1/4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -125/512 binary64)) #s(literal -1/64 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 15625/262144 binary64)) #s(literal -1/4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 625/4096 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (.f64 v v) (.f64 (*.f64 v v) #s(literal 25/1024 binary64)) #s(literal 1/256 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 625/4096 binary64))) #s(literal -1/256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 25/64 binary64)) #s(literal 1/16 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5/8 binary64)) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))
(*.f64 v #s(literal -5/8 binary64))
(*.f64 #s(literal -5/8 binary64) v)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 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 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 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))))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (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)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))

simplify369.0ms (4.1%)

Memory

-7.9MiB live, 329.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 048×	`lower-fma.f64`
4 048×	`lower-fma.f32`
2 504×	`lower-*.f64`
2 504×	`lower-*.f32`
1 894×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	246
1	84	228
2	184	228
3	357	192
4	626	186
5	1341	186
6	2431	186
7	4620	186
8	5909	186
9	6421	186
10	6511	186
11	6601	186
12	6637	186
13	7312	186
14	7531	186
15	7553	186
16	7557	186
17	7557	186
18	7557	186
19	7557	186
20	7973	186
0	8274	168

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 32

Calls

Call 1

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

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

eval150.0ms (1.7%)

Memory: 8.4MiB live, 85.7MiB allocated
Compiler: Compiled 10 503 to 835 computations (92% saved)

prune52.0ms (0.6%)

Memory

-27.7MiB live, 91.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	276	1	277
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	276	5	281

Accuracy

100.0%

Counts

281 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 (sqrt.f64 (fma.f64 v (.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (fma.f64 v v #s(literal 1 binary64)))
✓	99.0%	(.f64 (fma.f64 (.f64 v #s(literal -5/8 binary64)) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	98.6%	(*.f64 (fma.f64 (neg.f64 v) v #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	100.0%	(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 v v) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v #s(literal -6 binary64)) #s(literal 2 binary64))))
✓	98.6%	(*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 242 to 108 computations (55.4% saved)

regimes12.0ms (0.1%)

Memory

28.5MiB live, 28.5MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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)))

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)

regimes9.0ms (0.1%)

Memory

-17.7MiB live, 21.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms

(*.f64 v v)

3.0ms

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)))

Results

Accuracy	Segments	Branch
99.0%	1	`v`
99.0%	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)))`
99.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (neg.f64 v) v #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
98.6%	1	`v`
98.6%	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)))`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes4.0ms (0%)

Memory

11.7MiB live, 11.7MiB 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
98.6%	1	`v`
98.6%	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)))`
98.6%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify8.0ms (0.1%)

Memory

-24.5MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	35
1	30	35
2	32	35
3	33	35

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (13.7%)

Memory

2.6MiB live, 600.4MiB allocated

Rules

19 404×	`lower-fma.f64`
19 404×	`lower-fma.f32`
8 826×	`lower-fma.f32`
8 820×	`lower-fma.f64`
8 558×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	139
0	52	131
1	175	118
2	1128	118
0	8614	118
0	24	133
0	44	133
1	142	129
2	889	128
0	8663	121
0	142	886
1	442	845
2	1747	796
3	4905	735
0	8581	703
0	14	51
0	23	51
1	80	49
2	492	49
3	4847	49
0	8499	45
0	36	246
1	84	228
2	184	228
3	357	192
4	626	186
5	1341	186
6	2431	186
7	4620	186
8	5909	186
9	6421	186
10	6511	186
11	6601	186
12	6637	186
13	7312	186
14	7531	186
15	7553	186
16	7557	186
17	7557	186
18	7557	186
19	7557	186
20	7973	186
0	8274	168

Stop Event

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

Compiler

Compiled 94 to 68 computations (27.7% saved)

preprocess88.0ms (1%)

Memory: 23.9MiB live, 106.0MiB allocated
Remove: (abs v)
Compiler: Compiled 172 to 112 computations (34.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

sample1.1s (12.4%)

preprocess543.0ms (6.1%)

explain369.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify304.0ms (3.4%)

localize48.0ms (0.5%)

series9.0ms (0.1%)

rewrite273.0ms (3%)

simplify501.0ms (5.6%)

eval59.0ms (0.7%)

prune53.0ms (0.6%)

simplify335.0ms (3.7%)

localize86.0ms (1%)

series23.0ms (0.3%)

rewrite364.0ms (4.1%)

simplify441.0ms (4.9%)

eval193.0ms (2.2%)

prune152.0ms (1.7%)

simplify253.0ms (2.8%)

localize294.0ms (3.3%)

series21.0ms (0.2%)

rewrite423.0ms (4.7%)

simplify429.0ms (4.8%)

eval179.0ms (2%)

prune111.0ms (1.2%)

simplify24.0ms (0.3%)

localize23.0ms (0.3%)

series3.0ms (0%)

rewrite416.0ms (4.6%)

simplify369.0ms (4.1%)

eval150.0ms (1.7%)

prune52.0ms (0.6%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify8.0ms (0.1%)

soundness1.2s (13.7%)

preprocess88.0ms (1%)

end0.0ms (0%)

Profiling