Metrics for normal distribution

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.2%)

Memory

-13.0MiB live, 28.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	6.2%	93.8%	0%	0%	0%	0
0%	0%	6.2%	93.8%	0%	0%	0%	1
50%	3.1%	3.1%	93.8%	0%	0%	0%	2
50%	3.1%	3.1%	93.8%	0%	0%	0%	3
75%	4.7%	1.6%	93.8%	0%	0%	0%	4
75%	4.7%	1.6%	93.8%	0%	0%	0%	5
87.5%	5.5%	0.8%	93.8%	0%	0%	0%	6
87.5%	5.5%	0.8%	93.8%	0%	0%	0%	7
93.8%	5.8%	0.4%	93.8%	0%	0%	0%	8
93.8%	5.8%	0.4%	93.8%	0%	0%	0%	9
96.9%	6%	0.2%	93.8%	0%	0%	0%	10
96.9%	6%	0.2%	93.8%	0%	0%	0%	11
98.4%	6.1%	0.1%	93.8%	0%	0%	0%	12

Compiler

Compiled 35 to 27 computations (22.9% saved)

sample2.2s (19.7%)

Memory

44.4MiB live, 1 622.5MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 474.0ms (32.2% of total)

ival-<=: 263.0ms (17.9% of total)

ival-sqrt: 236.0ms (16.1% of total)

ival-log: 229.0ms (15.6% of total)

ival-div: 98.0ms (6.7% of total)

ival-cos: 60.0ms (4.1% of total)

ival-add: 38.0ms (2.6% of total)

ival-pi: 28.0ms (1.9% of total)

exact: 22.0ms (1.5% of total)

ival-and: 20.0ms (1.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain182.0ms (1.6%)

Memory

10.1MiB live, 248.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
-	-	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
-	-	`u1`
-	-	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
-	-	`#s(literal 1/2 binary64)`
-	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
-	-	`(PI.f64)`
-	-	`u2`
-	-	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
-	-	`#s(literal 6 binary64)`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal -2 binary64)`
-	-	`(log.f64 u1)`
-	-	`(*.f64 #s(literal 2 binary64) (PI.f64))`
-	-	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 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

59.0ms

512×

valid

Compiler

Compiled 191 to 58 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 14.0ms (37.2% of total)

ival-log: 7.0ms (18.6% of total)

ival-div: 4.0ms (10.6% of total)

ival-cos: 4.0ms (10.6% of total)

ival-sqrt: 3.0ms (8% of total)

ival-pi: 2.0ms (5.3% of total)

ival-add: 2.0ms (5.3% of total)

exact: 1.0ms (2.7% of total)

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

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

preprocess33.0ms (0.3%)

Memory

-0.9MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Rules

118×	`sub-neg`
110×	`associate-l`
92×	`*-commutative`
86×	`associate-r`
82×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	86
1	88	82
2	194	82
3	374	82
4	440	82
5	503	82
6	585	82
7	626	82
8	682	82
9	704	82
10	704	82
0	18	17
0	30	16
1	43	16
2	57	16
3	61	16
0	61	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs

(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

Outputs

(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))

Symmetry

(abs u2)

Compiler

Compiled 21 to 18 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

Status

Accuracy

Program

▶

99.4%

(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify5.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff	5824	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Rules

52×	`lower-*.f32`
42×	`lower-*.f64`
22×	`*-commutative`
12×	`lower-fma.f64`
12×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	30	71
1	43	71
2	57	71
3	61	71
0	61	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
u2

Outputs
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
u2

localize49.0ms (0.4%)

Memory

12.1MiB live, 65.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
accuracy	0.1484375	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy	0.25	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.3828125	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))

Samples

32.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

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

ival-mult: 7.0ms (32% of total)

ival-log: 7.0ms (32% of total)

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

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

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

ival-pi: 1.0ms (4.6% of total)

ival-add: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.7%)

Memory

-5.5MiB live, 127.7MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (sqrt 2)) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (sqrt 2)) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (sqrt 2)) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (log (/ 1 u1))) (sqrt 2)) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())) ())
#s(alt (* 2 (* u2 (PI))) (taylor -inf u2) (#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
25.0ms	u1	@	0	(pow (* -2 (log u1)) 1/2)
19.0ms	u1	@	-inf	(pow (* -2 (log u1)) 1/2)
15.0ms	u2	@	inf	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
6.0ms	u1	@	inf	(pow (* -2 (log u1)) 1/2)
2.0ms	u1	@	0	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)

simplify651.0ms (5.8%)

Memory

23.2MiB live, 532.2MiB allocated

Algorithm

1×	egg-herbie

Rules

43 450×	`lower-fma.f64`
43 450×	`lower-fma.f32`
7 804×	`lower-+.f64`
7 804×	`lower-+.f32`
5 834×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	1292
1	205	1260
2	623	1232
3	2201	1204
4	2811	1198
5	3922	1198
6	5352	1198
7	5480	1198
8	5542	1198
9	5559	1198
10	5565	1198
11	5565	1198
12	7993	1198
13	7993	1198
14	7993	1198
0	8013	1162

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))

Outputs
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 u2 u2)) (.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 u2 u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))

rewrite134.0ms (1.2%)

Memory

-1.0MiB live, 141.7MiB allocated

Rules

2 664×	`lower-fma.f64`
2 664×	`lower-fma.f32`
2 636×	`lower-*.f32`
2 626×	`lower-*.f64`
550×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
0	30	48
1	81	48
2	372	48
0	2866	47

Stop Event

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

Counts

6 → 176

Calls

Call 1

Inputs
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64) (.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 u1))))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
#s(literal 1/6 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
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(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
(.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))
(.f64 (PI.f64) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) u2)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) u2)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))) u2))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (*.f64 u2 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) u2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) u2) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) u2) (PI.f64))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 u2 (cbrt.f64 (PI.f64))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 u2 (sqrt.f64 (PI.f64))))
(.f64 (.f64 u2 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 u2 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(.f64 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))))
(.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 u2 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) u2) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) u2) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

eval31.0ms (0.3%)

Memory: 4.8MiB live, 48.2MiB allocated
Compiler: Compiled 7 687 to 694 computations (91% saved)

prune59.0ms (0.5%)

Memory

14.6MiB live, 111.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	244	16	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	245	16	261

Accuracy

100.0%

Counts

261 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶	99.2%	(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
▶	99.2%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
	98.9%	(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 6 binary64)) #s(literal -1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))) #s(literal 2 binary64))))))
	98.5%	(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
	99.1%	(+.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶	99.2%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶	99.5%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.1%	(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
▶	0.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

Compiler

Compiled 1 012 to 644 computations (36.4% saved)

simplify297.0ms (2.7%)

Memory

-27.8MiB live, 319.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
cost-diff	128	(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
cost-diff	15872	(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
cost-diff	0	(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
cost-diff	64	(fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff	12288	(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(log.f64 u1)
cost-diff	0	(sqrt.f64 (log.f64 u1))
cost-diff	0	(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))

Rules

5 488×	`lower-*.f32`
5 462×	`lower-*.f64`
4 034×	`lower-fma.f32`
4 026×	`lower-fma.f64`
2 666×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	590
0	106	561
1	169	555
2	234	555
3	443	555
4	1273	555
5	2817	555
6	4443	555
7	7424	555
0	8047	552

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (log.f64 u1))
(log.f64 u1)
u1
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
(sqrt.f64 #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
#s(literal -1/4 binary64)
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
#s(literal 1/36 binary64)
(/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)

Outputs
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (log.f64 u1))
(log.f64 u1)
u1
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
(sqrt.f64 #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
#s(literal -1/4 binary64)
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
#s(literal 1/36 binary64)
(/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)

localize348.0ms (3.1%)

Memory

-4.6MiB live, 378.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
accuracy	61.998490585128856	(PI.f64)
accuracy	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
accuracy	61.998490585128856	(PI.f64)
accuracy	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	61.998490585128856	(PI.f64)
accuracy	0	(sqrt.f64 (log.f64 u1))
accuracy	0	(sqrt.f64 #s(literal -2 binary64))
accuracy	0	(log.f64 u1)
accuracy	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	0	#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	61.998490585128856	(PI.f64)

Samples

164.0ms

256×

invalid

Compiler

Compiled 580 to 55 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

const: 64.0ms (47.8% of total)

ival-mult: 23.0ms (17.2% of total)

ival-sqrt: 9.0ms (6.7% of total)

ival-add: 8.0ms (6% of total)

ival-div: 7.0ms (5.2% of total)

ival-pow2: 5.0ms (3.7% of total)

ival-pow: 5.0ms (3.7% of total)

ival-log: 4.0ms (3% of total)

ival-cos: 4.0ms (3% of total)

ival-pi: 2.0ms (1.5% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.7% of total)

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

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

series87.0ms (0.8%)

Memory

3.0MiB live, 94.9MiB allocated

Counts

25 → 408

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (log.f64 u1)) (patch (sqrt.f64 (log.f64 u1)) #<representation binary64>) () ())
#s(alt (log.f64 u1) (patch (log.f64 u1) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))) (patch (fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))) (patch (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (patch (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)) (patch (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal -2 binary64)) (patch (sqrt.f64 #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) (log.f64 u1)) (patch (.f64 #s(literal -2 binary64) (log.f64 u1)) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (patch (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (patch (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #<representation binary64>) () ())

Outputs
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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Calls

102 calls:

Time	Variable		Point	Expression
18.0ms	u2	@	0	(cos (* (* 2 (PI)) u2))
15.0ms	u1	@	-inf	(+ (* 1/36 (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))) (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))))
4.0ms	u2	@	0	(+ (* 1/36 (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))) (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))))
2.0ms	u2	@	0	(/ (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
2.0ms	u1	@	inf	(+ (* 1/36 (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))) (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))))

simplify539.0ms (4.8%)

Memory

-32.1MiB live, 360.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 476×	`lower-*.f64`
9 476×	`lower-*.f32`
9 074×	`lower-fma.f64`
9 074×	`lower-fma.f32`
4 148×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	11265
1	1225	10220
2	4679	10211
0	9055	9701

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))

Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/3 binary64) (.f64 u2 u2)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 u2 u2)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -2/135 binary64) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -1/3 binary64) (.f64 u2 u2)) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 u2 u2)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -2/135 binary64) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))))))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
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(fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (.f64 u2 u2) (fma.f64 u2 (.f64 u2 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (.f64 u2 u2) (fma.f64 u2 (.f64 u2 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) u2)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))

rewrite588.0ms (5.3%)

Memory

16.4MiB live, 715.8MiB allocated

Rules

4 586×	`lower-*.f32`
4 586×	`lower-fma.f32`
4 578×	`lower-fma.f64`
4 560×	`lower-*.f64`
4 420×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	362
0	106	292
1	332	292
2	1724	289
0	8487	282

Stop Event

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

Counts

25 → 1 348

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (log.f64 u1))
(log.f64 u1)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(PI.f64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(sqrt.f64 #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))

Outputs
#s(literal 1/6 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (fma.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64))))) (/.f64 (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64))))))
(fma.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)))))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) #s(literal 6 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) u2)) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) u2)) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) #s(literal 4 binary64)) (pow.f64 (sin.f64 (.f64 (PI.f64) u2)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) #s(literal 6 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) #s(literal 4 binary64)) (-.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) u2))) (sin.f64 (.f64 (PI.f64) u2))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) u2))) (sin.f64 (.f64 (PI.f64) u2))) (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) u2))) (sin.f64 (.f64 (PI.f64) u2)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) u2))) (sin.f64 (*.f64 (PI.f64) u2)))))))
(pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1 binary64))
(.f64 (+.f64 (cos.f64 (.f64 (PI.f64) u2)) (sin.f64 (.f64 (PI.f64) u2))) (-.f64 (cos.f64 (.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))))
(.f64 (pow.f64 (+.f64 (cos.f64 (.f64 (PI.f64) u2)) (sin.f64 (.f64 (PI.f64) u2))) #s(literal 1 binary64)) (pow.f64 (-.f64 (cos.f64 (.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) #s(literal 1 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 u1)) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 (log.f64 u1)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (log.f64 u1) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 (log.f64 u1) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))

eval434.0ms (3.9%)

Memory: 16.4MiB live, 751.0MiB allocated
Compiler: Compiled 156 894 to 4 936 computations (96.9% saved)

prune429.0ms (3.9%)

Memory

12.7MiB live, 537.1MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	2 706	16	2 722
Fresh	8	3	11
Picked	5	0	5
Done	0	0	0
Total	2 719	19	2 738

Accuracy

100.0%

Counts

2 738 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(fma.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	97.9%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) #s(approx (cos (* 2 (* (PI) u2))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
▶	97.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.5%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	98.2%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
▶	99.5%	(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	99.1%	(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
▶	99.0%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
▶	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))))

Compiler

Compiled 942 to 662 computations (29.7% saved)

simplify21.0ms (0.2%)

Memory

-14.9MiB live, 30.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
cost-diff	448	(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
cost-diff	12800	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64)))
cost-diff	128	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff	12288	(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
cost-diff	320	(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
cost-diff	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff	128	(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

Rules

286×	`lower-*.f32`
264×	`lower-*.f64`
140×	`lower-fma.f32`
132×	`lower-fma.f64`
124×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	465
0	99	446
1	150	433
2	207	431
3	266	431
4	311	431
5	362	431
6	376	431
7	425	431
8	427	431
0	427	426

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 1/6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
#s(literal -1/2 binary64)
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
#s(literal -1 binary64)

Outputs
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 #s(literal 1/6 binary64) (.f64 #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
#s(literal 1/6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
#s(literal -1/2 binary64)
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(log.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
(neg.f64 (log.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
#s(literal -1 binary64)

localize174.0ms (1.6%)

Memory

-0.9MiB live, 258.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(*.f64 (PI.f64) u2)
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
accuracy	0.3828125	(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
accuracy	0.41015625	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
accuracy	0.05078125	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
accuracy	0.3828125	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.5364837890737681	(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.8429627729275982	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
accuracy	0.40234375	(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
accuracy	0.4661712890737681	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
accuracy	0.4853388304628639	(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
accuracy	0.8094496179870553	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
accuracy	0	(log.f64 u1)
accuracy	0.1484375	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
accuracy	0.359375	(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.8094496179870553	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0.12109375	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.25	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.3828125	(.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.4560737793053261	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))

Samples

97.0ms

256×

valid

Compiler

Compiled 425 to 53 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 21.0ms (29.2% of total)

ival-add: 9.0ms (12.5% of total)

const: 9.0ms (12.5% of total)

ival-log: 7.0ms (9.7% of total)

ival-div: 5.0ms (7% of total)

ival-sqrt: 5.0ms (7% of total)

ival-pow: 5.0ms (7% of total)

ival-cos: 4.0ms (5.6% of total)

ival-exp: 3.0ms (4.2% of total)

ival-pow2: 3.0ms (4.2% of total)

ival-pi: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series254.0ms (2.3%)

Memory

33.4MiB live, 296.0MiB allocated

Counts

29 → 456

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) (patch (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (patch (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (patch (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) (log.f64 u1)) (patch (.f64 #s(literal -2 binary64) (log.f64 u1)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) (patch #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) (patch (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2) #<representation binary64>) () ())
#s(alt (sqrt.f64 (neg.f64 (log.f64 u1))) (patch (sqrt.f64 (neg.f64 (log.f64 u1))) #<representation binary64>) () ())
#s(alt (log.f64 u1) (patch (log.f64 u1) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())

Outputs
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (cos (* 2 (* u2 (PI)))) (taylor inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (cos (* 2 (* u2 (PI)))) (taylor -inf u2) (#s(alt #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) (patch #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (log u1)) 1/4) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (log u1)) 1/4) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (log u1)) 1/4) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (log u1)) 1/4) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 2 (log (/ 1 u1))) 1/4) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 2 (log (/ 1 u1))) 1/4) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 2 (log (/ 1 u1))) 1/4) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 2 (log (/ 1 u1))) 1/4) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())

Calls

114 calls:

Time	Variable		Point	Expression
84.0ms	u1	@	-inf	(log (/ 1 (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))) 1/2)))
24.0ms	u2	@	inf	(log (/ 1 (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))) 1/2)))
22.0ms	u1	@	0	(log (/ 1 (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))) 1/2)))
20.0ms	u1	@	inf	(log (/ 1 (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))) 1/2)))
18.0ms	u2	@	-inf	(log (/ 1 (+ (* (cos (* 2 (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))) 1/2)))

simplify412.0ms (3.7%)

Memory

-54.2MiB live, 449.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 240×	`lower-fma.f64`
11 240×	`lower-fma.f32`
7 626×	`lower-*.f64`
7 626×	`lower-*.f32`
4 956×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	8464
1	746	8167
2	2923	8037
0	8171	7646

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))

Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 u2 u2))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(fma.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -2/135 binary64) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 u2 u2))) #s(literal 1/2 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 u2 u2))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(fma.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(fma.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -2/135 binary64) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (.f64 u2 u2)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -2 binary64) (*.f64 u2 u2)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))

rewrite317.0ms (2.8%)

Memory

33.2MiB live, 397.0MiB allocated

Rules

6 942×	`lower-fma.f32`
6 934×	`lower-fma.f64`
4 518×	`lower-*.f32`
4 496×	`lower-*.f64`
3 264×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	363
0	99	313
1	307	312
2	1439	310
0	8815	307

Stop Event

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

Counts

29 → 818

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(log.f64 u1)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (PI.f64) u2)

Outputs
(+.f64 #s(literal 1/2 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(exp.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (PI.f64) u2)
(*.f64 u2 (PI.f64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) u2))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) u2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) u2))
(.f64 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

eval286.0ms (2.6%)

Memory: 39.0MiB live, 358.6MiB allocated
Compiler: Compiled 44 101 to 3 299 computations (92.5% saved)

prune202.0ms (1.8%)

Memory

40.1MiB live, 488.6MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 582	14	1 596
Fresh	12	2	14
Picked	3	2	5
Done	0	0	0
Total	1 597	18	1 615

Accuracy

100.0%

Counts

1 615 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	98.2%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	99.5%	(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
	96.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
	97.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))))
▶	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
▶	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
▶	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
	97.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))

Compiler

Compiled 686 to 516 computations (24.8% saved)

simplify406.0ms (3.6%)

Memory

-56.6MiB live, 112.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
cost-diff	8576	(-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
cost-diff	0	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
cost-diff	0	(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	12288	(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
cost-diff	128	(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Rules

1 096×	`lower-fma.f32`
1 088×	`lower-fma.f64`
800×	`lower-*.f32`
788×	`lower-*.f64`
558×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	412
0	78	371
1	123	371
2	179	371
3	257	371
4	364	371
5	578	367
6	1099	367
7	1756	367
8	2365	367
9	2537	367
10	2634	367
11	2682	367
12	2723	367
13	2726	367
0	2726	361

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
#s(literal 1/4 binary64)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(log.f64 u1)
u1
#s(literal -1/18 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
#s(literal 1/2 binary64)
(.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
#s(literal -1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(log.f64 u1)
u1
#s(literal -1/18 binary64)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)

Outputs
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
#s(literal 2 binary64)
(*.f64 (PI.f64) u2)
(PI.f64)
u2
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(log.f64 u1)
u1
#s(literal -1/18 binary64)
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(log.f64 u1)
u1
#s(literal -1/18 binary64)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(literal 1/4 binary64)

localize206.0ms (1.8%)

Memory

29.2MiB live, 268.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3834762695368841	(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
accuracy	0.38671875	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
accuracy	0.4853388304628639	(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
accuracy	0.8094496179870553	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
accuracy	0.05078125	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
accuracy	0.359375	(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.5364837890737681	(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.8094496179870553	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0.3828125	(.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
accuracy	0.38671875	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
accuracy	0.4661712890737681	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
accuracy	0.8094496179870553	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
accuracy	0.2734375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
accuracy	0.359375	(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
accuracy	0.8094496179870553	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
accuracy	0.0078125	(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
accuracy	0.1484375	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
accuracy	0.25	(*.f64 (PI.f64) u2)
accuracy	0.359375	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Samples

96.0ms

256×

valid

Compiler

Compiled 365 to 48 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 18.0ms (27.9% of total)

ival-div: 10.0ms (15.5% of total)

const: 9.0ms (13.9% of total)

ival-add: 7.0ms (10.8% of total)

ival-pow: 5.0ms (7.7% of total)

ival-log: 4.0ms (6.2% of total)

ival-cos: 3.0ms (4.6% of total)

ival-pow2: 3.0ms (4.6% of total)

ival-sub: 2.0ms (3.1% of total)

ival-sqrt: 2.0ms (3.1% of total)

ival-pi: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series34.0ms (0.3%)

Memory

-29.5MiB live, 61.0MiB allocated

Counts

23 → 348

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (patch (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) (log.f64 u1)) (patch (.f64 #s(literal -2 binary64) (log.f64 u1)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) (patch (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) (patch (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))) (patch #s(approx (+ ( (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (taylor 0 u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (taylor inf u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (taylor -inf u1) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) (taylor 0 u2) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))) (taylor 0 u2) (#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (taylor inf u1) (#s(alt (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (taylor inf u1) (#s(alt (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (taylor -inf u1) (#s(alt (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (taylor -inf u1) (#s(alt (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (taylor -inf u1) (#s(alt (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (taylor -inf u1) (#s(alt (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (patch (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (log u1)) (taylor 0 u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (log u1)) (taylor 0 u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (log u1)) (taylor 0 u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (log u1)) (taylor 0 u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (log (/ 1 u1))) (taylor inf u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (log (/ 1 u1))) (taylor inf u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (log (/ 1 u1))) (taylor inf u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (log (/ 1 u1))) (taylor inf u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) (taylor -inf u1) (#s(alt (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (patch (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (patch (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (taylor 0 u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (taylor 0 u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (taylor 0 u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (taylor 0 u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (taylor inf u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (taylor inf u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (taylor inf u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (taylor inf u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (taylor -inf u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (taylor -inf u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (taylor -inf u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (taylor -inf u1) (#s(alt (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	-inf	(/ 1 (+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
2.0ms	u1	@	-inf	(- (/ (* (log u1) -1/18) (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)))
2.0ms	u1	@	inf	(- (/ (* (log u1) -1/18) (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)))
1.0ms	u1	@	0	(- (/ (* (log u1) -1/18) (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)))
1.0ms	u1	@	-inf	(/ (- 1/4 (* (log u1) -1/18)) (+ 1/2 (* -1/6 (sqrt (* -2 (log u1))))))

simplify245.0ms (2.2%)

Memory

17.7MiB live, 386.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 512×	`lower-fma.f64`
9 512×	`lower-fma.f32`
3 652×	`lower-*.f64`
3 652×	`lower-*.f32`
2 168×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	5532
1	397	5372
2	1173	5286
3	1880	5232
4	2973	5232
5	4966	5232
6	7299	5232
0	8151	4932

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))
(- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))
(- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))
(- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))
(- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))
(- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))
(- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))
(- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))
(- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))
(- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))
(- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))
(- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)

Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) (fma.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -2/135 binary64) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (.f64 u2 u2) (.f64 u2 u2)) #s(literal 1/2 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
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(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (.f64 u2 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64)) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))

rewrite335.0ms (3%)

Memory

24.9MiB live, 500.4MiB allocated

Rules

4 750×	`lower-*.f32`
4 738×	`lower-*.f64`
3 924×	`lower-/.f32`
3 914×	`lower-/.f64`
3 548×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	316
0	78	273
1	303	273
2	1847	273
0	8161	265

Stop Event

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

Counts

23 → 667

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(*.f64 (PI.f64) u2)
(.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))

Outputs
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
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(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(+.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(-.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))) (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))) (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))

eval187.0ms (1.7%)

Memory: -8.8MiB live, 369.6MiB allocated
Compiler: Compiled 36 355 to 2 520 computations (93.1% saved)

prune220.0ms (2%)

Memory

3.2MiB live, 386.9MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 393	9	1 402
Fresh	6	5	11
Picked	2	3	5
Done	0	2	2
Total	1 401	19	1 420

Accuracy

100.0%

Counts

1 420 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	98.9%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
✓	99.5%	(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (/.f64 #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (log.f64 u1) (/.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
✓	98.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	98.2%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
	97.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))))
	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))))
✓	98.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
	97.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 606 to 492 computations (69.4% saved)

regimes163.0ms (1.5%)

Memory

31.8MiB live, 265.2MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (/.f64 #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (log.f64 u1) (/.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) #s(approx (cos (* 2 (* (PI) u2))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 6 binary64)) #s(literal -1/64 binary64)) (.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))) #s(literal 2 binary64))))))

Outputs

(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))

Calls

10 calls:

23.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
18.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
16.0ms	(log.f64 u1)
16.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
16.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)

Results

Accuracy	Segments	Branch
99.5%	1	`u1`
99.5%	1	`u2`
99.5%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
99.5%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
99.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
99.5%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.5%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.5%	1	`(log.f64 u1)`
99.5%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.5%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes86.0ms (0.8%)

Memory

-23.0MiB live, 89.9MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))))

Outputs
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))

Calls

10 calls:

33.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
11.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
5.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
5.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))

Results

Accuracy	Segments	Branch
99.4%	1	`u1`
99.4%	1	`u2`
99.4%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
99.4%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
99.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
99.4%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.4%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.4%	1	`(log.f64 u1)`
99.4%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.4%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes33.0ms (0.3%)

Memory

-11.1MiB live, 81.4MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))

Outputs

(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))

Calls

10 calls:

4.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
4.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
3.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
3.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
98.9%	1	`u1`
98.9%	1	`u2`
98.9%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
98.9%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
98.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
98.9%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.9%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.9%	1	`(log.f64 u1)`
98.9%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
98.9%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes34.0ms (0.3%)

Memory

-15.6MiB live, 78.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))

Outputs

#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Calls

10 calls:

7.0ms	u1
5.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
3.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
3.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)

Results

Accuracy	Segments	Branch
98.2%	1	`u1`
98.2%	1	`u2`
98.2%	1	`(log.f64 u1)`
98.2%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
98.2%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`
98.2%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
98.2%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
98.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
98.2%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.2%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes16.0ms (0.1%)

Memory

38.2MiB live, 38.2MiB allocated

Accuracy

Total -62.8b remaining (-5269.3%)

Threshold costs -62.8b (-5269.3%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))

Outputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Calls

10 calls:

2.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
2.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)

Results

Accuracy	Segments	Branch
98.1%	1	`u1`
98.1%	1	`u2`
98.1%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
98.1%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
98.1%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.1%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.1%	1	`(log.f64 u1)`
98.1%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
98.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify9.0ms (0.1%)

Memory

-24.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	141
1	76	141
2	78	141
3	79	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Outputs
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(literal 6 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 u2 u2) (.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

soundness1.3s (11.3%)

Memory

34.6MiB live, 869.9MiB allocated

Rules

43 450×	`lower-fma.f64`
43 450×	`lower-fma.f32`
9 512×	`lower-fma.f64`
9 512×	`lower-fma.f32`
9 476×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	5532
1	397	5372
2	1173	5286
3	1880	5232
4	2973	5232
5	4966	5232
6	7299	5232
0	8151	4932
0	18	52
0	30	48
1	81	48
2	372	48
0	2866	47
0	83	1292
1	205	1260
2	623	1232
3	2201	1204
4	2811	1198
5	3922	1198
6	5352	1198
7	5480	1198
8	5542	1198
9	5559	1198
10	5565	1198
11	5565	1198
12	7993	1198
13	7993	1198
14	7993	1198
0	8013	1162
0	62	362
0	106	292
1	332	292
2	1724	289
0	8487	282
0	61	363
0	99	313
1	307	312
2	1439	310
0	8815	307
0	404	11265
1	1225	10220
2	4679	10211
0	9055	9701

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

Compiler

Compiled 359 to 201 computations (44% saved)

preprocess85.0ms (0.8%)

Memory: 10.5MiB live, 108.8MiB allocated
Remove: (abs u2)
Compiler: Compiled 376 to 246 computations (34.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	39	86
1	88	82
2	194	82
3	374	82
4	440	82
5	503	82
6	585	82
7	626	82
8	682	82
9	704	82
10	704	82
0	18	17
0	30	16
1	43	16
2	57	16
3	61	16
0	61	15

Iter	Nodes	Cost
0	61	465
0	99	446
1	150	433
2	207	431
3	266	431
4	311	431
5	362	431
6	376	431
7	425	431
8	427	431
0	427	426

Iter	Nodes	Cost
0	39	86
1	88	82
2	194	82
3	374	82
4	440	82
5	503	82
6	585	82
7	626	82
8	682	82
9	704	82
10	704	82
0	18	17
0	30	16
1	43	16
2	57	16
3	61	16
0	61	15

Iter	Nodes	Cost
0	61	465
0	99	446
1	150	433
2	207	431
3	266	431
4	311	431
5	362	431
6	376	431
7	425	431
8	427	431
0	427	426

start0.0ms (0%)

analyze24.0ms (0.2%)

sample2.2s (19.7%)

explain182.0ms (1.6%)

preprocess33.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize49.0ms (0.4%)

series78.0ms (0.7%)

simplify651.0ms (5.8%)

rewrite134.0ms (1.2%)

eval31.0ms (0.3%)

prune59.0ms (0.5%)

simplify297.0ms (2.7%)

localize348.0ms (3.1%)

series87.0ms (0.8%)

simplify539.0ms (4.8%)

rewrite588.0ms (5.3%)

eval434.0ms (3.9%)

prune429.0ms (3.9%)

simplify21.0ms (0.2%)

localize174.0ms (1.6%)

series254.0ms (2.3%)

simplify412.0ms (3.7%)

rewrite317.0ms (2.8%)

eval286.0ms (2.6%)

prune202.0ms (1.8%)

simplify406.0ms (3.6%)

localize206.0ms (1.8%)

series34.0ms (0.3%)

simplify245.0ms (2.2%)

rewrite335.0ms (3%)

eval187.0ms (1.7%)

prune220.0ms (2%)

regimes163.0ms (1.5%)

regimes86.0ms (0.8%)

regimes33.0ms (0.3%)

regimes34.0ms (0.3%)

regimes16.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.3s (11.3%)

preprocess85.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	39	86
1	88	82
2	194	82
3	374	82
4	440	82
5	503	82
6	585	82
7	626	82
8	682	82
9	704	82
10	704	82
0	18	17
0	30	16
1	43	16
2	57	16
3	61	16
0	61	15

Iter	Nodes	Cost
0	61	465
0	99	446
1	150	433
2	207	431
3	266	431
4	311	431
5	362	431
6	376	431
7	425	431
8	427	431
0	427	426