Metrics for normal distribution

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze42.0ms (0.4%)

Memory

-1.6MiB live, 33.0MiB 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 (20.3%)

Memory

15.1MiB live, 1 739.1MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-mult: 453.0ms (41.5% of total)

ival-log: 220.0ms (20.2% of total)

ival-cos: 93.0ms (8.5% of total)

ival-<=: 79.0ms (7.2% of total)

ival-div: 70.0ms (6.4% of total)

ival-sqrt: 58.0ms (5.3% of total)

ival-add: 40.0ms (3.7% of total)

ival-pi: 30.0ms (2.7% of total)

exact: 25.0ms (2.3% of total)

ival-and: 21.0ms (1.9% of total)

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

Bogosity

explain193.0ms (1.8%)

Memory

16.6MiB live, 288.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

62.0ms

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: 15.0ms (38.1% of total)

ival-log: 7.0ms (17.8% of total)

ival-div: 4.0ms (10.2% of total)

ival-cos: 4.0ms (10.2% of total)

ival-sqrt: 3.0ms (7.6% of total)

ival-pi: 2.0ms (5.1% of total)

ival-add: 2.0ms (5.1% of total)

ival-true: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

preprocess33.0ms (0.3%)

Memory

1.0MiB live, 42.8MiB 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.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

▶

99.5%

(+.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)

simplify6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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

localize115.0ms (1.1%)

Memory

-15.9MiB live, 61.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(+.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	0.12890625	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy	0.24609375	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.37890625	(.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

99.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38% of total)

ival-log: 3.0ms (14.3% of total)

ival-div: 2.0ms (9.5% of total)

ival-cos: 2.0ms (9.5% of total)

ival-sqrt: 2.0ms (9.5% of total)

ival-pi: 1.0ms (4.8% of total)

ival-add: 1.0ms (4.8% of total)

exact: 1.0ms (4.8% of total)

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

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

series120.0ms (1.1%)

Memory

14.5MiB live, 91.1MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

21 calls:

Time	Variable		Point	Expression
47.0ms	u1	@	inf	(pow (* -2 (log u1)) 1/2)
24.0ms	u1	@	0	(pow (* -2 (log u1)) 1/2)
19.0ms	u2	@	inf	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
18.0ms	u1	@	-inf	(pow (* -2 (log u1)) 1/2)
2.0ms	u1	@	0	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)

simplify579.0ms (5.3%)

Memory

-7.0MiB live, 502.4MiB 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)))

rewrite148.0ms (1.4%)

Memory

20.9MiB live, 142.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 176

Calls

Call 1

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

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

eval31.0ms (0.3%)

Memory: 8.2MiB live, 45.7MiB allocated
Compiler: Compiled 7 687 to 694 computations (91% saved)

prune41.0ms (0.4%)

Memory

6.8MiB live, 82.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	247	13	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	13	261

Accuracy

100.0%

Counts

261 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(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))
	99.5%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.1%	(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
	99.2%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
▶	99.4%	(/.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 1/2 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)))))))
	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))
▶	99.1%	(+.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))
▶	98.9%	(+.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))
	98.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (.f64 (log.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))
	99.0%	(+.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))
▶	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 698 to 492 computations (29.5% saved)

simplify204.0ms (1.9%)

Memory

-19.3MiB live, 251.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 636×	`lower-fma.f32`
4 634×	`lower-fma.f64`
4 538×	`lower-*.f32`
4 508×	`lower-*.f64`
1 520×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	489
0	105	481
1	166	472
2	276	472
3	749	472
4	1688	472
5	3335	472
6	5293	472
7	7224	472
0	8042	466

Stop Event

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

Calls

Call 1

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

localize217.0ms (2%)

Memory

26.7MiB live, 427.0MiB 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	(log.f64 u1)
accuracy	0	(exp.f64 #s(literal 1/2 binary64))
accuracy	0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	61.998490585128856	(PI.f64)
accuracy	0	(*.f64 #s(literal -2 binary64) (log.f64 u1))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	61.998490585128856	(PI.f64)
accuracy	0	(sqrt.f64 (log.f64 u1))
accuracy	0	(sqrt.f64 #s(literal -2 binary64))
accuracy	0	(log.f64 u1)
accuracy	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy	0	(log.f64 u1)
accuracy	0	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy	0	#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	61.998490585128856	(PI.f64)

Samples

122.0ms

256×

invalid

Compiler

Compiled 476 to 51 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-sqrt: 23.0ms (25.1% of total)

ival-mult: 21.0ms (22.9% of total)

ival-pow: 10.0ms (10.9% of total)

ival-log: 7.0ms (7.6% of total)

ival-add: 5.0ms (5.4% of total)

ival-pow2: 5.0ms (5.4% of total)

ival-div: 4.0ms (4.4% of total)

ival-cos: 4.0ms (4.4% of total)

const: 4.0ms (4.4% of total)

ival-exp: 3.0ms (3.3% of total)

ival-sub: 2.0ms (2.2% of total)

ival-pi: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series256.0ms (2.3%)

Memory

-52.1MiB live, 226.9MiB allocated

Counts

26 → 396

Calls

Call 1

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

99 calls:

Time	Variable		Point	Expression
92.0ms	u2	@	inf	(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
52.0ms	u1	@	inf	(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
48.0ms	u1	@	0	(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
17.0ms	u1	@	-inf	(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
3.0ms	u2	@	0	(/ (- 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)) (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))))

simplify564.0ms (5.2%)

Memory

-10.8MiB live, 384.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 598×	`lower-fma.f64`
9 598×	`lower-fma.f32`
7 814×	`lower-*.f64`
7 814×	`lower-*.f32`
3 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	8035
1	818	7367
2	3060	7236
3	7859	7236
0	8122	6907

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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

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

rewrite448.0ms (4.1%)

Memory

43.8MiB live, 571.8MiB allocated

Rules

5 474×	`lower-*.f32`
5 448×	`lower-*.f64`
4 504×	`lower-/.f32`
4 502×	`lower-/.f64`
3 136×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	321
0	105	278
1	323	275
2	1658	273
0	8740	265

Stop Event

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

Counts

26 → 1 179

Calls

Call 1

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

eval421.0ms (3.9%)

Memory: 29.1MiB live, 576.1MiB allocated
Compiler: Compiled 99 046 to 4 657 computations (95.3% saved)

prune229.0ms (2.1%)

Memory

-33.4MiB live, 533.8MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	2 142	11	2 153
Fresh	7	1	8
Picked	5	0	5
Done	0	0	0
Total	2 154	12	2 166

Accuracy

100.0%

Counts

2 166 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶	99.7%	(+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	98.7%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
▶	99.4%	(+.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 u2 (.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	99.1%	(+.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))
	98.9%	#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)))
▶	99.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	98.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 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))))
	98.9%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.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 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
	98.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
▶	99.6%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))

Compiler

Compiled 496 to 360 computations (27.4% saved)

simplify463.0ms (4.2%)

Memory

29.5MiB live, 223.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))
cost-diff	0	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
cost-diff	0	(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.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 (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.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 #s(literal -2 binary64) (log.f64 u1))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 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)))
cost-diff	0	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 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))))
cost-diff	320	(fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 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 u2 (.f64 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 u2 (.f64 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))
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	320	(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
cost-diff	320	(.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
cost-diff	320	(.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
cost-diff	5824	(pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64))

Rules

7 084×	`lower-fma.f32`
7 074×	`lower-fma.f64`
5 042×	`lower-*.f32`
5 010×	`lower-*.f64`
1 938×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	525
0	111	503
1	189	492
2	337	486
3	635	486
4	1048	486
5	1287	486
6	1558	486
7	2149	486
8	2992	486
9	3436	486
10	3597	486
11	3866	486
12	4016	486
13	4207	486
14	4908	486
15	5073	486
16	5190	486
17	5238	486
18	5284	486
19	5343	486
20	5413	486
21	5617	486
22	5888	486
23	5996	486
24	7206	486
25	7922	486
26	7944	486
27	7948	486
28	7948	486
0	8378	475

Stop Event

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

Calls

Call 1

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

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

localize260.0ms (2.4%)

Memory

-17.7MiB live, 366.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
accuracy	0.09765625	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.24609375	(*.f64 u2 (PI.f64))
accuracy	0.25	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
accuracy	0.24565760946996829	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 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))))
accuracy	0.40462875976844204	(/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 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)))
accuracy	0.4119348719543148	(fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
accuracy	0.4566055632427715	(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
accuracy	0.09765625	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.36328125	(.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))
accuracy	0.37890625	(.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	0.4609375	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(log.f64 u1)
accuracy	0.12890625	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
accuracy	0.24565760946996829	#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	0.37109375	(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.04296875	(+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
accuracy	0.125	(pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64))
accuracy	0.24609375	(*.f64 (PI.f64) u2)
accuracy	0.3717575195368841	(.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))

Samples

168.0ms

256×

valid

Compiler

Compiled 439 to 62 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 49.0ms (38.4% of total)

ival-add: 28.0ms (22% of total)

const: 17.0ms (13.3% of total)

ival-log: 7.0ms (5.5% of total)

ival-sqrt: 6.0ms (4.7% of total)

ival-cos: 5.0ms (3.9% of total)

ival-pow: 5.0ms (3.9% of total)

ival-div: 3.0ms (2.4% of total)

ival-exp: 3.0ms (2.4% of total)

ival-pi: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series55.0ms (0.5%)

Memory

-9.7MiB live, 63.4MiB allocated

Counts

28 → 432

Calls

Call 1

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

Outputs
#s(alt (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)) (taylor 0 u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18)) (taylor inf u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18)) (taylor inf u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18)) (taylor inf u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18)) (taylor inf u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (patch (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor 0 u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* u2 (PI)) (taylor -inf u2) (#s(alt (.f64 u2 (PI.f64)) (patch (.f64 u2 (PI.f64)) #<representation binary64>) () ())) ())

Calls

108 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	0	(pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2)
2.0ms	u1	@	0	(pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2)
1.0ms	u2	@	inf	(+ (* (cos (* 2 (* u2 (PI)))) (* (sqrt (neg (log u1))) (* (sqrt 2) 1/6))) 1/2)
1.0ms	u2	@	0	(+ (* (cos (* 2 (* u2 (PI)))) (* (sqrt (neg (log u1))) (* (sqrt 2) 1/6))) 1/2)
1.0ms	u2	@	-inf	(pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2)

simplify318.0ms (2.9%)

Memory

13.5MiB live, 415.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
7 812×	`lower-*.f64`
7 812×	`lower-*.f32`
4 276×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	6710
1	787	6482
2	2708	6316
3	4591	6316
0	8533	5984

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -1/18))
(+ (* 1/9 (* (/ (* (pow u2 2) (pow (PI) 2)) (sqrt -1/18)) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18)))
(+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* 1/2 (* (/ (* (pow u2 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1))))))))
(+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (/ 1 (log u1))) (/ (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2)))) (sqrt -1/18)))) (* 1/2 (* (/ (* (pow u2 2) (- (* 64/405 (* (pow (PI) 6) (log u1))) (* 1/9 (/ (* (pow (PI) 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1))))))))))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (log u1))
(+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1)))))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1))))))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1)))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* 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)))))
(+ 1/2 (* 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))))
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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 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 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))

Outputs
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/18 binary64)))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/18 binary64)))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/18 binary64)))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/18 binary64)))
(* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(* (sqrt -1/18) (sqrt (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)))
(+ (* 1/9 (* (/ (* (pow u2 2) (pow (PI) 2)) (sqrt -1/18)) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18)))
(.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 #s(literal 1/9 binary64) (/.f64 (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 #s(literal -1/18 binary64))) (sqrt.f64 #s(literal -1/18 binary64))))
(+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* 1/2 (* (/ (* (pow u2 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1))))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (log.f64 u1) #s(literal -8/27 binary64) (.f64 (.f64 (log.f64 u1) #s(literal 18 binary64)) #s(literal 1/81 binary64))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -1/18 binary64)))) (.f64 u2 u2)) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 #s(literal 1/9 binary64) (/.f64 (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 #s(literal -1/18 binary64))) (sqrt.f64 #s(literal -1/18 binary64)))))
(+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (/ 1 (log u1))) (/ (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2)))) (sqrt -1/18)))) (* 1/2 (* (/ (* (pow u2 2) (- (* 64/405 (* (pow (PI) 6) (log u1))) (* 1/9 (/ (* (pow (PI) 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1))))))))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 u1)))) (fma.f64 u2 (.f64 u2 (/.f64 (fma.f64 (log.f64 u1) (.f64 #s(literal 64/405 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (log.f64 u1) #s(literal -8/27 binary64) (.f64 (.f64 (log.f64 u1) #s(literal 18 binary64)) #s(literal 1/81 binary64))))) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/18 binary64)))) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (fma.f64 (log.f64 u1) #s(literal -8/27 binary64) (.f64 (.f64 (log.f64 u1) #s(literal 18 binary64)) #s(literal 1/81 binary64)))) (sqrt.f64 #s(literal -1/18 binary64))))) (.f64 (.f64 u2 u2) (.f64 u2 u2)) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 #s(literal 1/9 binary64) (/.f64 (.f64 u2 (.f64 u2 (.f64 (PI.f64) (PI.f64)))) (sqrt.f64 #s(literal -1/18 binary64))) (sqrt.f64 #s(literal -1/18 binary64)))))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1)))))
(.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1))))))
(fma.f64 (.f64 u2 u2) (.f64 (log.f64 u1) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 2/9 binary64) (.f64 (.f64 u2 u2) (.f64 #s(literal -8/27 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1)))))))))
(fma.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal -8/27 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 u2 u2) #s(literal 64/405 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))))) (.f64 (.f64 u2 u2) (.f64 u2 u2)) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 4 binary64) (.f64 u2 (PI.f64)))) #s(literal 1/2 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
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(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))

rewrite288.0ms (2.6%)

Memory

-3.2MiB live, 370.9MiB allocated

Rules

5 532×	`lower-*.f32`
5 500×	`lower-*.f64`
4 766×	`lower-fma.f32`
4 756×	`lower-fma.f64`
3 402×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	371
0	111	333
1	376	315
2	2180	300
0	9345	292

Stop Event

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

Counts

28 → 830

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64) (.f64 (log.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))
(sqrt.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/72 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/72 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/72 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/72 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64)))))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64)))))))) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/72 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/72 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/72 binary64)))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (.f64 (.f64 (log.f64 u1) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/72 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 (.f64 #s(literal -2 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/72 binary64)))))
(.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(.f64 (pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/2 binary64)))
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(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 u1))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (log.f64 u1))))
(pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (log.f64 u1)) (neg.f64 (log.f64 u1))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/4 binary64)))
(+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 #s(literal -1/18 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 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)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) (.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 #s(literal -1/18 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.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))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.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)))))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/4 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 9 binary64)) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)))) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.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 binary64))
(.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
(.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (PI.f64) u2)
(*.f64 u2 (PI.f64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) u2))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) u2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) u2))
(.f64 (.f64 u2 #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

eval251.0ms (2.3%)

Memory: 27.4MiB live, 291.1MiB allocated
Compiler: Compiled 39 303 to 2 906 computations (92.6% saved)

prune196.0ms (1.8%)

Memory

30.5MiB live, 339.3MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	1 507	9	1 516
Fresh	6	1	7
Picked	4	1	5
Done	0	0	0
Total	1 517	11	1 528

Accuracy

100.0%

Counts

1 528 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(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 #s(literal -2 binary64) (.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶	99.7%	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
	99.6%	(+.f64 (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
▶	99.1%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	99.6%	#s(approx (+ (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2) 1/2) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/18 binary64)) #s(literal 1/2 binary64)))
	98.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	99.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
▶	99.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
▶	99.1%	#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 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
▶	99.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
	99.2%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (cos (* 2 (* u2 (PI)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))

Compiler

Compiled 349 to 273 computations (21.8% saved)

simplify15.0ms (0.1%)

Memory

-16.7MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)) (+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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)) (+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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)) #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)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
cost-diff	0	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
cost-diff	0	(log.f64 u1)
cost-diff	0	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))

Rules

112×	`lower-*.f32`
100×	`lower-*.f64`
56×	`lower-fma.f32`
52×	`lower-fma.f64`
44×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	354
0	76	339
1	110	339
2	143	339
3	151	339
4	160	339
5	167	339
6	181	339
7	186	339
8	190	339
9	190	339
0	190	335

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize172.0ms (1.6%)

Memory

7.5MiB live, 256.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24565760946996829	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
accuracy	0.37175751953688396	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
accuracy	0.40462875976844204	(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
accuracy	0.4119348719543148	(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
accuracy	0.09765625	(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy	0.25168055695930647	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
accuracy	0.37890625	(.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	0.4609375	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.24565760946996829	#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 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
accuracy	0.28515625	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
accuracy	0.37175751953688396	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
accuracy	0.04296875	(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))
accuracy	0.12109375	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
accuracy	0.24565760946996829	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
accuracy	0.37175751953688396	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
accuracy	0.05078125	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
accuracy	0.12109375	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
accuracy	0.24609375	(*.f64 (PI.f64) u2)
accuracy	0.37175751953688396	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))

Samples

76.0ms

256×

valid

Compiler

Compiled 301 to 42 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 15.0ms (28.4% of total)

ival-add: 8.0ms (15.1% of total)

ival-sqrt: 7.0ms (13.2% of total)

ival-div: 6.0ms (11.3% of total)

ival-log: 4.0ms (7.6% of total)

ival-cos: 4.0ms (7.6% of total)

const: 4.0ms (7.6% of total)

ival-pi: 1.0ms (1.9% of total)

ival-fabs: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series52.0ms (0.5%)

Memory

3.8MiB live, 41.5MiB allocated

Counts

21 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	-inf	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
1.0ms	u1	@	0	(+ (* (sqrt (* (log u1) -1/18)) (fabs (cos (* 2 (* (PI) u2))))) 1/2)
1.0ms	u1	@	-inf	(/ (+ (* (log u1) -1/18) -1/4) (+ -1/2 (sqrt (* (log u1) -1/18))))
1.0ms	u1	@	inf	(/ (+ (* (log u1) -1/18) -1/4) (+ -1/2 (sqrt (* (log u1) -1/18))))
1.0ms	u1	@	0	(/ (+ (* (log u1) -1/18) -1/4) (+ -1/2 (sqrt (* (log u1) -1/18))))

simplify349.0ms (3.2%)

Memory

25.7MiB live, 443.0MiB allocated

Algorithm

1×	egg-herbie

Rules

19 858×	`lower-fma.f64`
19 858×	`lower-fma.f32`
5 572×	`lower-*.f64`
5 572×	`lower-*.f32`
3 306×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	4666
1	369	4526
2	1047	4444
3	3109	4374
4	3992	4359
5	5701	4359
6	6398	4359
7	7114	4359
0	8002	4119

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite159.0ms (1.5%)

Memory

-23.2MiB live, 177.2MiB allocated

Rules

838×	`lower-*.f32`
826×	`lower-*.f64`
688×	`lower-fma.f32`
684×	`lower-fma.f64`
448×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	253
0	76	223
1	248	223
0	1448	219

Stop Event

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

Counts

21 → 372

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (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 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -1/18 binary64)) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1/18 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (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 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (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 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (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 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)))))))
(.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (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 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64)))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 #s(literal -1/18 binary64))))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1/18 binary64)))
(log.f64 u1)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(-.f64 (/.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1/18 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64) #s(literal -1/64 binary64)) (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (.f64 (log.f64 u1) #s(literal 1/72 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) #s(literal -1/16 binary64)) (.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64))))
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eval84.0ms (0.8%)

Memory: 35.9MiB live, 214.4MiB allocated
Compiler: Compiled 15 890 to 901 computations (94.3% saved)

prune367.0ms (3.4%)

Memory

-24.9MiB live, 210.7MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	867	2	869
Fresh	1	4	5
Picked	1	4	5
Done	0	1	1
Total	869	11	880

Accuracy

100.0%

Counts

880 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(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 #s(literal -2 binary64) (.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	99.7%	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
	99.6%	(+.f64 (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
	99.1%	(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	99.6%	#s(approx (+ (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2) 1/2) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/18 binary64)) #s(literal 1/2 binary64)))
✓	99.1%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	99.0%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
✓	99.1%	#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 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
	98.8%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
✓	99.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
	99.2%	#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (cos (* 2 (* u2 (PI)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))

Compiler

Compiled 902 to 314 computations (65.2% saved)

regimes137.0ms (1.3%)

Memory

-1.7MiB live, 226.6MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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)))
#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 (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (cos (* 2 (* u2 (PI)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.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) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #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 #s(literal -2 binary64) (.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) #s(literal 1/6 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 u2 (.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (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 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 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 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2) 1/2) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/18 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.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 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #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 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 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))) (.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)) #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) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.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 (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 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 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (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))
(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 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (.f64 (log.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 (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 (-.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 1/2 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 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))

Outputs

(+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))

Calls

10 calls:

30.0ms	(+.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))
17.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
14.0ms	u1
13.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
12.0ms	(.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)))

Results

Accuracy	Segments	Branch
99.7%	1	`u1`
99.7%	1	`u2`
99.7%	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))`
99.7%	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)))`
99.7%	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)))`
99.7%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.7%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.7%	1	`(log.f64 u1)`
99.7%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.7%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes121.0ms (1.1%)

Memory

11.3MiB live, 165.7MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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)))
#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 (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (cos (* 2 (* u2 (PI)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.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) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #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 #s(literal -2 binary64) (.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) #s(literal 1/6 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 u2 (.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (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 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 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 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)))))))
#s(approx (+ (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2) 1/2) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (fma.f64 (cos.f64 (.f64 #s(literal 4 binary64) (*.f64 u2 (PI.f64)))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 1/18 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.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 (fma.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #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 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 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))) (.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)) #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) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.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
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))

Calls

10 calls:

31.0ms	u2
27.0ms	(.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)))
13.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
8.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
7.0ms	(.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)))

Results

Accuracy	Segments	Branch
99.7%	1	`u1`
99.7%	1	`u2`
99.7%	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))`
99.7%	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)))`
99.7%	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)))`
99.7%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.7%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.7%	1	`(log.f64 u1)`
99.7%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.7%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes40.0ms (0.4%)

Memory

-18.2MiB live, 99.8MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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)))
#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 (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 #s(approx (cos (* 2 (* u2 (PI)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (neg.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) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #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 #s(literal -2 binary64) (.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)))) #s(literal 1/6 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 u2 (.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))

Outputs

(+.f64 (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (*.f64 (log.f64 u1) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal 2/9 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))

Calls

10 calls:

5.0ms	u1
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
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)))
4.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
4.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))

Results

Accuracy	Segments	Branch
99.6%	1	`u1`
99.6%	1	`u2`
99.6%	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))`
99.6%	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)))`
99.6%	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)))`
99.6%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.6%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.6%	1	`(log.f64 u1)`
99.6%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.6%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes37.0ms (0.3%)

Memory

13.4MiB live, 90.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

10 calls:

6.0ms	u2
5.0ms	(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))
3.0ms	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
3.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))

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

1.5MiB live, 81.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

Calls

10 calls:

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))
6.0ms	(*.f64 #s(literal -2 binary64) (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	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
99.4%	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)

regimes29.0ms (0.3%)

Memory

1.1MiB live, 78.1MiB allocated

Accuracy

Total -63.5b remaining (-14037.7%)

Threshold costs -63.5b (-14037.7%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

simplify9.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
18×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	171
1	118	171
2	130	171
3	136	171
4	138	171

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))) #s(literal 1/2 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 u2 (.f64 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(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (*.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) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))

Outputs
(+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (pow.f64 #s(approx (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) (.f64 (log.f64 u1) (fma.f64 (.f64 (.f64 u2 u2) #s(literal 2/9 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1/18 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 u2 (.f64 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 u2 (.f64 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(approx (cos ( (* 2 (PI)) u2)) (fma.f64 u2 (.f64 #s(literal -2 binary64) (.f64 u2 (*.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) (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))

soundness1.5s (14.1%)

Memory

-0.8MiB live, 841.3MiB allocated

Rules

43 450×	`lower-fma.f64`
43 450×	`lower-fma.f32`
11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
9 598×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	8035
1	818	7367
2	3060	7236
3	7859	7236
0	8122	6907
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	61	321
0	105	278
1	323	275
2	1658	273
0	8740	265
0	267	6710
1	787	6482
2	2708	6316
3	4591	6316
0	8533	5984
0	69	371
0	111	333
1	376	315
2	2180	300
0	9345	292
0	18	52
0	30	48
1	81	48
2	372	48
0	2866	47

Stop Event

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

Compiler

Compiled 368 to 235 computations (36.1% saved)

preprocess67.0ms (0.6%)

Memory: -1.7MiB live, 119.2MiB allocated
Remove: (abs u2)
Compiler: Compiled 468 to 302 computations (35.5% 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	51	354
0	76	339
1	110	339
2	143	339
3	151	339
4	160	339
5	167	339
6	181	339
7	186	339
8	190	339
9	190	339
0	190	335

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	51	354
0	76	339
1	110	339
2	143	339
3	151	339
4	160	339
5	167	339
6	181	339
7	186	339
8	190	339
9	190	339
0	190	335

start0.0ms (0%)

analyze42.0ms (0.4%)

sample2.2s (20.3%)

explain193.0ms (1.8%)

preprocess33.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize115.0ms (1.1%)

series120.0ms (1.1%)

simplify579.0ms (5.3%)

rewrite148.0ms (1.4%)

eval31.0ms (0.3%)

prune41.0ms (0.4%)

simplify204.0ms (1.9%)

localize217.0ms (2%)

series256.0ms (2.3%)

simplify564.0ms (5.2%)

rewrite448.0ms (4.1%)

eval421.0ms (3.9%)

prune229.0ms (2.1%)

simplify463.0ms (4.2%)

localize260.0ms (2.4%)

series55.0ms (0.5%)

simplify318.0ms (2.9%)

rewrite288.0ms (2.6%)

eval251.0ms (2.3%)

prune196.0ms (1.8%)

simplify15.0ms (0.1%)

localize172.0ms (1.6%)

series52.0ms (0.5%)

simplify349.0ms (3.2%)

rewrite159.0ms (1.5%)

eval84.0ms (0.8%)

prune367.0ms (3.4%)

regimes137.0ms (1.3%)

regimes121.0ms (1.1%)

regimes40.0ms (0.4%)

regimes37.0ms (0.3%)

regimes38.0ms (0.3%)

regimes29.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.5s (14.1%)

preprocess67.0ms (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

Iter	Nodes	Cost
0	51	354
0	76	339
1	110	339
2	143	339
3	151	339
4	160	339
5	167	339
6	181	339
7	186	339
8	190	339
9	190	339
0	190	335