Metrics for normal distribution

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze22.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB 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 (17.9%)

Memory

7.1MiB live, 1 735.0MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 467.0ms (40.7% of total)

ival-cos: 209.0ms (18.2% of total)

ival-log: 115.0ms (10% of total)

ival-sqrt: 80.0ms (7% of total)

ival-div: 79.0ms (6.9% of total)

ival-<=: 78.0ms (6.8% of total)

ival-add: 41.0ms (3.6% of total)

ival-pi: 29.0ms (2.5% of total)

exact: 24.0ms (2.1% of total)

ival-and: 21.0ms (1.8% of total)

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

Bogosity

explain187.0ms (1.5%)

Memory

6.0MiB live, 274.9MiB 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

64.0ms

512×

valid

Compiler

Compiled 191 to 58 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 14.0ms (36.1% of total)

ival-log: 7.0ms (18% of total)

ival-div: 4.0ms (10.3% of total)

ival-cos: 4.0ms (10.3% of total)

ival-sqrt: 3.0ms (7.7% of total)

ival-pi: 2.0ms (5.2% of total)

ival-add: 2.0ms (5.2% of total)

exact: 1.0ms (2.6% of total)

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

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

preprocess30.0ms (0.2%)

Memory

-6.7MiB live, 42.5MiB 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

1.6MiB live, 1.6MiB 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

8.8MiB live, 8.8MiB 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

13.2MiB live, 89.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.03125	(+.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	0.13671875	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy	0.23828125	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.33984375	(.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

33.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.2% of total)

ival-log: 4.0ms (20.1% of total)

ival-div: 2.0ms (10.1% of total)

ival-cos: 2.0ms (10.1% of total)

ival-sqrt: 2.0ms (10.1% of total)

ival-pi: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

exact: 1.0ms (5% of total)

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

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

series194.0ms (1.6%)

Memory

6.8MiB live, 86.3MiB 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>) () ())) ())
#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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Calls

21 calls:

Time	Variable		Point	Expression
103.0ms	u1	@	0	(pow (* -2 (log u1)) 1/2)
41.0ms	u1	@	0	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
19.0ms	u1	@	-inf	(pow (* -2 (log u1)) 1/2)
13.0ms	u2	@	inf	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
7.0ms	u1	@	inf	(pow (* -2 (log u1)) 1/2)

simplify597.0ms (4.8%)

Memory

19.0MiB live, 517.1MiB 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)))

rewrite128.0ms (1%)

Memory

13.8MiB live, 173.1MiB 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))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.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)) #s(literal 1/6 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)))))
(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))
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(.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)))

eval60.0ms (0.5%)

Memory: -2.1MiB live, 36.1MiB allocated
Compiler: Compiled 7 687 to 694 computations (91% saved)

prune56.0ms (0.5%)

Memory

-19.9MiB live, 99.8MiB 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
	99.1%	(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 #s(literal 1/6 binary64) (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))
	98.9%	(fma.f64 #s(literal 1/6 binary64) (/.f64 (.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)) #s(literal 1/6 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)))))
	99.0%	(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)))))
	99.1%	(/.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)) (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 (fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 binary64)) (fma.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))))) (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)))
	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)))))
	99.3%	(/.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))))
	99.0%	(+.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))
	98.7%	(+.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))
▶	99.0%	(.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)) (/.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))))
	99.2%	(.f64 (-.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))) (/.f64 #s(literal 1 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))))))))
▶	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 1 014 to 638 computations (37.1% saved)

simplify216.0ms (1.8%)

Memory

34.5MiB live, 266.1MiB 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 3 binary64))
cost-diff	0	(fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 binary64)) (fma.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))))) (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)))
cost-diff	960	(fma.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))))) (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))
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	(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	320	(.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))))
cost-diff	0	(.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)))
cost-diff	128	(+.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))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff	12480	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
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

7 518×	`lower-fma.f32`
7 508×	`lower-fma.f64`
4 750×	`lower-*.f32`
4 718×	`lower-*.f64`
1 284×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	613
0	115	605
1	190	594
2	357	592
3	911	592
4	1136	592
5	1245	592
6	1564	592
7	2672	592
8	3545	592
9	4158	592
10	5974	592
11	7819	592
0	8151	585

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

localize235.0ms (1.9%)

Memory

-16.9MiB live, 468.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	(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	(log.f64 u1)
accuracy	0	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (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

134.0ms

256×

invalid

Compiler

Compiled 604 to 61 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 29.0ms (30.2% of total)

const: 16.0ms (16.7% of total)

ival-log: 12.0ms (12.5% of total)

ival-sqrt: 11.0ms (11.5% of total)

ival-add: 8.0ms (8.3% of total)

ival-div: 5.0ms (5.2% of total)

ival-cos: 4.0ms (4.2% of total)

ival-exp: 3.0ms (3.1% of total)

ival-pow: 3.0ms (3.1% of total)

ival-pow2: 2.0ms (2.1% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series356.0ms (2.9%)

Memory

-52.0MiB live, 146.1MiB allocated

Counts

25 → 420

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 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())
#s(alt (+.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)) (patch (+.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)) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<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)) (/.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)))) (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)) (/.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)))) #<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 (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 (.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)) #s(literal 1/4 binary64)) (patch (fma.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))))) (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)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 binary64)) (fma.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))))) (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))) (patch (/.f64 (fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 binary64)) (fma.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))))) (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))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 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 3 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 3 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 (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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#s(alt (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#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 (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#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 (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#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 (* (sqrt (log u1)) (sqrt -2)) (taylor 0 u1) (#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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) (taylor inf u1) (#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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) (taylor inf u1) (#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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) (taylor inf u1) (#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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))) (taylor inf u1) (#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 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#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 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#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 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#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 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))) (taylor -inf u1) (#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>) () ())) ())

Calls

105 calls:

Time	Variable		Point	Expression
173.0ms	u1	@	-inf	(* (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
89.0ms	u1	@	0	(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))
5.0ms	u2	@	0	(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))
3.0ms	u2	@	0	(* (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
3.0ms	u2	@	inf	(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))

simplify547.0ms (4.4%)

Memory

28.7MiB live, 420.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 186×	`lower-fma.f64`
10 186×	`lower-fma.f32`
9 154×	`lower-*.f64`
9 154×	`lower-*.f32`
2 644×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	470	12574
1	1507	11603
2	6355	11376
0	8230	10807

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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)))))
(+ 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)))))))
(+ 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)))))
(+ 1/2 (* 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 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))))))))
(sqrt (log u1))
(sqrt (log u1))
(sqrt (log u1))
(sqrt (log u1))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* (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)))))))
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(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(/ (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3))))) (+ 1/4 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))) (sqrt (log u1))))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))
(+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))
(+ 1/8 (+ (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))) (* 1/216 (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (sqrt (pow (log u1) 3))))))
(+ 1/8 (+ (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))) (* (pow u2 2) (+ (* 1/216 (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))) (* 1/216 (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (sqrt (pow (log u1) 3))))))))
(+ 1/8 (+ (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))) (* (pow u2 2) (+ (* 1/216 (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2)))))) (* (pow u2 2) (+ (* 1/216 (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4)))))))) (* 1/216 (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))) (sqrt (pow (log u1) 3))))))))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (sqrt (pow (log u1) 3))))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (sqrt (pow (log u1) 3))))))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))) (sqrt (pow (log u1) 3))))))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(* (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))))
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 #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 #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))))))
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(+ 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 #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 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.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))))))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #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 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #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 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #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 #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 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))))))))))
(+.f64 (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)) (.f64 (.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 (.f64 u2 u2) (*.f64 u2 u2))))
(+ 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)))))
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(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64)))))
(* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (sqrt (pow (log u1) 3))))
(.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -6 binary64)) (.f64 u2 (.f64 u2 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)))))))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (sqrt (pow (log u1) 3))))))
(.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -6 binary64)) (.f64 u2 (.f64 u2 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)))))) (.f64 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 14 binary64))))) (.f64 u2 u2))))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))) (sqrt (pow (log u1) 3))))))))
(fma.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -6 binary64)) (.f64 u2 (.f64 u2 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)))))) (.f64 u2 (.f64 u2 (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 14 binary64) (.f64 (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -32/3 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -28/5 binary64))) (.f64 u2 u2))))))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (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))
(*.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
#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 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 (*.f64 u2 u2) #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 (*.f64 (PI.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
#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 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 (*.f64 u2 u2) #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 (*.f64 (PI.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))))
(* (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 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (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)))))

rewrite474.0ms (3.8%)

Memory

1.5MiB live, 541.6MiB allocated

Rules

5 692×	`lower-fma.f32`
5 682×	`lower-fma.f64`
4 438×	`lower-*.f32`
4 406×	`lower-*.f64`
3 738×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	373
0	115	336
1	359	336
2	1877	334
0	8281	326

Stop Event

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

Counts

25 → 1 035

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)
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.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))
(.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)))
(.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))))
(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))
(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 (.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)) #s(literal 1/4 binary64))
(/.f64 (fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 binary64)) (fma.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))))) (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)))
(fma.f64 #s(literal 1/216 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 3 binary64)) #s(literal 1/8 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 3 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))
(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 #s(literal 1 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 binary64) (/.f64 (/.f64 #s(literal 1 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))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 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(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 (-.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 #s(literal 1/4 binary64) (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 binary64) (neg.f64 (/.f64 #s(literal 1 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 (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 (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)) (.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 (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 1/4 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)))))))
(/.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)) #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 (neg.f64 (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))) (neg.f64 (-.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)) #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 (neg.f64 (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))) (neg.f64 (+.f64 #s(literal 1/4 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))))))))
(/.f64 (neg.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)) #s(literal -1/4 binary64))) (neg.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))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (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)))))
(/.f64 (-.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 (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)) #s(literal 1/4 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(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 (neg.f64 (neg.f64 (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)))) (neg.f64 (neg.f64 (-.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)) #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))))))))
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(pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 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 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(*.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1 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 (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64)))

eval467.0ms (3.8%)

Memory: 33.9MiB live, 684.5MiB allocated
Compiler: Compiled 115 373 to 5 119 computations (95.6% saved)

prune377.0ms (3.1%)

Memory

-28.4MiB live, 627.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	2 220	14	2 234
Fresh	8	3	11
Picked	5	0	5
Done	0	0	0
Total	2 233	17	2 250

Accuracy

100.0%

Counts

2 250 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.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 1/6 binary64) #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)) (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)))
	98.7%	(+.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))
	99.3%	(+.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))
	98.9%	(+.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)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
▶	98.4%	(.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) #s(approx (cos ( 2 (* (PI) u2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
	99.2%	(.f64 (-.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))) (/.f64 #s(literal 1 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))))))))
	98.5%	#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)))
▶	98.8%	#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)))
▶	98.6%	#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))))
	98.5%	#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)))))
	98.5%	#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)))))))
	98.5%	#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 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
	98.5%	#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 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))) (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)))))
	98.7%	#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)))))
▶	98.5%	#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)))))
	98.5%	#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) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))

Compiler

Compiled 822 to 566 computations (31.1% saved)

simplify274.0ms (2.2%)

Memory

-16.6MiB live, 244.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	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	320	(.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) #s(approx (cos ( 2 (* (PI) u2))) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
cost-diff	0	(/.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)))
cost-diff	0	#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)))))
cost-diff	320	(.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))
cost-diff	8576	(-.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))))
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	(.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))
cost-diff	0	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
cost-diff	0	(fma.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 1/6 binary64) #s(literal 1/2 binary64))

Rules

4 992×	`lower-fma.f32`
4 980×	`lower-fma.f64`
4 270×	`lower-*.f32`
4 254×	`lower-*.f64`
1 634×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	485
0	83	450
1	127	448
2	194	448
3	319	448
4	742	448
5	1558	448
6	1969	448
7	2550	448
8	3682	448
9	4573	448
10	6141	448
11	7761	448
0	8125	443

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (1.5%)

Memory

20.2MiB live, 291.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.41177757142808724	#s(approx (cos (* 2 (* (PI) u2))) #s(literal 1 binary64))
accuracy	0.4401550781475361	(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))
accuracy	0.4415636317227567	(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))
accuracy	0.5576362793053261	(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))
accuracy	0.31869125976844204	(/.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)))
accuracy	0.4005450944368918	#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)))))
accuracy	0.409198779305326	(.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))
accuracy	0.4298448817227568	(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
accuracy	0.4005450944368918	#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	0.4298448817227568	(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
accuracy	0.4440613281475361	(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
accuracy	0.4655075195368841	(/.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	0.13671875	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
accuracy	0.3359375	(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.4005450944368918	#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	(PI.f64)
accuracy	0.13671875	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
accuracy	0.23828125	(*.f64 (PI.f64) u2)
accuracy	0.33203125	(fma.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 1/6 binary64) #s(literal 1/2 binary64))

Samples

101.0ms

256×

valid

Compiler

Compiled 446 to 50 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 23.0ms (33.9% of total)

ival-div: 11.0ms (16.2% of total)

ival-add: 8.0ms (11.8% of total)

const: 7.0ms (10.3% of total)

ival-pi: 5.0ms (7.4% of total)

ival-log: 4.0ms (5.9% of total)

ival-cos: 4.0ms (5.9% of total)

ival-pow2: 3.0ms (4.4% of total)

ival-sqrt: 2.0ms (2.9% of total)

ival-sub: 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)

series39.0ms (0.3%)

Memory

-0.9MiB live, 74.3MiB allocated

Counts

25 → 408

Calls

Call 1

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

Outputs
#s(alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) (taylor 0 u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))))) (taylor 0 u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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)))))))))) (taylor 0 u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 inf u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 inf u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 inf u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 inf u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 -inf u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 -inf u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 -inf u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 -inf u2) (#s(alt (fma.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 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.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 1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2) (taylor -inf u2) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2) (taylor -inf u2) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2) (taylor -inf u2) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2) (taylor -inf u2) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 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 (* -2 (* (pow u2 2) (pow (PI) 2)))) (taylor 0 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 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4)))))) (taylor 0 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 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4))))))) (taylor 0 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 (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>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	0	(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
2.0ms	u1	@	-inf	(- (/ (* 1/36 (* -2 (log u1))) (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)))
2.0ms	u1	@	inf	(- (/ (* 1/36 (* -2 (log u1))) (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)))
2.0ms	u1	@	0	(- (/ (* 1/36 (* -2 (log u1))) (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2)))
1.0ms	u1	@	inf	(/ (+ (* 1/36 (* -2 (log u1))) -1/4) (+ (* 1/6 (sqrt (* -2 (log u1)))) -1/2))

simplify368.0ms (3%)

Memory

-1.4MiB live, 397.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 724×	`lower-fma.f64`
11 724×	`lower-fma.f32`
7 228×	`lower-*.f64`
7 228×	`lower-*.f32`
3 896×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	8139
1	855	7477
2	3124	7355
3	6986	7347
0	8064	6945

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(+ 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)))))
(+ 1/2 (* 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))))))))
(* (sqrt (log u1)) (sqrt -2))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (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 (* 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)))
(+ 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)))))
(+ 1/2 (* 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 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))))))))
(* (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))))))
(* -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)))))
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(+ 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))))
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(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/4)
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(- (+ (* -1/9 (* (pow u2 2) (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))))) (* 1/36 (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (+ (* 1/36 (* (log u1) (pow (sqrt -2) 2))) (* (pow u2 2) (+ (* -1/9 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* 1/36 (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))))) 1/4)
(- (+ (* 1/36 (* (log u1) (pow (sqrt -2) 2))) (* (pow u2 2) (+ (* -1/9 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* (pow u2 2) (+ (* 1/36 (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 1/36 (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6)))))))))))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))
(* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))
(* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))
(* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (log u1) (pow (sqrt -2) 2))
(+ (* -4 (* (pow u2 2) (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))))) (* (log u1) (pow (sqrt -2) 2)))
(+ (* (log u1) (pow (sqrt -2) 2)) (* (pow u2 2) (+ (* -4 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))))
(+ (* (log u1) (pow (sqrt -2) 2)) (* (pow u2 2) (+ (* -4 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* (pow u2 2) (+ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6)))))))))))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt (log u1)) (sqrt -2))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log 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))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (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)
(- (* 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)))) 1/2)
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))))

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

rewrite367.0ms (3%)

Memory

24.2MiB live, 528.2MiB allocated

Rules

4 952×	`lower-*.f32`
4 936×	`lower-*.f64`
4 140×	`lower-fma.f32`
4 128×	`lower-fma.f64`
3 880×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	348
0	83	283
1	301	283
2	1913	278
0	8361	275

Stop Event

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

Counts

25 → 1 009

Calls

Call 1

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

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

eval322.0ms (2.6%)

Memory: 44.8MiB live, 526.4MiB allocated
Compiler: Compiled 69 976 to 3 347 computations (95.2% saved)

prune237.0ms (1.9%)

Memory

26.7MiB live, 481.3MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	2 113	10	2 123
Fresh	8	4	12
Picked	3	2	5
Done	0	0	0
Total	2 124	16	2 140

Accuracy

100.0%

Counts

2 140 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.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 1/6 binary64) #s(literal 1/2 binary64))
	99.3%	(fma.f64 (.f64 #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))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶	99.3%	(+.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))
	98.9%	(+.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)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.5%	#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)))
	98.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) (/.f64 #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)))))
✓	98.8%	#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)))
	98.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(literal -1/18 binary64) (/.f64 (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))) (/.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)))))
▶	98.6%	#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))))
	98.5%	#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))))
▶	98.5%	#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)) (/.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))))))
	98.5%	#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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))))
▶	98.5%	#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 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
▶	98.7%	#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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
	98.5%	#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 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
	98.4%	#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 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))

Compiler

Compiled 630 to 446 computations (29.2% saved)

simplify255.0ms (2.1%)

Memory

-15.3MiB live, 282.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 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))))))
cost-diff	320	(.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 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))))
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	14976	(/.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)) (/.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)))))
cost-diff	128	(-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.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	320	(.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))
cost-diff	704	(/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))))
cost-diff	0	(log.f64 u1)
cost-diff	0	(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
cost-diff	0	(/.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)))
cost-diff	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)) (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	(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	(/.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)))
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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 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))))
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))))) #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))))
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))))) #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))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))

Rules

4 816×	`lower-fma.f32`
4 806×	`lower-fma.f64`
3 108×	`lower-/.f32`
3 096×	`lower-/.f64`
3 072×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	572
0	96	504
1	167	502
2	290	502
3	564	502
4	1239	502
5	3982	500
6	5935	500
0	8281	493

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

localize195.0ms (1.6%)

Memory

6.1MiB live, 407.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4005450944368918	#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)) (/.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))))))
accuracy	0.4440613281475361	(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
accuracy	0.44406132814753624	(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
accuracy	0.4655075195368841	(/.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)) (/.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)))))
accuracy	0.33984375	(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
accuracy	0.35546875	(/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))))
accuracy	0.4005450944368918	#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 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
accuracy	0.409198779305326	(.f64 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1)))
accuracy	0.4005450944368918	#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))))
accuracy	0.4298448817227567	(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.44406132814753624	(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
accuracy	0.4655075195368841	(/.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)))
accuracy	0.25	(/.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)))
accuracy	0.27734375	(/.f64 #s(literal 1 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))))
accuracy	0.3359375	(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.4005450944368918	#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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
accuracy	0.10576942258570868	#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)))
accuracy	0.16796875	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.33984375	(.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)))))
accuracy	0.4443550293053261	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))

Samples

102.0ms

256×

valid

Compiler

Compiled 468 to 52 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 20.0ms (28.1% of total)

ival-div: 14.0ms (19.7% of total)

const: 9.0ms (12.6% of total)

ival-add: 8.0ms (11.2% of total)

ival-sub: 6.0ms (8.4% of total)

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

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

ival-cos: 2.0ms (2.8% 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)

series46.0ms (0.4%)

Memory

-3.8MiB live, 71.4MiB allocated

Counts

27 → 384

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))))) #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)) (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))))) #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)) #<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))))) #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)))) (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))))) #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)))) #<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 (/.f64 #s(literal 1 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)))) (patch (/.f64 #s(literal 1 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)))) #<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 (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) (/.f64 #s(literal 1 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))))) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<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 #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
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#s(alt (/.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)) (/.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))))) (patch (/.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)) (/.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))))) #<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 (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 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)))) (patch (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 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)))) #<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)) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 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)))))) (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)) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 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)))))) #<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 (sqrt.f64 (neg.f64 (log.f64 u1))) (patch (sqrt.f64 (neg.f64 (log.f64 u1))) #<representation binary64>) () ())
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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))))) #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)) (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))))) #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)) #<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))))) #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)) (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))))) #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)) #<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))))) #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)) (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))))) #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)) #<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))))) #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)) (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))))) #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)) #<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))))) #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)) (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))))) #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)) #<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))))) #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)) (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))))) #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)) #<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))))) #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)) (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))))) #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)) #<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))))) #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)) (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))))) #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)) #<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 (/.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)) (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))))) #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)) #<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 (/.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)) (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))))) #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)) #<representation binary64>) () ())) ())
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#s(alt (/ (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (- 1/4 (* 1/18 (log (/ 1 u1))))) (taylor inf u1) (#s(alt (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (- 1/4 (* 1/18 (log (/ 1 u1))))) (taylor inf u1) (#s(alt (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (- 1/4 (* 1/18 (log (/ 1 u1))))) (taylor inf u1) (#s(alt (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (- 1/4 (* 1/18 (log (/ 1 u1))))) (taylor inf u1) (#s(alt (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (/.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 #s(literal 1/36 binary64) (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (/.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 #s(literal 1/36 binary64) (.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 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>) () ())) ())

Calls

96 calls:

Time	Variable		Point	Expression
11.0ms	u1	@	-inf	(/ 1 (/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (* 1/36 (* -2 (log u1))))))
1.0ms	u1	@	0	(* (sqrt (neg (log u1))) (sqrt 2))
1.0ms	u1	@	inf	(/ 1 (/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (* 1/36 (* -2 (log u1))))))
1.0ms	u1	@	0	(/ 1 (/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (* 1/36 (* -2 (log u1))))))
1.0ms	u1	@	-inf	(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)))

simplify647.0ms (5.3%)

Memory

-31.6MiB live, 559.0MiB allocated

Algorithm

1×	egg-herbie

Rules

21 216×	`lower-fma.f64`
21 216×	`lower-fma.f32`
6 650×	`lower-*.f64`
6 650×	`lower-*.f32`
3 554×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	6200
1	403	6008
2	1198	5904
3	3718	5820
4	5481	5802
0	8257	5436

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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)))))
(+ 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)))))))
(+ 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 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 (* 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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(- (* 1/6 (* (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)
(+ 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)))))
(/ (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) (- 1/4 (* -1/18 (log u1))))
(/ (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) (- 1/4 (* -1/18 (log u1))))
(/ (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) (- 1/4 (* -1/18 (log u1))))
(/ (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))) (- 1/4 (* -1/18 (log u1))))
(/ (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (- 1/4 (* 1/18 (log (/ 1 u1)))))
(/ (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (- 1/4 (* 1/18 (log (/ 1 u1)))))
(/ (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (- 1/4 (* 1/18 (log (/ 1 u1)))))
(/ (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (- 1/4 (* 1/18 (log (/ 1 u1)))))
(/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* -1/18 (+ (log -1) (* -1 (log (/ -1 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)))))))

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 (sqrt.f64 #s(literal -2 binary64)) (.f64 (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 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (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 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (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 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (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 #s(literal 2 binary64) (.f64 u2 (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 #s(literal 2 binary64) (.f64 u2 (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 #s(literal 2 binary64) (.f64 u2 (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 #s(literal 2 binary64) (.f64 u2 (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 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -1/3 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)))) (* 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 (.f64 u2 u2) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))) #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 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))))) (.f64 u2 (.f64 u2 (.f64 u2 u2))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (*.f64 u2 u2) #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 (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 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 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 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (*.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))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 #s(literal -1/3 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)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
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rewrite445.0ms (3.6%)

Memory

51.5MiB live, 698.0MiB allocated

Rules

4 434×	`lower-fma.f32`
4 424×	`lower-fma.f64`
4 328×	`lower-*.f32`
4 308×	`lower-*.f64`
3 698×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	431
0	96	334
1	354	331
2	2046	319
0	8855	309

Stop Event

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

Counts

27 → 1 943

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

eval533.0ms (4.3%)

Memory: -18.0MiB live, 839.6MiB allocated
Compiler: Compiled 93 554 to 4 233 computations (95.5% saved)

prune348.0ms (2.8%)

Memory

4.7MiB live, 682.8MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	2 884	12	2 896
Fresh	6	3	9
Picked	3	2	5
Done	0	2	2
Total	2 893	19	2 912

Accuracy

100.0%

Counts

2 912 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.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 1/6 binary64) #s(literal 1/2 binary64))
	99.3%	(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)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	99.3%	(fma.f64 (.f64 #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))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #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)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓	98.8%	#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)))
	98.3%	#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)))
✓	98.6%	#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))))
	98.5%	#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 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
	98.5%	#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 (fma.f64 (log.f64 u1) #s(literal -1/18 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))))))
	98.5%	#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))))
	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (/.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))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)))))
	98.3%	#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 -1/2 binary64)) #s(literal 2 binary64))))
	98.5%	#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)))))
	98.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 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))))))
✓	98.7%	#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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
	98.5%	#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 (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))))))
	98.3%	#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 1/2 binary64) (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))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)))))))
	98.5%	#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 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
	98.6%	#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 1 559 to 488 computations (68.7% saved)

regimes169.0ms (1.4%)

Memory

-18.0MiB live, 329.8MiB allocated

Counts

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

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))

Calls

10 calls:

21.0ms	(.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)))
20.0ms	u1
18.0ms	u2
16.0ms	(+.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))
16.0ms	(log.f64 u1)

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)

regimes119.0ms (1%)

Memory

21.2MiB live, 136.8MiB allocated

Counts

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

Outputs
(fma.f64 (.f64 #s(literal 1/6 binary64) (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))

Calls

10 calls:

45.0ms	(log.f64 u1)
19.0ms	(.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)))
8.0ms	u2
7.0ms	(+.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))
7.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)

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)

regimes38.0ms (0.3%)

Memory

-18.3MiB live, 86.1MiB allocated

Counts

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

7.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
4.0ms	(.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 #s(literal -2 binary64) (log.f64 u1))
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)))

Results

Accuracy	Segments	Branch
99.3%	1	`u1`
99.3%	1	`u2`
99.3%	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))`
99.3%	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)))`
99.3%	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)))`
99.3%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.3%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.3%	1	`(log.f64 u1)`
99.3%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.3%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes33.0ms (0.3%)

Memory

-9.1MiB live, 66.2MiB 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) (/.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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #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))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #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)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #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)) #s(literal 1 binary64))) #s(literal 1/2 binary64))

Outputs

(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)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))

Calls

10 calls:

6.0ms	(.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)))
4.0ms	(log.f64 u1)
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 (.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	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
99.3%	1	`u2`
99.3%	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))`
99.3%	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)))`
99.3%	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)))`
99.3%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.3%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.3%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.3%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`
99.3%	1	`u1`
99.3%	1	`(log.f64 u1)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes26.0ms (0.2%)

Memory

16.0MiB live, 58.6MiB allocated

Counts

5 → 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) (/.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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #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))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Outputs

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

Calls

10 calls:

4.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (.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	(*.f64 #s(literal -2 binary64) (log.f64 u1))

Results

Accuracy	Segments	Branch
99.3%	1	`u1`
99.3%	1	`u2`
99.3%	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))`
99.3%	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)))`
99.3%	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)))`
99.3%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.3%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.3%	1	`(log.f64 u1)`
99.3%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.3%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes80.0ms (0.6%)

Memory

0.3MiB live, 39.0MiB allocated

Accuracy

Total -63.2b remaining (-8365.5%)

Threshold costs -63.2b (-8365.5%)

Counts

4 → 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) (/.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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #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:

60.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
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	(+.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 #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	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
98.8%	1	`u1`
98.8%	1	`u2`
98.8%	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))`
98.8%	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)))`
98.8%	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)))`
98.8%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.8%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.8%	1	`(log.f64 u1)`
98.8%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
98.8%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify9.0ms (0.1%)

Memory

-25.1MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	166
1	93	166
2	102	166
3	106	166
4	107	166

Stop Event

1×

saturated

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))
(fma.f64 (.f64 #s(literal 1/6 binary64) (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 (/.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 #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(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #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))) (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 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 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))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 #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))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (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 (/.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 (/.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 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 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)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) (neg.f64 #s(literal 2 binary64)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 u2 (.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #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))) (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))) #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(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 (10.7%)

Memory

42.6MiB live, 774.9MiB allocated

Rules

43 450×	`lower-fma.f64`
43 450×	`lower-fma.f32`
11 724×	`lower-fma.f64`
11 724×	`lower-fma.f32`
10 186×	`lower-fma.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
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	68	373
0	115	336
1	359	336
2	1877	334
0	8281	326
0	470	12574
1	1507	11603
2	6355	11376
0	8230	10807
0	286	8139
1	855	7477
2	3124	7355
3	6986	7347
0	8064	6945
0	61	431
0	96	334
1	354	331
2	2046	319
0	8855	309

Stop Event

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

Compiler

Compiled 418 to 263 computations (37.1% saved)

preprocess71.0ms (0.6%)

Memory: -14.3MiB live, 184.0MiB allocated
Remove: (abs u2)
Compiler: Compiled 502 to 314 computations (37.5% 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	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

start0.0ms (0%)

analyze22.0ms (0.2%)

sample2.2s (17.9%)

explain187.0ms (1.5%)

preprocess30.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize49.0ms (0.4%)

series194.0ms (1.6%)

simplify597.0ms (4.8%)

rewrite128.0ms (1%)

eval60.0ms (0.5%)

prune56.0ms (0.5%)

simplify216.0ms (1.8%)

localize235.0ms (1.9%)

series356.0ms (2.9%)

simplify547.0ms (4.4%)

rewrite474.0ms (3.8%)

eval467.0ms (3.8%)

prune377.0ms (3.1%)

simplify274.0ms (2.2%)

localize181.0ms (1.5%)

series39.0ms (0.3%)

simplify368.0ms (3%)

rewrite367.0ms (3%)

eval322.0ms (2.6%)

prune237.0ms (1.9%)

simplify255.0ms (2.1%)

localize195.0ms (1.6%)

series46.0ms (0.4%)

simplify647.0ms (5.3%)

rewrite445.0ms (3.6%)

eval533.0ms (4.3%)

prune348.0ms (2.8%)

regimes169.0ms (1.4%)

regimes119.0ms (1%)

regimes38.0ms (0.3%)

regimes33.0ms (0.3%)

regimes26.0ms (0.2%)

regimes80.0ms (0.6%)

simplify9.0ms (0.1%)

soundness1.3s (10.7%)

preprocess71.0ms (0.6%)

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