Metrics for normal distribution

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.2%)

Memory

-6.0MiB live, 34.7MiB 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)

sample2.1s (20%)

Memory

71.3MiB live, 1 581.6MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-<=: 367.0ms (30.3% of total)

ival-div: 229.0ms (18.9% of total)

ival-mult: 228.0ms (18.8% of total)

ival-log: 138.0ms (11.4% of total)

ival-cos: 80.0ms (6.6% of total)

ival-sqrt: 53.0ms (4.4% of total)

ival-add: 42.0ms (3.5% of total)

ival-pi: 30.0ms (2.5% of total)

exact: 22.0ms (1.8% of total)

ival-and: 20.0ms (1.7% of total)

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

Bogosity

explain225.0ms (2.1%)

Memory

-12.6MiB live, 256.0MiB 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

98.0ms

512×

valid

Compiler

Compiled 191 to 58 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-log: 44.0ms (57.5% of total)

ival-mult: 15.0ms (19.6% of total)

ival-div: 4.0ms (5.2% of total)

ival-cos: 4.0ms (5.2% of total)

ival-add: 3.0ms (3.9% of total)

ival-sqrt: 3.0ms (3.9% of total)

ival-pi: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

preprocess28.0ms (0.3%)

Memory

-8.3MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs u2)

Compiler

Compiled 21 to 18 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.4%

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

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify5.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.4%)

Memory

29.6MiB live, 75.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
accuracy	0.13671875	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy	0.203125	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy	0.375	(.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

31.0ms

256×

valid

Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions

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

ival-mult: 9.0ms (44% of total)

ival-log: 3.0ms (14.7% of total)

ival-div: 2.0ms (9.8% of total)

ival-cos: 2.0ms (9.8% of total)

ival-sqrt: 2.0ms (9.8% of total)

ival-pi: 1.0ms (4.9% of total)

ival-add: 1.0ms (4.9% of total)

exact: 1.0ms (4.9% of total)

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

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

series86.0ms (0.8%)

Memory

-33.3MiB live, 106.0MiB 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
29.0ms	u1	@	0	(pow (* -2 (log u1)) 1/2)
22.0ms	u1	@	-inf	(pow (* -2 (log u1)) 1/2)
12.0ms	u2	@	inf	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
6.0ms	u1	@	inf	(pow (* -2 (log u1)) 1/2)
4.0ms	u1	@	inf	(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))

simplify701.0ms (6.6%)

Memory

39.1MiB live, 592.0MiB 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)))

rewrite129.0ms (1.2%)

Memory

-18.6MiB live, 128.5MiB 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)))

eval27.0ms (0.3%)

Memory: 8.2MiB live, 52.2MiB allocated
Compiler: Compiled 7 687 to 694 computations (91% saved)

prune47.0ms (0.4%)

Memory

0.9MiB live, 91.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	243	17	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	17	261

Accuracy

100.0%

Counts

261 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
	99.4%	(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
	99.5%	(fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
	99.1%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
	99.0%	(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
	99.3%	(/.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)))))))
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
	99.1%	(-.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))))
	98.9%	(+.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))
	99.4%	(+.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 2 binary64)) #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))
▶	98.8%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
	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))
	99.0%	(.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
▶	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 982 to 654 computations (33.4% saved)

simplify171.0ms (1.6%)

Memory

32.2MiB live, 213.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

5 130×	`lower-fma.f32`
5 128×	`lower-fma.f64`
3 732×	`lower-*.f32`
3 702×	`lower-*.f64`
1 940×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	527
0	107	519
1	170	510
2	297	508
3	809	508
4	1729	508
5	3089	508
6	4850	508
7	6899	508
0	8014	501

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

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

localize270.0ms (2.5%)

Memory

-4.4MiB live, 382.6MiB 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

177.0ms

256×

invalid

Compiler

Compiled 514 to 52 computations (89.9% saved)

Precisions

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

ival-mult: 48.0ms (35.8% of total)

ival-cos: 35.0ms (26.1% of total)

ival-pow: 12.0ms (9% of total)

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

ival-log: 6.0ms (4.5% of total)

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

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

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

const: 4.0ms (3% of total)

ival-exp: 3.0ms (2.2% of total)

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

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series146.0ms (1.4%)

Memory

-2.8MiB live, 285.9MiB 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>) () ())
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#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>) () ())
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#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 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64))))) #<representation binary64>) () ())
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#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>) () ())
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#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>) () ())) ())
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#s(alt (* -2 (log u1)) (taylor 0 u1) (#s(alt (.f64 #s(literal -2 binary64) (log.f64 u1)) (patch (.f64 #s(literal -2 binary64) (log.f64 u1)) #<representation binary64>) () ())) ())
#s(alt (* 2 (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 (* 2 (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 (* 2 (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 (* 2 (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 (* -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 (* -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 (* -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 (* -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
47.0ms	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)
16.0ms	u1	@	-inf	(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
15.0ms	u2	@	inf	(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
8.0ms	u1	@	-inf	(/ 1 (/ (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (- 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))))

simplify479.0ms (4.5%)

Memory

-65.7MiB live, 224.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 414×	`lower-*.f64`
8 414×	`lower-*.f32`
6 240×	`lower-fma.f64`
6 240×	`lower-fma.f32`
3 468×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	9215
1	929	8480
2	3451	8480
0	8024	8070

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))
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(/ (- 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))))))
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(/ (- 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))))))
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(* (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
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(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
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1
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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))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
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(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.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 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 1/4 binary64)))
(/ (- 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))))))
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.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 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/6 binary64)))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/6 binary64)))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/6 binary64)))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (.f64 u2 u2) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64))) (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 #s(literal 1/9 binary64) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (.f64 #s(literal -2/135 binary64) (.f64 u2 u2)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))))) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (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)))))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 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 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)) u2) u2)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(* -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 (.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)) u2) u2)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(.f64 (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)))))

rewrite371.0ms (3.5%)

Memory

14.2MiB live, 482.0MiB allocated

Rules

4 268×	`lower-*.f32`
4 242×	`lower-*.f64`
4 086×	`lower-fma.f32`
4 084×	`lower-fma.f64`
3 976×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	338
0	107	293
1	334	273
2	1754	273
0	8289	264

Stop Event

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

Counts

26 → 1 058

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 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(-.f64 #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 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
(.f64 (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)))))
(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 #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))))))
(+.f64 (.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))
(-.f64 (/.f64 (pow.f64 (.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 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))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (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 #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))))))) (/.f64 (pow.f64 (.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 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.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))))))))
(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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.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 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (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 (-.f64 #s(literal 1/2 binary64) (.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)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.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 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (.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 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.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 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (.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 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.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 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 #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 #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 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.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)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.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 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))) (.f64 (fma.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(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 #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))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/6 binary64) (.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 1/2 binary64)))))))
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eval327.0ms (3.1%)

Memory: 68.1MiB live, 513.8MiB allocated
Compiler: Compiled 91 212 to 5 238 computations (94.3% saved)

prune291.0ms (2.7%)

Memory

-70.8MiB live, 440.2MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	2 087	12	2 099
Fresh	11	1	12
Picked	5	0	5
Done	0	0	0
Total	2 103	13	2 116

Accuracy

100.0%

Counts

2 116 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
▶	99.6%	(+.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))
	99.1%	(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
▶	98.3%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	98.0%	(+.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))))) #s(approx (cos ( (* 2 (PI)) u2)) #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)) (fma.f64 u2 (.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	98.7%	(+.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))
▶	98.6%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	98.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.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))))
▶	98.3%	#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)))))))
	98.5%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (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)))))
	99.5%	#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 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))) #s(literal 1/2 binary64)))

Compiler

Compiled 510 to 398 computations (22% saved)

simplify277.0ms (2.6%)

Memory

33.1MiB live, 343.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

6 752×	`lower-fma.f32`
6 748×	`lower-fma.f64`
4 914×	`lower-*.f32`
4 884×	`lower-*.f64`
1 276×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	532
0	103	504
1	180	482
2	358	476
3	770	476
4	1346	476
5	1910	476
6	3097	476
7	5089	476
8	5880	476
9	6458	476
10	6835	476
11	6931	476
12	7319	476
13	7797	476
14	7925	476
0	8023	462

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

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

localize300.0ms (2.8%)

Memory

9.0MiB live, 302.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
accuracy	0.375	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.555496534906535	#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
accuracy	0.5576362793053261	(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.375	(.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))
accuracy	0.375663769536884	(.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
accuracy	0.475605029305326	(/.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))))))
accuracy	0.5390508253523631	#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)))))))
accuracy	0.25022074473354283	#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)))
accuracy	0.34765625	(.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))
accuracy	0.375	(.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	0.4209175293053261	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0	(log.f64 u1)
accuracy	0.13671875	(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
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	0.5390508253523631	#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	0.0546875	(+.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	0.11328125	(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	0.203125	(*.f64 (PI.f64) u2)
accuracy	0.375663769536884	(.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))

Samples

110.0ms

256×

valid

Compiler

Compiled 457 to 53 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 30.0ms (36.2% of total)

ival-add: 17.0ms (20.5% of total)

const: 6.0ms (7.2% of total)

ival-sqrt: 6.0ms (7.2% of total)

ival-pow: 5.0ms (6% of total)

ival-log: 4.0ms (4.8% of total)

ival-div: 3.0ms (3.6% of total)

ival-cos: 3.0ms (3.6% of total)

ival-sub: 2.0ms (2.4% of total)

ival-pow2: 2.0ms (2.4% of total)

ival-pi: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series46.0ms (0.4%)

Memory

21.3MiB live, 66.2MiB allocated

Counts

29 → 444

Calls

Call 1

Inputs
#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 (.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 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (patch (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) (patch (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.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))))))) (patch #s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.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))))))) #<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))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (patch (+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) u2) (patch (.f64 (PI.f64) u2) #<representation binary64>) () ())
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#s(alt (log.f64 u1) (patch (log.f64 u1) #<representation binary64>) () ())
#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>) () ())
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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>) () ())) ())
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#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>) () ())) ())
#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>) () ())) ())
#s(alt (* (sqrt (log u1)) (sqrt -1/18)) (taylor 0 u2) (#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 (+ (* 1/9 (* (/ (* (pow u2 2) (pow (PI) 2)) (sqrt -1/18)) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18))) (taylor 0 u2) (#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)) (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)))))))) (taylor 0 u2) (#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)) (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)))))))))) (taylor 0 u2) (#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 inf u2) (#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 inf u2) (#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 u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (taylor 0 u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) (taylor inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) (taylor -inf u1) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (log u1)) 1/4) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (log u1)) 1/4) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (log u1)) 1/4) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (log u1)) 1/4) (taylor 0 u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 2 (log (/ 1 u1))) 1/4) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 2 (log (/ 1 u1))) 1/4) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 2 (log (/ 1 u1))) 1/4) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 2 (log (/ 1 u1))) 1/4) (taylor inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (taylor -inf u1) (#s(alt (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())

Calls

111 calls:

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

simplify280.0ms (2.6%)

Memory

-7.6MiB live, 375.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 364×	`lower-fma.f64`
9 364×	`lower-fma.f32`
7 144×	`lower-*.f64`
7 144×	`lower-*.f32`
3 918×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	6796
1	644	6592
2	2179	6448
3	4094	6382
0	8072	6074

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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

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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 u1))) (.f64 u2 u2)) (.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -2/27 binary64))) (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 (.f64 u2 u2) (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -2/27 binary64))) #s(literal 2 binary64) (.f64 (log.f64 u1) (.f64 #s(literal 64/405 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))))) (sqrt.f64 #s(literal -1/18 binary64))) (/.f64 (.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -2/27 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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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 (PI.f64) (.f64 #s(literal 4 binary64) u2))) #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)))))
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(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (PI.f64) (.f64 (PI.f64) #s(literal -2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (.f64 (*.f64 u2 u2) #s(literal 2/3 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 u2 (.f64 (PI.f64) #s(literal 2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))

rewrite266.0ms (2.5%)

Memory

-1.9MiB live, 367.2MiB allocated

Rules

5 228×	`lower-*.f32`
5 198×	`lower-*.f64`
3 598×	`lower-/.f32`
3 596×	`lower-/.f64`
2 790×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	392
0	103	341
1	352	325
2	2073	302
0	8457	294

Stop Event

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

Counts

29 → 893

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

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

eval296.0ms (2.8%)

Memory: -9.3MiB live, 274.2MiB allocated
Compiler: Compiled 41 387 to 3 104 computations (92.5% saved)

prune166.0ms (1.6%)

Memory

41.4MiB live, 364.6MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 600	13	1 613
Fresh	7	1	8
Picked	4	1	5
Done	0	0	0
Total	1 611	15	1 626

Accuracy

100.0%

Counts

1 626 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(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 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶	99.1%	(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)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 binary64))
▶	99.6%	(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))
	99.2%	(+.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))
	98.7%	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
▶	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)) (fma.f64 u2 (.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
	98.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	98.6%	#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)))
	98.5%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))))
	98.5%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
	98.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)))
▶	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) #s(literal -1 binary64))))

Compiler

Compiled 503 to 393 computations (21.9% saved)

simplify46.0ms (0.4%)

Memory

-15.7MiB live, 35.0MiB 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	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
cost-diff	320	(.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #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 #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)) (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	0	#s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))))
cost-diff	0	(.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))))))
cost-diff	0	(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)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 binary64))
cost-diff	128	(neg.f64 (*.f64 (log.f64 u1) #s(literal 2 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

342×	`lower-*.f32`
314×	`lower-*.f64`
192×	`lower-fma.f32`
182×	`lower-fma.f64`
146×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	476
0	98	462
1	162	458
2	246	458
3	332	458
4	365	458
5	382	458
6	420	458
7	440	458
8	446	458
0	446	455

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

localize223.0ms (2.1%)

Memory

-6.7MiB live, 287.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3203125	(.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))))
accuracy	0.375663769536884	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
accuracy	0.42311378877493955	(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
accuracy	0.5390508253523631	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
accuracy	0.25022074473354283	#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)))
accuracy	0.34765625	(.f64 u2 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))
accuracy	0.375	(.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.4209175293053261	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.203125	(*.f64 (PI.f64) u2)
accuracy	0.25022074473354283	#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)))
accuracy	0.30859375	(.f64 (.f64 (PI.f64) u2) (PI.f64))
accuracy	0.375	(.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))))))
accuracy	0.0546875	(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
accuracy	0.1171875	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
accuracy	0.375663769536884	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
accuracy	0.5390508253523631	#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	0.0546875	(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	0.1171875	(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
accuracy	0.203125	(*.f64 (PI.f64) u2)
accuracy	0.375663769536884	(*.f64 (log.f64 u1) #s(literal -1/18 binary64))

Samples

132.0ms

256×

valid

Compiler

Compiled 356 to 56 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 67.0ms (63.6% of total)

ival-add: 8.0ms (7.6% of total)

ival-sqrt: 8.0ms (7.6% of total)

const: 7.0ms (6.6% of total)

ival-log: 4.0ms (3.8% of total)

ival-div: 3.0ms (2.8% of total)

ival-cos: 3.0ms (2.8% of total)

ival-neg: 2.0ms (1.9% of total)

ival-pi: 1.0ms (0.9% of total)

ival-fabs: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series26.0ms (0.2%)

Memory

7.3MiB live, 51.4MiB allocated

Counts

23 → 348

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

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

Calls

87 calls:

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

simplify406.0ms (3.8%)

Memory

47.5MiB live, 497.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20 084×	`lower-fma.f64`
20 084×	`lower-fma.f32`
4 862×	`lower-*.f64`
4 862×	`lower-*.f32`
3 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	4790
1	382	4662
2	1084	4584
3	2415	4514
4	3184	4514
5	4798	4514
6	6164	4514
7	6921	4514
8	7753	4514
0	8026	4304

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(- (* -1/18 (log u1)) 1/4)
(- (* -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))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
(* u2 (pow (PI) 2))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (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))))))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))

Outputs
(+ 1/2 (* (* (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 (sqrt.f64 #s(literal -1/18 binary64)) (.f64 (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)))))
(fma.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 #s(literal -1/18 binary64)) (.f64 (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)))))
(fma.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 #s(literal -1/18 binary64)) (.f64 (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)))))
(fma.f64 (fabs.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 #s(literal -1/18 binary64)) (.f64 (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 -1/18)) (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 -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 -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 -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))))
(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))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1/18))
(*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -1) (sqrt -1/18)))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -1) (sqrt -1/18)))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -1) (sqrt -1/18)))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -1) (sqrt -1/18)))
(.f64 (sqrt.f64 #s(literal -1/18 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.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)))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.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)))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.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)))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.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)))))
(* -1/18 (log u1))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (log u1))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (log u1))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (log u1))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ 1/2 (* 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 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
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(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)
(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))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
(* u2 (pow (PI) 2))
(.f64 u2 (.f64 (PI.f64) (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 u2 (*.f64 u2 (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 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (fma.f64 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 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (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))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* -2 (* u2 (pow (PI) 2)))
(.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (PI.f64) (.f64 #s(literal -2 binary64) (.f64 u2 (*.f64 u2 (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 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f64 (.f64 u2 u2) (fma.f64 (.f64 u2 u2) (fma.f64 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 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 1 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 u2 (PI.f64))))

rewrite434.0ms (4.1%)

Memory

-22.0MiB live, 225.3MiB allocated

Rules

1 140×	`lower-*.f32`
1 114×	`lower-*.f64`
952×	`lower-fma.f32`
942×	`lower-fma.f64`
416×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	333
0	98	293
1	316	293
0	1907	291

Stop Event

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

Counts

23 → 255

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

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 (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)) #s(literal 1/8 binary64))))
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#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 #s(literal -2 binary64) (.f64 u2 (.f64 (PI.f64) (*.f64 (PI.f64) u2))) #s(literal 1 binary64)))

eval126.0ms (1.2%)

Memory: -8.7MiB live, 173.8MiB allocated
Compiler: Compiled 16 904 to 849 computations (95% saved)

prune72.0ms (0.7%)

Memory

27.2MiB live, 176.8MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	764	4	768
Fresh	2	7	9
Picked	2	3	5
Done	0	1	1
Total	768	15	783

Accuracy

100.0%

Counts

783 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 binary64))
	99.1%	(fma.f64 (.f64 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 #s(literal -2 binary64) (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) u2))) #s(literal 1 binary64))) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
	99.1%	(fma.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)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓	99.6%	(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))
	99.2%	(+.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))
	98.7%	(+.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))
	98.3%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	97.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	98.6%	#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)))
	98.5%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))))
	98.5%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
	98.7%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)))
✓	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
	98.4%	#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) #s(literal -1 binary64))))

Compiler

Compiled 1 229 to 390 computations (68.3% saved)

regimes147.0ms (1.4%)

Memory

-52.6MiB live, 324.6MiB allocated

Counts

47 → 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 (* -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))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 #s(literal -2 binary64) (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) u2))) #s(literal 1 binary64))) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) 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 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #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 (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.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)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 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)) (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 (/.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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.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 (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 (+ (* (* (/ 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 (.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (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 (.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)))))
(/.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 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (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 (.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))
(+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 2 binary64)) #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))))) #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 (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)) (pow.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (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 (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 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) (log.f64 u1))) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(-.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))))

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:

19.0ms	u1
15.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
15.0ms	(+.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))
15.0ms	(*.f64 #s(literal -2 binary64) (log.f64 u1))
14.0ms	(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)

regimes53.0ms (0.5%)

Memory

6.3MiB live, 149.5MiB allocated

Counts

16 → 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 (* -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))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 #s(literal -2 binary64) (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) u2))) #s(literal 1 binary64))) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) 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 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #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 (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.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)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 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)) (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 (/.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:

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

Results

Accuracy	Segments	Branch
99.2%	1	`u1`
99.2%	1	`u2`
99.2%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
99.2%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
99.2%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
99.2%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.2%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.2%	1	`(log.f64 u1)`
99.2%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.2%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes62.0ms (0.6%)

Memory

15.1MiB live, 66.0MiB allocated

Counts

15 → 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 (* -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))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 #s(literal -2 binary64) (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) u2))) #s(literal 1 binary64))) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) 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 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #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 (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.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)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 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)) (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 (/.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

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

Calls

10 calls:

18.0ms	(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))
5.0ms	(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
5.0ms	(.f64 (.f64 (/.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)))
5.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
5.0ms	(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
99.1%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
99.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
99.1%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.1%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.1%	1	`(log.f64 u1)`
99.1%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes208.0ms (2%)

Memory

-38.9MiB live, 54.4MiB allocated

Counts

12 → 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 (* -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))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 #s(literal -2 binary64) (.f64 u2 (.f64 (PI.f64) (.f64 (PI.f64) u2))) #s(literal 1 binary64))) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) #s(approx (pow ( -2 (log u1)) 1/2) (sqrt.f64 (neg.f64 (.f64 (log.f64 u1) #s(literal 2 binary64)))))) #s(approx (cos ( (* 2 (PI)) u2)) (fma.f64 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) 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 (.f64 (.f64 (PI.f64) u2) (PI.f64)) (*.f64 #s(literal -2 binary64) u2) #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 (pow (* -2 (log u1)) 1/4) 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))) #s(approx (cos ( (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))

Outputs

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

Calls

10 calls:

167.0ms	(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)
8.0ms	u1
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	(.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 #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
99.1%	1	`u1`
99.1%	1	`u2`
99.1%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
99.1%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
99.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
99.1%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
99.1%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
99.1%	1	`(log.f64 u1)`
99.1%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`
99.1%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`

Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes27.0ms (0.3%)

Memory

22.4MiB live, 67.8MiB allocated

Accuracy

Total -63.2b remaining (-8259.3%)

Threshold costs -63.2b (-8259.3%)

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

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

Results

Accuracy	Segments	Branch
98.8%	1	`u1`
98.8%	1	`u2`
98.8%	1	`(log.f64 u1)`
98.8%	1	`(.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2)`
98.8%	1	`(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))`
98.8%	1	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))`
98.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))`
98.8%	1	`(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))`
98.8%	1	`(*.f64 #s(literal -2 binary64) (log.f64 u1))`
98.8%	1	`(cos.f64 (.f64 (.f64 #s(literal 2 binary64) (PI.f64)) u2))`

Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify7.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	144
1	89	144
2	91	144
3	92	144

Stop Event

1×

saturated

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

soundness1.6s (14.9%)

Memory

17.6MiB live, 1 053.3MiB allocated

Rules

43 450×	`lower-fma.f64`
43 450×	`lower-fma.f32`
20 084×	`lower-fma.f64`
20 084×	`lower-fma.f32`
9 364×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	9215
1	929	8480
2	3451	8480
0	8024	8070
0	146	4790
1	382	4662
2	1084	4584
3	2415	4514
4	3184	4514
5	4798	4514
6	6164	4514
7	6921	4514
8	7753	4514
0	8026	4304
0	61	333
0	98	293
1	316	293
0	1907	291
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	221	6796
1	644	6592
2	2179	6448
3	4094	6382
0	8072	6074
0	62	392
0	103	341
1	352	325
2	2073	302
0	8457	294
0	62	338
0	107	293
1	334	273
2	1754	273
0	8289	264
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×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 401 to 237 computations (40.9% saved)

preprocess81.0ms (0.8%)

Memory: -47.1MiB live, 103.8MiB allocated
Remove: (abs u2)
Compiler: Compiled 310 to 202 computations (34.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	61	476
0	98	462
1	162	458
2	246	458
3	332	458
4	365	458
5	382	458
6	420	458
7	440	458
8	446	458
0	446	455

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

Iter	Nodes	Cost
0	61	476
0	98	462
1	162	458
2	246	458
3	332	458
4	365	458
5	382	458
6	420	458
7	440	458
8	446	458
0	446	455

start0.0ms (0%)

analyze25.0ms (0.2%)

sample2.1s (20%)

explain225.0ms (2.1%)

preprocess28.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize47.0ms (0.4%)

series86.0ms (0.8%)

simplify701.0ms (6.6%)

rewrite129.0ms (1.2%)

eval27.0ms (0.3%)

prune47.0ms (0.4%)

simplify171.0ms (1.6%)

localize270.0ms (2.5%)

series146.0ms (1.4%)

simplify479.0ms (4.5%)

rewrite371.0ms (3.5%)

eval327.0ms (3.1%)

prune291.0ms (2.7%)

simplify277.0ms (2.6%)

localize300.0ms (2.8%)

series46.0ms (0.4%)

simplify280.0ms (2.6%)

rewrite266.0ms (2.5%)

eval296.0ms (2.8%)

prune166.0ms (1.6%)

simplify46.0ms (0.4%)

localize223.0ms (2.1%)

series26.0ms (0.2%)

simplify406.0ms (3.8%)

rewrite434.0ms (4.1%)

eval126.0ms (1.2%)

prune72.0ms (0.7%)

regimes147.0ms (1.4%)

regimes53.0ms (0.5%)

regimes62.0ms (0.6%)

regimes208.0ms (2%)

regimes27.0ms (0.3%)

simplify7.0ms (0.1%)

soundness1.6s (14.9%)

preprocess81.0ms (0.8%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	61	476
0	98	462
1	162	458
2	246	458
3	332	458
4	365	458
5	382	458
6	420	458
7	440	458
8	446	458
0	446	455